0.003 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.251 * * * [progress]: [2/2] Setting up program. 0.254 * [progress]: [Phase 2 of 3] Improving. 0.254 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.254 * [simplify]: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) 0.254 * * [simplify]: iters left: 6 (12 enodes) 0.258 * * [simplify]: iters left: 5 (49 enodes) 0.267 * * [simplify]: iters left: 4 (82 enodes) 0.280 * * [simplify]: iters left: 3 (114 enodes) 0.332 * * [simplify]: iters left: 2 (129 enodes) 0.362 * * [simplify]: iters left: 1 (147 enodes) 0.380 * * [simplify]: Extracting #0: cost 1 inf + 0 0.381 * * [simplify]: Extracting #1: cost 10 inf + 0 0.381 * * [simplify]: Extracting #2: cost 45 inf + 0 0.381 * * [simplify]: Extracting #3: cost 53 inf + 514 0.382 * * [simplify]: Extracting #4: cost 19 inf + 4989 0.383 * * [simplify]: Extracting #5: cost 2 inf + 8052 0.385 * * [simplify]: Extracting #6: cost 0 inf + 8218 0.387 * [simplify]: Simplified to (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 0.387 * [simplify]: Simplified (2) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 0.401 * * [progress]: iteration 1 / 4 0.401 * * * [progress]: picking best candidate 0.407 * * * * [pick]: Picked # 0.407 * * * [progress]: localizing error 0.430 * * * [progress]: generating rewritten candidates 0.430 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.449 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.481 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.501 * * * [progress]: generating series expansions 0.501 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.502 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) into (/ (sqrt 2) (+ (pow a2 2) (pow a1 2))) 0.502 * [approximate]: Taking taylor expansion of (/ (sqrt 2) (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0 0.502 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (pow a2 2) (pow a1 2))) in a2 0.502 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.502 * [taylor]: Taking taylor expansion of 2 in a2 0.502 * [backup-simplify]: Simplify 2 into 2 0.503 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.503 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 0.503 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.503 * [taylor]: Taking taylor expansion of a2 in a2 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 0.504 * [taylor]: Taking taylor expansion of a1 in a2 0.504 * [backup-simplify]: Simplify a1 into a1 0.504 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.504 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2) 0.504 * [backup-simplify]: Simplify (/ (sqrt 2) (pow a1 2)) into (/ (sqrt 2) (pow a1 2)) 0.504 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (pow a2 2) (pow a1 2))) in a1 0.504 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.504 * [taylor]: Taking taylor expansion of 2 in a1 0.504 * [backup-simplify]: Simplify 2 into 2 0.505 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.506 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 0.506 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.506 * [taylor]: Taking taylor expansion of a2 in a1 0.506 * [backup-simplify]: Simplify a2 into a2 0.506 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.506 * [taylor]: Taking taylor expansion of a1 in a1 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.506 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 0.506 * [backup-simplify]: Simplify (/ (sqrt 2) (pow a2 2)) into (/ (sqrt 2) (pow a2 2)) 0.507 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (pow a2 2) (pow a1 2))) in a1 0.507 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.507 * [taylor]: Taking taylor expansion of 2 in a1 0.507 * [backup-simplify]: Simplify 2 into 2 0.507 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.508 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 0.508 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.508 * [taylor]: Taking taylor expansion of a2 in a1 0.508 * [backup-simplify]: Simplify a2 into a2 0.508 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.508 * [taylor]: Taking taylor expansion of a1 in a1 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.508 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 0.508 * [backup-simplify]: Simplify (/ (sqrt 2) (pow a2 2)) into (/ (sqrt 2) (pow a2 2)) 0.509 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow a2 2)) in a2 0.509 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.509 * [taylor]: Taking taylor expansion of 2 in a2 0.509 * [backup-simplify]: Simplify 2 into 2 0.509 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.510 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.510 * [taylor]: Taking taylor expansion of a2 in a2 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 0.512 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (- (/ 0 (pow a2 2)) (+ (* (/ (sqrt 2) (pow a2 2)) (/ 0 (pow a2 2))))) into 0 0.517 * [taylor]: Taking taylor expansion of 0 in a2 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.528 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 0.529 * [backup-simplify]: Simplify (* 1 1) into 1 0.530 * [backup-simplify]: Simplify (+ 0 1) into 1 0.530 * [backup-simplify]: Simplify (- (/ 0 (pow a2 2)) (+ (* (/ (sqrt 2) (pow a2 2)) (/ 1 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into (- (/ (sqrt 2) (pow a2 4))) 0.530 * [taylor]: Taking taylor expansion of (- (/ (sqrt 2) (pow a2 4))) in a2 0.530 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow a2 4)) in a2 0.530 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.530 * [taylor]: Taking taylor expansion of 2 in a2 0.531 * [backup-simplify]: Simplify 2 into 2 0.531 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.532 * [taylor]: Taking taylor expansion of (pow a2 4) in a2 0.532 * [taylor]: Taking taylor expansion of a2 in a2 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (* 1 1) into 1 0.532 * [backup-simplify]: Simplify (* 1 1) into 1 0.533 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 0.534 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.537 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) into (/ (sqrt 2) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 0.554 * [approximate]: Taking taylor expansion of (/ (sqrt 2) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0 0.554 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 0.554 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.554 * [taylor]: Taking taylor expansion of 2 in a2 0.554 * [backup-simplify]: Simplify 2 into 2 0.555 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 0.555 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.555 * [taylor]: Taking taylor expansion of a2 in a2 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 0.556 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 0.556 * [taylor]: Taking taylor expansion of a1 in a2 0.556 * [backup-simplify]: Simplify a1 into a1 0.556 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.556 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 0.557 * [backup-simplify]: Simplify (+ 1 0) into 1 0.558 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 0.558 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 0.558 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.558 * [taylor]: Taking taylor expansion of 2 in a1 0.558 * [backup-simplify]: Simplify 2 into 2 0.558 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 0.559 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.559 * [taylor]: Taking taylor expansion of a2 in a1 0.559 * [backup-simplify]: Simplify a2 into a2 0.559 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.559 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 0.559 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.559 * [taylor]: Taking taylor expansion of a1 in a1 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (* 1 1) into 1 0.560 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [backup-simplify]: Simplify (+ 0 1) into 1 0.562 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 0.562 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 0.562 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.562 * [taylor]: Taking taylor expansion of 2 in a1 0.562 * [backup-simplify]: Simplify 2 into 2 0.562 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 0.563 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.563 * [taylor]: Taking taylor expansion of a2 in a1 0.563 * [backup-simplify]: Simplify a2 into a2 0.563 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.563 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 0.563 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.563 * [taylor]: Taking taylor expansion of a1 in a1 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (/ 1 1) into 1 0.564 * [backup-simplify]: Simplify (+ 0 1) into 1 0.565 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 0.565 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.566 * [taylor]: Taking taylor expansion of 2 in a2 0.566 * [backup-simplify]: Simplify 2 into 2 0.566 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.568 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 0.571 * [taylor]: Taking taylor expansion of 0 in a2 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 0.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ (/ 1 (pow a2 2)) 1)) (* 0 (/ 0 1)))) into (- (/ (sqrt 2) (pow a2 2))) 0.577 * [taylor]: Taking taylor expansion of (- (/ (sqrt 2) (pow a2 2))) in a2 0.577 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow a2 2)) in a2 0.577 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.577 * [taylor]: Taking taylor expansion of 2 in a2 0.577 * [backup-simplify]: Simplify 2 into 2 0.577 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.578 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.578 * [taylor]: Taking taylor expansion of a2 in a2 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (* 1 1) into 1 0.579 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 0.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.583 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (- 0) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) into (/ (sqrt 2) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 0.594 * [approximate]: Taking taylor expansion of (/ (sqrt 2) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0 0.594 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 0.594 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.594 * [taylor]: Taking taylor expansion of 2 in a2 0.594 * [backup-simplify]: Simplify 2 into 2 0.594 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 0.595 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.595 * [taylor]: Taking taylor expansion of a2 in a2 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (* 1 1) into 1 0.596 * [backup-simplify]: Simplify (/ 1 1) into 1 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 0.596 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 0.596 * [taylor]: Taking taylor expansion of a1 in a2 0.596 * [backup-simplify]: Simplify a1 into a1 0.596 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.596 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 0.597 * [backup-simplify]: Simplify (+ 1 0) into 1 0.597 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 0.598 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 0.598 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.598 * [taylor]: Taking taylor expansion of 2 in a1 0.598 * [backup-simplify]: Simplify 2 into 2 0.598 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 0.599 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.599 * [taylor]: Taking taylor expansion of a2 in a1 0.599 * [backup-simplify]: Simplify a2 into a2 0.599 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.599 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 0.599 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.599 * [taylor]: Taking taylor expansion of a1 in a1 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [backup-simplify]: Simplify (* 1 1) into 1 0.600 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [backup-simplify]: Simplify (+ 0 1) into 1 0.601 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 0.601 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 0.601 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.601 * [taylor]: Taking taylor expansion of 2 in a1 0.601 * [backup-simplify]: Simplify 2 into 2 0.602 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 0.602 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.602 * [taylor]: Taking taylor expansion of a2 in a1 0.602 * [backup-simplify]: Simplify a2 into a2 0.602 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.603 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 0.603 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.603 * [taylor]: Taking taylor expansion of a1 in a1 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (* 1 1) into 1 0.603 * [backup-simplify]: Simplify (/ 1 1) into 1 0.604 * [backup-simplify]: Simplify (+ 0 1) into 1 0.605 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 0.605 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.605 * [taylor]: Taking taylor expansion of 2 in a2 0.605 * [backup-simplify]: Simplify 2 into 2 0.605 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.607 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 0.610 * [taylor]: Taking taylor expansion of 0 in a2 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 0.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ (/ 1 (pow a2 2)) 1)) (* 0 (/ 0 1)))) into (- (/ (sqrt 2) (pow a2 2))) 0.616 * [taylor]: Taking taylor expansion of (- (/ (sqrt 2) (pow a2 2))) in a2 0.616 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow a2 2)) in a2 0.616 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.616 * [taylor]: Taking taylor expansion of 2 in a2 0.616 * [backup-simplify]: Simplify 2 into 2 0.616 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.617 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.617 * [taylor]: Taking taylor expansion of a2 in a2 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (* 1 1) into 1 0.618 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 0.619 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.622 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (- 0) into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.632 * [backup-simplify]: Simplify (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) 0.632 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in (th a1 a2) around 0 0.632 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in a2 0.632 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2 0.632 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 0.632 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.633 * [taylor]: Taking taylor expansion of a2 in a2 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 0.633 * [taylor]: Taking taylor expansion of a1 in a2 0.633 * [backup-simplify]: Simplify a1 into a1 0.633 * [taylor]: Taking taylor expansion of (cos th) in a2 0.633 * [taylor]: Taking taylor expansion of th in a2 0.633 * [backup-simplify]: Simplify th into th 0.633 * [backup-simplify]: Simplify (cos th) into (cos th) 0.633 * [backup-simplify]: Simplify (sin th) into (sin th) 0.633 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.633 * [taylor]: Taking taylor expansion of 2 in a2 0.633 * [backup-simplify]: Simplify 2 into 2 0.633 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.634 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.634 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2) 0.634 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 0.634 * [backup-simplify]: Simplify (* (sin th) 0) into 0 0.635 * [backup-simplify]: Simplify (- 0) into 0 0.635 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 0.635 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th)) 0.635 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 0.635 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in a1 0.635 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1 0.635 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 0.635 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.635 * [taylor]: Taking taylor expansion of a2 in a1 0.635 * [backup-simplify]: Simplify a2 into a2 0.635 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.635 * [taylor]: Taking taylor expansion of a1 in a1 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [taylor]: Taking taylor expansion of (cos th) in a1 0.635 * [taylor]: Taking taylor expansion of th in a1 0.636 * [backup-simplify]: Simplify th into th 0.636 * [backup-simplify]: Simplify (cos th) into (cos th) 0.636 * [backup-simplify]: Simplify (sin th) into (sin th) 0.636 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.636 * [taylor]: Taking taylor expansion of 2 in a1 0.636 * [backup-simplify]: Simplify 2 into 2 0.636 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.637 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.637 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 0.637 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 0.637 * [backup-simplify]: Simplify (* (sin th) 0) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 0.638 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2)) 0.638 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 0.638 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in th 0.638 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th 0.638 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 0.638 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.638 * [taylor]: Taking taylor expansion of a2 in th 0.638 * [backup-simplify]: Simplify a2 into a2 0.638 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.638 * [taylor]: Taking taylor expansion of a1 in th 0.638 * [backup-simplify]: Simplify a1 into a1 0.638 * [taylor]: Taking taylor expansion of (cos th) in th 0.638 * [taylor]: Taking taylor expansion of th in th 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.638 * [taylor]: Taking taylor expansion of 2 in th 0.638 * [backup-simplify]: Simplify 2 into 2 0.639 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.639 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.640 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.640 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2)) 0.640 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2)) 0.640 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) 0.640 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in th 0.640 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th 0.640 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 0.640 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.640 * [taylor]: Taking taylor expansion of a2 in th 0.640 * [backup-simplify]: Simplify a2 into a2 0.641 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.641 * [taylor]: Taking taylor expansion of a1 in th 0.641 * [backup-simplify]: Simplify a1 into a1 0.641 * [taylor]: Taking taylor expansion of (cos th) in th 0.641 * [taylor]: Taking taylor expansion of th in th 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 1 into 1 0.641 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.641 * [taylor]: Taking taylor expansion of 2 in th 0.641 * [backup-simplify]: Simplify 2 into 2 0.641 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.642 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.642 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.642 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2)) 0.642 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2)) 0.643 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) 0.643 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) in a1 0.643 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 0.643 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.643 * [taylor]: Taking taylor expansion of a2 in a1 0.643 * [backup-simplify]: Simplify a2 into a2 0.643 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.643 * [taylor]: Taking taylor expansion of a1 in a1 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.643 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.643 * [taylor]: Taking taylor expansion of 2 in a1 0.643 * [backup-simplify]: Simplify 2 into 2 0.643 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.644 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.644 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 0.645 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) 0.645 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 0.645 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.645 * [taylor]: Taking taylor expansion of a2 in a2 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.645 * [taylor]: Taking taylor expansion of 2 in a2 0.645 * [backup-simplify]: Simplify 2 into 2 0.645 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.646 * [backup-simplify]: Simplify (* 1 1) into 1 0.647 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.647 * [backup-simplify]: Simplify (+ 0) into 0 0.648 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 0.648 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 0.648 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) 0) (* 0 1)) into 0 0.650 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.650 * [taylor]: Taking taylor expansion of 0 in a1 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [taylor]: Taking taylor expansion of 0 in a2 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 0.651 * [backup-simplify]: Simplify (+ 0 0) into 0 0.652 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.653 * [taylor]: Taking taylor expansion of 0 in a2 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.654 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 0.655 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.656 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/2 (pow a2 2)) (* 1/2 (pow a1 2)))) 0.657 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.659 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (pow a2 2)) (* 1/2 (pow a1 2)))) (sqrt 2)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) 0.659 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) in a1 0.660 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1 0.660 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a1 0.660 * [taylor]: Taking taylor expansion of 1/2 in a1 0.660 * [backup-simplify]: Simplify 1/2 into 1/2 0.660 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a1 0.660 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.660 * [taylor]: Taking taylor expansion of a2 in a1 0.660 * [backup-simplify]: Simplify a2 into a2 0.660 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.660 * [taylor]: Taking taylor expansion of 2 in a1 0.660 * [backup-simplify]: Simplify 2 into 2 0.660 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.661 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.661 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) 0.661 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1 0.661 * [taylor]: Taking taylor expansion of 1/2 in a1 0.661 * [backup-simplify]: Simplify 1/2 into 1/2 0.661 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 0.661 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.661 * [taylor]: Taking taylor expansion of a1 in a1 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.662 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.662 * [taylor]: Taking taylor expansion of 2 in a1 0.662 * [backup-simplify]: Simplify 2 into 2 0.662 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.663 * [backup-simplify]: Simplify (* 1 1) into 1 0.663 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.663 * [backup-simplify]: Simplify (* 1/2 (/ (pow a2 2) (sqrt 2))) into (* 1/2 (/ (pow a2 2) (sqrt 2))) 0.664 * [backup-simplify]: Simplify (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) 0) into (* 1/2 (/ (pow a2 2) (sqrt 2))) 0.664 * [backup-simplify]: Simplify (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) 0.664 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2 0.664 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2 0.664 * [taylor]: Taking taylor expansion of 1/2 in a2 0.664 * [backup-simplify]: Simplify 1/2 into 1/2 0.664 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 0.664 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.664 * [taylor]: Taking taylor expansion of a2 in a2 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.664 * [taylor]: Taking taylor expansion of 2 in a2 0.664 * [backup-simplify]: Simplify 2 into 2 0.664 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.665 * [backup-simplify]: Simplify (* 1 1) into 1 0.666 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.666 * [taylor]: Taking taylor expansion of 0 in a2 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 0.666 * [backup-simplify]: Simplify (* 1 1) into 1 0.666 * [backup-simplify]: Simplify (+ 0 1) into 1 0.667 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.673 * [backup-simplify]: Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2)) 0.673 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2)) in a2 0.673 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.673 * [taylor]: Taking taylor expansion of 2 in a2 0.673 * [backup-simplify]: Simplify 2 into 2 0.674 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.675 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.675 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.677 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.677 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 0.678 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 0.678 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.681 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) (/ 0 (sqrt 2))))) into 0 0.682 * [taylor]: Taking taylor expansion of 0 in a1 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [taylor]: Taking taylor expansion of 0 in a2 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 0.683 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (pow a2 2) (sqrt 2)))) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [taylor]: Taking taylor expansion of 0 in a2 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [taylor]: Taking taylor expansion of 0 in a2 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.685 * [backup-simplify]: Simplify (+ 0 0) into 0 0.686 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.687 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.687 * [taylor]: Taking taylor expansion of 0 in a2 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2)) (pow (* a2 (* 1 1)) 2)) (* (/ 1 (sqrt 2)) (pow (* 1 (* a1 1)) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))) 0.690 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (/ (sqrt 2) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 0.690 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in (th a1 a2) around 0 0.690 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a2 0.690 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 0.690 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.690 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.690 * [taylor]: Taking taylor expansion of th in a2 0.690 * [backup-simplify]: Simplify th into th 0.690 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 0.690 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.690 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 0.690 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.691 * [taylor]: Taking taylor expansion of a2 in a2 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (* 1 1) into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 0.691 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 0.691 * [taylor]: Taking taylor expansion of a1 in a2 0.691 * [backup-simplify]: Simplify a1 into a1 0.691 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.692 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 0.692 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.692 * [taylor]: Taking taylor expansion of 2 in a2 0.692 * [backup-simplify]: Simplify 2 into 2 0.692 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.693 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 0.693 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 0.693 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 0.694 * [backup-simplify]: Simplify (+ 1 0) into 1 0.694 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 0.694 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.694 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1 0.694 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 0.694 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.694 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.694 * [taylor]: Taking taylor expansion of th in a1 0.694 * [backup-simplify]: Simplify th into th 0.695 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 0.695 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.695 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 0.695 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.695 * [taylor]: Taking taylor expansion of a2 in a1 0.695 * [backup-simplify]: Simplify a2 into a2 0.695 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.695 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 0.695 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.695 * [taylor]: Taking taylor expansion of a1 in a1 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [backup-simplify]: Simplify (* 1 1) into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.696 * [taylor]: Taking taylor expansion of 2 in a1 0.696 * [backup-simplify]: Simplify 2 into 2 0.696 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.697 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 0.697 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 0.697 * [backup-simplify]: Simplify (- 0) into 0 0.698 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 0.698 * [backup-simplify]: Simplify (+ 0 1) into 1 0.698 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 0.699 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.699 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in th 0.699 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 0.699 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.699 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.699 * [taylor]: Taking taylor expansion of th in th 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (/ 1 1) into 1 0.699 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 0.699 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.699 * [taylor]: Taking taylor expansion of a2 in th 0.699 * [backup-simplify]: Simplify a2 into a2 0.699 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.700 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 0.700 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.700 * [taylor]: Taking taylor expansion of a1 in th 0.700 * [backup-simplify]: Simplify a1 into a1 0.700 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.700 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 0.700 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.700 * [taylor]: Taking taylor expansion of 2 in th 0.700 * [backup-simplify]: Simplify 2 into 2 0.700 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.701 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 0.702 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 0.702 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 0.702 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in th 0.702 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 0.702 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.702 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.702 * [taylor]: Taking taylor expansion of th in th 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.703 * [backup-simplify]: Simplify (/ 1 1) into 1 0.703 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 0.703 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.703 * [taylor]: Taking taylor expansion of a2 in th 0.703 * [backup-simplify]: Simplify a2 into a2 0.703 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.703 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 0.703 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.703 * [taylor]: Taking taylor expansion of a1 in th 0.703 * [backup-simplify]: Simplify a1 into a1 0.703 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.703 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 0.703 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.703 * [taylor]: Taking taylor expansion of 2 in th 0.703 * [backup-simplify]: Simplify 2 into 2 0.704 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.705 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 0.705 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 0.706 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 0.706 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1 0.706 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 0.706 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.706 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.706 * [taylor]: Taking taylor expansion of th in a1 0.706 * [backup-simplify]: Simplify th into th 0.706 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 0.706 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.706 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 0.706 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.706 * [taylor]: Taking taylor expansion of a2 in a1 0.706 * [backup-simplify]: Simplify a2 into a2 0.706 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.706 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 0.706 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.706 * [taylor]: Taking taylor expansion of a1 in a1 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (* 1 1) into 1 0.707 * [backup-simplify]: Simplify (/ 1 1) into 1 0.707 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.707 * [taylor]: Taking taylor expansion of 2 in a1 0.707 * [backup-simplify]: Simplify 2 into 2 0.708 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.708 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 0.709 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 0.709 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 0.709 * [backup-simplify]: Simplify (+ 0 1) into 1 0.710 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 0.710 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.710 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2 0.710 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.710 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.710 * [taylor]: Taking taylor expansion of th in a2 0.710 * [backup-simplify]: Simplify th into th 0.710 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 0.710 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.710 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 0.710 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.710 * [taylor]: Taking taylor expansion of 2 in a2 0.710 * [backup-simplify]: Simplify 2 into 2 0.711 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.711 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 0.712 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 0.712 * [backup-simplify]: Simplify (- 0) into 0 0.712 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 0.713 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.713 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 0.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 0.713 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 0.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 0.714 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0 0.716 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.716 * [taylor]: Taking taylor expansion of 0 in a1 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [backup-simplify]: Simplify (+ 0) into 0 0.719 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 0.719 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.720 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 0.720 * [backup-simplify]: Simplify (- 0) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 0.723 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.723 * [taylor]: Taking taylor expansion of 0 in a2 0.723 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 0.724 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.726 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 0.727 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.729 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.729 * [taylor]: Taking taylor expansion of 0 in a1 0.729 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 0.732 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.733 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 0.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.734 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.734 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 0.735 * [backup-simplify]: Simplify (- 0) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2)) 0.737 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.739 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 0.739 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2 0.740 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.740 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.740 * [taylor]: Taking taylor expansion of th in a2 0.740 * [backup-simplify]: Simplify th into th 0.740 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 0.740 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.740 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 0.740 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 0.740 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.740 * [taylor]: Taking taylor expansion of 2 in a2 0.740 * [backup-simplify]: Simplify 2 into 2 0.740 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.741 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.741 * [taylor]: Taking taylor expansion of a2 in a2 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 0.741 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.742 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 0.742 * [backup-simplify]: Simplify (* 1 1) into 1 0.743 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 0.743 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.744 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.744 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.745 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 0.746 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 0.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.748 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0 0.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.752 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.752 * [taylor]: Taking taylor expansion of 0 in a1 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [taylor]: Taking taylor expansion of 0 in a2 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 0.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 0.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.758 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.759 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.759 * [backup-simplify]: Simplify (- 0) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.765 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0 0.765 * [taylor]: Taking taylor expansion of 0 in a2 0.765 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (+ 0) into 0 0.766 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 0.767 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 0.768 * [backup-simplify]: Simplify (- 0) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.770 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 0.771 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (+ 0) into 0 0.772 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 0.774 * [backup-simplify]: Simplify (- 0) into 0 0.775 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 0.779 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0 0.782 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.786 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.786 * [taylor]: Taking taylor expansion of 0 in a1 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [taylor]: Taking taylor expansion of 0 in a2 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [taylor]: Taking taylor expansion of 0 in a2 0.786 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 0.793 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.795 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.796 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.796 * [backup-simplify]: Simplify (- 0) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.798 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0 0.799 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.803 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.803 * [taylor]: Taking taylor expansion of 0 in a2 0.803 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.811 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.812 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.812 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 0.813 * [backup-simplify]: Simplify (- 0) into 0 0.813 * [backup-simplify]: Simplify (+ 0 0) into 0 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.815 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.816 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.818 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.820 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 0.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.822 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.822 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 0.823 * [backup-simplify]: Simplify (- 0) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.826 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) 0.829 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (/ (sqrt 2) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 0.829 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in (th a1 a2) around 0 0.829 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a2 0.829 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 0.829 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.829 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.829 * [taylor]: Taking taylor expansion of -1 in a2 0.829 * [backup-simplify]: Simplify -1 into -1 0.829 * [taylor]: Taking taylor expansion of th in a2 0.829 * [backup-simplify]: Simplify th into th 0.829 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 0.829 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.829 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 0.829 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.829 * [taylor]: Taking taylor expansion of a2 in a2 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (* 1 1) into 1 0.830 * [backup-simplify]: Simplify (/ 1 1) into 1 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 0.830 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 0.830 * [taylor]: Taking taylor expansion of a1 in a2 0.830 * [backup-simplify]: Simplify a1 into a1 0.830 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.830 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 0.830 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.830 * [taylor]: Taking taylor expansion of 2 in a2 0.830 * [backup-simplify]: Simplify 2 into 2 0.831 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.831 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 0.832 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 0.832 * [backup-simplify]: Simplify (- 0) into 0 0.832 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 0.832 * [backup-simplify]: Simplify (+ 1 0) into 1 0.833 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 0.833 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.833 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1 0.833 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 0.833 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 0.833 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 0.833 * [taylor]: Taking taylor expansion of -1 in a1 0.833 * [backup-simplify]: Simplify -1 into -1 0.833 * [taylor]: Taking taylor expansion of th in a1 0.833 * [backup-simplify]: Simplify th into th 0.833 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 0.833 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.833 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 0.834 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.834 * [taylor]: Taking taylor expansion of a2 in a1 0.834 * [backup-simplify]: Simplify a2 into a2 0.834 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.834 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 0.834 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.834 * [taylor]: Taking taylor expansion of a1 in a1 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (* 1 1) into 1 0.835 * [backup-simplify]: Simplify (/ 1 1) into 1 0.835 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.835 * [taylor]: Taking taylor expansion of 2 in a1 0.835 * [backup-simplify]: Simplify 2 into 2 0.835 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.836 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 0.836 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 0.837 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 0.837 * [backup-simplify]: Simplify (+ 0 1) into 1 0.837 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 0.838 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.838 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in th 0.838 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 0.838 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.838 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.838 * [taylor]: Taking taylor expansion of -1 in th 0.838 * [backup-simplify]: Simplify -1 into -1 0.838 * [taylor]: Taking taylor expansion of th in th 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify (/ -1 1) into -1 0.839 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 0.839 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.839 * [taylor]: Taking taylor expansion of a2 in th 0.839 * [backup-simplify]: Simplify a2 into a2 0.839 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.839 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 0.839 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.839 * [taylor]: Taking taylor expansion of a1 in th 0.839 * [backup-simplify]: Simplify a1 into a1 0.839 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.839 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 0.839 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.839 * [taylor]: Taking taylor expansion of 2 in th 0.839 * [backup-simplify]: Simplify 2 into 2 0.840 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.840 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 0.841 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 0.841 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 0.841 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in th 0.842 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 0.842 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.842 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.842 * [taylor]: Taking taylor expansion of -1 in th 0.842 * [backup-simplify]: Simplify -1 into -1 0.842 * [taylor]: Taking taylor expansion of th in th 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (/ -1 1) into -1 0.842 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 0.842 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.842 * [taylor]: Taking taylor expansion of a2 in th 0.842 * [backup-simplify]: Simplify a2 into a2 0.842 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.843 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 0.843 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.843 * [taylor]: Taking taylor expansion of a1 in th 0.843 * [backup-simplify]: Simplify a1 into a1 0.843 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.843 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 0.843 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.843 * [taylor]: Taking taylor expansion of 2 in th 0.843 * [backup-simplify]: Simplify 2 into 2 0.843 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.844 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 0.844 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 0.845 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 0.845 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1 0.845 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 0.845 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 0.845 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 0.845 * [taylor]: Taking taylor expansion of -1 in a1 0.845 * [backup-simplify]: Simplify -1 into -1 0.845 * [taylor]: Taking taylor expansion of th in a1 0.846 * [backup-simplify]: Simplify th into th 0.846 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 0.846 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.846 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 0.846 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.846 * [taylor]: Taking taylor expansion of a2 in a1 0.846 * [backup-simplify]: Simplify a2 into a2 0.846 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.846 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 0.846 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.846 * [taylor]: Taking taylor expansion of a1 in a1 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (* 1 1) into 1 0.847 * [backup-simplify]: Simplify (/ 1 1) into 1 0.847 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.847 * [taylor]: Taking taylor expansion of 2 in a1 0.847 * [backup-simplify]: Simplify 2 into 2 0.848 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.848 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 0.848 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 0.849 * [backup-simplify]: Simplify (- 0) into 0 0.849 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 0.849 * [backup-simplify]: Simplify (+ 0 1) into 1 0.849 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 0.850 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.850 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in a2 0.850 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.850 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.850 * [taylor]: Taking taylor expansion of -1 in a2 0.850 * [backup-simplify]: Simplify -1 into -1 0.850 * [taylor]: Taking taylor expansion of th in a2 0.850 * [backup-simplify]: Simplify th into th 0.850 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 0.850 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.850 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 0.850 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.850 * [taylor]: Taking taylor expansion of 2 in a2 0.850 * [backup-simplify]: Simplify 2 into 2 0.851 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.851 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 0.851 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 0.852 * [backup-simplify]: Simplify (- 0) into 0 0.852 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 0.852 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.853 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 0.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 0.853 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 0.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 0.853 * [backup-simplify]: Simplify (+ 0 0) into 0 0.854 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0 0.855 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.855 * [taylor]: Taking taylor expansion of 0 in a1 0.855 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.858 * [backup-simplify]: Simplify (+ 0) into 0 0.858 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 0.858 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 0.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.859 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 0.860 * [backup-simplify]: Simplify (- 0) into 0 0.860 * [backup-simplify]: Simplify (+ 0 0) into 0 0.861 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 0.862 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.862 * [taylor]: Taking taylor expansion of 0 in a2 0.862 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 0.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 0.863 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 0.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 0.866 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.868 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.868 * [taylor]: Taking taylor expansion of 0 in a1 0.868 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 0.871 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 0.872 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.873 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 0.874 * [backup-simplify]: Simplify (- 0) into 0 0.874 * [backup-simplify]: Simplify (+ 0 0) into 0 0.875 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2)) 0.876 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.878 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 0.878 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2 0.878 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.878 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.878 * [taylor]: Taking taylor expansion of -1 in a2 0.878 * [backup-simplify]: Simplify -1 into -1 0.878 * [taylor]: Taking taylor expansion of th in a2 0.878 * [backup-simplify]: Simplify th into th 0.878 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 0.878 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.878 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 0.878 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 0.878 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.878 * [taylor]: Taking taylor expansion of 2 in a2 0.878 * [backup-simplify]: Simplify 2 into 2 0.879 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.879 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.880 * [taylor]: Taking taylor expansion of a2 in a2 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 0.880 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 0.880 * [backup-simplify]: Simplify (- 0) into 0 0.880 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 0.881 * [backup-simplify]: Simplify (* 1 1) into 1 0.881 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 0.882 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.882 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.883 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.884 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 0.885 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 0.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 0.885 * [backup-simplify]: Simplify (+ 0 0) into 0 0.886 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0 0.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.890 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.890 * [taylor]: Taking taylor expansion of 0 in a1 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [taylor]: Taking taylor expansion of 0 in a2 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 0.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ 0 0) into 0 0.894 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.895 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.898 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.898 * [backup-simplify]: Simplify (- 0) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.904 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0 0.904 * [taylor]: Taking taylor expansion of 0 in a2 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify (+ 0) into 0 0.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 0.905 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 0.906 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.906 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 0.906 * [backup-simplify]: Simplify (- 0) into 0 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.908 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 0.910 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify (+ 0) into 0 0.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 0.911 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 0.913 * [backup-simplify]: Simplify (- 0) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 0.917 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0 0.921 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.924 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.924 * [taylor]: Taking taylor expansion of 0 in a1 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [taylor]: Taking taylor expansion of 0 in a2 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [taylor]: Taking taylor expansion of 0 in a2 0.924 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 0.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 0.931 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.931 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.932 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.933 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.934 * [backup-simplify]: Simplify (- 0) into 0 0.934 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0 0.936 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.940 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.940 * [taylor]: Taking taylor expansion of 0 in a2 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.942 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 0.942 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.943 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.944 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 0.944 * [backup-simplify]: Simplify (- 0) into 0 0.944 * [backup-simplify]: Simplify (+ 0 0) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.946 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.947 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.950 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.951 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 0.952 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.957 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.958 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 0.959 * [backup-simplify]: Simplify (- 0) into 0 0.959 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.962 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.962 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) 0.964 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.964 * [backup-simplify]: Simplify (+ (* a1 a1) (* a2 a2)) into (+ (pow a2 2) (pow a1 2)) 0.964 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0 0.964 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 0.964 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.964 * [taylor]: Taking taylor expansion of a2 in a2 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 0.964 * [taylor]: Taking taylor expansion of a1 in a2 0.965 * [backup-simplify]: Simplify a1 into a1 0.965 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 0.965 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.965 * [taylor]: Taking taylor expansion of a2 in a1 0.965 * [backup-simplify]: Simplify a2 into a2 0.965 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.965 * [taylor]: Taking taylor expansion of a1 in a1 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 0.965 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.965 * [taylor]: Taking taylor expansion of a2 in a1 0.965 * [backup-simplify]: Simplify a2 into a2 0.965 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.965 * [taylor]: Taking taylor expansion of a1 in a1 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.965 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 0.965 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.965 * [taylor]: Taking taylor expansion of a2 in a2 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [taylor]: Taking taylor expansion of 0 in a2 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 0.967 * [backup-simplify]: Simplify (* 1 1) into 1 0.967 * [backup-simplify]: Simplify (+ 0 1) into 1 0.967 * [taylor]: Taking taylor expansion of 1 in a2 0.967 * [backup-simplify]: Simplify 1 into 1 0.967 * [backup-simplify]: Simplify 1 into 1 0.967 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify (* 1 1) into 1 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.969 * [backup-simplify]: Simplify (+ 0 0) into 0 0.969 * [taylor]: Taking taylor expansion of 0 in a2 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 0.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [taylor]: Taking taylor expansion of 0 in a2 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2)) 0.973 * [backup-simplify]: Simplify (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 0.973 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 0.973 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.973 * [taylor]: Taking taylor expansion of a2 in a2 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.974 * [backup-simplify]: Simplify (* 1 1) into 1 0.974 * [backup-simplify]: Simplify (/ 1 1) into 1 0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 0.974 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 0.974 * [taylor]: Taking taylor expansion of a1 in a2 0.974 * [backup-simplify]: Simplify a1 into a1 0.974 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.975 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 0.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 0.975 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.975 * [taylor]: Taking taylor expansion of a2 in a1 0.975 * [backup-simplify]: Simplify a2 into a2 0.975 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.975 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 0.975 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.975 * [taylor]: Taking taylor expansion of a1 in a1 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify (* 1 1) into 1 0.976 * [backup-simplify]: Simplify (/ 1 1) into 1 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 0.976 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.976 * [taylor]: Taking taylor expansion of a2 in a1 0.976 * [backup-simplify]: Simplify a2 into a2 0.976 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.976 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 0.976 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.976 * [taylor]: Taking taylor expansion of a1 in a1 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 1 into 1 0.976 * [backup-simplify]: Simplify (* 1 1) into 1 0.977 * [backup-simplify]: Simplify (/ 1 1) into 1 0.977 * [backup-simplify]: Simplify (+ 0 1) into 1 0.977 * [taylor]: Taking taylor expansion of 1 in a2 0.977 * [backup-simplify]: Simplify 1 into 1 0.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [taylor]: Taking taylor expansion of 0 in a2 0.979 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.981 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 0.981 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.981 * [taylor]: Taking taylor expansion of a2 in a2 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (* 1 1) into 1 0.982 * [backup-simplify]: Simplify (/ 1 1) into 1 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [taylor]: Taking taylor expansion of 0 in a2 0.985 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify (+ 0 0) into 0 0.990 * [taylor]: Taking taylor expansion of 0 in a2 0.990 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2)) 0.993 * [backup-simplify]: Simplify (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 0.993 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0 0.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 0.993 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.993 * [taylor]: Taking taylor expansion of a2 in a2 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 1 into 1 0.993 * [backup-simplify]: Simplify (* 1 1) into 1 0.994 * [backup-simplify]: Simplify (/ 1 1) into 1 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 0.994 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 0.994 * [taylor]: Taking taylor expansion of a1 in a2 0.994 * [backup-simplify]: Simplify a1 into a1 0.994 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.994 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 0.994 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.994 * [taylor]: Taking taylor expansion of a2 in a1 0.994 * [backup-simplify]: Simplify a2 into a2 0.994 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.994 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 0.994 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.994 * [taylor]: Taking taylor expansion of a1 in a1 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (* 1 1) into 1 0.995 * [backup-simplify]: Simplify (/ 1 1) into 1 0.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 0.995 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 0.995 * [taylor]: Taking taylor expansion of a2 in a1 0.995 * [backup-simplify]: Simplify a2 into a2 0.996 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.996 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 0.996 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 0.996 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.996 * [taylor]: Taking taylor expansion of a1 in a1 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (* 1 1) into 1 0.997 * [backup-simplify]: Simplify (/ 1 1) into 1 0.997 * [backup-simplify]: Simplify (+ 0 1) into 1 0.997 * [taylor]: Taking taylor expansion of 1 in a2 0.997 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 0.999 * [taylor]: Taking taylor expansion of 0 in a2 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.001 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 1.001 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.001 * [taylor]: Taking taylor expansion of a2 in a2 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (* 1 1) into 1 1.002 * [backup-simplify]: Simplify (/ 1 1) into 1 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 1.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.005 * [backup-simplify]: Simplify (+ 0 0) into 0 1.005 * [taylor]: Taking taylor expansion of 0 in a2 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 1.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (+ 0 0) into 0 1.009 * [taylor]: Taking taylor expansion of 0 in a2 1.009 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2)) 1.012 * * * [progress]: simplifying candidates 1.012 * * * * [progress]: [ 1 / 178 ] simplifiying candidate # 1.012 * * * * [progress]: [ 2 / 178 ] simplifiying candidate # 1.012 * [simplify]: Simplifying (- (log (sqrt 2)) (log (+ (* a1 a1) (* a2 a2)))) 1.012 * * [simplify]: iters left: 6 (10 enodes) 1.016 * * [simplify]: iters left: 5 (33 enodes) 1.023 * * [simplify]: iters left: 4 (36 enodes) 1.032 * * [simplify]: Extracting #0: cost 1 inf + 0 1.032 * * [simplify]: Extracting #1: cost 5 inf + 0 1.032 * * [simplify]: Extracting #2: cost 10 inf + 0 1.032 * * [simplify]: Extracting #3: cost 15 inf + 0 1.032 * * [simplify]: Extracting #4: cost 18 inf + 1 1.033 * * [simplify]: Extracting #5: cost 15 inf + 44 1.033 * * [simplify]: Extracting #6: cost 6 inf + 715 1.033 * * [simplify]: Extracting #7: cost 0 inf + 2249 1.034 * [simplify]: Simplified to (- (log (sqrt 2)) (log (+ (* a2 a2) (* a1 a1)))) 1.034 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (exp (- (log (sqrt 2)) (log (+ (* a2 a2) (* a1 a1))))))) 1.034 * * * * [progress]: [ 3 / 178 ] simplifiying candidate # 1.034 * [simplify]: Simplifying (log (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 1.034 * * [simplify]: iters left: 6 (9 enodes) 1.038 * * [simplify]: iters left: 5 (31 enodes) 1.047 * * [simplify]: iters left: 4 (37 enodes) 1.056 * * [simplify]: iters left: 3 (40 enodes) 1.067 * * [simplify]: Extracting #0: cost 1 inf + 0 1.067 * * [simplify]: Extracting #1: cost 6 inf + 0 1.067 * * [simplify]: Extracting #2: cost 12 inf + 0 1.067 * * [simplify]: Extracting #3: cost 17 inf + 0 1.067 * * [simplify]: Extracting #4: cost 20 inf + 1 1.067 * * [simplify]: Extracting #5: cost 14 inf + 237 1.068 * * [simplify]: Extracting #6: cost 2 inf + 1969 1.068 * * [simplify]: Extracting #7: cost 0 inf + 2515 1.069 * [simplify]: Simplified to (log (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 1.069 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (exp (log (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 1.069 * * * * [progress]: [ 4 / 178 ] simplifiying candidate # 1.069 * [simplify]: Simplifying (exp (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 1.069 * * [simplify]: iters left: 6 (9 enodes) 1.074 * * [simplify]: iters left: 5 (28 enodes) 1.081 * * [simplify]: Extracting #0: cost 1 inf + 0 1.081 * * [simplify]: Extracting #1: cost 3 inf + 0 1.081 * * [simplify]: Extracting #2: cost 6 inf + 0 1.081 * * [simplify]: Extracting #3: cost 11 inf + 0 1.081 * * [simplify]: Extracting #4: cost 14 inf + 1 1.081 * * [simplify]: Extracting #5: cost 7 inf + 208 1.082 * * [simplify]: Extracting #6: cost 4 inf + 574 1.082 * * [simplify]: Extracting #7: cost 1 inf + 1172 1.082 * * [simplify]: Extracting #8: cost 0 inf + 1445 1.082 * [simplify]: Simplified to (exp (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 1.082 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (log (exp (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 1.083 * * * * [progress]: [ 5 / 178 ] simplifiying candidate # 1.083 * [simplify]: Simplifying (/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) 1.083 * * [simplify]: iters left: 6 (12 enodes) 1.086 * * [simplify]: iters left: 5 (56 enodes) 1.102 * * [simplify]: iters left: 4 (185 enodes) 1.166 * * [simplify]: Extracting #0: cost 1 inf + 0 1.166 * * [simplify]: Extracting #1: cost 28 inf + 0 1.166 * * [simplify]: Extracting #2: cost 73 inf + 42 1.167 * * [simplify]: Extracting #3: cost 141 inf + 246 1.167 * * [simplify]: Extracting #4: cost 139 inf + 698 1.170 * * [simplify]: Extracting #5: cost 51 inf + 17394 1.182 * * [simplify]: Extracting #6: cost 1 inf + 27889 1.189 * * [simplify]: Extracting #7: cost 0 inf + 28211 1.196 * [simplify]: Simplified to (/ (/ 2 (+ (* a1 a1) (* a2 a2))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 1.196 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (cbrt (/ (/ 2 (+ (* a1 a1) (* a2 a2))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))))) 1.196 * * * * [progress]: [ 6 / 178 ] simplifiying candidate # 1.196 * [simplify]: Simplifying (* (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 1.196 * * [simplify]: iters left: 6 (10 enodes) 1.199 * * [simplify]: iters left: 5 (31 enodes) 1.204 * * [simplify]: Extracting #0: cost 1 inf + 0 1.204 * * [simplify]: Extracting #1: cost 3 inf + 0 1.204 * * [simplify]: Extracting #2: cost 5 inf + 0 1.204 * * [simplify]: Extracting #3: cost 8 inf + 0 1.204 * * [simplify]: Extracting #4: cost 13 inf + 0 1.204 * * [simplify]: Extracting #5: cost 16 inf + 1 1.204 * * [simplify]: Extracting #6: cost 11 inf + 126 1.204 * * [simplify]: Extracting #7: cost 5 inf + 696 1.204 * * [simplify]: Extracting #8: cost 0 inf + 2111 1.205 * [simplify]: Simplified to (* (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 1.205 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (* (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 1.205 * [simplify]: Simplifying (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 1.205 * * [simplify]: iters left: 6 (9 enodes) 1.208 * * [simplify]: iters left: 5 (28 enodes) 1.212 * * [simplify]: Extracting #0: cost 1 inf + 0 1.212 * * [simplify]: Extracting #1: cost 3 inf + 0 1.212 * * [simplify]: Extracting #2: cost 6 inf + 0 1.212 * * [simplify]: Extracting #3: cost 11 inf + 0 1.212 * * [simplify]: Extracting #4: cost 14 inf + 1 1.212 * * [simplify]: Extracting #5: cost 7 inf + 208 1.213 * * [simplify]: Extracting #6: cost 4 inf + 574 1.213 * * [simplify]: Extracting #7: cost 1 inf + 1182 1.213 * * [simplify]: Extracting #8: cost 0 inf + 1465 1.213 * [simplify]: Simplified to (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 1.213 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (* (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 1.213 * * * * [progress]: [ 7 / 178 ] simplifiying candidate # 1.214 * [simplify]: Simplifying (* (* (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 1.214 * * [simplify]: iters left: 6 (10 enodes) 1.220 * * [simplify]: iters left: 5 (38 enodes) 1.233 * * [simplify]: iters left: 4 (60 enodes) 1.254 * * [simplify]: iters left: 3 (93 enodes) 1.278 * * [simplify]: iters left: 2 (185 enodes) 1.326 * * [simplify]: iters left: 1 (400 enodes) 1.453 * * [simplify]: Extracting #0: cost 1 inf + 0 1.453 * * [simplify]: Extracting #1: cost 51 inf + 0 1.454 * * [simplify]: Extracting #2: cost 163 inf + 43 1.455 * * [simplify]: Extracting #3: cost 255 inf + 501 1.457 * * [simplify]: Extracting #4: cost 197 inf + 15322 1.469 * * [simplify]: Extracting #5: cost 19 inf + 68962 1.482 * * [simplify]: Extracting #6: cost 0 inf + 75401 1.501 * [simplify]: Simplified to (* (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 1.501 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (cbrt (* (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))))) 1.501 * * * * [progress]: [ 8 / 178 ] simplifiying candidate # 1.501 * [simplify]: Simplifying (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 1.502 * * [simplify]: iters left: 6 (9 enodes) 1.506 * * [simplify]: iters left: 5 (28 enodes) 1.515 * * [simplify]: Extracting #0: cost 1 inf + 0 1.515 * * [simplify]: Extracting #1: cost 3 inf + 0 1.515 * * [simplify]: Extracting #2: cost 6 inf + 0 1.515 * * [simplify]: Extracting #3: cost 11 inf + 0 1.515 * * [simplify]: Extracting #4: cost 14 inf + 1 1.515 * * [simplify]: Extracting #5: cost 7 inf + 208 1.516 * * [simplify]: Extracting #6: cost 4 inf + 574 1.516 * * [simplify]: Extracting #7: cost 1 inf + 1142 1.517 * * [simplify]: Extracting #8: cost 0 inf + 1385 1.517 * [simplify]: Simplified to (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 1.517 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 1.518 * [simplify]: Simplifying (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 1.518 * * [simplify]: iters left: 6 (9 enodes) 1.523 * * [simplify]: iters left: 5 (28 enodes) 1.537 * * [simplify]: Extracting #0: cost 1 inf + 0 1.537 * * [simplify]: Extracting #1: cost 3 inf + 0 1.537 * * [simplify]: Extracting #2: cost 6 inf + 0 1.537 * * [simplify]: Extracting #3: cost 11 inf + 0 1.537 * * [simplify]: Extracting #4: cost 14 inf + 1 1.537 * * [simplify]: Extracting #5: cost 7 inf + 208 1.537 * * [simplify]: Extracting #6: cost 4 inf + 574 1.538 * * [simplify]: Extracting #7: cost 1 inf + 1142 1.538 * * [simplify]: Extracting #8: cost 0 inf + 1385 1.539 * [simplify]: Simplified to (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 1.539 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 1.539 * * * * [progress]: [ 9 / 178 ] simplifiying candidate # 1.539 * [simplify]: Simplifying (- (sqrt 2)) 1.539 * * [simplify]: iters left: 3 (3 enodes) 1.541 * * [simplify]: iters left: 2 (9 enodes) 1.545 * * [simplify]: Extracting #0: cost 1 inf + 0 1.545 * * [simplify]: Extracting #1: cost 3 inf + 0 1.545 * * [simplify]: Extracting #2: cost 5 inf + 0 1.545 * * [simplify]: Extracting #3: cost 4 inf + 1 1.545 * * [simplify]: Extracting #4: cost 0 inf + 245 1.545 * [simplify]: Simplified to (- (sqrt 2)) 1.545 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (/ (- (sqrt 2)) (- (+ (* a1 a1) (* a2 a2)))))) 1.546 * [simplify]: Simplifying (- (+ (* a1 a1) (* a2 a2))) 1.546 * * [simplify]: iters left: 6 (6 enodes) 1.548 * * [simplify]: iters left: 5 (22 enodes) 1.555 * * [simplify]: iters left: 4 (34 enodes) 1.565 * * [simplify]: iters left: 3 (38 enodes) 1.575 * * [simplify]: Extracting #0: cost 1 inf + 0 1.575 * * [simplify]: Extracting #1: cost 6 inf + 0 1.575 * * [simplify]: Extracting #2: cost 15 inf + 0 1.575 * * [simplify]: Extracting #3: cost 12 inf + 206 1.575 * * [simplify]: Extracting #4: cost 7 inf + 451 1.576 * * [simplify]: Extracting #5: cost 1 inf + 1060 1.576 * * [simplify]: Extracting #6: cost 0 inf + 1222 1.577 * [simplify]: Simplified to (- (+ (* a1 a1) (* a2 a2))) 1.577 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ (- (sqrt 2)) (- (+ (* a1 a1) (* a2 a2)))))) 1.577 * * * * [progress]: [ 10 / 178 ] simplifiying candidate # 1.577 * [simplify]: Simplifying (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) 1.577 * * [simplify]: iters left: 6 (12 enodes) 1.583 * * [simplify]: iters left: 5 (43 enodes) 1.597 * * [simplify]: iters left: 4 (58 enodes) 1.615 * * [simplify]: iters left: 3 (65 enodes) 1.633 * * [simplify]: iters left: 2 (68 enodes) 1.652 * * [simplify]: Extracting #0: cost 1 inf + 0 1.652 * * [simplify]: Extracting #1: cost 11 inf + 0 1.653 * * [simplify]: Extracting #2: cost 22 inf + 0 1.653 * * [simplify]: Extracting #3: cost 27 inf + 0 1.653 * * [simplify]: Extracting #4: cost 29 inf + 42 1.653 * * [simplify]: Extracting #5: cost 19 inf + 772 1.654 * * [simplify]: Extracting #6: cost 14 inf + 1622 1.655 * * [simplify]: Extracting #7: cost 3 inf + 5653 1.657 * * [simplify]: Extracting #8: cost 0 inf + 6621 1.659 * [simplify]: Simplified to (* (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 1.659 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (* (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 1.659 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))) 1.660 * * [simplify]: iters left: 6 (10 enodes) 1.665 * * [simplify]: iters left: 5 (31 enodes) 1.675 * * [simplify]: Extracting #0: cost 1 inf + 0 1.675 * * [simplify]: Extracting #1: cost 4 inf + 0 1.675 * * [simplify]: Extracting #2: cost 8 inf + 0 1.675 * * [simplify]: Extracting #3: cost 13 inf + 0 1.675 * * [simplify]: Extracting #4: cost 16 inf + 1 1.675 * * [simplify]: Extracting #5: cost 13 inf + 44 1.675 * * [simplify]: Extracting #6: cost 5 inf + 613 1.676 * * [simplify]: Extracting #7: cost 0 inf + 1865 1.676 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))) 1.676 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (* (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1))))))) 1.677 * * * * [progress]: [ 11 / 178 ] simplifiying candidate # 1.677 * [simplify]: Simplifying (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) 1.677 * * [simplify]: iters left: 6 (11 enodes) 1.683 * * [simplify]: iters left: 5 (36 enodes) 1.696 * * [simplify]: iters left: 4 (40 enodes) 1.709 * * [simplify]: iters left: 3 (43 enodes) 1.721 * * [simplify]: Extracting #0: cost 1 inf + 0 1.722 * * [simplify]: Extracting #1: cost 7 inf + 0 1.722 * * [simplify]: Extracting #2: cost 14 inf + 0 1.722 * * [simplify]: Extracting #3: cost 19 inf + 0 1.722 * * [simplify]: Extracting #4: cost 22 inf + 1 1.722 * * [simplify]: Extracting #5: cost 14 inf + 330 1.722 * * [simplify]: Extracting #6: cost 7 inf + 1381 1.723 * * [simplify]: Extracting #7: cost 0 inf + 3399 1.724 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) 1.725 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 1.725 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) 1.725 * * [simplify]: iters left: 6 (10 enodes) 1.728 * * [simplify]: iters left: 5 (31 enodes) 1.733 * * [simplify]: Extracting #0: cost 1 inf + 0 1.733 * * [simplify]: Extracting #1: cost 4 inf + 0 1.734 * * [simplify]: Extracting #2: cost 8 inf + 0 1.734 * * [simplify]: Extracting #3: cost 13 inf + 0 1.734 * * [simplify]: Extracting #4: cost 16 inf + 1 1.734 * * [simplify]: Extracting #5: cost 13 inf + 44 1.734 * * [simplify]: Extracting #6: cost 5 inf + 613 1.734 * * [simplify]: Extracting #7: cost 0 inf + 1705 1.734 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) 1.734 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 1.734 * * * * [progress]: [ 12 / 178 ] simplifiying candidate # 1.735 * [simplify]: Simplifying (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) 1.735 * * [simplify]: iters left: 6 (6 enodes) 1.737 * * [simplify]: iters left: 5 (20 enodes) 1.741 * * [simplify]: iters left: 4 (30 enodes) 1.746 * * [simplify]: iters left: 3 (31 enodes) 1.751 * * [simplify]: Extracting #0: cost 1 inf + 0 1.751 * * [simplify]: Extracting #1: cost 5 inf + 0 1.751 * * [simplify]: Extracting #2: cost 7 inf + 1 1.751 * * [simplify]: Extracting #3: cost 9 inf + 1 1.751 * * [simplify]: Extracting #4: cost 8 inf + 2 1.751 * * [simplify]: Extracting #5: cost 0 inf + 972 1.751 * [simplify]: Simplified to (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1.751 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))) 1.751 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))) 1.751 * * [simplify]: iters left: 6 (9 enodes) 1.754 * * [simplify]: iters left: 5 (28 enodes) 1.762 * * [simplify]: Extracting #0: cost 1 inf + 0 1.763 * * [simplify]: Extracting #1: cost 4 inf + 0 1.763 * * [simplify]: Extracting #2: cost 9 inf + 0 1.763 * * [simplify]: Extracting #3: cost 15 inf + 0 1.763 * * [simplify]: Extracting #4: cost 12 inf + 3 1.763 * * [simplify]: Extracting #5: cost 6 inf + 330 1.763 * * [simplify]: Extracting #6: cost 1 inf + 1018 1.764 * * [simplify]: Extracting #7: cost 0 inf + 1301 1.764 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 1.764 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))) 1.764 * * * * [progress]: [ 13 / 178 ] simplifiying candidate # 1.765 * [simplify]: Simplifying (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) 1.765 * * [simplify]: iters left: 6 (12 enodes) 1.771 * * [simplify]: iters left: 5 (40 enodes) 1.783 * * [simplify]: iters left: 4 (42 enodes) 1.790 * * [simplify]: Extracting #0: cost 1 inf + 0 1.790 * * [simplify]: Extracting #1: cost 6 inf + 0 1.790 * * [simplify]: Extracting #2: cost 13 inf + 0 1.790 * * [simplify]: Extracting #3: cost 19 inf + 0 1.790 * * [simplify]: Extracting #4: cost 22 inf + 1 1.790 * * [simplify]: Extracting #5: cost 15 inf + 368 1.790 * * [simplify]: Extracting #6: cost 7 inf + 1501 1.790 * * [simplify]: Extracting #7: cost 1 inf + 3074 1.791 * * [simplify]: Extracting #8: cost 0 inf + 3477 1.791 * [simplify]: Simplified to (/ (/ (fabs (cbrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1.791 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (/ (/ (fabs (cbrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 1.792 * [simplify]: Simplifying (/ (sqrt (cbrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))) 1.792 * * [simplify]: iters left: 6 (10 enodes) 1.794 * * [simplify]: iters left: 5 (31 enodes) 1.799 * * [simplify]: Extracting #0: cost 1 inf + 0 1.799 * * [simplify]: Extracting #1: cost 4 inf + 0 1.799 * * [simplify]: Extracting #2: cost 8 inf + 0 1.800 * * [simplify]: Extracting #3: cost 13 inf + 0 1.800 * * [simplify]: Extracting #4: cost 16 inf + 1 1.800 * * [simplify]: Extracting #5: cost 13 inf + 84 1.800 * * [simplify]: Extracting #6: cost 5 inf + 693 1.800 * * [simplify]: Extracting #7: cost 0 inf + 1945 1.800 * [simplify]: Simplified to (/ (sqrt (cbrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))) 1.800 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (/ (/ (fabs (cbrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt 2)) (cbrt (+ (* a2 a2) (* a1 a1))))))) 1.800 * * * * [progress]: [ 14 / 178 ] simplifiying candidate # 1.801 * [simplify]: Simplifying (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) 1.801 * * [simplify]: iters left: 6 (11 enodes) 1.806 * * [simplify]: iters left: 5 (35 enodes) 1.811 * * [simplify]: Extracting #0: cost 1 inf + 0 1.811 * * [simplify]: Extracting #1: cost 4 inf + 0 1.811 * * [simplify]: Extracting #2: cost 9 inf + 0 1.811 * * [simplify]: Extracting #3: cost 15 inf + 0 1.811 * * [simplify]: Extracting #4: cost 18 inf + 1 1.811 * * [simplify]: Extracting #5: cost 11 inf + 328 1.812 * * [simplify]: Extracting #6: cost 2 inf + 1381 1.812 * * [simplify]: Extracting #7: cost 0 inf + 2027 1.812 * [simplify]: Simplified to (/ (fabs (cbrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) 1.812 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (/ (fabs (cbrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 1.812 * [simplify]: Simplifying (/ (sqrt (cbrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) 1.812 * * [simplify]: iters left: 6 (10 enodes) 1.815 * * [simplify]: iters left: 5 (31 enodes) 1.820 * * [simplify]: Extracting #0: cost 1 inf + 0 1.820 * * [simplify]: Extracting #1: cost 4 inf + 0 1.820 * * [simplify]: Extracting #2: cost 8 inf + 0 1.820 * * [simplify]: Extracting #3: cost 13 inf + 0 1.820 * * [simplify]: Extracting #4: cost 16 inf + 1 1.820 * * [simplify]: Extracting #5: cost 13 inf + 84 1.821 * * [simplify]: Extracting #6: cost 5 inf + 693 1.821 * * [simplify]: Extracting #7: cost 0 inf + 1785 1.821 * [simplify]: Simplified to (/ (sqrt (cbrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) 1.821 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (/ (fabs (cbrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 1.821 * * * * [progress]: [ 15 / 178 ] simplifiying candidate # 1.821 * [simplify]: Simplifying (/ (sqrt (* (cbrt 2) (cbrt 2))) 1) 1.821 * * [simplify]: iters left: 6 (6 enodes) 1.825 * * [simplify]: iters left: 5 (19 enodes) 1.831 * * [simplify]: iters left: 4 (23 enodes) 1.838 * * [simplify]: Extracting #0: cost 1 inf + 0 1.838 * * [simplify]: Extracting #1: cost 5 inf + 0 1.839 * * [simplify]: Extracting #2: cost 7 inf + 1 1.839 * * [simplify]: Extracting #3: cost 6 inf + 2 1.839 * * [simplify]: Extracting #4: cost 0 inf + 648 1.839 * [simplify]: Simplified to (fabs (cbrt 2)) 1.839 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (fabs (cbrt 2)) (/ (sqrt (cbrt 2)) (+ (* a1 a1) (* a2 a2)))))) 1.839 * [simplify]: Simplifying (/ (sqrt (cbrt 2)) (+ (* a1 a1) (* a2 a2))) 1.839 * * [simplify]: iters left: 6 (9 enodes) 1.844 * * [simplify]: iters left: 5 (28 enodes) 1.850 * * [simplify]: Extracting #0: cost 1 inf + 0 1.850 * * [simplify]: Extracting #1: cost 4 inf + 0 1.850 * * [simplify]: Extracting #2: cost 9 inf + 0 1.850 * * [simplify]: Extracting #3: cost 15 inf + 0 1.850 * * [simplify]: Extracting #4: cost 12 inf + 3 1.850 * * [simplify]: Extracting #5: cost 6 inf + 410 1.850 * * [simplify]: Extracting #6: cost 1 inf + 1098 1.850 * * [simplify]: Extracting #7: cost 0 inf + 1381 1.850 * [simplify]: Simplified to (/ (sqrt (cbrt 2)) (+ (* a2 a2) (* a1 a1))) 1.850 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (fabs (cbrt 2)) (/ (sqrt (cbrt 2)) (+ (* a2 a2) (* a1 a1)))))) 1.851 * * * * [progress]: [ 16 / 178 ] simplifiying candidate # 1.851 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) 1.851 * * [simplify]: iters left: 6 (11 enodes) 1.855 * * [simplify]: iters left: 5 (36 enodes) 1.861 * * [simplify]: iters left: 4 (38 enodes) 1.867 * * [simplify]: Extracting #0: cost 1 inf + 0 1.867 * * [simplify]: Extracting #1: cost 6 inf + 0 1.867 * * [simplify]: Extracting #2: cost 12 inf + 0 1.867 * * [simplify]: Extracting #3: cost 17 inf + 0 1.867 * * [simplify]: Extracting #4: cost 20 inf + 1 1.867 * * [simplify]: Extracting #5: cost 16 inf + 85 1.867 * * [simplify]: Extracting #6: cost 10 inf + 492 1.867 * * [simplify]: Extracting #7: cost 4 inf + 1624 1.868 * * [simplify]: Extracting #8: cost 0 inf + 2915 1.868 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) 1.868 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 1.868 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))) 1.868 * * [simplify]: iters left: 6 (10 enodes) 1.872 * * [simplify]: iters left: 5 (31 enodes) 1.877 * * [simplify]: Extracting #0: cost 1 inf + 0 1.877 * * [simplify]: Extracting #1: cost 4 inf + 0 1.877 * * [simplify]: Extracting #2: cost 8 inf + 0 1.877 * * [simplify]: Extracting #3: cost 13 inf + 0 1.877 * * [simplify]: Extracting #4: cost 16 inf + 1 1.877 * * [simplify]: Extracting #5: cost 13 inf + 44 1.877 * * [simplify]: Extracting #6: cost 5 inf + 533 1.877 * * [simplify]: Extracting #7: cost 0 inf + 1705 1.877 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))) 1.878 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1))))))) 1.878 * * * * [progress]: [ 17 / 178 ] simplifiying candidate # 1.878 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) 1.878 * * [simplify]: iters left: 6 (10 enodes) 1.881 * * [simplify]: iters left: 5 (31 enodes) 1.886 * * [simplify]: Extracting #0: cost 1 inf + 0 1.886 * * [simplify]: Extracting #1: cost 4 inf + 0 1.886 * * [simplify]: Extracting #2: cost 8 inf + 0 1.886 * * [simplify]: Extracting #3: cost 13 inf + 0 1.886 * * [simplify]: Extracting #4: cost 16 inf + 1 1.886 * * [simplify]: Extracting #5: cost 13 inf + 44 1.886 * * [simplify]: Extracting #6: cost 5 inf + 533 1.886 * * [simplify]: Extracting #7: cost 0 inf + 1545 1.886 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) 1.886 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (/ (sqrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 1.887 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) 1.887 * * [simplify]: iters left: 6 (10 enodes) 1.889 * * [simplify]: iters left: 5 (31 enodes) 1.895 * * [simplify]: Extracting #0: cost 1 inf + 0 1.895 * * [simplify]: Extracting #1: cost 4 inf + 0 1.895 * * [simplify]: Extracting #2: cost 8 inf + 0 1.895 * * [simplify]: Extracting #3: cost 13 inf + 0 1.895 * * [simplify]: Extracting #4: cost 16 inf + 1 1.895 * * [simplify]: Extracting #5: cost 13 inf + 44 1.895 * * [simplify]: Extracting #6: cost 5 inf + 533 1.896 * * [simplify]: Extracting #7: cost 0 inf + 1545 1.896 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) 1.896 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 1.896 * * * * [progress]: [ 18 / 178 ] simplifiying candidate # 1.897 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) 1) 1.897 * * [simplify]: iters left: 4 (5 enodes) 1.900 * * [simplify]: iters left: 3 (15 enodes) 1.905 * * [simplify]: iters left: 2 (17 enodes) 1.915 * * [simplify]: iters left: 1 (19 enodes) 1.921 * * [simplify]: Extracting #0: cost 1 inf + 0 1.921 * * [simplify]: Extracting #1: cost 4 inf + 0 1.921 * * [simplify]: Extracting #2: cost 5 inf + 1 1.921 * * [simplify]: Extracting #3: cost 4 inf + 2 1.921 * * [simplify]: Extracting #4: cost 1 inf + 165 1.921 * * [simplify]: Extracting #5: cost 0 inf + 246 1.922 * [simplify]: Simplified to (sqrt (sqrt 2)) 1.922 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))) 1.922 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))) 1.922 * * [simplify]: iters left: 6 (9 enodes) 1.927 * * [simplify]: iters left: 5 (28 enodes) 1.936 * * [simplify]: Extracting #0: cost 1 inf + 0 1.936 * * [simplify]: Extracting #1: cost 4 inf + 0 1.936 * * [simplify]: Extracting #2: cost 9 inf + 0 1.936 * * [simplify]: Extracting #3: cost 15 inf + 0 1.936 * * [simplify]: Extracting #4: cost 12 inf + 3 1.936 * * [simplify]: Extracting #5: cost 6 inf + 330 1.937 * * [simplify]: Extracting #6: cost 1 inf + 898 1.937 * * [simplify]: Extracting #7: cost 0 inf + 1141 1.937 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 1.937 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))) 1.938 * * * * [progress]: [ 19 / 178 ] simplifiying candidate # 1.938 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) 1.938 * * [simplify]: iters left: 6 (10 enodes) 1.944 * * [simplify]: iters left: 5 (35 enodes) 1.953 * * [simplify]: iters left: 4 (42 enodes) 1.959 * * [simplify]: iters left: 3 (44 enodes) 1.965 * * [simplify]: Extracting #0: cost 1 inf + 0 1.965 * * [simplify]: Extracting #1: cost 7 inf + 0 1.966 * * [simplify]: Extracting #2: cost 11 inf + 1 1.966 * * [simplify]: Extracting #3: cost 14 inf + 1 1.966 * * [simplify]: Extracting #4: cost 18 inf + 1 1.966 * * [simplify]: Extracting #5: cost 14 inf + 85 1.966 * * [simplify]: Extracting #6: cost 8 inf + 815 1.966 * * [simplify]: Extracting #7: cost 2 inf + 2351 1.967 * * [simplify]: Extracting #8: cost 0 inf + 2837 1.967 * [simplify]: Simplified to (/ (/ 1 (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1.967 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (/ (/ 1 (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))))) 1.967 * [simplify]: Simplifying (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2)))) 1.967 * * [simplify]: iters left: 6 (9 enodes) 1.970 * * [simplify]: iters left: 5 (28 enodes) 1.975 * * [simplify]: Extracting #0: cost 1 inf + 0 1.975 * * [simplify]: Extracting #1: cost 4 inf + 0 1.975 * * [simplify]: Extracting #2: cost 8 inf + 0 1.975 * * [simplify]: Extracting #3: cost 10 inf + 1 1.975 * * [simplify]: Extracting #4: cost 12 inf + 83 1.975 * * [simplify]: Extracting #5: cost 7 inf + 208 1.975 * * [simplify]: Extracting #6: cost 4 inf + 573 1.975 * * [simplify]: Extracting #7: cost 1 inf + 1180 1.976 * * [simplify]: Extracting #8: cost 0 inf + 1463 1.976 * [simplify]: Simplified to (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2)))) 1.976 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (/ (/ 1 (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))))) 1.976 * * * * [progress]: [ 20 / 178 ] simplifiying candidate # 1.976 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (* a1 a1) (* a2 a2)))) 1.976 * * [simplify]: iters left: 6 (9 enodes) 1.979 * * [simplify]: iters left: 5 (30 enodes) 1.986 * * [simplify]: iters left: 4 (32 enodes) 1.995 * * [simplify]: Extracting #0: cost 1 inf + 0 1.995 * * [simplify]: Extracting #1: cost 4 inf + 0 1.995 * * [simplify]: Extracting #2: cost 5 inf + 1 1.995 * * [simplify]: Extracting #3: cost 8 inf + 1 1.995 * * [simplify]: Extracting #4: cost 12 inf + 1 1.995 * * [simplify]: Extracting #5: cost 7 inf + 126 1.995 * * [simplify]: Extracting #6: cost 4 inf + 451 1.996 * * [simplify]: Extracting #7: cost 0 inf + 1141 1.996 * [simplify]: Simplified to (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))) 1.996 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))))) 1.997 * [simplify]: Simplifying (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2)))) 1.997 * * [simplify]: iters left: 6 (9 enodes) 2.002 * * [simplify]: iters left: 5 (28 enodes) 2.011 * * [simplify]: Extracting #0: cost 1 inf + 0 2.011 * * [simplify]: Extracting #1: cost 4 inf + 0 2.011 * * [simplify]: Extracting #2: cost 8 inf + 0 2.011 * * [simplify]: Extracting #3: cost 10 inf + 1 2.011 * * [simplify]: Extracting #4: cost 12 inf + 83 2.012 * * [simplify]: Extracting #5: cost 7 inf + 208 2.012 * * [simplify]: Extracting #6: cost 4 inf + 533 2.012 * * [simplify]: Extracting #7: cost 1 inf + 1060 2.013 * * [simplify]: Extracting #8: cost 0 inf + 1303 2.013 * [simplify]: Simplified to (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2)))) 2.013 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))))) 2.013 * * * * [progress]: [ 21 / 178 ] simplifiying candidate # 2.014 * [simplify]: Simplifying (/ (sqrt 1) 1) 2.014 * * [simplify]: iters left: 3 (3 enodes) 2.017 * * [simplify]: iters left: 2 (9 enodes) 2.020 * * [simplify]: iters left: 1 (11 enodes) 2.023 * * [simplify]: Extracting #0: cost 1 inf + 0 2.023 * * [simplify]: Extracting #1: cost 0 inf + 1 2.023 * [simplify]: Simplified to 1 2.023 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* 1 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 2.023 * [simplify]: Simplifying (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) 2.023 * * [simplify]: iters left: 6 (8 enodes) 2.028 * * [simplify]: iters left: 5 (25 enodes) 2.036 * * [simplify]: Extracting #0: cost 1 inf + 0 2.036 * * [simplify]: Extracting #1: cost 4 inf + 0 2.036 * * [simplify]: Extracting #2: cost 9 inf + 0 2.036 * * [simplify]: Extracting #3: cost 12 inf + 1 2.036 * * [simplify]: Extracting #4: cost 7 inf + 126 2.037 * * [simplify]: Extracting #5: cost 1 inf + 696 2.037 * * [simplify]: Extracting #6: cost 0 inf + 899 2.037 * [simplify]: Simplified to (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) 2.037 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* 1 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 2.037 * * * * [progress]: [ 22 / 178 ] simplifiying candidate # 2.038 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) 2.038 * * [simplify]: iters left: 6 (11 enodes) 2.044 * * [simplify]: iters left: 5 (36 enodes) 2.056 * * [simplify]: iters left: 4 (38 enodes) 2.062 * * [simplify]: Extracting #0: cost 1 inf + 0 2.062 * * [simplify]: Extracting #1: cost 6 inf + 0 2.062 * * [simplify]: Extracting #2: cost 12 inf + 0 2.062 * * [simplify]: Extracting #3: cost 17 inf + 0 2.062 * * [simplify]: Extracting #4: cost 20 inf + 1 2.062 * * [simplify]: Extracting #5: cost 16 inf + 85 2.063 * * [simplify]: Extracting #6: cost 10 inf + 492 2.063 * * [simplify]: Extracting #7: cost 4 inf + 1624 2.063 * * [simplify]: Extracting #8: cost 0 inf + 2915 2.064 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) 2.064 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 2.064 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))) 2.064 * * [simplify]: iters left: 6 (10 enodes) 2.067 * * [simplify]: iters left: 5 (31 enodes) 2.072 * * [simplify]: Extracting #0: cost 1 inf + 0 2.072 * * [simplify]: Extracting #1: cost 4 inf + 0 2.072 * * [simplify]: Extracting #2: cost 8 inf + 0 2.072 * * [simplify]: Extracting #3: cost 13 inf + 0 2.072 * * [simplify]: Extracting #4: cost 16 inf + 1 2.072 * * [simplify]: Extracting #5: cost 13 inf + 44 2.072 * * [simplify]: Extracting #6: cost 5 inf + 533 2.072 * * [simplify]: Extracting #7: cost 0 inf + 1705 2.073 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))) 2.073 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1))))))) 2.073 * * * * [progress]: [ 23 / 178 ] simplifiying candidate # 2.073 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) 2.073 * * [simplify]: iters left: 6 (10 enodes) 2.076 * * [simplify]: iters left: 5 (31 enodes) 2.081 * * [simplify]: Extracting #0: cost 1 inf + 0 2.081 * * [simplify]: Extracting #1: cost 4 inf + 0 2.081 * * [simplify]: Extracting #2: cost 8 inf + 0 2.081 * * [simplify]: Extracting #3: cost 13 inf + 0 2.082 * * [simplify]: Extracting #4: cost 16 inf + 1 2.082 * * [simplify]: Extracting #5: cost 13 inf + 44 2.082 * * [simplify]: Extracting #6: cost 5 inf + 533 2.082 * * [simplify]: Extracting #7: cost 0 inf + 1545 2.082 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) 2.082 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (/ (sqrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 2.083 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) 2.083 * * [simplify]: iters left: 6 (10 enodes) 2.087 * * [simplify]: iters left: 5 (31 enodes) 2.095 * * [simplify]: Extracting #0: cost 1 inf + 0 2.096 * * [simplify]: Extracting #1: cost 4 inf + 0 2.096 * * [simplify]: Extracting #2: cost 8 inf + 0 2.096 * * [simplify]: Extracting #3: cost 13 inf + 0 2.096 * * [simplify]: Extracting #4: cost 16 inf + 1 2.096 * * [simplify]: Extracting #5: cost 13 inf + 44 2.096 * * [simplify]: Extracting #6: cost 5 inf + 533 2.096 * * [simplify]: Extracting #7: cost 0 inf + 1545 2.097 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) 2.097 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 2.097 * * * * [progress]: [ 24 / 178 ] simplifiying candidate # 2.097 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) 1) 2.097 * * [simplify]: iters left: 4 (5 enodes) 2.100 * * [simplify]: iters left: 3 (15 enodes) 2.105 * * [simplify]: iters left: 2 (17 enodes) 2.111 * * [simplify]: iters left: 1 (19 enodes) 2.117 * * [simplify]: Extracting #0: cost 1 inf + 0 2.117 * * [simplify]: Extracting #1: cost 4 inf + 0 2.117 * * [simplify]: Extracting #2: cost 5 inf + 1 2.117 * * [simplify]: Extracting #3: cost 4 inf + 2 2.117 * * [simplify]: Extracting #4: cost 1 inf + 165 2.117 * * [simplify]: Extracting #5: cost 0 inf + 246 2.117 * [simplify]: Simplified to (sqrt (sqrt 2)) 2.117 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))) 2.118 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))) 2.118 * * [simplify]: iters left: 6 (9 enodes) 2.122 * * [simplify]: iters left: 5 (28 enodes) 2.131 * * [simplify]: Extracting #0: cost 1 inf + 0 2.131 * * [simplify]: Extracting #1: cost 4 inf + 0 2.132 * * [simplify]: Extracting #2: cost 9 inf + 0 2.132 * * [simplify]: Extracting #3: cost 15 inf + 0 2.132 * * [simplify]: Extracting #4: cost 12 inf + 3 2.132 * * [simplify]: Extracting #5: cost 6 inf + 330 2.132 * * [simplify]: Extracting #6: cost 1 inf + 898 2.133 * * [simplify]: Extracting #7: cost 0 inf + 1141 2.133 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 2.133 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))) 2.134 * * * * [progress]: [ 25 / 178 ] simplifiying candidate # 2.134 * [simplify]: Simplifying (/ 1 (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) 2.134 * * [simplify]: iters left: 6 (9 enodes) 2.139 * * [simplify]: iters left: 5 (32 enodes) 2.146 * * [simplify]: iters left: 4 (36 enodes) 2.151 * * [simplify]: Extracting #0: cost 1 inf + 0 2.151 * * [simplify]: Extracting #1: cost 6 inf + 0 2.151 * * [simplify]: Extracting #2: cost 9 inf + 1 2.151 * * [simplify]: Extracting #3: cost 12 inf + 1 2.151 * * [simplify]: Extracting #4: cost 16 inf + 1 2.151 * * [simplify]: Extracting #5: cost 14 inf + 3 2.151 * * [simplify]: Extracting #6: cost 10 inf + 248 2.152 * * [simplify]: Extracting #7: cost 3 inf + 1543 2.152 * * [simplify]: Extracting #8: cost 0 inf + 2351 2.152 * [simplify]: Simplified to (/ (/ 1 (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) 2.152 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (/ (/ 1 (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))))) 2.153 * [simplify]: Simplifying (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2)))) 2.153 * * [simplify]: iters left: 6 (9 enodes) 2.155 * * [simplify]: iters left: 5 (28 enodes) 2.160 * * [simplify]: Extracting #0: cost 1 inf + 0 2.160 * * [simplify]: Extracting #1: cost 4 inf + 0 2.160 * * [simplify]: Extracting #2: cost 8 inf + 0 2.160 * * [simplify]: Extracting #3: cost 10 inf + 1 2.160 * * [simplify]: Extracting #4: cost 12 inf + 83 2.160 * * [simplify]: Extracting #5: cost 7 inf + 208 2.160 * * [simplify]: Extracting #6: cost 4 inf + 573 2.160 * * [simplify]: Extracting #7: cost 1 inf + 1180 2.160 * * [simplify]: Extracting #8: cost 0 inf + 1463 2.161 * [simplify]: Simplified to (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2)))) 2.161 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (/ 1 (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))))) 2.161 * * * * [progress]: [ 26 / 178 ] simplifiying candidate # 2.161 * [simplify]: Simplifying (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))) 2.161 * * [simplify]: iters left: 6 (8 enodes) 2.165 * * [simplify]: iters left: 5 (27 enodes) 2.169 * * [simplify]: iters left: 4 (29 enodes) 2.174 * * [simplify]: Extracting #0: cost 1 inf + 0 2.174 * * [simplify]: Extracting #1: cost 4 inf + 0 2.174 * * [simplify]: Extracting #2: cost 5 inf + 1 2.174 * * [simplify]: Extracting #3: cost 8 inf + 1 2.174 * * [simplify]: Extracting #4: cost 12 inf + 1 2.174 * * [simplify]: Extracting #5: cost 10 inf + 3 2.174 * * [simplify]: Extracting #6: cost 5 inf + 289 2.174 * * [simplify]: Extracting #7: cost 1 inf + 938 2.174 * * [simplify]: Extracting #8: cost 0 inf + 1141 2.175 * [simplify]: Simplified to (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))) 2.175 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))))) 2.175 * [simplify]: Simplifying (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2)))) 2.175 * * [simplify]: iters left: 6 (9 enodes) 2.177 * * [simplify]: iters left: 5 (28 enodes) 2.186 * * [simplify]: Extracting #0: cost 1 inf + 0 2.186 * * [simplify]: Extracting #1: cost 4 inf + 0 2.186 * * [simplify]: Extracting #2: cost 8 inf + 0 2.186 * * [simplify]: Extracting #3: cost 10 inf + 1 2.186 * * [simplify]: Extracting #4: cost 12 inf + 83 2.186 * * [simplify]: Extracting #5: cost 7 inf + 208 2.186 * * [simplify]: Extracting #6: cost 4 inf + 533 2.187 * * [simplify]: Extracting #7: cost 1 inf + 1060 2.187 * * [simplify]: Extracting #8: cost 0 inf + 1303 2.188 * [simplify]: Simplified to (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2)))) 2.188 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))))) 2.188 * * * * [progress]: [ 27 / 178 ] simplifiying candidate # 2.188 * [simplify]: Simplifying (/ 1 1) 2.188 * * [simplify]: iters left: 2 (2 enodes) 2.190 * * [simplify]: iters left: 1 (6 enodes) 2.192 * * [simplify]: Extracting #0: cost 1 inf + 0 2.192 * * [simplify]: Extracting #1: cost 0 inf + 1 2.192 * [simplify]: Simplified to 1 2.192 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* 1 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 2.192 * [simplify]: Simplifying (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) 2.192 * * [simplify]: iters left: 6 (8 enodes) 2.195 * * [simplify]: iters left: 5 (25 enodes) 2.199 * * [simplify]: Extracting #0: cost 1 inf + 0 2.199 * * [simplify]: Extracting #1: cost 4 inf + 0 2.199 * * [simplify]: Extracting #2: cost 9 inf + 0 2.199 * * [simplify]: Extracting #3: cost 12 inf + 1 2.199 * * [simplify]: Extracting #4: cost 7 inf + 126 2.200 * * [simplify]: Extracting #5: cost 1 inf + 696 2.200 * * [simplify]: Extracting #6: cost 0 inf + 899 2.200 * [simplify]: Simplified to (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) 2.200 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* 1 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 2.200 * * * * [progress]: [ 28 / 178 ] simplifiying candidate # 2.200 * * * * [progress]: [ 29 / 178 ] simplifiying candidate # 2.200 * [simplify]: Simplifying (/ 1 (+ (* a1 a1) (* a2 a2))) 2.200 * * [simplify]: iters left: 6 (7 enodes) 2.202 * * [simplify]: iters left: 5 (24 enodes) 2.206 * * [simplify]: iters left: 4 (26 enodes) 2.210 * * [simplify]: Extracting #0: cost 1 inf + 0 2.210 * * [simplify]: Extracting #1: cost 4 inf + 0 2.210 * * [simplify]: Extracting #2: cost 6 inf + 1 2.210 * * [simplify]: Extracting #3: cost 10 inf + 1 2.210 * * [simplify]: Extracting #4: cost 8 inf + 3 2.210 * * [simplify]: Extracting #5: cost 2 inf + 452 2.210 * * [simplify]: Extracting #6: cost 0 inf + 737 2.210 * [simplify]: Simplified to (/ 1 (+ (* a1 a1) (* a2 a2))) 2.211 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (* (sqrt 2) (/ 1 (+ (* a1 a1) (* a2 a2)))))) 2.211 * * * * [progress]: [ 30 / 178 ] simplifiying candidate # 2.211 * [simplify]: Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) 2.211 * * [simplify]: iters left: 6 (8 enodes) 2.213 * * [simplify]: iters left: 5 (25 enodes) 2.217 * * [simplify]: Extracting #0: cost 1 inf + 0 2.217 * * [simplify]: Extracting #1: cost 4 inf + 0 2.217 * * [simplify]: Extracting #2: cost 9 inf + 0 2.217 * * [simplify]: Extracting #3: cost 11 inf + 42 2.217 * * [simplify]: Extracting #4: cost 7 inf + 126 2.217 * * [simplify]: Extracting #5: cost 5 inf + 208 2.217 * * [simplify]: Extracting #6: cost 1 inf + 696 2.217 * * [simplify]: Extracting #7: cost 0 inf + 899 2.218 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) 2.218 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ 1 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))) 2.218 * * * * [progress]: [ 31 / 178 ] simplifiying candidate # 2.218 * [simplify]: Simplifying (/ (sqrt 2) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) 2.218 * * [simplify]: iters left: 6 (10 enodes) 2.221 * * [simplify]: iters left: 5 (33 enodes) 2.228 * * [simplify]: iters left: 4 (35 enodes) 2.237 * * [simplify]: Extracting #0: cost 1 inf + 0 2.237 * * [simplify]: Extracting #1: cost 6 inf + 0 2.238 * * [simplify]: Extracting #2: cost 12 inf + 0 2.238 * * [simplify]: Extracting #3: cost 14 inf + 1 2.238 * * [simplify]: Extracting #4: cost 17 inf + 42 2.238 * * [simplify]: Extracting #5: cost 12 inf + 167 2.238 * * [simplify]: Extracting #6: cost 6 inf + 897 2.238 * * [simplify]: Extracting #7: cost 0 inf + 2593 2.239 * [simplify]: Simplified to (/ (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) 2.239 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (/ (/ (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 2.239 * * * * [progress]: [ 32 / 178 ] simplifiying candidate # 2.239 * [simplify]: Simplifying (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2)))) 2.239 * * [simplify]: iters left: 6 (9 enodes) 2.241 * * [simplify]: iters left: 5 (28 enodes) 2.246 * * [simplify]: Extracting #0: cost 1 inf + 0 2.246 * * [simplify]: Extracting #1: cost 4 inf + 0 2.246 * * [simplify]: Extracting #2: cost 8 inf + 0 2.246 * * [simplify]: Extracting #3: cost 10 inf + 1 2.246 * * [simplify]: Extracting #4: cost 12 inf + 83 2.246 * * [simplify]: Extracting #5: cost 7 inf + 208 2.246 * * [simplify]: Extracting #6: cost 4 inf + 533 2.246 * * [simplify]: Extracting #7: cost 1 inf + 1060 2.247 * * [simplify]: Extracting #8: cost 0 inf + 1303 2.247 * [simplify]: Simplified to (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2)))) 2.247 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (/ (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 2.247 * * * * [progress]: [ 33 / 178 ] simplifiying candidate # 2.247 * [simplify]: Simplifying (/ (sqrt 2) 1) 2.247 * * [simplify]: iters left: 3 (4 enodes) 2.249 * * [simplify]: iters left: 2 (12 enodes) 2.251 * * [simplify]: iters left: 1 (14 enodes) 2.254 * * [simplify]: Extracting #0: cost 1 inf + 0 2.254 * * [simplify]: Extracting #1: cost 4 inf + 0 2.254 * * [simplify]: Extracting #2: cost 0 inf + 84 2.254 * [simplify]: Simplified to (sqrt 2) 2.254 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 2.254 * * * * [progress]: [ 34 / 178 ] simplifiying candidate # 2.254 * [simplify]: Simplifying (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) 2.254 * * [simplify]: iters left: 6 (9 enodes) 2.257 * * [simplify]: iters left: 5 (28 enodes) 2.264 * * [simplify]: Extracting #0: cost 1 inf + 0 2.264 * * [simplify]: Extracting #1: cost 4 inf + 0 2.264 * * [simplify]: Extracting #2: cost 9 inf + 0 2.264 * * [simplify]: Extracting #3: cost 15 inf + 0 2.264 * * [simplify]: Extracting #4: cost 10 inf + 85 2.264 * * [simplify]: Extracting #5: cost 6 inf + 329 2.264 * * [simplify]: Extracting #6: cost 1 inf + 1018 2.264 * * [simplify]: Extracting #7: cost 0 inf + 1301 2.265 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) 2.265 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))) 2.265 * * * * [progress]: [ 35 / 178 ] simplifiying candidate # 2.265 * [simplify]: Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt 2))) 2.265 * * [simplify]: iters left: 6 (9 enodes) 2.267 * * [simplify]: iters left: 5 (28 enodes) 2.272 * * [simplify]: Extracting #0: cost 1 inf + 0 2.272 * * [simplify]: Extracting #1: cost 4 inf + 0 2.272 * * [simplify]: Extracting #2: cost 9 inf + 0 2.272 * * [simplify]: Extracting #3: cost 15 inf + 0 2.272 * * [simplify]: Extracting #4: cost 10 inf + 85 2.272 * * [simplify]: Extracting #5: cost 6 inf + 369 2.272 * * [simplify]: Extracting #6: cost 1 inf + 1098 2.272 * * [simplify]: Extracting #7: cost 0 inf + 1381 2.273 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt 2))) 2.273 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt (* (cbrt 2) (cbrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt 2)))))) 2.273 * * * * [progress]: [ 36 / 178 ] simplifiying candidate # 2.273 * [simplify]: Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) 2.273 * * [simplify]: iters left: 6 (9 enodes) 2.277 * * [simplify]: iters left: 5 (28 enodes) 2.286 * * [simplify]: Extracting #0: cost 1 inf + 0 2.286 * * [simplify]: Extracting #1: cost 4 inf + 0 2.286 * * [simplify]: Extracting #2: cost 9 inf + 0 2.286 * * [simplify]: Extracting #3: cost 15 inf + 0 2.286 * * [simplify]: Extracting #4: cost 10 inf + 85 2.286 * * [simplify]: Extracting #5: cost 6 inf + 289 2.286 * * [simplify]: Extracting #6: cost 1 inf + 898 2.287 * * [simplify]: Extracting #7: cost 0 inf + 1141 2.287 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) 2.287 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt (sqrt 2)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))))) 2.287 * * * * [progress]: [ 37 / 178 ] simplifiying candidate # 2.288 * [simplify]: Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) 2.288 * * [simplify]: iters left: 6 (8 enodes) 2.292 * * [simplify]: iters left: 5 (25 enodes) 2.300 * * [simplify]: Extracting #0: cost 1 inf + 0 2.300 * * [simplify]: Extracting #1: cost 4 inf + 0 2.300 * * [simplify]: Extracting #2: cost 9 inf + 0 2.300 * * [simplify]: Extracting #3: cost 11 inf + 42 2.300 * * [simplify]: Extracting #4: cost 7 inf + 126 2.300 * * [simplify]: Extracting #5: cost 5 inf + 208 2.301 * * [simplify]: Extracting #6: cost 1 inf + 696 2.301 * * [simplify]: Extracting #7: cost 0 inf + 899 2.301 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) 2.301 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 1) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))) 2.301 * * * * [progress]: [ 38 / 178 ] simplifiying candidate # 2.302 * [simplify]: Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) 2.302 * * [simplify]: iters left: 6 (9 enodes) 2.307 * * [simplify]: iters left: 5 (28 enodes) 2.311 * * [simplify]: Extracting #0: cost 1 inf + 0 2.311 * * [simplify]: Extracting #1: cost 4 inf + 0 2.311 * * [simplify]: Extracting #2: cost 9 inf + 0 2.311 * * [simplify]: Extracting #3: cost 15 inf + 0 2.311 * * [simplify]: Extracting #4: cost 10 inf + 85 2.311 * * [simplify]: Extracting #5: cost 6 inf + 289 2.311 * * [simplify]: Extracting #6: cost 1 inf + 898 2.312 * * [simplify]: Extracting #7: cost 0 inf + 1141 2.312 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) 2.312 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt (sqrt 2)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))))) 2.312 * * * * [progress]: [ 39 / 178 ] simplifiying candidate # 2.312 * [simplify]: Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) 2.312 * * [simplify]: iters left: 6 (8 enodes) 2.314 * * [simplify]: iters left: 5 (25 enodes) 2.318 * * [simplify]: Extracting #0: cost 1 inf + 0 2.318 * * [simplify]: Extracting #1: cost 4 inf + 0 2.318 * * [simplify]: Extracting #2: cost 9 inf + 0 2.318 * * [simplify]: Extracting #3: cost 11 inf + 42 2.319 * * [simplify]: Extracting #4: cost 7 inf + 126 2.319 * * [simplify]: Extracting #5: cost 5 inf + 208 2.319 * * [simplify]: Extracting #6: cost 1 inf + 696 2.319 * * [simplify]: Extracting #7: cost 0 inf + 899 2.319 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) 2.319 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ 1 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))) 2.319 * * * * [progress]: [ 40 / 178 ] simplifiying candidate # 2.319 * [simplify]: Simplifying (/ (sqrt 2) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) 2.319 * * [simplify]: iters left: 6 (11 enodes) 2.323 * * [simplify]: iters left: 5 (50 enodes) 2.335 * * [simplify]: iters left: 4 (103 enodes) 2.365 * * [simplify]: iters left: 3 (199 enodes) 2.439 * * [simplify]: iters left: 2 (387 enodes) 2.600 * * [simplify]: Extracting #0: cost 1 inf + 0 2.600 * * [simplify]: Extracting #1: cost 4 inf + 0 2.601 * * [simplify]: Extracting #2: cost 9 inf + 0 2.601 * * [simplify]: Extracting #3: cost 75 inf + 1 2.602 * * [simplify]: Extracting #4: cost 164 inf + 855 2.604 * * [simplify]: Extracting #5: cost 145 inf + 4779 2.609 * * [simplify]: Extracting #6: cost 83 inf + 26411 2.618 * * [simplify]: Extracting #7: cost 12 inf + 57308 2.629 * * [simplify]: Extracting #8: cost 0 inf + 63937 2.640 * [simplify]: Simplified to (/ (sqrt 2) (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) 2.640 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (/ (sqrt 2) (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))) 2.640 * * * * [progress]: [ 41 / 178 ] simplifiying candidate # 2.640 * [simplify]: Simplifying (/ (sqrt 2) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) 2.641 * * [simplify]: iters left: 6 (10 enodes) 2.647 * * [simplify]: iters left: 5 (43 enodes) 2.663 * * [simplify]: iters left: 4 (75 enodes) 2.689 * * [simplify]: iters left: 3 (132 enodes) 2.744 * * [simplify]: iters left: 2 (286 enodes) 2.852 * * [simplify]: Extracting #0: cost 1 inf + 0 2.852 * * [simplify]: Extracting #1: cost 6 inf + 0 2.852 * * [simplify]: Extracting #2: cost 63 inf + 0 2.853 * * [simplify]: Extracting #3: cost 164 inf + 42 2.854 * * [simplify]: Extracting #4: cost 201 inf + 532 2.856 * * [simplify]: Extracting #5: cost 141 inf + 8806 2.862 * * [simplify]: Extracting #6: cost 24 inf + 32492 2.870 * * [simplify]: Extracting #7: cost 0 inf + 36951 2.881 * [simplify]: Simplified to (/ (sqrt 2) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) 2.881 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (* (/ (sqrt 2) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (- (* a1 a1) (* a2 a2))))) 2.881 * * * * [progress]: [ 42 / 178 ] simplifiying candidate #real (real->posit16 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))))> 2.881 * [simplify]: Simplifying (real->posit16 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 2.881 * * [simplify]: iters left: 6 (9 enodes) 2.884 * * [simplify]: iters left: 5 (25 enodes) 2.888 * * [simplify]: Extracting #0: cost 1 inf + 0 2.888 * * [simplify]: Extracting #1: cost 2 inf + 0 2.888 * * [simplify]: Extracting #2: cost 4 inf + 0 2.888 * * [simplify]: Extracting #3: cost 9 inf + 0 2.888 * * [simplify]: Extracting #4: cost 12 inf + 1 2.888 * * [simplify]: Extracting #5: cost 5 inf + 208 2.888 * * [simplify]: Extracting #6: cost 2 inf + 574 2.889 * * [simplify]: Extracting #7: cost 0 inf + 899 2.889 * [simplify]: Simplified to (real->posit16 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 2.889 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (/ (cos th) (posit16->real (real->posit16 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 2.889 * * * * [progress]: [ 43 / 178 ] simplifiying candidate # 2.889 * * * * [progress]: [ 44 / 178 ] simplifiying candidate # 2.890 * [simplify]: Simplifying (- (log (cos th)) (- (log (sqrt 2)) (log (+ (* a1 a1) (* a2 a2))))) 2.890 * * [simplify]: iters left: 6 (14 enodes) 2.896 * * [simplify]: iters left: 5 (49 enodes) 2.912 * * [simplify]: iters left: 4 (63 enodes) 2.931 * * [simplify]: iters left: 3 (74 enodes) 2.951 * * [simplify]: iters left: 2 (84 enodes) 2.962 * * [simplify]: iters left: 1 (92 enodes) 2.980 * * [simplify]: Extracting #0: cost 1 inf + 0 2.981 * * [simplify]: Extracting #1: cost 16 inf + 0 2.981 * * [simplify]: Extracting #2: cost 32 inf + 0 2.981 * * [simplify]: Extracting #3: cost 39 inf + 0 2.981 * * [simplify]: Extracting #4: cost 36 inf + 317 2.982 * * [simplify]: Extracting #5: cost 24 inf + 1981 2.983 * * [simplify]: Extracting #6: cost 21 inf + 2234 2.984 * * [simplify]: Extracting #7: cost 11 inf + 4667 2.986 * * [simplify]: Extracting #8: cost 2 inf + 8245 2.989 * * [simplify]: Extracting #9: cost 0 inf + 9162 2.995 * [simplify]: Simplified to (+ (log (+ (* a2 a2) (* a1 a1))) (- (log (cos th)) (log (sqrt 2)))) 2.995 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (+ (* a2 a2) (* a1 a1))) (- (log (cos th)) (log (sqrt 2)))))) 2.995 * * * * [progress]: [ 45 / 178 ] simplifiying candidate # 2.995 * [simplify]: Simplifying (- (log (cos th)) (log (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 2.995 * * [simplify]: iters left: 6 (13 enodes) 2.999 * * [simplify]: iters left: 5 (45 enodes) 3.006 * * [simplify]: iters left: 4 (56 enodes) 3.015 * * [simplify]: iters left: 3 (66 enodes) 3.025 * * [simplify]: iters left: 2 (72 enodes) 3.035 * * [simplify]: iters left: 1 (84 enodes) 3.052 * * [simplify]: Extracting #0: cost 1 inf + 0 3.052 * * [simplify]: Extracting #1: cost 12 inf + 0 3.052 * * [simplify]: Extracting #2: cost 27 inf + 0 3.052 * * [simplify]: Extracting #3: cost 35 inf + 0 3.053 * * [simplify]: Extracting #4: cost 33 inf + 256 3.053 * * [simplify]: Extracting #5: cost 21 inf + 1770 3.054 * * [simplify]: Extracting #6: cost 9 inf + 4638 3.057 * * [simplify]: Extracting #7: cost 0 inf + 7083 3.059 * * [simplify]: Extracting #8: cost 0 inf + 6983 3.061 * [simplify]: Simplified to (- (log (cos th)) (log (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) 3.061 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (- (log (cos th)) (log (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))))) 3.061 * * * * [progress]: [ 46 / 178 ] simplifiying candidate # 3.061 * [simplify]: Simplifying (log (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 3.061 * * [simplify]: iters left: 6 (12 enodes) 3.067 * * [simplify]: iters left: 5 (42 enodes) 3.081 * * [simplify]: iters left: 4 (66 enodes) 3.107 * * [simplify]: iters left: 3 (113 enodes) 3.141 * * [simplify]: iters left: 2 (161 enodes) 3.185 * * [simplify]: iters left: 1 (207 enodes) 3.215 * * [simplify]: Extracting #0: cost 1 inf + 0 3.215 * * [simplify]: Extracting #1: cost 13 inf + 0 3.215 * * [simplify]: Extracting #2: cost 31 inf + 0 3.215 * * [simplify]: Extracting #3: cost 62 inf + 0 3.216 * * [simplify]: Extracting #4: cost 60 inf + 1598 3.217 * * [simplify]: Extracting #5: cost 9 inf + 10417 3.221 * * [simplify]: Extracting #6: cost 0 inf + 12411 3.228 * [simplify]: Simplified to (log (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 3.229 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (log (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 3.229 * * * * [progress]: [ 47 / 178 ] simplifiying candidate # 3.229 * [simplify]: Simplifying (exp (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 3.229 * * [simplify]: iters left: 6 (12 enodes) 3.236 * * [simplify]: iters left: 5 (39 enodes) 3.249 * * [simplify]: iters left: 4 (54 enodes) 3.268 * * [simplify]: iters left: 3 (99 enodes) 3.299 * * [simplify]: iters left: 2 (175 enodes) 3.352 * * [simplify]: iters left: 1 (291 enodes) 3.421 * * [simplify]: Extracting #0: cost 1 inf + 0 3.421 * * [simplify]: Extracting #1: cost 56 inf + 0 3.421 * * [simplify]: Extracting #2: cost 134 inf + 0 3.422 * * [simplify]: Extracting #3: cost 197 inf + 726 3.424 * * [simplify]: Extracting #4: cost 121 inf + 13266 3.430 * * [simplify]: Extracting #5: cost 36 inf + 46715 3.443 * * [simplify]: Extracting #6: cost 0 inf + 74407 3.461 * [simplify]: Simplified to (exp (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 3.461 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (log (exp (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 3.461 * * * * [progress]: [ 48 / 178 ] simplifiying candidate # 3.462 * [simplify]: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))) 3.462 * * [simplify]: iters left: 6 (17 enodes) 3.471 * * [simplify]: iters left: 5 (76 enodes) 3.510 * * [simplify]: iters left: 4 (269 enodes) 3.650 * * [simplify]: Extracting #0: cost 1 inf + 0 3.651 * * [simplify]: Extracting #1: cost 88 inf + 0 3.652 * * [simplify]: Extracting #2: cost 301 inf + 123 3.658 * * [simplify]: Extracting #3: cost 314 inf + 13833 3.688 * * [simplify]: Extracting #4: cost 91 inf + 76477 3.732 * * [simplify]: Extracting #5: cost 0 inf + 105409 3.777 * [simplify]: Simplified to (* (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) 2)) 3.777 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) 2)))) 3.778 * * * * [progress]: [ 49 / 178 ] simplifiying candidate # 3.778 * [simplify]: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 3.778 * * [simplify]: iters left: 6 (15 enodes) 3.786 * * [simplify]: iters left: 5 (61 enodes) 3.809 * * [simplify]: iters left: 4 (133 enodes) 3.875 * * [simplify]: iters left: 3 (409 enodes) 4.236 * * [simplify]: Extracting #0: cost 1 inf + 0 4.236 * * [simplify]: Extracting #1: cost 101 inf + 0 4.239 * * [simplify]: Extracting #2: cost 407 inf + 1 4.253 * * [simplify]: Extracting #3: cost 295 inf + 43630 4.289 * * [simplify]: Extracting #4: cost 28 inf + 132387 4.348 * * [simplify]: Extracting #5: cost 0 inf + 141103 4.398 * * [simplify]: Extracting #6: cost 0 inf + 141063 4.471 * [simplify]: Simplified to (* (/ (/ (cos th) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) (cos th)) 4.471 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (/ (cos th) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) (cos th)))) 4.471 * * * * [progress]: [ 50 / 178 ] simplifiying candidate # 4.471 * [simplify]: Simplifying (* (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 4.471 * * [simplify]: iters left: 6 (13 enodes) 4.478 * * [simplify]: iters left: 5 (42 enodes) 4.488 * * [simplify]: iters left: 4 (55 enodes) 4.497 * * [simplify]: iters left: 3 (87 enodes) 4.511 * * [simplify]: iters left: 2 (122 enodes) 4.538 * * [simplify]: iters left: 1 (156 enodes) 4.557 * * [simplify]: Extracting #0: cost 1 inf + 0 4.557 * * [simplify]: Extracting #1: cost 3 inf + 0 4.557 * * [simplify]: Extracting #2: cost 5 inf + 0 4.557 * * [simplify]: Extracting #3: cost 14 inf + 0 4.557 * * [simplify]: Extracting #4: cost 45 inf + 0 4.557 * * [simplify]: Extracting #5: cost 48 inf + 920 4.559 * * [simplify]: Extracting #6: cost 14 inf + 5637 4.562 * * [simplify]: Extracting #7: cost 0 inf + 9060 4.565 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 4.565 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 4.566 * [simplify]: Simplifying (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 4.566 * * [simplify]: iters left: 6 (12 enodes) 4.572 * * [simplify]: iters left: 5 (39 enodes) 4.583 * * [simplify]: iters left: 4 (52 enodes) 4.601 * * [simplify]: iters left: 3 (84 enodes) 4.621 * * [simplify]: iters left: 2 (119 enodes) 4.638 * * [simplify]: iters left: 1 (153 enodes) 4.671 * * [simplify]: Extracting #0: cost 1 inf + 0 4.671 * * [simplify]: Extracting #1: cost 3 inf + 0 4.672 * * [simplify]: Extracting #2: cost 12 inf + 0 4.672 * * [simplify]: Extracting #3: cost 43 inf + 0 4.672 * * [simplify]: Extracting #4: cost 46 inf + 942 4.674 * * [simplify]: Extracting #5: cost 15 inf + 4967 4.677 * * [simplify]: Extracting #6: cost 0 inf + 8252 4.680 * * [simplify]: Extracting #7: cost 0 inf + 8212 4.683 * [simplify]: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 4.683 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 4.683 * * * * [progress]: [ 51 / 178 ] simplifiying candidate # 4.683 * [simplify]: Simplifying (* (* (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 4.684 * * [simplify]: iters left: 6 (13 enodes) 4.690 * * [simplify]: iters left: 5 (49 enodes) 4.709 * * [simplify]: iters left: 4 (107 enodes) 4.781 * * [simplify]: iters left: 3 (484 enodes) 5.288 * * [simplify]: Extracting #0: cost 1 inf + 0 5.289 * * [simplify]: Extracting #1: cost 91 inf + 0 5.291 * * [simplify]: Extracting #2: cost 456 inf + 1 5.306 * * [simplify]: Extracting #3: cost 473 inf + 38104 5.371 * * [simplify]: Extracting #4: cost 17 inf + 199833 5.440 * * [simplify]: Extracting #5: cost 0 inf + 205324 5.494 * [simplify]: Simplified to (* (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 5.494 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))))) 5.494 * * * * [progress]: [ 52 / 178 ] simplifiying candidate # 5.495 * [simplify]: Simplifying (sqrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 5.495 * * [simplify]: iters left: 6 (12 enodes) 5.498 * * [simplify]: iters left: 5 (39 enodes) 5.504 * * [simplify]: iters left: 4 (52 enodes) 5.513 * * [simplify]: iters left: 3 (84 enodes) 5.538 * * [simplify]: iters left: 2 (119 enodes) 5.557 * * [simplify]: iters left: 1 (153 enodes) 5.580 * * [simplify]: Extracting #0: cost 1 inf + 0 5.580 * * [simplify]: Extracting #1: cost 3 inf + 0 5.580 * * [simplify]: Extracting #2: cost 12 inf + 0 5.580 * * [simplify]: Extracting #3: cost 43 inf + 0 5.580 * * [simplify]: Extracting #4: cost 46 inf + 942 5.582 * * [simplify]: Extracting #5: cost 15 inf + 4967 5.585 * * [simplify]: Extracting #6: cost 0 inf + 8172 5.588 * * [simplify]: Extracting #7: cost 0 inf + 8132 5.591 * [simplify]: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 5.592 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (sqrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 5.592 * [simplify]: Simplifying (sqrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 5.592 * * [simplify]: iters left: 6 (12 enodes) 5.598 * * [simplify]: iters left: 5 (39 enodes) 5.610 * * [simplify]: iters left: 4 (52 enodes) 5.627 * * [simplify]: iters left: 3 (84 enodes) 5.651 * * [simplify]: iters left: 2 (119 enodes) 5.667 * * [simplify]: iters left: 1 (153 enodes) 5.702 * * [simplify]: Extracting #0: cost 1 inf + 0 5.702 * * [simplify]: Extracting #1: cost 3 inf + 0 5.702 * * [simplify]: Extracting #2: cost 12 inf + 0 5.703 * * [simplify]: Extracting #3: cost 43 inf + 0 5.703 * * [simplify]: Extracting #4: cost 46 inf + 942 5.705 * * [simplify]: Extracting #5: cost 15 inf + 4967 5.708 * * [simplify]: Extracting #6: cost 0 inf + 8172 5.711 * * [simplify]: Extracting #7: cost 0 inf + 8132 5.714 * [simplify]: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 5.714 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (sqrt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 5.714 * * * * [progress]: [ 53 / 178 ] simplifiying candidate # 5.715 * [simplify]: Simplifying (- (cos th)) 5.715 * * [simplify]: iters left: 3 (3 enodes) 5.716 * * [simplify]: iters left: 2 (9 enodes) 5.718 * * [simplify]: Extracting #0: cost 1 inf + 0 5.718 * * [simplify]: Extracting #1: cost 3 inf + 0 5.718 * * [simplify]: Extracting #2: cost 5 inf + 0 5.718 * * [simplify]: Extracting #3: cost 4 inf + 1 5.719 * * [simplify]: Extracting #4: cost 0 inf + 325 5.719 * [simplify]: Simplified to (- (cos th)) 5.719 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (- (cos th)) (- (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 5.719 * [simplify]: Simplifying (- (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 5.719 * * [simplify]: iters left: 6 (9 enodes) 5.724 * * [simplify]: iters left: 5 (30 enodes) 5.733 * * [simplify]: iters left: 4 (32 enodes) 5.743 * * [simplify]: Extracting #0: cost 1 inf + 0 5.743 * * [simplify]: Extracting #1: cost 5 inf + 0 5.744 * * [simplify]: Extracting #2: cost 11 inf + 0 5.744 * * [simplify]: Extracting #3: cost 17 inf + 0 5.744 * * [simplify]: Extracting #4: cost 11 inf + 126 5.744 * * [simplify]: Extracting #5: cost 4 inf + 736 5.745 * * [simplify]: Extracting #6: cost 0 inf + 1547 5.745 * [simplify]: Simplified to (/ (- (sqrt 2)) (+ (* a1 a1) (* a2 a2))) 5.745 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (/ (- (cos th)) (/ (- (sqrt 2)) (+ (* a1 a1) (* a2 a2))))) 5.746 * * * * [progress]: [ 54 / 178 ] simplifiying candidate # 5.746 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 5.746 * * [simplify]: iters left: 6 (15 enodes) 5.754 * * [simplify]: iters left: 5 (52 enodes) 5.770 * * [simplify]: iters left: 4 (67 enodes) 5.787 * * [simplify]: iters left: 3 (74 enodes) 5.798 * * [simplify]: iters left: 2 (77 enodes) 5.809 * * [simplify]: Extracting #0: cost 1 inf + 0 5.809 * * [simplify]: Extracting #1: cost 11 inf + 0 5.809 * * [simplify]: Extracting #2: cost 22 inf + 0 5.809 * * [simplify]: Extracting #3: cost 27 inf + 0 5.809 * * [simplify]: Extracting #4: cost 29 inf + 123 5.809 * * [simplify]: Extracting #5: cost 26 inf + 850 5.809 * * [simplify]: Extracting #6: cost 20 inf + 1016 5.810 * * [simplify]: Extracting #7: cost 13 inf + 2595 5.811 * * [simplify]: Extracting #8: cost 2 inf + 7878 5.812 * * [simplify]: Extracting #9: cost 0 inf + 8766 5.813 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) 5.813 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 5.814 * [simplify]: Simplifying (/ (cbrt (cos th)) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 5.814 * * [simplify]: iters left: 6 (13 enodes) 5.820 * * [simplify]: iters left: 5 (40 enodes) 5.835 * * [simplify]: Extracting #0: cost 1 inf + 0 5.835 * * [simplify]: Extracting #1: cost 4 inf + 0 5.835 * * [simplify]: Extracting #2: cost 8 inf + 0 5.835 * * [simplify]: Extracting #3: cost 13 inf + 0 5.835 * * [simplify]: Extracting #4: cost 17 inf + 1 5.835 * * [simplify]: Extracting #5: cost 19 inf + 63 5.835 * * [simplify]: Extracting #6: cost 12 inf + 490 5.836 * * [simplify]: Extracting #7: cost 9 inf + 694 5.836 * * [simplify]: Extracting #8: cost 4 inf + 1384 5.837 * * [simplify]: Extracting #9: cost 1 inf + 2334 5.838 * * [simplify]: Extracting #10: cost 0 inf + 2798 5.839 * [simplify]: Simplified to (/ (cbrt (cos th)) (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) 5.839 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cos th)) (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))))) 5.839 * * * * [progress]: [ 55 / 178 ] simplifiying candidate # 5.839 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 5.839 * * [simplify]: iters left: 6 (14 enodes) 5.846 * * [simplify]: iters left: 5 (45 enodes) 5.859 * * [simplify]: iters left: 4 (49 enodes) 5.867 * * [simplify]: iters left: 3 (52 enodes) 5.875 * * [simplify]: Extracting #0: cost 1 inf + 0 5.875 * * [simplify]: Extracting #1: cost 7 inf + 0 5.875 * * [simplify]: Extracting #2: cost 14 inf + 0 5.875 * * [simplify]: Extracting #3: cost 19 inf + 0 5.875 * * [simplify]: Extracting #4: cost 23 inf + 1 5.875 * * [simplify]: Extracting #5: cost 22 inf + 206 5.875 * * [simplify]: Extracting #6: cost 13 inf + 975 5.876 * * [simplify]: Extracting #7: cost 6 inf + 2373 5.876 * * [simplify]: Extracting #8: cost 1 inf + 4352 5.877 * * [simplify]: Extracting #9: cost 0 inf + 4776 5.878 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) 5.878 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 5.878 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 5.878 * * [simplify]: iters left: 6 (13 enodes) 5.881 * * [simplify]: iters left: 5 (40 enodes) 5.890 * * [simplify]: Extracting #0: cost 1 inf + 0 5.890 * * [simplify]: Extracting #1: cost 4 inf + 0 5.890 * * [simplify]: Extracting #2: cost 8 inf + 0 5.890 * * [simplify]: Extracting #3: cost 13 inf + 0 5.890 * * [simplify]: Extracting #4: cost 17 inf + 1 5.890 * * [simplify]: Extracting #5: cost 19 inf + 63 5.890 * * [simplify]: Extracting #6: cost 12 inf + 490 5.890 * * [simplify]: Extracting #7: cost 9 inf + 694 5.891 * * [simplify]: Extracting #8: cost 4 inf + 1344 5.891 * * [simplify]: Extracting #9: cost 1 inf + 2214 5.892 * * [simplify]: Extracting #10: cost 0 inf + 2638 5.893 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) 5.893 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cos th)) (sqrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))))) 5.893 * * * * [progress]: [ 56 / 178 ] simplifiying candidate # 5.893 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 5.894 * * [simplify]: iters left: 6 (17 enodes) 5.902 * * [simplify]: iters left: 5 (62 enodes) 5.922 * * [simplify]: iters left: 4 (108 enodes) 5.948 * * [simplify]: iters left: 3 (217 enodes) 6.009 * * [simplify]: iters left: 2 (382 enodes) 6.198 * * [simplify]: iters left: 1 (499 enodes) 6.442 * * [simplify]: Extracting #0: cost 1 inf + 0 6.442 * * [simplify]: Extracting #1: cost 42 inf + 0 6.443 * * [simplify]: Extracting #2: cost 85 inf + 0 6.444 * * [simplify]: Extracting #3: cost 92 inf + 0 6.445 * * [simplify]: Extracting #4: cost 88 inf + 548 6.446 * * [simplify]: Extracting #5: cost 76 inf + 2283 6.454 * * [simplify]: Extracting #6: cost 26 inf + 22546 6.470 * * [simplify]: Extracting #7: cost 2 inf + 34209 6.485 * * [simplify]: Extracting #8: cost 0 inf + 34875 6.494 * [simplify]: Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 6.494 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 6.494 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 6.494 * * [simplify]: iters left: 6 (14 enodes) 6.498 * * [simplify]: iters left: 5 (45 enodes) 6.505 * * [simplify]: iters left: 4 (50 enodes) 6.514 * * [simplify]: iters left: 3 (54 enodes) 6.532 * * [simplify]: Extracting #0: cost 1 inf + 0 6.532 * * [simplify]: Extracting #1: cost 8 inf + 0 6.532 * * [simplify]: Extracting #2: cost 17 inf + 0 6.532 * * [simplify]: Extracting #3: cost 24 inf + 0 6.533 * * [simplify]: Extracting #4: cost 21 inf + 407 6.533 * * [simplify]: Extracting #5: cost 11 inf + 1459 6.534 * * [simplify]: Extracting #6: cost 3 inf + 3438 6.535 * * [simplify]: Extracting #7: cost 0 inf + 4728 6.536 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))) 6.536 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))))) 6.536 * * * * [progress]: [ 57 / 178 ] simplifiying candidate # 6.537 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 6.537 * * [simplify]: iters left: 6 (16 enodes) 6.544 * * [simplify]: iters left: 5 (55 enodes) 6.553 * * [simplify]: iters left: 4 (79 enodes) 6.566 * * [simplify]: iters left: 3 (138 enodes) 6.610 * * [simplify]: iters left: 2 (195 enodes) 6.657 * * [simplify]: iters left: 1 (226 enodes) 6.712 * * [simplify]: Extracting #0: cost 1 inf + 0 6.712 * * [simplify]: Extracting #1: cost 26 inf + 0 6.712 * * [simplify]: Extracting #2: cost 53 inf + 0 6.713 * * [simplify]: Extracting #3: cost 60 inf + 0 6.713 * * [simplify]: Extracting #4: cost 57 inf + 547 6.714 * * [simplify]: Extracting #5: cost 36 inf + 5139 6.717 * * [simplify]: Extracting #6: cost 17 inf + 11268 6.722 * * [simplify]: Extracting #7: cost 0 inf + 18024 6.729 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 6.729 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 6.730 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 6.730 * * [simplify]: iters left: 6 (14 enodes) 6.737 * * [simplify]: iters left: 5 (45 enodes) 6.746 * * [simplify]: iters left: 4 (50 enodes) 6.753 * * [simplify]: iters left: 3 (54 enodes) 6.761 * * [simplify]: Extracting #0: cost 1 inf + 0 6.761 * * [simplify]: Extracting #1: cost 8 inf + 0 6.761 * * [simplify]: Extracting #2: cost 17 inf + 0 6.761 * * [simplify]: Extracting #3: cost 24 inf + 0 6.761 * * [simplify]: Extracting #4: cost 21 inf + 407 6.761 * * [simplify]: Extracting #5: cost 11 inf + 1459 6.762 * * [simplify]: Extracting #6: cost 3 inf + 3238 6.762 * * [simplify]: Extracting #7: cost 0 inf + 4408 6.763 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 6.763 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 6.763 * * * * [progress]: [ 58 / 178 ] simplifiying candidate # 6.763 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) 6.763 * * [simplify]: iters left: 6 (11 enodes) 6.767 * * [simplify]: iters left: 5 (39 enodes) 6.778 * * [simplify]: iters left: 4 (65 enodes) 6.799 * * [simplify]: iters left: 3 (103 enodes) 6.823 * * [simplify]: iters left: 2 (152 enodes) 6.877 * * [simplify]: iters left: 1 (178 enodes) 6.947 * * [simplify]: Extracting #0: cost 1 inf + 0 6.948 * * [simplify]: Extracting #1: cost 16 inf + 0 6.948 * * [simplify]: Extracting #2: cost 30 inf + 1 6.948 * * [simplify]: Extracting #3: cost 34 inf + 1 6.948 * * [simplify]: Extracting #4: cost 30 inf + 105 6.949 * * [simplify]: Extracting #5: cost 13 inf + 3833 6.952 * * [simplify]: Extracting #6: cost 0 inf + 7455 6.954 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 6.954 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))) 6.955 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) 6.955 * * [simplify]: iters left: 6 (13 enodes) 6.958 * * [simplify]: iters left: 5 (42 enodes) 6.964 * * [simplify]: iters left: 4 (55 enodes) 6.974 * * [simplify]: iters left: 3 (87 enodes) 6.987 * * [simplify]: iters left: 2 (122 enodes) 7.005 * * [simplify]: iters left: 1 (156 enodes) 7.027 * * [simplify]: Extracting #0: cost 1 inf + 0 7.027 * * [simplify]: Extracting #1: cost 10 inf + 0 7.027 * * [simplify]: Extracting #2: cost 41 inf + 0 7.028 * * [simplify]: Extracting #3: cost 58 inf + 84 7.028 * * [simplify]: Extracting #4: cost 43 inf + 1525 7.029 * * [simplify]: Extracting #5: cost 5 inf + 11495 7.031 * * [simplify]: Extracting #6: cost 0 inf + 12928 7.033 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) 7.033 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))) 7.033 * * * * [progress]: [ 59 / 178 ] simplifiying candidate # 7.033 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 7.034 * * [simplify]: iters left: 6 (17 enodes) 7.042 * * [simplify]: iters left: 5 (59 enodes) 7.061 * * [simplify]: iters left: 4 (80 enodes) 7.087 * * [simplify]: iters left: 3 (119 enodes) 7.124 * * [simplify]: iters left: 2 (169 enodes) 7.165 * * [simplify]: iters left: 1 (199 enodes) 7.217 * * [simplify]: Extracting #0: cost 1 inf + 0 7.217 * * [simplify]: Extracting #1: cost 25 inf + 0 7.218 * * [simplify]: Extracting #2: cost 52 inf + 0 7.218 * * [simplify]: Extracting #3: cost 60 inf + 0 7.218 * * [simplify]: Extracting #4: cost 56 inf + 588 7.219 * * [simplify]: Extracting #5: cost 39 inf + 3772 7.222 * * [simplify]: Extracting #6: cost 23 inf + 9034 7.228 * * [simplify]: Extracting #7: cost 1 inf + 19389 7.235 * * [simplify]: Extracting #8: cost 0 inf + 19893 7.242 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt 2))) 7.242 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt 2))) (/ (cbrt (cos th)) (/ (sqrt (cbrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 7.243 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt (cbrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 7.243 * * [simplify]: iters left: 6 (14 enodes) 7.250 * * [simplify]: iters left: 5 (45 enodes) 7.262 * * [simplify]: iters left: 4 (50 enodes) 7.270 * * [simplify]: iters left: 3 (54 enodes) 7.278 * * [simplify]: Extracting #0: cost 1 inf + 0 7.278 * * [simplify]: Extracting #1: cost 8 inf + 0 7.278 * * [simplify]: Extracting #2: cost 17 inf + 0 7.278 * * [simplify]: Extracting #3: cost 24 inf + 0 7.278 * * [simplify]: Extracting #4: cost 21 inf + 447 7.278 * * [simplify]: Extracting #5: cost 11 inf + 1539 7.279 * * [simplify]: Extracting #6: cost 3 inf + 3518 7.279 * * [simplify]: Extracting #7: cost 0 inf + 4808 7.280 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))) 7.280 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (sqrt (cbrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))))) 7.280 * * * * [progress]: [ 60 / 178 ] simplifiying candidate # 7.280 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 7.280 * * [simplify]: iters left: 6 (16 enodes) 7.284 * * [simplify]: iters left: 5 (54 enodes) 7.298 * * [simplify]: iters left: 4 (67 enodes) 7.317 * * [simplify]: iters left: 3 (86 enodes) 7.341 * * [simplify]: iters left: 2 (99 enodes) 7.369 * * [simplify]: iters left: 1 (104 enodes) 7.399 * * [simplify]: Extracting #0: cost 1 inf + 0 7.399 * * [simplify]: Extracting #1: cost 17 inf + 0 7.399 * * [simplify]: Extracting #2: cost 35 inf + 0 7.399 * * [simplify]: Extracting #3: cost 43 inf + 0 7.399 * * [simplify]: Extracting #4: cost 43 inf + 124 7.400 * * [simplify]: Extracting #5: cost 27 inf + 1801 7.402 * * [simplify]: Extracting #6: cost 12 inf + 6338 7.405 * * [simplify]: Extracting #7: cost 1 inf + 10693 7.408 * * [simplify]: Extracting #8: cost 0 inf + 11076 7.411 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (fabs (cbrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 7.412 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (fabs (cbrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (/ (sqrt (cbrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 7.412 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt (cbrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 7.412 * * [simplify]: iters left: 6 (14 enodes) 7.419 * * [simplify]: iters left: 5 (45 enodes) 7.427 * * [simplify]: iters left: 4 (50 enodes) 7.434 * * [simplify]: iters left: 3 (54 enodes) 7.442 * * [simplify]: Extracting #0: cost 1 inf + 0 7.442 * * [simplify]: Extracting #1: cost 8 inf + 0 7.442 * * [simplify]: Extracting #2: cost 17 inf + 0 7.442 * * [simplify]: Extracting #3: cost 24 inf + 0 7.442 * * [simplify]: Extracting #4: cost 21 inf + 447 7.443 * * [simplify]: Extracting #5: cost 11 inf + 1539 7.443 * * [simplify]: Extracting #6: cost 3 inf + 3318 7.444 * * [simplify]: Extracting #7: cost 0 inf + 4488 7.444 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 7.444 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cbrt (cos th)) (sqrt (cbrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 7.444 * * * * [progress]: [ 61 / 178 ] simplifiying candidate # 7.445 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (* (cbrt 2) (cbrt 2))) 1)) 7.445 * * [simplify]: iters left: 6 (11 enodes) 7.448 * * [simplify]: iters left: 5 (37 enodes) 7.456 * * [simplify]: iters left: 4 (50 enodes) 7.464 * * [simplify]: iters left: 3 (62 enodes) 7.474 * * [simplify]: iters left: 2 (64 enodes) 7.486 * * [simplify]: iters left: 1 (68 enodes) 7.499 * * [simplify]: Extracting #0: cost 1 inf + 0 7.499 * * [simplify]: Extracting #1: cost 9 inf + 0 7.500 * * [simplify]: Extracting #2: cost 17 inf + 1 7.500 * * [simplify]: Extracting #3: cost 22 inf + 1 7.500 * * [simplify]: Extracting #4: cost 18 inf + 205 7.500 * * [simplify]: Extracting #5: cost 12 inf + 771 7.500 * * [simplify]: Extracting #6: cost 5 inf + 2442 7.501 * * [simplify]: Extracting #7: cost 0 inf + 3991 7.501 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (fabs (cbrt 2))) (cbrt (cos th))) 7.501 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (fabs (cbrt 2))) (cbrt (cos th))) (/ (cbrt (cos th)) (/ (sqrt (cbrt 2)) (+ (* a1 a1) (* a2 a2)))))) 7.501 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt (cbrt 2)) (+ (* a1 a1) (* a2 a2)))) 7.501 * * [simplify]: iters left: 6 (13 enodes) 7.505 * * [simplify]: iters left: 5 (42 enodes) 7.512 * * [simplify]: iters left: 4 (55 enodes) 7.521 * * [simplify]: iters left: 3 (87 enodes) 7.545 * * [simplify]: iters left: 2 (122 enodes) 7.577 * * [simplify]: iters left: 1 (156 enodes) 7.618 * * [simplify]: Extracting #0: cost 1 inf + 0 7.618 * * [simplify]: Extracting #1: cost 10 inf + 0 7.618 * * [simplify]: Extracting #2: cost 41 inf + 0 7.619 * * [simplify]: Extracting #3: cost 58 inf + 84 7.619 * * [simplify]: Extracting #4: cost 43 inf + 1605 7.622 * * [simplify]: Extracting #5: cost 5 inf + 11575 7.626 * * [simplify]: Extracting #6: cost 0 inf + 13008 7.629 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (cbrt 2)) (+ (* a2 a2) (* a1 a1)))) 7.629 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (fabs (cbrt 2))) (cbrt (cos th))) (/ (cbrt (cos th)) (/ (sqrt (cbrt 2)) (+ (* a2 a2) (* a1 a1)))))) 7.629 * * * * [progress]: [ 62 / 178 ] simplifiying candidate # 7.630 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 7.630 * * [simplify]: iters left: 6 (16 enodes) 7.636 * * [simplify]: iters left: 5 (55 enodes) 7.646 * * [simplify]: iters left: 4 (76 enodes) 7.658 * * [simplify]: iters left: 3 (115 enodes) 7.691 * * [simplify]: iters left: 2 (165 enodes) 7.721 * * [simplify]: iters left: 1 (193 enodes) 7.770 * * [simplify]: Extracting #0: cost 1 inf + 0 7.770 * * [simplify]: Extracting #1: cost 25 inf + 0 7.771 * * [simplify]: Extracting #2: cost 51 inf + 0 7.771 * * [simplify]: Extracting #3: cost 58 inf + 0 7.771 * * [simplify]: Extracting #4: cost 57 inf + 185 7.771 * * [simplify]: Extracting #5: cost 41 inf + 2747 7.773 * * [simplify]: Extracting #6: cost 15 inf + 11559 7.776 * * [simplify]: Extracting #7: cost 1 inf + 17787 7.780 * * [simplify]: Extracting #8: cost 0 inf + 18291 7.783 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))))) 7.783 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 7.783 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 7.784 * * [simplify]: iters left: 6 (14 enodes) 7.787 * * [simplify]: iters left: 5 (45 enodes) 7.794 * * [simplify]: iters left: 4 (50 enodes) 7.805 * * [simplify]: iters left: 3 (54 enodes) 7.817 * * [simplify]: Extracting #0: cost 1 inf + 0 7.817 * * [simplify]: Extracting #1: cost 8 inf + 0 7.817 * * [simplify]: Extracting #2: cost 17 inf + 0 7.817 * * [simplify]: Extracting #3: cost 24 inf + 0 7.817 * * [simplify]: Extracting #4: cost 21 inf + 327 7.818 * * [simplify]: Extracting #5: cost 11 inf + 1299 7.818 * * [simplify]: Extracting #6: cost 3 inf + 3198 7.819 * * [simplify]: Extracting #7: cost 0 inf + 4408 7.819 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))) 7.819 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))))) 7.819 * * * * [progress]: [ 63 / 178 ] simplifiying candidate # 7.820 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 7.820 * * [simplify]: iters left: 6 (15 enodes) 7.824 * * [simplify]: iters left: 5 (50 enodes) 7.831 * * [simplify]: iters left: 4 (63 enodes) 7.841 * * [simplify]: iters left: 3 (82 enodes) 7.861 * * [simplify]: iters left: 2 (95 enodes) 7.888 * * [simplify]: iters left: 1 (100 enodes) 7.918 * * [simplify]: Extracting #0: cost 1 inf + 0 7.918 * * [simplify]: Extracting #1: cost 17 inf + 0 7.918 * * [simplify]: Extracting #2: cost 34 inf + 0 7.918 * * [simplify]: Extracting #3: cost 41 inf + 0 7.919 * * [simplify]: Extracting #4: cost 41 inf + 104 7.919 * * [simplify]: Extracting #5: cost 23 inf + 2748 7.920 * * [simplify]: Extracting #6: cost 11 inf + 5596 7.921 * * [simplify]: Extracting #7: cost 1 inf + 9571 7.923 * * [simplify]: Extracting #8: cost 0 inf + 9914 7.925 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2)) (cbrt (cos th))) (cbrt (cos th)))) 7.925 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2)) (cbrt (cos th))) (cbrt (cos th)))) (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 7.925 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 7.925 * * [simplify]: iters left: 6 (14 enodes) 7.929 * * [simplify]: iters left: 5 (45 enodes) 7.935 * * [simplify]: iters left: 4 (50 enodes) 7.943 * * [simplify]: iters left: 3 (54 enodes) 7.951 * * [simplify]: Extracting #0: cost 1 inf + 0 7.951 * * [simplify]: Extracting #1: cost 8 inf + 0 7.951 * * [simplify]: Extracting #2: cost 17 inf + 0 7.951 * * [simplify]: Extracting #3: cost 24 inf + 0 7.951 * * [simplify]: Extracting #4: cost 21 inf + 327 7.951 * * [simplify]: Extracting #5: cost 11 inf + 1299 7.952 * * [simplify]: Extracting #6: cost 3 inf + 2998 7.952 * * [simplify]: Extracting #7: cost 0 inf + 4088 7.953 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 7.953 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 7.953 * * * * [progress]: [ 64 / 178 ] simplifiying candidate # 7.953 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) 1)) 7.953 * * [simplify]: iters left: 6 (10 enodes) 7.956 * * [simplify]: iters left: 5 (34 enodes) 7.963 * * [simplify]: iters left: 4 (42 enodes) 7.971 * * [simplify]: iters left: 3 (56 enodes) 7.980 * * [simplify]: iters left: 2 (66 enodes) 7.996 * * [simplify]: iters left: 1 (73 enodes) 8.018 * * [simplify]: Extracting #0: cost 1 inf + 0 8.018 * * [simplify]: Extracting #1: cost 12 inf + 0 8.018 * * [simplify]: Extracting #2: cost 20 inf + 1 8.019 * * [simplify]: Extracting #3: cost 24 inf + 1 8.019 * * [simplify]: Extracting #4: cost 20 inf + 105 8.019 * * [simplify]: Extracting #5: cost 10 inf + 1397 8.020 * * [simplify]: Extracting #6: cost 1 inf + 3676 8.022 * * [simplify]: Extracting #7: cost 0 inf + 3978 8.023 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 8.023 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))) 8.023 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) 8.023 * * [simplify]: iters left: 6 (13 enodes) 8.030 * * [simplify]: iters left: 5 (42 enodes) 8.043 * * [simplify]: iters left: 4 (55 enodes) 8.060 * * [simplify]: iters left: 3 (87 enodes) 8.075 * * [simplify]: iters left: 2 (122 enodes) 8.091 * * [simplify]: iters left: 1 (156 enodes) 8.132 * * [simplify]: Extracting #0: cost 1 inf + 0 8.133 * * [simplify]: Extracting #1: cost 10 inf + 0 8.133 * * [simplify]: Extracting #2: cost 41 inf + 0 8.133 * * [simplify]: Extracting #3: cost 58 inf + 84 8.134 * * [simplify]: Extracting #4: cost 43 inf + 1285 8.136 * * [simplify]: Extracting #5: cost 5 inf + 10135 8.140 * * [simplify]: Extracting #6: cost 0 inf + 11488 8.144 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) 8.144 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))) 8.144 * * * * [progress]: [ 65 / 178 ] simplifiying candidate # 8.145 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 8.145 * * [simplify]: iters left: 6 (15 enodes) 8.153 * * [simplify]: iters left: 5 (54 enodes) 8.170 * * [simplify]: iters left: 4 (78 enodes) 8.195 * * [simplify]: iters left: 3 (141 enodes) 8.253 * * [simplify]: iters left: 2 (210 enodes) 8.318 * * [simplify]: iters left: 1 (299 enodes) 8.428 * * [simplify]: Extracting #0: cost 1 inf + 0 8.428 * * [simplify]: Extracting #1: cost 17 inf + 0 8.428 * * [simplify]: Extracting #2: cost 32 inf + 1 8.429 * * [simplify]: Extracting #3: cost 37 inf + 1 8.429 * * [simplify]: Extracting #4: cost 39 inf + 63 8.429 * * [simplify]: Extracting #5: cost 27 inf + 1257 8.430 * * [simplify]: Extracting #6: cost 10 inf + 6123 8.433 * * [simplify]: Extracting #7: cost 1 inf + 9651 8.436 * * [simplify]: Extracting #8: cost 0 inf + 9934 8.442 * [simplify]: Simplified to (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))) 8.442 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))) (/ (cbrt (cos th)) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))))) 8.442 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))) 8.442 * * [simplify]: iters left: 6 (13 enodes) 8.449 * * [simplify]: iters left: 5 (42 enodes) 8.456 * * [simplify]: iters left: 4 (47 enodes) 8.463 * * [simplify]: iters left: 3 (51 enodes) 8.470 * * [simplify]: Extracting #0: cost 1 inf + 0 8.471 * * [simplify]: Extracting #1: cost 8 inf + 0 8.471 * * [simplify]: Extracting #2: cost 17 inf + 0 8.471 * * [simplify]: Extracting #3: cost 21 inf + 1 8.471 * * [simplify]: Extracting #4: cost 23 inf + 43 8.471 * * [simplify]: Extracting #5: cost 18 inf + 188 8.471 * * [simplify]: Extracting #6: cost 11 inf + 957 8.471 * * [simplify]: Extracting #7: cost 4 inf + 2674 8.472 * * [simplify]: Extracting #8: cost 0 inf + 4006 8.472 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (sqrt 2))) 8.473 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (sqrt 2))))) 8.473 * * * * [progress]: [ 66 / 178 ] simplifiying candidate # 8.473 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 1) (sqrt (+ (* a1 a1) (* a2 a2))))) 8.473 * * [simplify]: iters left: 6 (14 enodes) 8.477 * * [simplify]: iters left: 5 (49 enodes) 8.490 * * [simplify]: iters left: 4 (62 enodes) 8.512 * * [simplify]: iters left: 3 (91 enodes) 8.526 * * [simplify]: iters left: 2 (106 enodes) 8.547 * * [simplify]: iters left: 1 (134 enodes) 8.577 * * [simplify]: Extracting #0: cost 1 inf + 0 8.577 * * [simplify]: Extracting #1: cost 11 inf + 0 8.577 * * [simplify]: Extracting #2: cost 20 inf + 1 8.577 * * [simplify]: Extracting #3: cost 25 inf + 1 8.577 * * [simplify]: Extracting #4: cost 26 inf + 124 8.577 * * [simplify]: Extracting #5: cost 17 inf + 1034 8.578 * * [simplify]: Extracting #6: cost 5 inf + 3280 8.579 * * [simplify]: Extracting #7: cost 1 inf + 4593 8.580 * * [simplify]: Extracting #8: cost 0 inf + 4936 8.581 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) 8.581 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))))) 8.581 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))) 8.581 * * [simplify]: iters left: 6 (13 enodes) 8.585 * * [simplify]: iters left: 5 (42 enodes) 8.594 * * [simplify]: iters left: 4 (47 enodes) 8.604 * * [simplify]: iters left: 3 (51 enodes) 8.619 * * [simplify]: Extracting #0: cost 1 inf + 0 8.619 * * [simplify]: Extracting #1: cost 8 inf + 0 8.619 * * [simplify]: Extracting #2: cost 17 inf + 0 8.619 * * [simplify]: Extracting #3: cost 21 inf + 1 8.619 * * [simplify]: Extracting #4: cost 23 inf + 43 8.619 * * [simplify]: Extracting #5: cost 18 inf + 188 8.619 * * [simplify]: Extracting #6: cost 11 inf + 957 8.620 * * [simplify]: Extracting #7: cost 4 inf + 2514 8.621 * * [simplify]: Extracting #8: cost 0 inf + 3686 8.622 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (sqrt 2))) 8.622 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (sqrt 2))))) 8.623 * * * * [progress]: [ 67 / 178 ] simplifiying candidate # 8.623 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 1) 1)) 8.623 * * [simplify]: iters left: 6 (8 enodes) 8.629 * * [simplify]: iters left: 5 (28 enodes) 8.638 * * [simplify]: iters left: 4 (34 enodes) 8.648 * * [simplify]: iters left: 3 (43 enodes) 8.655 * * [simplify]: iters left: 2 (51 enodes) 8.663 * * [simplify]: iters left: 1 (61 enodes) 8.672 * * [simplify]: Extracting #0: cost 1 inf + 0 8.672 * * [simplify]: Extracting #1: cost 6 inf + 0 8.672 * * [simplify]: Extracting #2: cost 9 inf + 1 8.672 * * [simplify]: Extracting #3: cost 11 inf + 1 8.672 * * [simplify]: Extracting #4: cost 10 inf + 2 8.672 * * [simplify]: Extracting #5: cost 1 inf + 1354 8.672 * * [simplify]: Extracting #6: cost 0 inf + 1576 8.673 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 8.673 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 8.673 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 8.673 * * [simplify]: iters left: 6 (12 enodes) 8.676 * * [simplify]: iters left: 5 (39 enodes) 8.687 * * [simplify]: iters left: 4 (52 enodes) 8.704 * * [simplify]: iters left: 3 (84 enodes) 8.732 * * [simplify]: iters left: 2 (119 enodes) 8.748 * * [simplify]: iters left: 1 (153 enodes) 8.771 * * [simplify]: Extracting #0: cost 1 inf + 0 8.771 * * [simplify]: Extracting #1: cost 10 inf + 0 8.771 * * [simplify]: Extracting #2: cost 41 inf + 0 8.771 * * [simplify]: Extracting #3: cost 52 inf + 330 8.772 * * [simplify]: Extracting #4: cost 38 inf + 1453 8.774 * * [simplify]: Extracting #5: cost 7 inf + 8288 8.778 * * [simplify]: Extracting #6: cost 0 inf + 9966 8.781 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 8.782 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) 8.782 * * * * [progress]: [ 68 / 178 ] simplifiying candidate # 8.782 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 8.782 * * [simplify]: iters left: 6 (16 enodes) 8.790 * * [simplify]: iters left: 5 (55 enodes) 8.798 * * [simplify]: iters left: 4 (76 enodes) 8.813 * * [simplify]: iters left: 3 (115 enodes) 8.831 * * [simplify]: iters left: 2 (165 enodes) 8.865 * * [simplify]: iters left: 1 (193 enodes) 8.904 * * [simplify]: Extracting #0: cost 1 inf + 0 8.904 * * [simplify]: Extracting #1: cost 25 inf + 0 8.904 * * [simplify]: Extracting #2: cost 51 inf + 0 8.904 * * [simplify]: Extracting #3: cost 58 inf + 0 8.904 * * [simplify]: Extracting #4: cost 57 inf + 185 8.905 * * [simplify]: Extracting #5: cost 41 inf + 2747 8.906 * * [simplify]: Extracting #6: cost 15 inf + 11559 8.910 * * [simplify]: Extracting #7: cost 1 inf + 17787 8.913 * * [simplify]: Extracting #8: cost 0 inf + 18291 8.917 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))))) 8.917 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 8.917 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 8.917 * * [simplify]: iters left: 6 (14 enodes) 8.920 * * [simplify]: iters left: 5 (45 enodes) 8.932 * * [simplify]: iters left: 4 (50 enodes) 8.946 * * [simplify]: iters left: 3 (54 enodes) 8.962 * * [simplify]: Extracting #0: cost 1 inf + 0 8.962 * * [simplify]: Extracting #1: cost 8 inf + 0 8.962 * * [simplify]: Extracting #2: cost 17 inf + 0 8.962 * * [simplify]: Extracting #3: cost 24 inf + 0 8.962 * * [simplify]: Extracting #4: cost 21 inf + 327 8.963 * * [simplify]: Extracting #5: cost 11 inf + 1299 8.963 * * [simplify]: Extracting #6: cost 3 inf + 3198 8.965 * * [simplify]: Extracting #7: cost 0 inf + 4408 8.966 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))) 8.966 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))))) 8.966 * * * * [progress]: [ 69 / 178 ] simplifiying candidate # 8.966 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 8.967 * * [simplify]: iters left: 6 (15 enodes) 8.974 * * [simplify]: iters left: 5 (50 enodes) 8.990 * * [simplify]: iters left: 4 (63 enodes) 9.005 * * [simplify]: iters left: 3 (82 enodes) 9.017 * * [simplify]: iters left: 2 (95 enodes) 9.031 * * [simplify]: iters left: 1 (100 enodes) 9.045 * * [simplify]: Extracting #0: cost 1 inf + 0 9.045 * * [simplify]: Extracting #1: cost 17 inf + 0 9.045 * * [simplify]: Extracting #2: cost 34 inf + 0 9.045 * * [simplify]: Extracting #3: cost 41 inf + 0 9.046 * * [simplify]: Extracting #4: cost 41 inf + 104 9.046 * * [simplify]: Extracting #5: cost 23 inf + 2748 9.047 * * [simplify]: Extracting #6: cost 11 inf + 5596 9.050 * * [simplify]: Extracting #7: cost 1 inf + 9571 9.053 * * [simplify]: Extracting #8: cost 0 inf + 9914 9.056 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2)) (cbrt (cos th))) (cbrt (cos th)))) 9.057 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2)) (cbrt (cos th))) (cbrt (cos th)))) (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 9.057 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 9.057 * * [simplify]: iters left: 6 (14 enodes) 9.064 * * [simplify]: iters left: 5 (45 enodes) 9.078 * * [simplify]: iters left: 4 (50 enodes) 9.092 * * [simplify]: iters left: 3 (54 enodes) 9.108 * * [simplify]: Extracting #0: cost 1 inf + 0 9.108 * * [simplify]: Extracting #1: cost 8 inf + 0 9.108 * * [simplify]: Extracting #2: cost 17 inf + 0 9.108 * * [simplify]: Extracting #3: cost 24 inf + 0 9.108 * * [simplify]: Extracting #4: cost 21 inf + 327 9.109 * * [simplify]: Extracting #5: cost 11 inf + 1299 9.110 * * [simplify]: Extracting #6: cost 3 inf + 2998 9.111 * * [simplify]: Extracting #7: cost 0 inf + 4088 9.112 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 9.112 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 9.112 * * * * [progress]: [ 70 / 178 ] simplifiying candidate # 9.115 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) 1)) 9.115 * * [simplify]: iters left: 6 (10 enodes) 9.120 * * [simplify]: iters left: 5 (34 enodes) 9.132 * * [simplify]: iters left: 4 (42 enodes) 9.146 * * [simplify]: iters left: 3 (56 enodes) 9.155 * * [simplify]: iters left: 2 (66 enodes) 9.165 * * [simplify]: iters left: 1 (73 enodes) 9.176 * * [simplify]: Extracting #0: cost 1 inf + 0 9.176 * * [simplify]: Extracting #1: cost 12 inf + 0 9.176 * * [simplify]: Extracting #2: cost 20 inf + 1 9.176 * * [simplify]: Extracting #3: cost 24 inf + 1 9.177 * * [simplify]: Extracting #4: cost 20 inf + 105 9.177 * * [simplify]: Extracting #5: cost 10 inf + 1397 9.177 * * [simplify]: Extracting #6: cost 1 inf + 3676 9.178 * * [simplify]: Extracting #7: cost 0 inf + 3978 9.179 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 9.179 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))) 9.179 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) 9.179 * * [simplify]: iters left: 6 (13 enodes) 9.182 * * [simplify]: iters left: 5 (42 enodes) 9.189 * * [simplify]: iters left: 4 (55 enodes) 9.198 * * [simplify]: iters left: 3 (87 enodes) 9.225 * * [simplify]: iters left: 2 (122 enodes) 9.252 * * [simplify]: iters left: 1 (156 enodes) 9.272 * * [simplify]: Extracting #0: cost 1 inf + 0 9.272 * * [simplify]: Extracting #1: cost 10 inf + 0 9.272 * * [simplify]: Extracting #2: cost 41 inf + 0 9.272 * * [simplify]: Extracting #3: cost 58 inf + 84 9.273 * * [simplify]: Extracting #4: cost 43 inf + 1285 9.274 * * [simplify]: Extracting #5: cost 5 inf + 10135 9.277 * * [simplify]: Extracting #6: cost 0 inf + 11488 9.281 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) 9.281 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))) 9.281 * * * * [progress]: [ 71 / 178 ] simplifiying candidate # 9.282 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ 1 (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 9.282 * * [simplify]: iters left: 6 (14 enodes) 9.289 * * [simplify]: iters left: 5 (51 enodes) 9.304 * * [simplify]: iters left: 4 (70 enodes) 9.328 * * [simplify]: iters left: 3 (122 enodes) 9.380 * * [simplify]: iters left: 2 (177 enodes) 9.456 * * [simplify]: iters left: 1 (266 enodes) 9.581 * * [simplify]: Extracting #0: cost 1 inf + 0 9.581 * * [simplify]: Extracting #1: cost 17 inf + 0 9.581 * * [simplify]: Extracting #2: cost 32 inf + 1 9.581 * * [simplify]: Extracting #3: cost 37 inf + 1 9.582 * * [simplify]: Extracting #4: cost 39 inf + 63 9.582 * * [simplify]: Extracting #5: cost 32 inf + 771 9.582 * * [simplify]: Extracting #6: cost 23 inf + 1864 9.584 * * [simplify]: Extracting #7: cost 4 inf + 8603 9.586 * * [simplify]: Extracting #8: cost 0 inf + 9934 9.589 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) 9.589 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))))) 9.589 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))) 9.589 * * [simplify]: iters left: 6 (13 enodes) 9.593 * * [simplify]: iters left: 5 (42 enodes) 9.599 * * [simplify]: iters left: 4 (47 enodes) 9.610 * * [simplify]: iters left: 3 (51 enodes) 9.619 * * [simplify]: Extracting #0: cost 1 inf + 0 9.619 * * [simplify]: Extracting #1: cost 8 inf + 0 9.620 * * [simplify]: Extracting #2: cost 17 inf + 0 9.620 * * [simplify]: Extracting #3: cost 21 inf + 1 9.620 * * [simplify]: Extracting #4: cost 23 inf + 43 9.620 * * [simplify]: Extracting #5: cost 18 inf + 188 9.620 * * [simplify]: Extracting #6: cost 11 inf + 957 9.620 * * [simplify]: Extracting #7: cost 4 inf + 2674 9.621 * * [simplify]: Extracting #8: cost 0 inf + 4006 9.622 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (sqrt 2))) 9.622 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ 1 (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (sqrt 2))))) 9.622 * * * * [progress]: [ 72 / 178 ] simplifiying candidate # 9.622 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 9.622 * * [simplify]: iters left: 6 (13 enodes) 9.625 * * [simplify]: iters left: 5 (46 enodes) 9.633 * * [simplify]: iters left: 4 (57 enodes) 9.645 * * [simplify]: iters left: 3 (86 enodes) 9.671 * * [simplify]: iters left: 2 (101 enodes) 9.702 * * [simplify]: iters left: 1 (130 enodes) 9.746 * * [simplify]: Extracting #0: cost 1 inf + 0 9.746 * * [simplify]: Extracting #1: cost 11 inf + 0 9.746 * * [simplify]: Extracting #2: cost 20 inf + 1 9.746 * * [simplify]: Extracting #3: cost 25 inf + 1 9.747 * * [simplify]: Extracting #4: cost 27 inf + 63 9.747 * * [simplify]: Extracting #5: cost 17 inf + 1075 9.748 * * [simplify]: Extracting #6: cost 10 inf + 1986 9.749 * * [simplify]: Extracting #7: cost 3 inf + 3966 9.751 * * [simplify]: Extracting #8: cost 0 inf + 4936 9.754 * [simplify]: Simplified to (* (cbrt (cos th)) (* (cbrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))) 9.754 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (* (cbrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))))) 9.754 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))) 9.754 * * [simplify]: iters left: 6 (13 enodes) 9.761 * * [simplify]: iters left: 5 (42 enodes) 9.776 * * [simplify]: iters left: 4 (47 enodes) 9.790 * * [simplify]: iters left: 3 (51 enodes) 9.804 * * [simplify]: Extracting #0: cost 1 inf + 0 9.805 * * [simplify]: Extracting #1: cost 8 inf + 0 9.805 * * [simplify]: Extracting #2: cost 17 inf + 0 9.805 * * [simplify]: Extracting #3: cost 21 inf + 1 9.805 * * [simplify]: Extracting #4: cost 23 inf + 43 9.805 * * [simplify]: Extracting #5: cost 18 inf + 188 9.805 * * [simplify]: Extracting #6: cost 11 inf + 957 9.806 * * [simplify]: Extracting #7: cost 4 inf + 2514 9.807 * * [simplify]: Extracting #8: cost 0 inf + 3686 9.808 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (sqrt 2))) 9.808 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (sqrt 2))))) 9.808 * * * * [progress]: [ 73 / 178 ] simplifiying candidate # 9.809 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ 1 1)) 9.809 * * [simplify]: iters left: 6 (7 enodes) 9.813 * * [simplify]: iters left: 5 (23 enodes) 9.819 * * [simplify]: iters left: 4 (29 enodes) 9.824 * * [simplify]: iters left: 3 (33 enodes) 9.828 * * [simplify]: iters left: 2 (34 enodes) 9.832 * * [simplify]: Extracting #0: cost 1 inf + 0 9.832 * * [simplify]: Extracting #1: cost 5 inf + 0 9.832 * * [simplify]: Extracting #2: cost 7 inf + 1 9.832 * * [simplify]: Extracting #3: cost 9 inf + 1 9.832 * * [simplify]: Extracting #4: cost 8 inf + 2 9.832 * * [simplify]: Extracting #5: cost 1 inf + 951 9.832 * * [simplify]: Extracting #6: cost 0 inf + 1132 9.833 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 9.833 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 9.833 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 9.833 * * [simplify]: iters left: 6 (12 enodes) 9.836 * * [simplify]: iters left: 5 (39 enodes) 9.842 * * [simplify]: iters left: 4 (52 enodes) 9.852 * * [simplify]: iters left: 3 (84 enodes) 9.877 * * [simplify]: iters left: 2 (119 enodes) 9.896 * * [simplify]: iters left: 1 (153 enodes) 9.916 * * [simplify]: Extracting #0: cost 1 inf + 0 9.916 * * [simplify]: Extracting #1: cost 10 inf + 0 9.916 * * [simplify]: Extracting #2: cost 41 inf + 0 9.917 * * [simplify]: Extracting #3: cost 52 inf + 330 9.917 * * [simplify]: Extracting #4: cost 38 inf + 1453 9.918 * * [simplify]: Extracting #5: cost 7 inf + 8288 9.920 * * [simplify]: Extracting #6: cost 0 inf + 9966 9.922 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 9.922 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) 9.922 * * * * [progress]: [ 74 / 178 ] simplifiying candidate # 9.922 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 9.922 * * [simplify]: iters left: 6 (6 enodes) 9.924 * * [simplify]: iters left: 5 (20 enodes) 9.928 * * [simplify]: iters left: 4 (30 enodes) 9.933 * * [simplify]: iters left: 3 (31 enodes) 9.942 * * [simplify]: Extracting #0: cost 1 inf + 0 9.942 * * [simplify]: Extracting #1: cost 5 inf + 0 9.942 * * [simplify]: Extracting #2: cost 7 inf + 1 9.942 * * [simplify]: Extracting #3: cost 9 inf + 1 9.942 * * [simplify]: Extracting #4: cost 8 inf + 2 9.942 * * [simplify]: Extracting #5: cost 0 inf + 1132 9.942 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 9.942 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 9.943 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 9.943 * * [simplify]: iters left: 6 (12 enodes) 9.949 * * [simplify]: iters left: 5 (39 enodes) 9.962 * * [simplify]: iters left: 4 (52 enodes) 9.973 * * [simplify]: iters left: 3 (84 enodes) 9.988 * * [simplify]: iters left: 2 (119 enodes) 10.014 * * [simplify]: iters left: 1 (153 enodes) 10.053 * * [simplify]: Extracting #0: cost 1 inf + 0 10.053 * * [simplify]: Extracting #1: cost 10 inf + 0 10.053 * * [simplify]: Extracting #2: cost 41 inf + 0 10.054 * * [simplify]: Extracting #3: cost 52 inf + 330 10.054 * * [simplify]: Extracting #4: cost 38 inf + 1453 10.056 * * [simplify]: Extracting #5: cost 7 inf + 8288 10.060 * * [simplify]: Extracting #6: cost 0 inf + 9966 10.063 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 10.063 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) 10.064 * * * * [progress]: [ 75 / 178 ] simplifiying candidate # 10.064 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) 10.064 * * [simplify]: iters left: 6 (7 enodes) 10.068 * * [simplify]: iters left: 5 (23 enodes) 10.072 * * [simplify]: iters left: 4 (27 enodes) 10.076 * * [simplify]: iters left: 3 (30 enodes) 10.081 * * [simplify]: Extracting #0: cost 1 inf + 0 10.081 * * [simplify]: Extracting #1: cost 7 inf + 0 10.081 * * [simplify]: Extracting #2: cost 14 inf + 0 10.081 * * [simplify]: Extracting #3: cost 14 inf + 42 10.081 * * [simplify]: Extracting #4: cost 12 inf + 84 10.081 * * [simplify]: Extracting #5: cost 10 inf + 206 10.081 * * [simplify]: Extracting #6: cost 3 inf + 1516 10.082 * * [simplify]: Extracting #7: cost 1 inf + 2000 10.082 * * [simplify]: Extracting #8: cost 0 inf + 2262 10.082 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (cbrt (cos th)))) 10.082 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (sqrt 2) (cbrt (cos th)))) (/ (cbrt (cos th)) (/ 1 (+ (* a1 a1) (* a2 a2)))))) 10.083 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ 1 (+ (* a1 a1) (* a2 a2)))) 10.083 * * [simplify]: iters left: 6 (11 enodes) 10.085 * * [simplify]: iters left: 5 (38 enodes) 10.091 * * [simplify]: iters left: 4 (53 enodes) 10.103 * * [simplify]: iters left: 3 (83 enodes) 10.115 * * [simplify]: iters left: 2 (111 enodes) 10.133 * * [simplify]: iters left: 1 (148 enodes) 10.176 * * [simplify]: Extracting #0: cost 1 inf + 0 10.176 * * [simplify]: Extracting #1: cost 10 inf + 0 10.176 * * [simplify]: Extracting #2: cost 38 inf + 1 10.177 * * [simplify]: Extracting #3: cost 40 inf + 617 10.178 * * [simplify]: Extracting #4: cost 23 inf + 1868 10.180 * * [simplify]: Extracting #5: cost 1 inf + 6036 10.182 * * [simplify]: Extracting #6: cost 0 inf + 6259 10.185 * [simplify]: Simplified to (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) 10.185 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))))) 10.185 * * * * [progress]: [ 76 / 178 ] simplifiying candidate # 10.185 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))) 10.186 * * [simplify]: iters left: 6 (16 enodes) 10.195 * * [simplify]: iters left: 5 (69 enodes) 10.213 * * [simplify]: iters left: 4 (143 enodes) 10.247 * * [simplify]: iters left: 3 (337 enodes) 10.418 * * [simplify]: Extracting #0: cost 1 inf + 0 10.418 * * [simplify]: Extracting #1: cost 20 inf + 0 10.419 * * [simplify]: Extracting #2: cost 112 inf + 0 10.421 * * [simplify]: Extracting #3: cost 270 inf + 329 10.427 * * [simplify]: Extracting #4: cost 192 inf + 20786 10.447 * * [simplify]: Extracting #5: cost 23 inf + 87302 10.474 * * [simplify]: Extracting #6: cost 2 inf + 96497 10.501 * * [simplify]: Extracting #7: cost 0 inf + 97001 10.528 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))))) 10.529 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))))) (/ (cbrt (cos th)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))) 10.529 * [simplify]: Simplifying (/ (cbrt (cos th)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) 10.529 * * [simplify]: iters left: 6 (13 enodes) 10.536 * * [simplify]: iters left: 5 (61 enodes) 10.564 * * [simplify]: iters left: 4 (128 enodes) 10.614 * * [simplify]: iters left: 3 (244 enodes) 10.687 * * [simplify]: iters left: 2 (376 enodes) 10.863 * * [simplify]: Extracting #0: cost 1 inf + 0 10.863 * * [simplify]: Extracting #1: cost 4 inf + 0 10.864 * * [simplify]: Extracting #2: cost 25 inf + 0 10.864 * * [simplify]: Extracting #3: cost 153 inf + 0 10.866 * * [simplify]: Extracting #4: cost 213 inf + 956 10.871 * * [simplify]: Extracting #5: cost 107 inf + 16873 10.884 * * [simplify]: Extracting #6: cost 10 inf + 33967 10.903 * * [simplify]: Extracting #7: cost 0 inf + 35727 10.917 * [simplify]: Simplified to (/ (cbrt (cos th)) (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))) 10.917 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))))) (/ (cbrt (cos th)) (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))) 10.917 * * * * [progress]: [ 77 / 178 ] simplifiying candidate # 10.918 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 10.918 * * [simplify]: iters left: 6 (15 enodes) 10.928 * * [simplify]: iters left: 5 (62 enodes) 10.950 * * [simplify]: iters left: 4 (115 enodes) 10.997 * * [simplify]: iters left: 3 (292 enodes) 11.137 * * [simplify]: Extracting #0: cost 1 inf + 0 11.137 * * [simplify]: Extracting #1: cost 62 inf + 0 11.137 * * [simplify]: Extracting #2: cost 269 inf + 0 11.139 * * [simplify]: Extracting #3: cost 342 inf + 1827 11.144 * * [simplify]: Extracting #4: cost 205 inf + 34906 11.165 * * [simplify]: Extracting #5: cost 16 inf + 101049 11.211 * * [simplify]: Extracting #6: cost 0 inf + 107239 11.231 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 11.231 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (cos th)) (- (* a1 a1) (* a2 a2))))) 11.232 * [simplify]: Simplifying (/ (cbrt (cos th)) (- (* a1 a1) (* a2 a2))) 11.232 * * [simplify]: iters left: 6 (9 enodes) 11.234 * * [simplify]: iters left: 5 (32 enodes) 11.239 * * [simplify]: iters left: 4 (47 enodes) 11.246 * * [simplify]: iters left: 3 (66 enodes) 11.261 * * [simplify]: iters left: 2 (107 enodes) 11.281 * * [simplify]: iters left: 1 (190 enodes) 11.327 * * [simplify]: Extracting #0: cost 1 inf + 0 11.328 * * [simplify]: Extracting #1: cost 6 inf + 0 11.328 * * [simplify]: Extracting #2: cost 33 inf + 0 11.328 * * [simplify]: Extracting #3: cost 62 inf + 84 11.329 * * [simplify]: Extracting #4: cost 30 inf + 3242 11.330 * * [simplify]: Extracting #5: cost 4 inf + 6373 11.332 * * [simplify]: Extracting #6: cost 0 inf + 7082 11.334 * [simplify]: Simplified to (/ (cbrt (cos th)) (- (* a1 a1) (* a2 a2))) 11.334 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (cos th)) (- (* a1 a1) (* a2 a2))))) 11.334 * * * * [progress]: [ 78 / 178 ] simplifiying candidate # 11.334 * [simplify]: Simplifying (/ (sqrt (cos th)) (* (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 11.334 * * [simplify]: iters left: 6 (14 enodes) 11.338 * * [simplify]: iters left: 5 (45 enodes) 11.345 * * [simplify]: iters left: 4 (47 enodes) 11.357 * * [simplify]: Extracting #0: cost 1 inf + 0 11.357 * * [simplify]: Extracting #1: cost 6 inf + 0 11.357 * * [simplify]: Extracting #2: cost 12 inf + 0 11.357 * * [simplify]: Extracting #3: cost 17 inf + 0 11.357 * * [simplify]: Extracting #4: cost 21 inf + 1 11.357 * * [simplify]: Extracting #5: cost 22 inf + 124 11.357 * * [simplify]: Extracting #6: cost 16 inf + 410 11.357 * * [simplify]: Extracting #7: cost 11 inf + 696 11.358 * * [simplify]: Extracting #8: cost 4 inf + 2577 11.359 * * [simplify]: Extracting #9: cost 0 inf + 4212 11.361 * [simplify]: Simplified to (/ (sqrt (cos th)) (* (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) 11.361 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cos th)) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 11.361 * [simplify]: Simplifying (/ (sqrt (cos th)) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 11.361 * * [simplify]: iters left: 6 (13 enodes) 11.368 * * [simplify]: iters left: 5 (40 enodes) 11.379 * * [simplify]: Extracting #0: cost 1 inf + 0 11.379 * * [simplify]: Extracting #1: cost 4 inf + 0 11.380 * * [simplify]: Extracting #2: cost 8 inf + 0 11.380 * * [simplify]: Extracting #3: cost 13 inf + 0 11.380 * * [simplify]: Extracting #4: cost 17 inf + 1 11.380 * * [simplify]: Extracting #5: cost 19 inf + 63 11.380 * * [simplify]: Extracting #6: cost 12 inf + 410 11.380 * * [simplify]: Extracting #7: cost 9 inf + 614 11.381 * * [simplify]: Extracting #8: cost 4 inf + 1304 11.381 * * [simplify]: Extracting #9: cost 1 inf + 2214 11.382 * * [simplify]: Extracting #10: cost 0 inf + 2638 11.383 * [simplify]: Simplified to (/ (sqrt (cos th)) (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) 11.383 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cos th)) (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))))) 11.383 * * * * [progress]: [ 79 / 178 ] simplifiying candidate # 11.383 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 11.383 * * [simplify]: iters left: 6 (13 enodes) 11.390 * * [simplify]: iters left: 5 (40 enodes) 11.404 * * [simplify]: Extracting #0: cost 1 inf + 0 11.404 * * [simplify]: Extracting #1: cost 4 inf + 0 11.404 * * [simplify]: Extracting #2: cost 8 inf + 0 11.404 * * [simplify]: Extracting #3: cost 13 inf + 0 11.404 * * [simplify]: Extracting #4: cost 17 inf + 1 11.405 * * [simplify]: Extracting #5: cost 19 inf + 63 11.405 * * [simplify]: Extracting #6: cost 12 inf + 410 11.405 * * [simplify]: Extracting #7: cost 9 inf + 614 11.405 * * [simplify]: Extracting #8: cost 4 inf + 1264 11.406 * * [simplify]: Extracting #9: cost 1 inf + 2094 11.407 * * [simplify]: Extracting #10: cost 0 inf + 2478 11.407 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) 11.408 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (sqrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cos th)) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 11.408 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 11.408 * * [simplify]: iters left: 6 (13 enodes) 11.415 * * [simplify]: iters left: 5 (40 enodes) 11.427 * * [simplify]: Extracting #0: cost 1 inf + 0 11.427 * * [simplify]: Extracting #1: cost 4 inf + 0 11.427 * * [simplify]: Extracting #2: cost 8 inf + 0 11.427 * * [simplify]: Extracting #3: cost 13 inf + 0 11.428 * * [simplify]: Extracting #4: cost 17 inf + 1 11.428 * * [simplify]: Extracting #5: cost 19 inf + 63 11.428 * * [simplify]: Extracting #6: cost 12 inf + 410 11.428 * * [simplify]: Extracting #7: cost 9 inf + 614 11.429 * * [simplify]: Extracting #8: cost 4 inf + 1264 11.429 * * [simplify]: Extracting #9: cost 1 inf + 2094 11.430 * * [simplify]: Extracting #10: cost 0 inf + 2478 11.431 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) 11.431 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cos th)) (sqrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))))) 11.431 * * * * [progress]: [ 80 / 178 ] simplifiying candidate # 11.431 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 11.431 * * [simplify]: iters left: 6 (16 enodes) 11.440 * * [simplify]: iters left: 5 (57 enodes) 11.451 * * [simplify]: iters left: 4 (86 enodes) 11.465 * * [simplify]: iters left: 3 (123 enodes) 11.493 * * [simplify]: iters left: 2 (153 enodes) 11.518 * * [simplify]: iters left: 1 (188 enodes) 11.570 * * [simplify]: Extracting #0: cost 1 inf + 0 11.570 * * [simplify]: Extracting #1: cost 29 inf + 0 11.570 * * [simplify]: Extracting #2: cost 54 inf + 0 11.571 * * [simplify]: Extracting #3: cost 61 inf + 0 11.572 * * [simplify]: Extracting #4: cost 57 inf + 548 11.573 * * [simplify]: Extracting #5: cost 44 inf + 2707 11.575 * * [simplify]: Extracting #6: cost 22 inf + 10006 11.582 * * [simplify]: Extracting #7: cost 3 inf + 17907 11.590 * * [simplify]: Extracting #8: cost 0 inf + 19157 11.597 * [simplify]: Simplified to (* (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))) (sqrt (cos th))) 11.597 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))) (sqrt (cos th))) (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 11.598 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 11.598 * * [simplify]: iters left: 6 (14 enodes) 11.605 * * [simplify]: iters left: 5 (45 enodes) 11.618 * * [simplify]: iters left: 4 (50 enodes) 11.635 * * [simplify]: iters left: 3 (54 enodes) 11.650 * * [simplify]: Extracting #0: cost 1 inf + 0 11.650 * * [simplify]: Extracting #1: cost 8 inf + 0 11.650 * * [simplify]: Extracting #2: cost 17 inf + 0 11.650 * * [simplify]: Extracting #3: cost 24 inf + 0 11.651 * * [simplify]: Extracting #4: cost 21 inf + 407 11.651 * * [simplify]: Extracting #5: cost 11 inf + 1299 11.652 * * [simplify]: Extracting #6: cost 3 inf + 3198 11.653 * * [simplify]: Extracting #7: cost 0 inf + 4408 11.654 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))) 11.654 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))))) 11.654 * * * * [progress]: [ 81 / 178 ] simplifiying candidate # 11.655 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 11.655 * * [simplify]: iters left: 6 (15 enodes) 11.662 * * [simplify]: iters left: 5 (50 enodes) 11.678 * * [simplify]: iters left: 4 (62 enodes) 11.697 * * [simplify]: iters left: 3 (81 enodes) 11.715 * * [simplify]: iters left: 2 (87 enodes) 11.727 * * [simplify]: iters left: 1 (95 enodes) 11.741 * * [simplify]: Extracting #0: cost 1 inf + 0 11.741 * * [simplify]: Extracting #1: cost 16 inf + 0 11.741 * * [simplify]: Extracting #2: cost 32 inf + 0 11.742 * * [simplify]: Extracting #3: cost 39 inf + 0 11.742 * * [simplify]: Extracting #4: cost 37 inf + 266 11.743 * * [simplify]: Extracting #5: cost 24 inf + 2364 11.744 * * [simplify]: Extracting #6: cost 11 inf + 4627 11.747 * * [simplify]: Extracting #7: cost 2 inf + 8198 11.749 * * [simplify]: Extracting #8: cost 0 inf + 8824 11.750 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (cos th))))) 11.750 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (cos th))))) (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 11.751 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 11.751 * * [simplify]: iters left: 6 (14 enodes) 11.754 * * [simplify]: iters left: 5 (45 enodes) 11.761 * * [simplify]: iters left: 4 (50 enodes) 11.768 * * [simplify]: iters left: 3 (54 enodes) 11.777 * * [simplify]: Extracting #0: cost 1 inf + 0 11.777 * * [simplify]: Extracting #1: cost 8 inf + 0 11.777 * * [simplify]: Extracting #2: cost 17 inf + 0 11.777 * * [simplify]: Extracting #3: cost 24 inf + 0 11.777 * * [simplify]: Extracting #4: cost 21 inf + 407 11.778 * * [simplify]: Extracting #5: cost 11 inf + 1299 11.779 * * [simplify]: Extracting #6: cost 3 inf + 2998 11.780 * * [simplify]: Extracting #7: cost 0 inf + 4088 11.781 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 11.781 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 11.781 * * * * [progress]: [ 82 / 178 ] simplifiying candidate # 11.781 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) 11.782 * * [simplify]: iters left: 6 (10 enodes) 11.787 * * [simplify]: iters left: 5 (34 enodes) 11.800 * * [simplify]: iters left: 4 (49 enodes) 11.815 * * [simplify]: iters left: 3 (62 enodes) 11.835 * * [simplify]: iters left: 2 (73 enodes) 11.858 * * [simplify]: iters left: 1 (88 enodes) 11.888 * * [simplify]: Extracting #0: cost 1 inf + 0 11.889 * * [simplify]: Extracting #1: cost 11 inf + 0 11.889 * * [simplify]: Extracting #2: cost 20 inf + 1 11.889 * * [simplify]: Extracting #3: cost 24 inf + 1 11.889 * * [simplify]: Extracting #4: cost 19 inf + 226 11.890 * * [simplify]: Extracting #5: cost 6 inf + 2425 11.891 * * [simplify]: Extracting #6: cost 1 inf + 3755 11.893 * * [simplify]: Extracting #7: cost 0 inf + 3957 11.894 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 11.894 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))) 11.895 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) 11.895 * * [simplify]: iters left: 6 (13 enodes) 11.901 * * [simplify]: iters left: 5 (42 enodes) 11.914 * * [simplify]: iters left: 4 (55 enodes) 11.932 * * [simplify]: iters left: 3 (87 enodes) 11.959 * * [simplify]: iters left: 2 (122 enodes) 11.990 * * [simplify]: iters left: 1 (156 enodes) 12.031 * * [simplify]: Extracting #0: cost 1 inf + 0 12.031 * * [simplify]: Extracting #1: cost 10 inf + 0 12.031 * * [simplify]: Extracting #2: cost 41 inf + 0 12.031 * * [simplify]: Extracting #3: cost 58 inf + 84 12.031 * * [simplify]: Extracting #4: cost 43 inf + 1525 12.033 * * [simplify]: Extracting #5: cost 5 inf + 10495 12.035 * * [simplify]: Extracting #6: cost 0 inf + 11728 12.036 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) 12.037 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))) 12.037 * * * * [progress]: [ 83 / 178 ] simplifiying candidate # 12.037 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 12.037 * * [simplify]: iters left: 6 (16 enodes) 12.041 * * [simplify]: iters left: 5 (54 enodes) 12.050 * * [simplify]: iters left: 4 (65 enodes) 12.059 * * [simplify]: iters left: 3 (77 enodes) 12.070 * * [simplify]: iters left: 2 (85 enodes) 12.082 * * [simplify]: iters left: 1 (91 enodes) 12.105 * * [simplify]: Extracting #0: cost 1 inf + 0 12.105 * * [simplify]: Extracting #1: cost 14 inf + 0 12.105 * * [simplify]: Extracting #2: cost 30 inf + 0 12.105 * * [simplify]: Extracting #3: cost 38 inf + 0 12.105 * * [simplify]: Extracting #4: cost 35 inf + 447 12.105 * * [simplify]: Extracting #5: cost 26 inf + 1277 12.106 * * [simplify]: Extracting #6: cost 20 inf + 2186 12.106 * * [simplify]: Extracting #7: cost 15 inf + 3479 12.108 * * [simplify]: Extracting #8: cost 1 inf + 8862 12.109 * * [simplify]: Extracting #9: cost 0 inf + 9406 12.111 * [simplify]: Simplified to (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cos th)) (fabs (cbrt 2)))) 12.111 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cos th)) (fabs (cbrt 2)))) (/ (sqrt (cos th)) (/ (sqrt (cbrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 12.111 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (cbrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 12.111 * * [simplify]: iters left: 6 (14 enodes) 12.116 * * [simplify]: iters left: 5 (45 enodes) 12.123 * * [simplify]: iters left: 4 (50 enodes) 12.131 * * [simplify]: iters left: 3 (54 enodes) 12.143 * * [simplify]: Extracting #0: cost 1 inf + 0 12.143 * * [simplify]: Extracting #1: cost 8 inf + 0 12.143 * * [simplify]: Extracting #2: cost 17 inf + 0 12.143 * * [simplify]: Extracting #3: cost 24 inf + 0 12.143 * * [simplify]: Extracting #4: cost 21 inf + 447 12.143 * * [simplify]: Extracting #5: cost 11 inf + 1379 12.145 * * [simplify]: Extracting #6: cost 3 inf + 3278 12.146 * * [simplify]: Extracting #7: cost 0 inf + 4488 12.147 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (cbrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))) 12.147 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (cos th)) (sqrt (cbrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))))) 12.147 * * * * [progress]: [ 84 / 178 ] simplifiying candidate # 12.148 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 12.148 * * [simplify]: iters left: 6 (15 enodes) 12.155 * * [simplify]: iters left: 5 (49 enodes) 12.169 * * [simplify]: iters left: 4 (54 enodes) 12.185 * * [simplify]: iters left: 3 (58 enodes) 12.202 * * [simplify]: Extracting #0: cost 1 inf + 0 12.202 * * [simplify]: Extracting #1: cost 8 inf + 0 12.202 * * [simplify]: Extracting #2: cost 18 inf + 0 12.203 * * [simplify]: Extracting #3: cost 26 inf + 0 12.203 * * [simplify]: Extracting #4: cost 23 inf + 407 12.203 * * [simplify]: Extracting #5: cost 13 inf + 1318 12.204 * * [simplify]: Extracting #6: cost 5 inf + 2553 12.206 * * [simplify]: Extracting #7: cost 0 inf + 4410 12.207 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (fabs (cbrt 2)))) 12.207 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (fabs (cbrt 2)))) (/ (sqrt (cos th)) (/ (sqrt (cbrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 12.207 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (cbrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 12.208 * * [simplify]: iters left: 6 (14 enodes) 12.214 * * [simplify]: iters left: 5 (45 enodes) 12.227 * * [simplify]: iters left: 4 (50 enodes) 12.242 * * [simplify]: iters left: 3 (54 enodes) 12.259 * * [simplify]: Extracting #0: cost 1 inf + 0 12.259 * * [simplify]: Extracting #1: cost 8 inf + 0 12.259 * * [simplify]: Extracting #2: cost 17 inf + 0 12.259 * * [simplify]: Extracting #3: cost 24 inf + 0 12.259 * * [simplify]: Extracting #4: cost 21 inf + 447 12.260 * * [simplify]: Extracting #5: cost 11 inf + 1379 12.261 * * [simplify]: Extracting #6: cost 3 inf + 3078 12.262 * * [simplify]: Extracting #7: cost 0 inf + 4168 12.263 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (cbrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 12.263 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (cbrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 12.263 * * * * [progress]: [ 85 / 178 ] simplifiying candidate # 12.263 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (* (cbrt 2) (cbrt 2))) 1)) 12.264 * * [simplify]: iters left: 6 (10 enodes) 12.269 * * [simplify]: iters left: 5 (32 enodes) 12.279 * * [simplify]: iters left: 4 (38 enodes) 12.290 * * [simplify]: iters left: 3 (42 enodes) 12.302 * * [simplify]: iters left: 2 (44 enodes) 12.314 * * [simplify]: iters left: 1 (49 enodes) 12.328 * * [simplify]: Extracting #0: cost 1 inf + 0 12.328 * * [simplify]: Extracting #1: cost 8 inf + 0 12.328 * * [simplify]: Extracting #2: cost 14 inf + 1 12.328 * * [simplify]: Extracting #3: cost 19 inf + 1 12.328 * * [simplify]: Extracting #4: cost 17 inf + 3 12.328 * * [simplify]: Extracting #5: cost 9 inf + 872 12.329 * * [simplify]: Extracting #6: cost 0 inf + 2547 12.330 * [simplify]: Simplified to (/ (sqrt (cos th)) (fabs (cbrt 2))) 12.330 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (/ (sqrt (cos th)) (/ (sqrt (cbrt 2)) (+ (* a1 a1) (* a2 a2)))))) 12.331 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (cbrt 2)) (+ (* a1 a1) (* a2 a2)))) 12.331 * * [simplify]: iters left: 6 (13 enodes) 12.337 * * [simplify]: iters left: 5 (42 enodes) 12.349 * * [simplify]: iters left: 4 (55 enodes) 12.368 * * [simplify]: iters left: 3 (87 enodes) 12.393 * * [simplify]: iters left: 2 (122 enodes) 12.427 * * [simplify]: iters left: 1 (156 enodes) 12.450 * * [simplify]: Extracting #0: cost 1 inf + 0 12.450 * * [simplify]: Extracting #1: cost 10 inf + 0 12.450 * * [simplify]: Extracting #2: cost 41 inf + 0 12.450 * * [simplify]: Extracting #3: cost 58 inf + 84 12.450 * * [simplify]: Extracting #4: cost 43 inf + 1605 12.452 * * [simplify]: Extracting #5: cost 5 inf + 10575 12.453 * * [simplify]: Extracting #6: cost 0 inf + 11808 12.455 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (sqrt (cbrt 2)) (+ (* a2 a2) (* a1 a1)))) 12.455 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (/ (sqrt (cos th)) (/ (sqrt (cbrt 2)) (+ (* a2 a2) (* a1 a1)))))) 12.456 * * * * [progress]: [ 86 / 178 ] simplifiying candidate # 12.456 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 12.456 * * [simplify]: iters left: 6 (15 enodes) 12.460 * * [simplify]: iters left: 5 (50 enodes) 12.468 * * [simplify]: iters left: 4 (61 enodes) 12.486 * * [simplify]: iters left: 3 (73 enodes) 12.504 * * [simplify]: iters left: 2 (81 enodes) 12.528 * * [simplify]: iters left: 1 (87 enodes) 12.545 * * [simplify]: Extracting #0: cost 1 inf + 0 12.545 * * [simplify]: Extracting #1: cost 14 inf + 0 12.545 * * [simplify]: Extracting #2: cost 29 inf + 0 12.545 * * [simplify]: Extracting #3: cost 36 inf + 0 12.545 * * [simplify]: Extracting #4: cost 35 inf + 185 12.546 * * [simplify]: Extracting #5: cost 23 inf + 1320 12.546 * * [simplify]: Extracting #6: cost 20 inf + 1624 12.546 * * [simplify]: Extracting #7: cost 13 inf + 3461 12.548 * * [simplify]: Extracting #8: cost 1 inf + 8121 12.549 * * [simplify]: Extracting #9: cost 0 inf + 8444 12.550 * [simplify]: Simplified to (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (cbrt (+ (* a2 a2) (* a1 a1)))) 12.550 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 12.551 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 12.551 * * [simplify]: iters left: 6 (14 enodes) 12.554 * * [simplify]: iters left: 5 (45 enodes) 12.561 * * [simplify]: iters left: 4 (50 enodes) 12.571 * * [simplify]: iters left: 3 (54 enodes) 12.584 * * [simplify]: Extracting #0: cost 1 inf + 0 12.584 * * [simplify]: Extracting #1: cost 8 inf + 0 12.584 * * [simplify]: Extracting #2: cost 17 inf + 0 12.584 * * [simplify]: Extracting #3: cost 24 inf + 0 12.584 * * [simplify]: Extracting #4: cost 21 inf + 327 12.584 * * [simplify]: Extracting #5: cost 11 inf + 1139 12.584 * * [simplify]: Extracting #6: cost 3 inf + 2958 12.585 * * [simplify]: Extracting #7: cost 0 inf + 4088 12.586 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))) 12.586 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))))) 12.586 * * * * [progress]: [ 87 / 178 ] simplifiying candidate # 12.586 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 12.586 * * [simplify]: iters left: 6 (14 enodes) 12.589 * * [simplify]: iters left: 5 (45 enodes) 12.596 * * [simplify]: iters left: 4 (50 enodes) 12.603 * * [simplify]: iters left: 3 (54 enodes) 12.613 * * [simplify]: Extracting #0: cost 1 inf + 0 12.613 * * [simplify]: Extracting #1: cost 8 inf + 0 12.613 * * [simplify]: Extracting #2: cost 17 inf + 0 12.613 * * [simplify]: Extracting #3: cost 24 inf + 0 12.614 * * [simplify]: Extracting #4: cost 21 inf + 327 12.614 * * [simplify]: Extracting #5: cost 11 inf + 1139 12.614 * * [simplify]: Extracting #6: cost 3 inf + 2758 12.616 * * [simplify]: Extracting #7: cost 0 inf + 3768 12.617 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 12.617 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 12.617 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 12.617 * * [simplify]: iters left: 6 (14 enodes) 12.624 * * [simplify]: iters left: 5 (45 enodes) 12.638 * * [simplify]: iters left: 4 (50 enodes) 12.653 * * [simplify]: iters left: 3 (54 enodes) 12.668 * * [simplify]: Extracting #0: cost 1 inf + 0 12.668 * * [simplify]: Extracting #1: cost 8 inf + 0 12.668 * * [simplify]: Extracting #2: cost 17 inf + 0 12.668 * * [simplify]: Extracting #3: cost 24 inf + 0 12.668 * * [simplify]: Extracting #4: cost 21 inf + 327 12.669 * * [simplify]: Extracting #5: cost 11 inf + 1139 12.670 * * [simplify]: Extracting #6: cost 3 inf + 2758 12.671 * * [simplify]: Extracting #7: cost 0 inf + 3768 12.672 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 12.672 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 12.672 * * * * [progress]: [ 88 / 178 ] simplifiying candidate # 12.672 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) 1)) 12.673 * * [simplify]: iters left: 6 (9 enodes) 12.678 * * [simplify]: iters left: 5 (29 enodes) 12.688 * * [simplify]: iters left: 4 (33 enodes) 12.698 * * [simplify]: iters left: 3 (38 enodes) 12.709 * * [simplify]: iters left: 2 (40 enodes) 12.715 * * [simplify]: iters left: 1 (43 enodes) 12.721 * * [simplify]: Extracting #0: cost 1 inf + 0 12.721 * * [simplify]: Extracting #1: cost 6 inf + 0 12.721 * * [simplify]: Extracting #2: cost 10 inf + 1 12.721 * * [simplify]: Extracting #3: cost 14 inf + 1 12.721 * * [simplify]: Extracting #4: cost 12 inf + 3 12.721 * * [simplify]: Extracting #5: cost 8 inf + 247 12.721 * * [simplify]: Extracting #6: cost 0 inf + 1459 12.721 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 12.721 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))) 12.722 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) 12.722 * * [simplify]: iters left: 6 (13 enodes) 12.725 * * [simplify]: iters left: 5 (42 enodes) 12.731 * * [simplify]: iters left: 4 (55 enodes) 12.745 * * [simplify]: iters left: 3 (87 enodes) 12.771 * * [simplify]: iters left: 2 (122 enodes) 12.789 * * [simplify]: iters left: 1 (156 enodes) 12.816 * * [simplify]: Extracting #0: cost 1 inf + 0 12.816 * * [simplify]: Extracting #1: cost 10 inf + 0 12.817 * * [simplify]: Extracting #2: cost 41 inf + 0 12.817 * * [simplify]: Extracting #3: cost 58 inf + 84 12.818 * * [simplify]: Extracting #4: cost 43 inf + 1285 12.820 * * [simplify]: Extracting #5: cost 5 inf + 9135 12.824 * * [simplify]: Extracting #6: cost 0 inf + 10288 12.828 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) 12.828 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))) 12.828 * * * * [progress]: [ 89 / 178 ] simplifiying candidate # 12.829 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 12.829 * * [simplify]: iters left: 6 (14 enodes) 12.836 * * [simplify]: iters left: 5 (49 enodes) 12.851 * * [simplify]: iters left: 4 (63 enodes) 12.874 * * [simplify]: iters left: 3 (87 enodes) 12.900 * * [simplify]: iters left: 2 (105 enodes) 12.923 * * [simplify]: iters left: 1 (130 enodes) 12.949 * * [simplify]: Extracting #0: cost 1 inf + 0 12.949 * * [simplify]: Extracting #1: cost 11 inf + 0 12.949 * * [simplify]: Extracting #2: cost 20 inf + 1 12.949 * * [simplify]: Extracting #3: cost 25 inf + 1 12.950 * * [simplify]: Extracting #4: cost 26 inf + 124 12.950 * * [simplify]: Extracting #5: cost 20 inf + 511 12.950 * * [simplify]: Extracting #6: cost 15 inf + 898 12.951 * * [simplify]: Extracting #7: cost 5 inf + 3585 12.954 * * [simplify]: Extracting #8: cost 0 inf + 5180 12.956 * [simplify]: Simplified to (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))) 12.956 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))) (/ (sqrt (cos th)) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))))) 12.956 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))) 12.957 * * [simplify]: iters left: 6 (13 enodes) 12.963 * * [simplify]: iters left: 5 (42 enodes) 12.977 * * [simplify]: iters left: 4 (47 enodes) 12.994 * * [simplify]: iters left: 3 (51 enodes) 13.004 * * [simplify]: Extracting #0: cost 1 inf + 0 13.004 * * [simplify]: Extracting #1: cost 8 inf + 0 13.004 * * [simplify]: Extracting #2: cost 17 inf + 0 13.004 * * [simplify]: Extracting #3: cost 21 inf + 1 13.004 * * [simplify]: Extracting #4: cost 23 inf + 43 13.004 * * [simplify]: Extracting #5: cost 18 inf + 188 13.004 * * [simplify]: Extracting #6: cost 11 inf + 837 13.005 * * [simplify]: Extracting #7: cost 4 inf + 2434 13.005 * * [simplify]: Extracting #8: cost 0 inf + 3686 13.006 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt 2))) 13.006 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (sqrt 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt 2))))) 13.006 * * * * [progress]: [ 90 / 178 ] simplifiying candidate # 13.006 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt 1) (sqrt (+ (* a1 a1) (* a2 a2))))) 13.006 * * [simplify]: iters left: 6 (13 enodes) 13.010 * * [simplify]: iters left: 5 (44 enodes) 13.017 * * [simplify]: iters left: 4 (49 enodes) 13.025 * * [simplify]: iters left: 3 (57 enodes) 13.040 * * [simplify]: iters left: 2 (59 enodes) 13.055 * * [simplify]: iters left: 1 (64 enodes) 13.071 * * [simplify]: Extracting #0: cost 1 inf + 0 13.071 * * [simplify]: Extracting #1: cost 8 inf + 0 13.071 * * [simplify]: Extracting #2: cost 13 inf + 1 13.071 * * [simplify]: Extracting #3: cost 18 inf + 1 13.071 * * [simplify]: Extracting #4: cost 21 inf + 2 13.072 * * [simplify]: Extracting #5: cost 18 inf + 65 13.072 * * [simplify]: Extracting #6: cost 10 inf + 816 13.072 * * [simplify]: Extracting #7: cost 3 inf + 1850 13.073 * * [simplify]: Extracting #8: cost 0 inf + 2559 13.074 * [simplify]: Simplified to (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) 13.074 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))))) 13.075 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))) 13.075 * * [simplify]: iters left: 6 (13 enodes) 13.081 * * [simplify]: iters left: 5 (42 enodes) 13.093 * * [simplify]: iters left: 4 (47 enodes) 13.108 * * [simplify]: iters left: 3 (51 enodes) 13.122 * * [simplify]: Extracting #0: cost 1 inf + 0 13.122 * * [simplify]: Extracting #1: cost 8 inf + 0 13.122 * * [simplify]: Extracting #2: cost 17 inf + 0 13.122 * * [simplify]: Extracting #3: cost 21 inf + 1 13.123 * * [simplify]: Extracting #4: cost 23 inf + 43 13.123 * * [simplify]: Extracting #5: cost 18 inf + 188 13.123 * * [simplify]: Extracting #6: cost 11 inf + 837 13.126 * * [simplify]: Extracting #7: cost 4 inf + 2274 13.127 * * [simplify]: Extracting #8: cost 0 inf + 3366 13.128 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt 2))) 13.128 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt 2))))) 13.128 * * * * [progress]: [ 91 / 178 ] simplifiying candidate # 13.129 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt 1) 1)) 13.129 * * [simplify]: iters left: 5 (7 enodes) 13.134 * * [simplify]: iters left: 4 (23 enodes) 13.140 * * [simplify]: iters left: 3 (25 enodes) 13.147 * * [simplify]: iters left: 2 (29 enodes) 13.154 * * [simplify]: iters left: 1 (31 enodes) 13.162 * * [simplify]: Extracting #0: cost 1 inf + 0 13.162 * * [simplify]: Extracting #1: cost 5 inf + 0 13.162 * * [simplify]: Extracting #2: cost 7 inf + 1 13.162 * * [simplify]: Extracting #3: cost 6 inf + 2 13.162 * * [simplify]: Extracting #4: cost 2 inf + 367 13.163 * * [simplify]: Extracting #5: cost 0 inf + 610 13.163 * [simplify]: Simplified to (sqrt (cos th)) 13.163 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (cos th)) (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 13.163 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 13.164 * * [simplify]: iters left: 6 (12 enodes) 13.170 * * [simplify]: iters left: 5 (39 enodes) 13.181 * * [simplify]: iters left: 4 (52 enodes) 13.196 * * [simplify]: iters left: 3 (84 enodes) 13.222 * * [simplify]: iters left: 2 (119 enodes) 13.238 * * [simplify]: iters left: 1 (153 enodes) 13.270 * * [simplify]: Extracting #0: cost 1 inf + 0 13.270 * * [simplify]: Extracting #1: cost 10 inf + 0 13.270 * * [simplify]: Extracting #2: cost 41 inf + 0 13.270 * * [simplify]: Extracting #3: cost 52 inf + 330 13.271 * * [simplify]: Extracting #4: cost 38 inf + 1453 13.273 * * [simplify]: Extracting #5: cost 7 inf + 7368 13.277 * * [simplify]: Extracting #6: cost 0 inf + 8766 13.280 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 13.280 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (sqrt (cos th)) (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) 13.280 * * * * [progress]: [ 92 / 178 ] simplifiying candidate # 13.281 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 13.281 * * [simplify]: iters left: 6 (15 enodes) 13.288 * * [simplify]: iters left: 5 (50 enodes) 13.303 * * [simplify]: iters left: 4 (61 enodes) 13.323 * * [simplify]: iters left: 3 (73 enodes) 13.343 * * [simplify]: iters left: 2 (81 enodes) 13.355 * * [simplify]: iters left: 1 (87 enodes) 13.368 * * [simplify]: Extracting #0: cost 1 inf + 0 13.368 * * [simplify]: Extracting #1: cost 14 inf + 0 13.368 * * [simplify]: Extracting #2: cost 29 inf + 0 13.368 * * [simplify]: Extracting #3: cost 36 inf + 0 13.368 * * [simplify]: Extracting #4: cost 35 inf + 185 13.368 * * [simplify]: Extracting #5: cost 23 inf + 1320 13.369 * * [simplify]: Extracting #6: cost 20 inf + 1624 13.369 * * [simplify]: Extracting #7: cost 13 inf + 3461 13.370 * * [simplify]: Extracting #8: cost 1 inf + 8121 13.372 * * [simplify]: Extracting #9: cost 0 inf + 8444 13.375 * [simplify]: Simplified to (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (cbrt (+ (* a2 a2) (* a1 a1)))) 13.375 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 13.376 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 13.376 * * [simplify]: iters left: 6 (14 enodes) 13.380 * * [simplify]: iters left: 5 (45 enodes) 13.387 * * [simplify]: iters left: 4 (50 enodes) 13.402 * * [simplify]: iters left: 3 (54 enodes) 13.417 * * [simplify]: Extracting #0: cost 1 inf + 0 13.417 * * [simplify]: Extracting #1: cost 8 inf + 0 13.417 * * [simplify]: Extracting #2: cost 17 inf + 0 13.417 * * [simplify]: Extracting #3: cost 24 inf + 0 13.418 * * [simplify]: Extracting #4: cost 21 inf + 327 13.418 * * [simplify]: Extracting #5: cost 11 inf + 1139 13.419 * * [simplify]: Extracting #6: cost 3 inf + 2958 13.420 * * [simplify]: Extracting #7: cost 0 inf + 4088 13.421 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))) 13.421 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))))) 13.421 * * * * [progress]: [ 93 / 178 ] simplifiying candidate # 13.422 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 13.422 * * [simplify]: iters left: 6 (14 enodes) 13.429 * * [simplify]: iters left: 5 (45 enodes) 13.442 * * [simplify]: iters left: 4 (50 enodes) 13.452 * * [simplify]: iters left: 3 (54 enodes) 13.459 * * [simplify]: Extracting #0: cost 1 inf + 0 13.459 * * [simplify]: Extracting #1: cost 8 inf + 0 13.459 * * [simplify]: Extracting #2: cost 17 inf + 0 13.459 * * [simplify]: Extracting #3: cost 24 inf + 0 13.459 * * [simplify]: Extracting #4: cost 21 inf + 327 13.460 * * [simplify]: Extracting #5: cost 11 inf + 1139 13.460 * * [simplify]: Extracting #6: cost 3 inf + 2758 13.461 * * [simplify]: Extracting #7: cost 0 inf + 3768 13.461 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 13.461 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 13.461 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 13.462 * * [simplify]: iters left: 6 (14 enodes) 13.465 * * [simplify]: iters left: 5 (45 enodes) 13.472 * * [simplify]: iters left: 4 (50 enodes) 13.480 * * [simplify]: iters left: 3 (54 enodes) 13.498 * * [simplify]: Extracting #0: cost 1 inf + 0 13.498 * * [simplify]: Extracting #1: cost 8 inf + 0 13.498 * * [simplify]: Extracting #2: cost 17 inf + 0 13.498 * * [simplify]: Extracting #3: cost 24 inf + 0 13.499 * * [simplify]: Extracting #4: cost 21 inf + 327 13.499 * * [simplify]: Extracting #5: cost 11 inf + 1139 13.500 * * [simplify]: Extracting #6: cost 3 inf + 2758 13.501 * * [simplify]: Extracting #7: cost 0 inf + 3768 13.502 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 13.502 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 13.502 * * * * [progress]: [ 94 / 178 ] simplifiying candidate # 13.503 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) 1)) 13.503 * * [simplify]: iters left: 6 (9 enodes) 13.508 * * [simplify]: iters left: 5 (29 enodes) 13.518 * * [simplify]: iters left: 4 (33 enodes) 13.529 * * [simplify]: iters left: 3 (38 enodes) 13.540 * * [simplify]: iters left: 2 (40 enodes) 13.546 * * [simplify]: iters left: 1 (43 enodes) 13.552 * * [simplify]: Extracting #0: cost 1 inf + 0 13.552 * * [simplify]: Extracting #1: cost 6 inf + 0 13.552 * * [simplify]: Extracting #2: cost 10 inf + 1 13.552 * * [simplify]: Extracting #3: cost 14 inf + 1 13.552 * * [simplify]: Extracting #4: cost 12 inf + 3 13.552 * * [simplify]: Extracting #5: cost 8 inf + 247 13.552 * * [simplify]: Extracting #6: cost 0 inf + 1459 13.552 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 13.552 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))) 13.553 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) 13.553 * * [simplify]: iters left: 6 (13 enodes) 13.556 * * [simplify]: iters left: 5 (42 enodes) 13.563 * * [simplify]: iters left: 4 (55 enodes) 13.574 * * [simplify]: iters left: 3 (87 enodes) 13.600 * * [simplify]: iters left: 2 (122 enodes) 13.635 * * [simplify]: iters left: 1 (156 enodes) 13.669 * * [simplify]: Extracting #0: cost 1 inf + 0 13.669 * * [simplify]: Extracting #1: cost 10 inf + 0 13.669 * * [simplify]: Extracting #2: cost 41 inf + 0 13.670 * * [simplify]: Extracting #3: cost 58 inf + 84 13.670 * * [simplify]: Extracting #4: cost 43 inf + 1285 13.671 * * [simplify]: Extracting #5: cost 5 inf + 9135 13.673 * * [simplify]: Extracting #6: cost 0 inf + 10288 13.675 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) 13.675 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))) 13.675 * * * * [progress]: [ 95 / 178 ] simplifiying candidate # 13.675 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ 1 (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 13.676 * * [simplify]: iters left: 6 (13 enodes) 13.679 * * [simplify]: iters left: 5 (46 enodes) 13.686 * * [simplify]: iters left: 4 (55 enodes) 13.695 * * [simplify]: iters left: 3 (72 enodes) 13.707 * * [simplify]: iters left: 2 (85 enodes) 13.737 * * [simplify]: iters left: 1 (112 enodes) 13.760 * * [simplify]: Extracting #0: cost 1 inf + 0 13.760 * * [simplify]: Extracting #1: cost 11 inf + 0 13.760 * * [simplify]: Extracting #2: cost 20 inf + 1 13.760 * * [simplify]: Extracting #3: cost 25 inf + 1 13.760 * * [simplify]: Extracting #4: cost 27 inf + 63 13.760 * * [simplify]: Extracting #5: cost 19 inf + 552 13.760 * * [simplify]: Extracting #6: cost 13 inf + 1222 13.761 * * [simplify]: Extracting #7: cost 3 inf + 4170 13.763 * * [simplify]: Extracting #8: cost 0 inf + 5180 13.764 * [simplify]: Simplified to (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) 13.764 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cos th)) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))))) 13.764 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))) 13.765 * * [simplify]: iters left: 6 (13 enodes) 13.768 * * [simplify]: iters left: 5 (42 enodes) 13.775 * * [simplify]: iters left: 4 (47 enodes) 13.782 * * [simplify]: iters left: 3 (51 enodes) 13.792 * * [simplify]: Extracting #0: cost 1 inf + 0 13.792 * * [simplify]: Extracting #1: cost 8 inf + 0 13.792 * * [simplify]: Extracting #2: cost 17 inf + 0 13.792 * * [simplify]: Extracting #3: cost 21 inf + 1 13.792 * * [simplify]: Extracting #4: cost 23 inf + 43 13.792 * * [simplify]: Extracting #5: cost 18 inf + 188 13.793 * * [simplify]: Extracting #6: cost 11 inf + 837 13.793 * * [simplify]: Extracting #7: cost 4 inf + 2434 13.794 * * [simplify]: Extracting #8: cost 0 inf + 3686 13.795 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt 2))) 13.795 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt 2))))) 13.796 * * * * [progress]: [ 96 / 178 ] simplifiying candidate # 13.796 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 13.796 * * [simplify]: iters left: 6 (12 enodes) 13.802 * * [simplify]: iters left: 5 (41 enodes) 13.815 * * [simplify]: iters left: 4 (44 enodes) 13.828 * * [simplify]: iters left: 3 (52 enodes) 13.846 * * [simplify]: iters left: 2 (54 enodes) 13.860 * * [simplify]: iters left: 1 (59 enodes) 13.868 * * [simplify]: Extracting #0: cost 1 inf + 0 13.868 * * [simplify]: Extracting #1: cost 8 inf + 0 13.868 * * [simplify]: Extracting #2: cost 13 inf + 1 13.868 * * [simplify]: Extracting #3: cost 18 inf + 1 13.868 * * [simplify]: Extracting #4: cost 20 inf + 63 13.868 * * [simplify]: Extracting #5: cost 10 inf + 634 13.868 * * [simplify]: Extracting #6: cost 4 inf + 1647 13.869 * * [simplify]: Extracting #7: cost 1 inf + 2356 13.869 * * [simplify]: Extracting #8: cost 0 inf + 2559 13.870 * [simplify]: Simplified to (* (sqrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) 13.870 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))))) 13.870 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))) 13.870 * * [simplify]: iters left: 6 (13 enodes) 13.873 * * [simplify]: iters left: 5 (42 enodes) 13.880 * * [simplify]: iters left: 4 (47 enodes) 13.888 * * [simplify]: iters left: 3 (51 enodes) 13.902 * * [simplify]: Extracting #0: cost 1 inf + 0 13.902 * * [simplify]: Extracting #1: cost 8 inf + 0 13.902 * * [simplify]: Extracting #2: cost 17 inf + 0 13.902 * * [simplify]: Extracting #3: cost 21 inf + 1 13.902 * * [simplify]: Extracting #4: cost 23 inf + 43 13.902 * * [simplify]: Extracting #5: cost 18 inf + 188 13.903 * * [simplify]: Extracting #6: cost 11 inf + 837 13.903 * * [simplify]: Extracting #7: cost 4 inf + 2274 13.904 * * [simplify]: Extracting #8: cost 0 inf + 3366 13.906 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt 2))) 13.906 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt 2))))) 13.906 * * * * [progress]: [ 97 / 178 ] simplifiying candidate # 13.906 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ 1 1)) 13.906 * * [simplify]: iters left: 4 (6 enodes) 13.910 * * [simplify]: iters left: 3 (18 enodes) 13.915 * * [simplify]: iters left: 2 (20 enodes) 13.921 * * [simplify]: iters left: 1 (22 enodes) 13.926 * * [simplify]: Extracting #0: cost 1 inf + 0 13.926 * * [simplify]: Extracting #1: cost 4 inf + 0 13.926 * * [simplify]: Extracting #2: cost 5 inf + 1 13.927 * * [simplify]: Extracting #3: cost 4 inf + 2 13.927 * * [simplify]: Extracting #4: cost 0 inf + 326 13.927 * [simplify]: Simplified to (sqrt (cos th)) 13.927 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (cos th)) (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 13.927 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 13.927 * * [simplify]: iters left: 6 (12 enodes) 13.932 * * [simplify]: iters left: 5 (39 enodes) 13.938 * * [simplify]: iters left: 4 (52 enodes) 13.947 * * [simplify]: iters left: 3 (84 enodes) 13.967 * * [simplify]: iters left: 2 (119 enodes) 13.999 * * [simplify]: iters left: 1 (153 enodes) 14.037 * * [simplify]: Extracting #0: cost 1 inf + 0 14.037 * * [simplify]: Extracting #1: cost 10 inf + 0 14.037 * * [simplify]: Extracting #2: cost 41 inf + 0 14.038 * * [simplify]: Extracting #3: cost 52 inf + 330 14.038 * * [simplify]: Extracting #4: cost 38 inf + 1453 14.041 * * [simplify]: Extracting #5: cost 7 inf + 7368 14.044 * * [simplify]: Extracting #6: cost 0 inf + 8766 14.048 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 14.048 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (sqrt (cos th)) (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) 14.048 * * * * [progress]: [ 98 / 178 ] simplifiying candidate # 14.048 * [simplify]: Simplifying (/ (sqrt (cos th)) 1) 14.048 * * [simplify]: iters left: 4 (5 enodes) 14.051 * * [simplify]: iters left: 3 (15 enodes) 14.056 * * [simplify]: iters left: 2 (17 enodes) 14.062 * * [simplify]: iters left: 1 (19 enodes) 14.067 * * [simplify]: Extracting #0: cost 1 inf + 0 14.067 * * [simplify]: Extracting #1: cost 4 inf + 0 14.067 * * [simplify]: Extracting #2: cost 5 inf + 1 14.067 * * [simplify]: Extracting #3: cost 4 inf + 2 14.067 * * [simplify]: Extracting #4: cost 1 inf + 225 14.067 * * [simplify]: Extracting #5: cost 0 inf + 326 14.067 * [simplify]: Simplified to (sqrt (cos th)) 14.067 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (cos th)) (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 14.068 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 14.068 * * [simplify]: iters left: 6 (12 enodes) 14.074 * * [simplify]: iters left: 5 (39 enodes) 14.086 * * [simplify]: iters left: 4 (52 enodes) 14.099 * * [simplify]: iters left: 3 (84 enodes) 14.112 * * [simplify]: iters left: 2 (119 enodes) 14.129 * * [simplify]: iters left: 1 (153 enodes) 14.162 * * [simplify]: Extracting #0: cost 1 inf + 0 14.162 * * [simplify]: Extracting #1: cost 10 inf + 0 14.162 * * [simplify]: Extracting #2: cost 41 inf + 0 14.162 * * [simplify]: Extracting #3: cost 52 inf + 330 14.162 * * [simplify]: Extracting #4: cost 38 inf + 1453 14.164 * * [simplify]: Extracting #5: cost 7 inf + 7368 14.165 * * [simplify]: Extracting #6: cost 0 inf + 8766 14.167 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 14.167 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (sqrt (cos th)) (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) 14.167 * * * * [progress]: [ 99 / 178 ] simplifiying candidate # 14.168 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 2)) 14.168 * * [simplify]: iters left: 4 (6 enodes) 14.169 * * [simplify]: iters left: 3 (18 enodes) 14.172 * * [simplify]: Extracting #0: cost 1 inf + 0 14.172 * * [simplify]: Extracting #1: cost 4 inf + 0 14.172 * * [simplify]: Extracting #2: cost 8 inf + 0 14.173 * * [simplify]: Extracting #3: cost 7 inf + 83 14.173 * * [simplify]: Extracting #4: cost 6 inf + 84 14.173 * * [simplify]: Extracting #5: cost 0 inf + 772 14.173 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt 2)) 14.173 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (sqrt 2)) (/ (sqrt (cos th)) (/ 1 (+ (* a1 a1) (* a2 a2)))))) 14.173 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ 1 (+ (* a1 a1) (* a2 a2)))) 14.173 * * [simplify]: iters left: 6 (11 enodes) 14.176 * * [simplify]: iters left: 5 (38 enodes) 14.182 * * [simplify]: iters left: 4 (53 enodes) 14.201 * * [simplify]: iters left: 3 (83 enodes) 14.221 * * [simplify]: iters left: 2 (111 enodes) 14.235 * * [simplify]: iters left: 1 (148 enodes) 14.262 * * [simplify]: Extracting #0: cost 1 inf + 0 14.262 * * [simplify]: Extracting #1: cost 10 inf + 0 14.263 * * [simplify]: Extracting #2: cost 38 inf + 1 14.263 * * [simplify]: Extracting #3: cost 40 inf + 617 14.264 * * [simplify]: Extracting #4: cost 23 inf + 1868 14.266 * * [simplify]: Extracting #5: cost 1 inf + 5356 14.267 * * [simplify]: Extracting #6: cost 0 inf + 5539 14.269 * [simplify]: Simplified to (* (sqrt (cos th)) (+ (* a1 a1) (* a2 a2))) 14.269 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (sqrt 2)) (* (sqrt (cos th)) (+ (* a1 a1) (* a2 a2))))) 14.269 * * * * [progress]: [ 100 / 178 ] simplifiying candidate # 14.269 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt 2) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))) 14.269 * * [simplify]: iters left: 6 (15 enodes) 14.274 * * [simplify]: iters left: 5 (64 enodes) 14.290 * * [simplify]: iters left: 4 (130 enodes) 14.329 * * [simplify]: iters left: 3 (294 enodes) 14.447 * * [simplify]: Extracting #0: cost 1 inf + 0 14.447 * * [simplify]: Extracting #1: cost 10 inf + 0 14.447 * * [simplify]: Extracting #2: cost 86 inf + 0 14.447 * * [simplify]: Extracting #3: cost 197 inf + 85 14.449 * * [simplify]: Extracting #4: cost 154 inf + 10523 14.455 * * [simplify]: Extracting #5: cost 24 inf + 53523 14.463 * * [simplify]: Extracting #6: cost 2 inf + 61698 14.483 * * [simplify]: Extracting #7: cost 0 inf + 62162 14.500 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt 2)) (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) 14.500 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt 2)) (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (/ (sqrt (cos th)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))) 14.500 * [simplify]: Simplifying (/ (sqrt (cos th)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) 14.501 * * [simplify]: iters left: 6 (13 enodes) 14.507 * * [simplify]: iters left: 5 (61 enodes) 14.531 * * [simplify]: iters left: 4 (128 enodes) 14.563 * * [simplify]: iters left: 3 (244 enodes) 14.652 * * [simplify]: iters left: 2 (376 enodes) 14.836 * * [simplify]: Extracting #0: cost 1 inf + 0 14.836 * * [simplify]: Extracting #1: cost 4 inf + 0 14.836 * * [simplify]: Extracting #2: cost 25 inf + 0 14.836 * * [simplify]: Extracting #3: cost 153 inf + 0 14.837 * * [simplify]: Extracting #4: cost 213 inf + 876 14.841 * * [simplify]: Extracting #5: cost 107 inf + 16753 14.854 * * [simplify]: Extracting #6: cost 10 inf + 33807 14.869 * * [simplify]: Extracting #7: cost 0 inf + 35567 14.883 * [simplify]: Simplified to (/ (sqrt (cos th)) (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))) 14.883 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt 2)) (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (/ (sqrt (cos th)) (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))) 14.883 * * * * [progress]: [ 101 / 178 ] simplifiying candidate # 14.883 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (sqrt 2) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 14.883 * * [simplify]: iters left: 6 (14 enodes) 14.891 * * [simplify]: iters left: 5 (57 enodes) 14.912 * * [simplify]: iters left: 4 (102 enodes) 14.950 * * [simplify]: iters left: 3 (244 enodes) 15.068 * * [simplify]: Extracting #0: cost 1 inf + 0 15.068 * * [simplify]: Extracting #1: cost 48 inf + 0 15.069 * * [simplify]: Extracting #2: cost 179 inf + 0 15.071 * * [simplify]: Extracting #3: cost 242 inf + 247 15.075 * * [simplify]: Extracting #4: cost 161 inf + 12733 15.093 * * [simplify]: Extracting #5: cost 24 inf + 51951 15.109 * * [simplify]: Extracting #6: cost 0 inf + 59726 15.122 * [simplify]: Simplified to (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (/ (sqrt 2) (sqrt (cos th)))) 15.122 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (/ (sqrt 2) (sqrt (cos th)))) (/ (sqrt (cos th)) (- (* a1 a1) (* a2 a2))))) 15.122 * [simplify]: Simplifying (/ (sqrt (cos th)) (- (* a1 a1) (* a2 a2))) 15.122 * * [simplify]: iters left: 6 (9 enodes) 15.124 * * [simplify]: iters left: 5 (32 enodes) 15.129 * * [simplify]: iters left: 4 (47 enodes) 15.142 * * [simplify]: iters left: 3 (66 enodes) 15.154 * * [simplify]: iters left: 2 (107 enodes) 15.177 * * [simplify]: iters left: 1 (190 enodes) 15.210 * * [simplify]: Extracting #0: cost 1 inf + 0 15.210 * * [simplify]: Extracting #1: cost 6 inf + 0 15.210 * * [simplify]: Extracting #2: cost 33 inf + 0 15.210 * * [simplify]: Extracting #3: cost 62 inf + 84 15.212 * * [simplify]: Extracting #4: cost 30 inf + 3242 15.215 * * [simplify]: Extracting #5: cost 4 inf + 6253 15.219 * * [simplify]: Extracting #6: cost 0 inf + 6842 15.223 * [simplify]: Simplified to (/ (sqrt (cos th)) (- (* a1 a1) (* a2 a2))) 15.223 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (sqrt 2) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (sqrt (cos th)) (- (* a1 a1) (* a2 a2))))) 15.223 * * * * [progress]: [ 102 / 178 ] simplifiying candidate # 15.223 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 15.223 * * [simplify]: iters left: 6 (12 enodes) 15.230 * * [simplify]: iters left: 5 (41 enodes) 15.246 * * [simplify]: iters left: 4 (45 enodes) 15.260 * * [simplify]: Extracting #0: cost 1 inf + 0 15.260 * * [simplify]: Extracting #1: cost 6 inf + 0 15.260 * * [simplify]: Extracting #2: cost 9 inf + 1 15.260 * * [simplify]: Extracting #3: cost 12 inf + 1 15.260 * * [simplify]: Extracting #4: cost 17 inf + 1 15.260 * * [simplify]: Extracting #5: cost 20 inf + 2 15.260 * * [simplify]: Extracting #6: cost 16 inf + 86 15.260 * * [simplify]: Extracting #7: cost 10 inf + 494 15.261 * * [simplify]: Extracting #8: cost 6 inf + 1466 15.262 * * [simplify]: Extracting #9: cost 3 inf + 2477 15.263 * * [simplify]: Extracting #10: cost 0 inf + 3488 15.264 * [simplify]: Simplified to (/ (/ 1 (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) 15.264 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ 1 (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) (/ (cos th) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 15.264 * [simplify]: Simplifying (/ (cos th) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 15.264 * * [simplify]: iters left: 6 (12 enodes) 15.270 * * [simplify]: iters left: 5 (37 enodes) 15.281 * * [simplify]: Extracting #0: cost 1 inf + 0 15.281 * * [simplify]: Extracting #1: cost 4 inf + 0 15.281 * * [simplify]: Extracting #2: cost 8 inf + 0 15.281 * * [simplify]: Extracting #3: cost 10 inf + 1 15.282 * * [simplify]: Extracting #4: cost 13 inf + 123 15.282 * * [simplify]: Extracting #5: cost 15 inf + 165 15.282 * * [simplify]: Extracting #6: cost 9 inf + 331 15.282 * * [simplify]: Extracting #7: cost 4 inf + 1022 15.283 * * [simplify]: Extracting #8: cost 0 inf + 2356 15.284 * [simplify]: Simplified to (/ (cos th) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 15.284 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (* (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) (/ (cos th) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 15.284 * * * * [progress]: [ 103 / 178 ] simplifiying candidate # 15.284 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 15.284 * * [simplify]: iters left: 6 (11 enodes) 15.290 * * [simplify]: iters left: 5 (36 enodes) 15.302 * * [simplify]: iters left: 4 (38 enodes) 15.308 * * [simplify]: Extracting #0: cost 1 inf + 0 15.308 * * [simplify]: Extracting #1: cost 4 inf + 0 15.309 * * [simplify]: Extracting #2: cost 5 inf + 1 15.309 * * [simplify]: Extracting #3: cost 8 inf + 1 15.309 * * [simplify]: Extracting #4: cost 13 inf + 1 15.309 * * [simplify]: Extracting #5: cost 16 inf + 2 15.309 * * [simplify]: Extracting #6: cost 12 inf + 86 15.309 * * [simplify]: Extracting #7: cost 8 inf + 331 15.309 * * [simplify]: Extracting #8: cost 3 inf + 1143 15.309 * * [simplify]: Extracting #9: cost 0 inf + 1954 15.310 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) 15.310 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (sqrt (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) (/ (cos th) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 15.310 * [simplify]: Simplifying (/ (cos th) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 15.310 * * [simplify]: iters left: 6 (12 enodes) 15.313 * * [simplify]: iters left: 5 (37 enodes) 15.319 * * [simplify]: Extracting #0: cost 1 inf + 0 15.319 * * [simplify]: Extracting #1: cost 4 inf + 0 15.319 * * [simplify]: Extracting #2: cost 8 inf + 0 15.319 * * [simplify]: Extracting #3: cost 10 inf + 1 15.319 * * [simplify]: Extracting #4: cost 13 inf + 123 15.319 * * [simplify]: Extracting #5: cost 15 inf + 165 15.319 * * [simplify]: Extracting #6: cost 9 inf + 331 15.319 * * [simplify]: Extracting #7: cost 4 inf + 1022 15.319 * * [simplify]: Extracting #8: cost 0 inf + 2196 15.320 * [simplify]: Simplified to (/ (cos th) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 15.320 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (/ (cos th) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 15.320 * * * * [progress]: [ 104 / 178 ] simplifiying candidate # 15.320 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 15.320 * * [simplify]: iters left: 6 (14 enodes) 15.324 * * [simplify]: iters left: 5 (53 enodes) 15.335 * * [simplify]: iters left: 4 (84 enodes) 15.356 * * [simplify]: iters left: 3 (119 enodes) 15.385 * * [simplify]: iters left: 2 (179 enodes) 15.460 * * [simplify]: iters left: 1 (209 enodes) 15.539 * * [simplify]: Extracting #0: cost 1 inf + 0 15.540 * * [simplify]: Extracting #1: cost 16 inf + 0 15.540 * * [simplify]: Extracting #2: cost 30 inf + 1 15.540 * * [simplify]: Extracting #3: cost 35 inf + 1 15.540 * * [simplify]: Extracting #4: cost 38 inf + 2 15.541 * * [simplify]: Extracting #5: cost 28 inf + 854 15.542 * * [simplify]: Extracting #6: cost 21 inf + 1664 15.544 * * [simplify]: Extracting #7: cost 4 inf + 7430 15.549 * * [simplify]: Extracting #8: cost 0 inf + 9002 15.553 * * [simplify]: Extracting #9: cost 0 inf + 8962 15.557 * [simplify]: Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))) 15.557 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))) (/ (cos th) (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 15.558 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 15.558 * * [simplify]: iters left: 6 (13 enodes) 15.564 * * [simplify]: iters left: 5 (42 enodes) 15.576 * * [simplify]: iters left: 4 (47 enodes) 15.583 * * [simplify]: iters left: 3 (51 enodes) 15.591 * * [simplify]: Extracting #0: cost 1 inf + 0 15.591 * * [simplify]: Extracting #1: cost 8 inf + 0 15.591 * * [simplify]: Extracting #2: cost 17 inf + 0 15.591 * * [simplify]: Extracting #3: cost 21 inf + 1 15.591 * * [simplify]: Extracting #4: cost 22 inf + 104 15.591 * * [simplify]: Extracting #5: cost 15 inf + 592 15.591 * * [simplify]: Extracting #6: cost 10 inf + 1139 15.592 * * [simplify]: Extracting #7: cost 4 inf + 2634 15.592 * * [simplify]: Extracting #8: cost 0 inf + 3966 15.593 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (cbrt (sqrt 2)))) 15.593 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (cbrt (sqrt 2)))))) 15.593 * * * * [progress]: [ 105 / 178 ] simplifiying candidate # 15.593 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 15.593 * * [simplify]: iters left: 6 (13 enodes) 15.600 * * [simplify]: iters left: 5 (46 enodes) 15.607 * * [simplify]: iters left: 4 (60 enodes) 15.617 * * [simplify]: iters left: 3 (75 enodes) 15.633 * * [simplify]: iters left: 2 (101 enodes) 15.662 * * [simplify]: iters left: 1 (105 enodes) 15.680 * * [simplify]: Extracting #0: cost 1 inf + 0 15.680 * * [simplify]: Extracting #1: cost 12 inf + 0 15.680 * * [simplify]: Extracting #2: cost 21 inf + 1 15.680 * * [simplify]: Extracting #3: cost 26 inf + 1 15.680 * * [simplify]: Extracting #4: cost 29 inf + 2 15.680 * * [simplify]: Extracting #5: cost 20 inf + 611 15.681 * * [simplify]: Extracting #6: cost 13 inf + 1502 15.681 * * [simplify]: Extracting #7: cost 3 inf + 4249 15.683 * * [simplify]: Extracting #8: cost 0 inf + 5258 15.684 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 15.684 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 15.684 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 15.684 * * [simplify]: iters left: 6 (13 enodes) 15.690 * * [simplify]: iters left: 5 (42 enodes) 15.702 * * [simplify]: iters left: 4 (47 enodes) 15.717 * * [simplify]: iters left: 3 (51 enodes) 15.732 * * [simplify]: Extracting #0: cost 1 inf + 0 15.732 * * [simplify]: Extracting #1: cost 8 inf + 0 15.732 * * [simplify]: Extracting #2: cost 17 inf + 0 15.732 * * [simplify]: Extracting #3: cost 21 inf + 1 15.732 * * [simplify]: Extracting #4: cost 22 inf + 104 15.732 * * [simplify]: Extracting #5: cost 15 inf + 592 15.733 * * [simplify]: Extracting #6: cost 10 inf + 1139 15.734 * * [simplify]: Extracting #7: cost 4 inf + 2474 15.735 * * [simplify]: Extracting #8: cost 0 inf + 3646 15.736 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (cbrt (sqrt 2)))) 15.736 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (cbrt (sqrt 2)))))) 15.736 * * * * [progress]: [ 106 / 178 ] simplifiying candidate # 15.736 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) 15.736 * * [simplify]: iters left: 6 (7 enodes) 15.741 * * [simplify]: iters left: 5 (25 enodes) 15.751 * * [simplify]: iters left: 4 (38 enodes) 15.762 * * [simplify]: iters left: 3 (42 enodes) 15.774 * * [simplify]: Extracting #0: cost 1 inf + 0 15.774 * * [simplify]: Extracting #1: cost 6 inf + 0 15.774 * * [simplify]: Extracting #2: cost 9 inf + 1 15.774 * * [simplify]: Extracting #3: cost 11 inf + 1 15.775 * * [simplify]: Extracting #4: cost 10 inf + 2 15.775 * * [simplify]: Extracting #5: cost 2 inf + 1093 15.775 * * [simplify]: Extracting #6: cost 0 inf + 1376 15.776 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 15.776 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (/ (cbrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))) 15.777 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) 15.777 * * [simplify]: iters left: 6 (12 enodes) 15.783 * * [simplify]: iters left: 5 (39 enodes) 15.795 * * [simplify]: iters left: 4 (52 enodes) 15.806 * * [simplify]: iters left: 3 (84 enodes) 15.819 * * [simplify]: iters left: 2 (119 enodes) 15.838 * * [simplify]: iters left: 1 (153 enodes) 15.858 * * [simplify]: Extracting #0: cost 1 inf + 0 15.858 * * [simplify]: Extracting #1: cost 10 inf + 0 15.858 * * [simplify]: Extracting #2: cost 41 inf + 0 15.858 * * [simplify]: Extracting #3: cost 54 inf + 207 15.859 * * [simplify]: Extracting #4: cost 24 inf + 4945 15.860 * * [simplify]: Extracting #5: cost 0 inf + 10446 15.862 * * [simplify]: Extracting #6: cost 0 inf + 10406 15.864 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) 15.864 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))) 15.864 * * * * [progress]: [ 107 / 178 ] simplifiying candidate # 15.865 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 15.865 * * [simplify]: iters left: 6 (14 enodes) 15.869 * * [simplify]: iters left: 5 (50 enodes) 15.879 * * [simplify]: iters left: 4 (63 enodes) 15.898 * * [simplify]: iters left: 3 (73 enodes) 15.925 * * [simplify]: iters left: 2 (88 enodes) 15.953 * * [simplify]: iters left: 1 (97 enodes) 15.980 * * [simplify]: Extracting #0: cost 1 inf + 0 15.980 * * [simplify]: Extracting #1: cost 10 inf + 0 15.980 * * [simplify]: Extracting #2: cost 19 inf + 1 15.980 * * [simplify]: Extracting #3: cost 25 inf + 1 15.981 * * [simplify]: Extracting #4: cost 28 inf + 2 15.981 * * [simplify]: Extracting #5: cost 20 inf + 570 15.981 * * [simplify]: Extracting #6: cost 13 inf + 1260 15.983 * * [simplify]: Extracting #7: cost 4 inf + 3802 15.985 * * [simplify]: Extracting #8: cost 0 inf + 5334 15.987 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2)))) 15.987 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2)))) (/ (cos th) (/ (sqrt (cbrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 15.988 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (cbrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 15.988 * * [simplify]: iters left: 6 (13 enodes) 15.994 * * [simplify]: iters left: 5 (42 enodes) 16.005 * * [simplify]: iters left: 4 (47 enodes) 16.012 * * [simplify]: iters left: 3 (51 enodes) 16.020 * * [simplify]: Extracting #0: cost 1 inf + 0 16.020 * * [simplify]: Extracting #1: cost 8 inf + 0 16.020 * * [simplify]: Extracting #2: cost 17 inf + 0 16.020 * * [simplify]: Extracting #3: cost 21 inf + 1 16.020 * * [simplify]: Extracting #4: cost 22 inf + 144 16.020 * * [simplify]: Extracting #5: cost 15 inf + 672 16.020 * * [simplify]: Extracting #6: cost 10 inf + 1219 16.021 * * [simplify]: Extracting #7: cost 4 inf + 2714 16.021 * * [simplify]: Extracting #8: cost 0 inf + 4046 16.022 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (cbrt 2)))) 16.022 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (cbrt 2)))))) 16.022 * * * * [progress]: [ 108 / 178 ] simplifiying candidate # 16.022 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 16.022 * * [simplify]: iters left: 6 (13 enodes) 16.026 * * [simplify]: iters left: 5 (45 enodes) 16.033 * * [simplify]: iters left: 4 (52 enodes) 16.051 * * [simplify]: iters left: 3 (54 enodes) 16.068 * * [simplify]: iters left: 2 (66 enodes) 16.087 * * [simplify]: Extracting #0: cost 1 inf + 0 16.088 * * [simplify]: Extracting #1: cost 7 inf + 0 16.088 * * [simplify]: Extracting #2: cost 13 inf + 1 16.088 * * [simplify]: Extracting #3: cost 19 inf + 1 16.088 * * [simplify]: Extracting #4: cost 22 inf + 2 16.088 * * [simplify]: Extracting #5: cost 10 inf + 1056 16.089 * * [simplify]: Extracting #6: cost 7 inf + 1260 16.090 * * [simplify]: Extracting #7: cost 1 inf + 2675 16.091 * * [simplify]: Extracting #8: cost 0 inf + 2998 16.092 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2))) 16.092 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2))) (/ (cos th) (/ (sqrt (cbrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 16.092 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (cbrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 16.093 * * [simplify]: iters left: 6 (13 enodes) 16.099 * * [simplify]: iters left: 5 (42 enodes) 16.107 * * [simplify]: iters left: 4 (47 enodes) 16.113 * * [simplify]: iters left: 3 (51 enodes) 16.121 * * [simplify]: Extracting #0: cost 1 inf + 0 16.121 * * [simplify]: Extracting #1: cost 8 inf + 0 16.121 * * [simplify]: Extracting #2: cost 17 inf + 0 16.121 * * [simplify]: Extracting #3: cost 21 inf + 1 16.121 * * [simplify]: Extracting #4: cost 22 inf + 144 16.121 * * [simplify]: Extracting #5: cost 15 inf + 672 16.121 * * [simplify]: Extracting #6: cost 10 inf + 1219 16.122 * * [simplify]: Extracting #7: cost 4 inf + 2554 16.122 * * [simplify]: Extracting #8: cost 0 inf + 3726 16.123 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (cbrt 2)))) 16.123 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (cbrt 2)))))) 16.123 * * * * [progress]: [ 109 / 178 ] simplifiying candidate # 16.123 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt 2) (cbrt 2))) 1)) 16.123 * * [simplify]: iters left: 6 (7 enodes) 16.125 * * [simplify]: iters left: 5 (23 enodes) 16.129 * * [simplify]: iters left: 4 (29 enodes) 16.137 * * [simplify]: Extracting #0: cost 1 inf + 0 16.137 * * [simplify]: Extracting #1: cost 4 inf + 0 16.138 * * [simplify]: Extracting #2: cost 6 inf + 1 16.138 * * [simplify]: Extracting #3: cost 9 inf + 1 16.138 * * [simplify]: Extracting #4: cost 8 inf + 2 16.138 * * [simplify]: Extracting #5: cost 2 inf + 689 16.138 * * [simplify]: Extracting #6: cost 0 inf + 972 16.139 * [simplify]: Simplified to (/ 1 (fabs (cbrt 2))) 16.139 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (fabs (cbrt 2))) (/ (cos th) (/ (sqrt (cbrt 2)) (+ (* a1 a1) (* a2 a2)))))) 16.139 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (cbrt 2)) (+ (* a1 a1) (* a2 a2)))) 16.139 * * [simplify]: iters left: 6 (12 enodes) 16.145 * * [simplify]: iters left: 5 (39 enodes) 16.158 * * [simplify]: iters left: 4 (52 enodes) 16.175 * * [simplify]: iters left: 3 (84 enodes) 16.197 * * [simplify]: iters left: 2 (119 enodes) 16.213 * * [simplify]: iters left: 1 (153 enodes) 16.232 * * [simplify]: Extracting #0: cost 1 inf + 0 16.232 * * [simplify]: Extracting #1: cost 10 inf + 0 16.232 * * [simplify]: Extracting #2: cost 41 inf + 0 16.233 * * [simplify]: Extracting #3: cost 54 inf + 207 16.233 * * [simplify]: Extracting #4: cost 24 inf + 4985 16.235 * * [simplify]: Extracting #5: cost 0 inf + 10526 16.237 * * [simplify]: Extracting #6: cost 0 inf + 10486 16.238 * [simplify]: Simplified to (/ (cos th) (/ (sqrt (cbrt 2)) (+ (* a2 a2) (* a1 a1)))) 16.238 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (fabs (cbrt 2))) (/ (cos th) (/ (sqrt (cbrt 2)) (+ (* a2 a2) (* a1 a1)))))) 16.239 * * * * [progress]: [ 110 / 178 ] simplifiying candidate # 16.239 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 16.239 * * [simplify]: iters left: 6 (13 enodes) 16.243 * * [simplify]: iters left: 5 (46 enodes) 16.250 * * [simplify]: iters left: 4 (59 enodes) 16.270 * * [simplify]: iters left: 3 (69 enodes) 16.283 * * [simplify]: iters left: 2 (84 enodes) 16.296 * * [simplify]: iters left: 1 (93 enodes) 16.310 * * [simplify]: Extracting #0: cost 1 inf + 0 16.310 * * [simplify]: Extracting #1: cost 10 inf + 0 16.310 * * [simplify]: Extracting #2: cost 18 inf + 1 16.310 * * [simplify]: Extracting #3: cost 23 inf + 1 16.310 * * [simplify]: Extracting #4: cost 26 inf + 2 16.311 * * [simplify]: Extracting #5: cost 17 inf + 493 16.311 * * [simplify]: Extracting #6: cost 11 inf + 1102 16.312 * * [simplify]: Extracting #7: cost 3 inf + 3523 16.314 * * [simplify]: Extracting #8: cost 0 inf + 4532 16.316 * [simplify]: Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 16.316 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cos th) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 16.316 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 16.316 * * [simplify]: iters left: 6 (13 enodes) 16.323 * * [simplify]: iters left: 5 (42 enodes) 16.335 * * [simplify]: iters left: 4 (47 enodes) 16.349 * * [simplify]: iters left: 3 (51 enodes) 16.363 * * [simplify]: Extracting #0: cost 1 inf + 0 16.363 * * [simplify]: Extracting #1: cost 8 inf + 0 16.363 * * [simplify]: Extracting #2: cost 17 inf + 0 16.363 * * [simplify]: Extracting #3: cost 21 inf + 1 16.364 * * [simplify]: Extracting #4: cost 22 inf + 104 16.364 * * [simplify]: Extracting #5: cost 15 inf + 512 16.364 * * [simplify]: Extracting #6: cost 10 inf + 979 16.365 * * [simplify]: Extracting #7: cost 4 inf + 2394 16.366 * * [simplify]: Extracting #8: cost 0 inf + 3646 16.367 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2)))) 16.367 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2)))))) 16.367 * * * * [progress]: [ 111 / 178 ] simplifiying candidate # 16.367 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 16.368 * * [simplify]: iters left: 6 (12 enodes) 16.374 * * [simplify]: iters left: 5 (41 enodes) 16.389 * * [simplify]: iters left: 4 (48 enodes) 16.404 * * [simplify]: iters left: 3 (50 enodes) 16.418 * * [simplify]: iters left: 2 (62 enodes) 16.434 * * [simplify]: Extracting #0: cost 1 inf + 0 16.435 * * [simplify]: Extracting #1: cost 7 inf + 0 16.435 * * [simplify]: Extracting #2: cost 12 inf + 1 16.435 * * [simplify]: Extracting #3: cost 17 inf + 1 16.435 * * [simplify]: Extracting #4: cost 20 inf + 2 16.435 * * [simplify]: Extracting #5: cost 10 inf + 412 16.435 * * [simplify]: Extracting #6: cost 4 inf + 1385 16.436 * * [simplify]: Extracting #7: cost 1 inf + 2073 16.437 * * [simplify]: Extracting #8: cost 0 inf + 2356 16.438 * [simplify]: Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) 16.438 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 16.438 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 16.438 * * [simplify]: iters left: 6 (13 enodes) 16.444 * * [simplify]: iters left: 5 (42 enodes) 16.454 * * [simplify]: iters left: 4 (47 enodes) 16.461 * * [simplify]: iters left: 3 (51 enodes) 16.469 * * [simplify]: Extracting #0: cost 1 inf + 0 16.469 * * [simplify]: Extracting #1: cost 8 inf + 0 16.469 * * [simplify]: Extracting #2: cost 17 inf + 0 16.469 * * [simplify]: Extracting #3: cost 21 inf + 1 16.469 * * [simplify]: Extracting #4: cost 22 inf + 104 16.469 * * [simplify]: Extracting #5: cost 15 inf + 512 16.469 * * [simplify]: Extracting #6: cost 10 inf + 979 16.470 * * [simplify]: Extracting #7: cost 4 inf + 2234 16.470 * * [simplify]: Extracting #8: cost 0 inf + 3326 16.471 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2)))) 16.471 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2)))))) 16.471 * * * * [progress]: [ 112 / 178 ] simplifiying candidate # 16.471 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt 2)) 1)) 16.471 * * [simplify]: iters left: 6 (6 enodes) 16.473 * * [simplify]: iters left: 5 (20 enodes) 16.477 * * [simplify]: iters left: 4 (24 enodes) 16.481 * * [simplify]: iters left: 3 (25 enodes) 16.485 * * [simplify]: Extracting #0: cost 1 inf + 0 16.485 * * [simplify]: Extracting #1: cost 4 inf + 0 16.485 * * [simplify]: Extracting #2: cost 5 inf + 1 16.485 * * [simplify]: Extracting #3: cost 7 inf + 1 16.486 * * [simplify]: Extracting #4: cost 6 inf + 2 16.486 * * [simplify]: Extracting #5: cost 0 inf + 490 16.486 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 16.486 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))) 16.486 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) 16.486 * * [simplify]: iters left: 6 (12 enodes) 16.489 * * [simplify]: iters left: 5 (39 enodes) 16.498 * * [simplify]: iters left: 4 (52 enodes) 16.508 * * [simplify]: iters left: 3 (84 enodes) 16.526 * * [simplify]: iters left: 2 (119 enodes) 16.550 * * [simplify]: iters left: 1 (153 enodes) 16.569 * * [simplify]: Extracting #0: cost 1 inf + 0 16.569 * * [simplify]: Extracting #1: cost 10 inf + 0 16.569 * * [simplify]: Extracting #2: cost 41 inf + 0 16.569 * * [simplify]: Extracting #3: cost 54 inf + 207 16.570 * * [simplify]: Extracting #4: cost 24 inf + 4305 16.572 * * [simplify]: Extracting #5: cost 0 inf + 9006 16.574 * * [simplify]: Extracting #6: cost 0 inf + 8966 16.577 * [simplify]: Simplified to (/ (cos th) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) 16.577 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))) 16.577 * * * * [progress]: [ 113 / 178 ] simplifiying candidate # 16.577 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 16.577 * * [simplify]: iters left: 6 (11 enodes) 16.584 * * [simplify]: iters left: 5 (40 enodes) 16.601 * * [simplify]: iters left: 4 (51 enodes) 16.615 * * [simplify]: iters left: 3 (63 enodes) 16.631 * * [simplify]: iters left: 2 (71 enodes) 16.650 * * [simplify]: iters left: 1 (76 enodes) 16.669 * * [simplify]: Extracting #0: cost 1 inf + 0 16.670 * * [simplify]: Extracting #1: cost 6 inf + 0 16.670 * * [simplify]: Extracting #2: cost 9 inf + 1 16.670 * * [simplify]: Extracting #3: cost 12 inf + 1 16.670 * * [simplify]: Extracting #4: cost 16 inf + 1 16.670 * * [simplify]: Extracting #5: cost 12 inf + 85 16.670 * * [simplify]: Extracting #6: cost 7 inf + 613 16.671 * * [simplify]: Extracting #7: cost 1 inf + 2068 16.672 * * [simplify]: Extracting #8: cost 0 inf + 2351 16.673 * [simplify]: Simplified to (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 16.673 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))))) 16.674 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))) 16.674 * * [simplify]: iters left: 6 (12 enodes) 16.680 * * [simplify]: iters left: 5 (39 enodes) 16.692 * * [simplify]: iters left: 4 (44 enodes) 16.705 * * [simplify]: iters left: 3 (48 enodes) 16.715 * * [simplify]: Extracting #0: cost 1 inf + 0 16.715 * * [simplify]: Extracting #1: cost 8 inf + 0 16.715 * * [simplify]: Extracting #2: cost 17 inf + 0 16.715 * * [simplify]: Extracting #3: cost 17 inf + 43 16.715 * * [simplify]: Extracting #4: cost 19 inf + 145 16.715 * * [simplify]: Extracting #5: cost 12 inf + 473 16.715 * * [simplify]: Extracting #6: cost 7 inf + 1102 16.716 * * [simplify]: Extracting #7: cost 1 inf + 2941 16.716 * * [simplify]: Extracting #8: cost 0 inf + 3244 16.716 * [simplify]: Simplified to (/ (cos th) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))) 16.717 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))))) 16.717 * * * * [progress]: [ 114 / 178 ] simplifiying candidate # 16.717 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (sqrt (+ (* a1 a1) (* a2 a2))))) 16.717 * * [simplify]: iters left: 6 (10 enodes) 16.720 * * [simplify]: iters left: 5 (35 enodes) 16.726 * * [simplify]: iters left: 4 (39 enodes) 16.733 * * [simplify]: iters left: 3 (44 enodes) 16.739 * * [simplify]: iters left: 2 (46 enodes) 16.744 * * [simplify]: Extracting #0: cost 1 inf + 0 16.744 * * [simplify]: Extracting #1: cost 5 inf + 0 16.745 * * [simplify]: Extracting #2: cost 8 inf + 1 16.745 * * [simplify]: Extracting #3: cost 12 inf + 1 16.745 * * [simplify]: Extracting #4: cost 7 inf + 126 16.745 * * [simplify]: Extracting #5: cost 2 inf + 735 16.745 * * [simplify]: Extracting #6: cost 0 inf + 1141 16.745 * [simplify]: Simplified to (sqrt (+ (* a1 a1) (* a2 a2))) 16.745 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cos th) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))))) 16.746 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))) 16.746 * * [simplify]: iters left: 6 (12 enodes) 16.751 * * [simplify]: iters left: 5 (39 enodes) 16.763 * * [simplify]: iters left: 4 (44 enodes) 16.776 * * [simplify]: iters left: 3 (48 enodes) 16.790 * * [simplify]: Extracting #0: cost 1 inf + 0 16.790 * * [simplify]: Extracting #1: cost 8 inf + 0 16.790 * * [simplify]: Extracting #2: cost 17 inf + 0 16.790 * * [simplify]: Extracting #3: cost 17 inf + 43 16.790 * * [simplify]: Extracting #4: cost 19 inf + 145 16.790 * * [simplify]: Extracting #5: cost 12 inf + 473 16.791 * * [simplify]: Extracting #6: cost 7 inf + 1062 16.791 * * [simplify]: Extracting #7: cost 1 inf + 2661 16.792 * * [simplify]: Extracting #8: cost 0 inf + 2924 16.793 * [simplify]: Simplified to (/ (cos th) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))) 16.793 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cos th) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))))) 16.794 * * * * [progress]: [ 115 / 178 ] simplifiying candidate # 16.794 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) 1)) 16.794 * * [simplify]: iters left: 5 (4 enodes) 16.801 * * [simplify]: iters left: 4 (14 enodes) 16.804 * * [simplify]: iters left: 3 (16 enodes) 16.807 * * [simplify]: Extracting #0: cost 1 inf + 0 16.807 * * [simplify]: Extracting #1: cost 0 inf + 1 16.807 * [simplify]: Simplified to 1 16.807 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* 1 (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 16.808 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 16.808 * * [simplify]: iters left: 6 (11 enodes) 16.814 * * [simplify]: iters left: 5 (36 enodes) 16.825 * * [simplify]: iters left: 4 (49 enodes) 16.842 * * [simplify]: iters left: 3 (81 enodes) 16.866 * * [simplify]: iters left: 2 (116 enodes) 16.884 * * [simplify]: iters left: 1 (150 enodes) 16.906 * * [simplify]: Extracting #0: cost 1 inf + 0 16.906 * * [simplify]: Extracting #1: cost 10 inf + 0 16.906 * * [simplify]: Extracting #2: cost 41 inf + 0 16.907 * * [simplify]: Extracting #3: cost 43 inf + 820 16.908 * * [simplify]: Extracting #4: cost 8 inf + 5880 16.911 * * [simplify]: Extracting #5: cost 0 inf + 7444 16.915 * [simplify]: Simplified to (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 16.915 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* 1 (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 16.915 * * * * [progress]: [ 116 / 178 ] simplifiying candidate # 16.915 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 16.915 * * [simplify]: iters left: 6 (13 enodes) 16.922 * * [simplify]: iters left: 5 (46 enodes) 16.937 * * [simplify]: iters left: 4 (59 enodes) 16.956 * * [simplify]: iters left: 3 (69 enodes) 16.968 * * [simplify]: iters left: 2 (84 enodes) 16.984 * * [simplify]: iters left: 1 (93 enodes) 17.004 * * [simplify]: Extracting #0: cost 1 inf + 0 17.004 * * [simplify]: Extracting #1: cost 10 inf + 0 17.005 * * [simplify]: Extracting #2: cost 18 inf + 1 17.005 * * [simplify]: Extracting #3: cost 23 inf + 1 17.005 * * [simplify]: Extracting #4: cost 26 inf + 2 17.005 * * [simplify]: Extracting #5: cost 17 inf + 493 17.006 * * [simplify]: Extracting #6: cost 11 inf + 1102 17.007 * * [simplify]: Extracting #7: cost 3 inf + 3523 17.009 * * [simplify]: Extracting #8: cost 0 inf + 4532 17.010 * [simplify]: Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 17.010 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cos th) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))))) 17.011 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) 17.011 * * [simplify]: iters left: 6 (13 enodes) 17.017 * * [simplify]: iters left: 5 (42 enodes) 17.030 * * [simplify]: iters left: 4 (47 enodes) 17.039 * * [simplify]: iters left: 3 (51 enodes) 17.047 * * [simplify]: Extracting #0: cost 1 inf + 0 17.047 * * [simplify]: Extracting #1: cost 8 inf + 0 17.047 * * [simplify]: Extracting #2: cost 17 inf + 0 17.047 * * [simplify]: Extracting #3: cost 21 inf + 1 17.047 * * [simplify]: Extracting #4: cost 22 inf + 104 17.047 * * [simplify]: Extracting #5: cost 15 inf + 512 17.047 * * [simplify]: Extracting #6: cost 10 inf + 979 17.048 * * [simplify]: Extracting #7: cost 4 inf + 2394 17.048 * * [simplify]: Extracting #8: cost 0 inf + 3646 17.049 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2)))) 17.049 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2)))))) 17.049 * * * * [progress]: [ 117 / 178 ] simplifiying candidate # 17.049 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 17.049 * * [simplify]: iters left: 6 (12 enodes) 17.052 * * [simplify]: iters left: 5 (41 enodes) 17.059 * * [simplify]: iters left: 4 (48 enodes) 17.068 * * [simplify]: iters left: 3 (50 enodes) 17.083 * * [simplify]: iters left: 2 (62 enodes) 17.105 * * [simplify]: Extracting #0: cost 1 inf + 0 17.105 * * [simplify]: Extracting #1: cost 7 inf + 0 17.105 * * [simplify]: Extracting #2: cost 12 inf + 1 17.105 * * [simplify]: Extracting #3: cost 17 inf + 1 17.105 * * [simplify]: Extracting #4: cost 20 inf + 2 17.105 * * [simplify]: Extracting #5: cost 10 inf + 412 17.106 * * [simplify]: Extracting #6: cost 4 inf + 1385 17.107 * * [simplify]: Extracting #7: cost 1 inf + 2073 17.108 * * [simplify]: Extracting #8: cost 0 inf + 2356 17.108 * [simplify]: Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) 17.109 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 17.109 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 17.109 * * [simplify]: iters left: 6 (13 enodes) 17.116 * * [simplify]: iters left: 5 (42 enodes) 17.128 * * [simplify]: iters left: 4 (47 enodes) 17.137 * * [simplify]: iters left: 3 (51 enodes) 17.144 * * [simplify]: Extracting #0: cost 1 inf + 0 17.144 * * [simplify]: Extracting #1: cost 8 inf + 0 17.144 * * [simplify]: Extracting #2: cost 17 inf + 0 17.144 * * [simplify]: Extracting #3: cost 21 inf + 1 17.144 * * [simplify]: Extracting #4: cost 22 inf + 104 17.144 * * [simplify]: Extracting #5: cost 15 inf + 512 17.144 * * [simplify]: Extracting #6: cost 10 inf + 979 17.145 * * [simplify]: Extracting #7: cost 4 inf + 2234 17.145 * * [simplify]: Extracting #8: cost 0 inf + 3326 17.146 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2)))) 17.146 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2)))))) 17.146 * * * * [progress]: [ 118 / 178 ] simplifiying candidate # 17.146 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt 2)) 1)) 17.146 * * [simplify]: iters left: 6 (6 enodes) 17.148 * * [simplify]: iters left: 5 (20 enodes) 17.152 * * [simplify]: iters left: 4 (24 enodes) 17.156 * * [simplify]: iters left: 3 (25 enodes) 17.160 * * [simplify]: Extracting #0: cost 1 inf + 0 17.160 * * [simplify]: Extracting #1: cost 4 inf + 0 17.160 * * [simplify]: Extracting #2: cost 5 inf + 1 17.160 * * [simplify]: Extracting #3: cost 7 inf + 1 17.160 * * [simplify]: Extracting #4: cost 6 inf + 2 17.160 * * [simplify]: Extracting #5: cost 0 inf + 490 17.160 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 17.160 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))) 17.160 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) 17.160 * * [simplify]: iters left: 6 (12 enodes) 17.165 * * [simplify]: iters left: 5 (39 enodes) 17.177 * * [simplify]: iters left: 4 (52 enodes) 17.195 * * [simplify]: iters left: 3 (84 enodes) 17.216 * * [simplify]: iters left: 2 (119 enodes) 17.231 * * [simplify]: iters left: 1 (153 enodes) 17.258 * * [simplify]: Extracting #0: cost 1 inf + 0 17.258 * * [simplify]: Extracting #1: cost 10 inf + 0 17.259 * * [simplify]: Extracting #2: cost 41 inf + 0 17.259 * * [simplify]: Extracting #3: cost 54 inf + 207 17.259 * * [simplify]: Extracting #4: cost 24 inf + 4305 17.261 * * [simplify]: Extracting #5: cost 0 inf + 9006 17.263 * * [simplify]: Extracting #6: cost 0 inf + 8966 17.264 * [simplify]: Simplified to (/ (cos th) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) 17.264 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (/ (sqrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))) 17.265 * * * * [progress]: [ 119 / 178 ] simplifiying candidate # 17.265 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 17.265 * * [simplify]: iters left: 6 (10 enodes) 17.268 * * [simplify]: iters left: 5 (35 enodes) 17.273 * * [simplify]: iters left: 4 (42 enodes) 17.281 * * [simplify]: iters left: 3 (54 enodes) 17.296 * * [simplify]: iters left: 2 (68 enodes) 17.310 * * [simplify]: iters left: 1 (70 enodes) 17.320 * * [simplify]: Extracting #0: cost 1 inf + 0 17.320 * * [simplify]: Extracting #1: cost 6 inf + 0 17.320 * * [simplify]: Extracting #2: cost 9 inf + 1 17.320 * * [simplify]: Extracting #3: cost 12 inf + 1 17.320 * * [simplify]: Extracting #4: cost 16 inf + 1 17.320 * * [simplify]: Extracting #5: cost 14 inf + 3 17.320 * * [simplify]: Extracting #6: cost 8 inf + 411 17.320 * * [simplify]: Extracting #7: cost 1 inf + 2108 17.321 * * [simplify]: Extracting #8: cost 0 inf + 2351 17.321 * [simplify]: Simplified to (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 17.321 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))))) 17.322 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))) 17.322 * * [simplify]: iters left: 6 (12 enodes) 17.328 * * [simplify]: iters left: 5 (39 enodes) 17.340 * * [simplify]: iters left: 4 (44 enodes) 17.353 * * [simplify]: iters left: 3 (48 enodes) 17.366 * * [simplify]: Extracting #0: cost 1 inf + 0 17.366 * * [simplify]: Extracting #1: cost 8 inf + 0 17.367 * * [simplify]: Extracting #2: cost 17 inf + 0 17.367 * * [simplify]: Extracting #3: cost 17 inf + 43 17.367 * * [simplify]: Extracting #4: cost 19 inf + 145 17.367 * * [simplify]: Extracting #5: cost 12 inf + 473 17.367 * * [simplify]: Extracting #6: cost 7 inf + 1102 17.368 * * [simplify]: Extracting #7: cost 1 inf + 2941 17.369 * * [simplify]: Extracting #8: cost 0 inf + 3244 17.370 * [simplify]: Simplified to (/ (cos th) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))) 17.370 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))))) 17.370 * * * * [progress]: [ 120 / 178 ] simplifiying candidate # 17.371 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 17.371 * * [simplify]: iters left: 6 (9 enodes) 17.376 * * [simplify]: iters left: 5 (30 enodes) 17.385 * * [simplify]: iters left: 4 (33 enodes) 17.396 * * [simplify]: iters left: 3 (40 enodes) 17.407 * * [simplify]: iters left: 2 (42 enodes) 17.419 * * [simplify]: Extracting #0: cost 1 inf + 0 17.419 * * [simplify]: Extracting #1: cost 5 inf + 0 17.419 * * [simplify]: Extracting #2: cost 8 inf + 1 17.419 * * [simplify]: Extracting #3: cost 12 inf + 1 17.419 * * [simplify]: Extracting #4: cost 10 inf + 3 17.419 * * [simplify]: Extracting #5: cost 6 inf + 248 17.420 * * [simplify]: Extracting #6: cost 1 inf + 938 17.420 * * [simplify]: Extracting #7: cost 0 inf + 1141 17.421 * [simplify]: Simplified to (sqrt (+ (* a1 a1) (* a2 a2))) 17.421 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cos th) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))))) 17.421 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))) 17.421 * * [simplify]: iters left: 6 (12 enodes) 17.427 * * [simplify]: iters left: 5 (39 enodes) 17.441 * * [simplify]: iters left: 4 (44 enodes) 17.454 * * [simplify]: iters left: 3 (48 enodes) 17.468 * * [simplify]: Extracting #0: cost 1 inf + 0 17.468 * * [simplify]: Extracting #1: cost 8 inf + 0 17.468 * * [simplify]: Extracting #2: cost 17 inf + 0 17.468 * * [simplify]: Extracting #3: cost 17 inf + 43 17.468 * * [simplify]: Extracting #4: cost 19 inf + 145 17.468 * * [simplify]: Extracting #5: cost 12 inf + 473 17.469 * * [simplify]: Extracting #6: cost 7 inf + 1062 17.469 * * [simplify]: Extracting #7: cost 1 inf + 2661 17.470 * * [simplify]: Extracting #8: cost 0 inf + 2924 17.471 * [simplify]: Simplified to (/ (cos th) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))) 17.471 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cos th) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))))) 17.471 * * * * [progress]: [ 121 / 178 ] simplifiying candidate # 17.472 * [simplify]: Simplifying (/ 1 (/ 1 1)) 17.472 * * [simplify]: iters left: 4 (3 enodes) 17.474 * * [simplify]: iters left: 3 (7 enodes) 17.476 * * [simplify]: iters left: 2 (9 enodes) 17.478 * * [simplify]: Extracting #0: cost 1 inf + 0 17.478 * * [simplify]: Extracting #1: cost 0 inf + 1 17.478 * [simplify]: Simplified to 1 17.478 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* 1 (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 17.478 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 17.479 * * [simplify]: iters left: 6 (11 enodes) 17.484 * * [simplify]: iters left: 5 (36 enodes) 17.495 * * [simplify]: iters left: 4 (49 enodes) 17.512 * * [simplify]: iters left: 3 (81 enodes) 17.534 * * [simplify]: iters left: 2 (116 enodes) 17.549 * * [simplify]: iters left: 1 (150 enodes) 17.571 * * [simplify]: Extracting #0: cost 1 inf + 0 17.571 * * [simplify]: Extracting #1: cost 10 inf + 0 17.571 * * [simplify]: Extracting #2: cost 41 inf + 0 17.572 * * [simplify]: Extracting #3: cost 43 inf + 820 17.573 * * [simplify]: Extracting #4: cost 8 inf + 5880 17.574 * * [simplify]: Extracting #5: cost 0 inf + 7444 17.575 * [simplify]: Simplified to (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 17.576 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* 1 (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 17.576 * * * * [progress]: [ 122 / 178 ] simplifiying candidate # 17.576 * [simplify]: Simplifying (/ 1 1) 17.576 * * [simplify]: iters left: 2 (2 enodes) 17.577 * * [simplify]: iters left: 1 (6 enodes) 17.578 * * [simplify]: Extracting #0: cost 1 inf + 0 17.578 * * [simplify]: Extracting #1: cost 0 inf + 1 17.578 * [simplify]: Simplified to 1 17.578 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* 1 (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 17.578 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 17.578 * * [simplify]: iters left: 6 (11 enodes) 17.581 * * [simplify]: iters left: 5 (36 enodes) 17.588 * * [simplify]: iters left: 4 (49 enodes) 17.598 * * [simplify]: iters left: 3 (81 enodes) 17.611 * * [simplify]: iters left: 2 (116 enodes) 17.626 * * [simplify]: iters left: 1 (150 enodes) 17.649 * * [simplify]: Extracting #0: cost 1 inf + 0 17.649 * * [simplify]: Extracting #1: cost 10 inf + 0 17.649 * * [simplify]: Extracting #2: cost 41 inf + 0 17.649 * * [simplify]: Extracting #3: cost 43 inf + 820 17.650 * * [simplify]: Extracting #4: cost 8 inf + 5880 17.652 * * [simplify]: Extracting #5: cost 0 inf + 7444 17.653 * [simplify]: Simplified to (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 17.653 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* 1 (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 17.654 * * * * [progress]: [ 123 / 178 ] simplifiying candidate # 17.654 * [simplify]: Simplifying (/ 1 (sqrt 2)) 17.654 * * [simplify]: iters left: 3 (4 enodes) 17.656 * * [simplify]: iters left: 2 (14 enodes) 17.659 * * [simplify]: iters left: 1 (16 enodes) 17.661 * * [simplify]: Extracting #0: cost 1 inf + 0 17.661 * * [simplify]: Extracting #1: cost 4 inf + 0 17.661 * * [simplify]: Extracting #2: cost 5 inf + 1 17.662 * * [simplify]: Extracting #3: cost 3 inf + 43 17.662 * * [simplify]: Extracting #4: cost 1 inf + 166 17.662 * * [simplify]: Extracting #5: cost 0 inf + 248 17.662 * [simplify]: Simplified to (/ 1 (sqrt 2)) 17.662 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (sqrt 2)) (/ (cos th) (/ 1 (+ (* a1 a1) (* a2 a2)))))) 17.662 * [simplify]: Simplifying (/ (cos th) (/ 1 (+ (* a1 a1) (* a2 a2)))) 17.662 * * [simplify]: iters left: 6 (10 enodes) 17.667 * * [simplify]: iters left: 5 (35 enodes) 17.678 * * [simplify]: iters left: 4 (50 enodes) 17.687 * * [simplify]: iters left: 3 (80 enodes) 17.699 * * [simplify]: iters left: 2 (108 enodes) 17.713 * * [simplify]: iters left: 1 (145 enodes) 17.737 * * [simplify]: Extracting #0: cost 1 inf + 0 17.737 * * [simplify]: Extracting #1: cost 10 inf + 0 17.737 * * [simplify]: Extracting #2: cost 38 inf + 1 17.737 * * [simplify]: Extracting #3: cost 40 inf + 332 17.738 * * [simplify]: Extracting #4: cost 17 inf + 2618 17.739 * * [simplify]: Extracting #5: cost 1 inf + 4575 17.740 * * [simplify]: Extracting #6: cost 0 inf + 4697 17.742 * [simplify]: Simplified to (* (cos th) (+ (* a2 a2) (* a1 a1))) 17.742 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (sqrt 2)) (* (cos th) (+ (* a2 a2) (* a1 a1))))) 17.742 * * * * [progress]: [ 124 / 178 ] simplifiying candidate # 17.742 * [simplify]: Simplifying (/ 1 (/ (sqrt 2) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))) 17.742 * * [simplify]: iters left: 6 (13 enodes) 17.747 * * [simplify]: iters left: 5 (60 enodes) 17.768 * * [simplify]: iters left: 4 (128 enodes) 17.827 * * [simplify]: iters left: 3 (290 enodes) 17.931 * * [simplify]: Extracting #0: cost 1 inf + 0 17.931 * * [simplify]: Extracting #1: cost 11 inf + 0 17.931 * * [simplify]: Extracting #2: cost 81 inf + 1 17.931 * * [simplify]: Extracting #3: cost 188 inf + 288 17.933 * * [simplify]: Extracting #4: cost 158 inf + 3863 17.939 * * [simplify]: Extracting #5: cost 56 inf + 31756 17.952 * * [simplify]: Extracting #6: cost 2 inf + 50575 17.966 * * [simplify]: Extracting #7: cost 0 inf + 51068 17.981 * [simplify]: Simplified to (/ (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) (sqrt 2)) 17.981 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) (sqrt 2)) (/ (cos th) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))) 17.982 * [simplify]: Simplifying (/ (cos th) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) 17.982 * * [simplify]: iters left: 6 (12 enodes) 17.988 * * [simplify]: iters left: 5 (58 enodes) 18.009 * * [simplify]: iters left: 4 (125 enodes) 18.054 * * [simplify]: iters left: 3 (241 enodes) 18.120 * * [simplify]: iters left: 2 (373 enodes) 18.278 * * [simplify]: Extracting #0: cost 1 inf + 0 18.278 * * [simplify]: Extracting #1: cost 4 inf + 0 18.278 * * [simplify]: Extracting #2: cost 25 inf + 0 18.278 * * [simplify]: Extracting #3: cost 148 inf + 123 18.279 * * [simplify]: Extracting #4: cost 211 inf + 978 18.282 * * [simplify]: Extracting #5: cost 121 inf + 14212 18.288 * * [simplify]: Extracting #6: cost 18 inf + 32589 18.295 * * [simplify]: Extracting #7: cost 0 inf + 35045 18.302 * [simplify]: Simplified to (/ (cos th) (- (* (* a2 a2) (* a2 a2)) (* (- (* a2 a2) (* a1 a1)) (* a1 a1)))) 18.302 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) (sqrt 2)) (/ (cos th) (- (* (* a2 a2) (* a2 a2)) (* (- (* a2 a2) (* a1 a1)) (* a1 a1)))))) 18.302 * * * * [progress]: [ 125 / 178 ] simplifiying candidate # 18.303 * [simplify]: Simplifying (/ 1 (/ (sqrt 2) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 18.303 * * [simplify]: iters left: 6 (12 enodes) 18.307 * * [simplify]: iters left: 5 (53 enodes) 18.321 * * [simplify]: iters left: 4 (100 enodes) 18.348 * * [simplify]: iters left: 3 (239 enodes) 18.440 * * [simplify]: Extracting #0: cost 1 inf + 0 18.440 * * [simplify]: Extracting #1: cost 49 inf + 0 18.441 * * [simplify]: Extracting #2: cost 161 inf + 1 18.442 * * [simplify]: Extracting #3: cost 216 inf + 982 18.446 * * [simplify]: Extracting #4: cost 76 inf + 23254 18.455 * * [simplify]: Extracting #5: cost 5 inf + 39793 18.464 * * [simplify]: Extracting #6: cost 0 inf + 41008 18.477 * [simplify]: Simplified to (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (sqrt 2)) 18.477 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (sqrt 2)) (/ (cos th) (- (* a1 a1) (* a2 a2))))) 18.478 * [simplify]: Simplifying (/ (cos th) (- (* a1 a1) (* a2 a2))) 18.478 * * [simplify]: iters left: 6 (8 enodes) 18.480 * * [simplify]: iters left: 5 (29 enodes) 18.484 * * [simplify]: iters left: 4 (44 enodes) 18.490 * * [simplify]: iters left: 3 (63 enodes) 18.500 * * [simplify]: iters left: 2 (104 enodes) 18.524 * * [simplify]: iters left: 1 (187 enodes) 18.965 * * [simplify]: Extracting #0: cost 1 inf + 0 18.965 * * [simplify]: Extracting #1: cost 6 inf + 0 18.966 * * [simplify]: Extracting #2: cost 32 inf + 0 18.966 * * [simplify]: Extracting #3: cost 51 inf + 557 18.968 * * [simplify]: Extracting #4: cost 11 inf + 4835 18.972 * * [simplify]: Extracting #5: cost 0 inf + 6318 18.975 * [simplify]: Simplified to (/ (cos th) (- (* a1 a1) (* a2 a2))) 18.975 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (sqrt 2)) (/ (cos th) (- (* a1 a1) (* a2 a2))))) 18.975 * * * * [progress]: [ 126 / 178 ] simplifiying candidate # 18.975 * * * * [progress]: [ 127 / 178 ] simplifiying candidate # 18.976 * [simplify]: Simplifying (/ 1 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 18.976 * * [simplify]: iters left: 6 (10 enodes) 18.982 * * [simplify]: iters left: 5 (35 enodes) 18.993 * * [simplify]: iters left: 4 (50 enodes) 19.012 * * [simplify]: iters left: 3 (80 enodes) 19.039 * * [simplify]: iters left: 2 (118 enodes) 19.076 * * [simplify]: iters left: 1 (136 enodes) 19.100 * * [simplify]: Extracting #0: cost 1 inf + 0 19.100 * * [simplify]: Extracting #1: cost 9 inf + 0 19.100 * * [simplify]: Extracting #2: cost 25 inf + 1 19.100 * * [simplify]: Extracting #3: cost 29 inf + 45 19.101 * * [simplify]: Extracting #4: cost 6 inf + 2409 19.102 * * [simplify]: Extracting #5: cost 0 inf + 3102 19.103 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) 19.103 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 19.103 * * * * [progress]: [ 128 / 178 ] simplifiying candidate # 19.103 * [simplify]: Simplifying (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th)) 19.103 * * [simplify]: iters left: 6 (11 enodes) 19.106 * * [simplify]: iters left: 5 (36 enodes) 19.114 * * [simplify]: iters left: 4 (49 enodes) 19.130 * * [simplify]: iters left: 3 (67 enodes) 19.144 * * [simplify]: iters left: 2 (75 enodes) 19.154 * * [simplify]: Extracting #0: cost 1 inf + 0 19.154 * * [simplify]: Extracting #1: cost 8 inf + 0 19.154 * * [simplify]: Extracting #2: cost 20 inf + 0 19.154 * * [simplify]: Extracting #3: cost 25 inf + 63 19.154 * * [simplify]: Extracting #4: cost 18 inf + 433 19.154 * * [simplify]: Extracting #5: cost 2 inf + 2728 19.155 * * [simplify]: Extracting #6: cost 0 inf + 3336 19.156 * [simplify]: Simplified to (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 19.156 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))))) 19.156 * * * * [progress]: [ 129 / 178 ] simplifiying candidate # 19.156 * [simplify]: Simplifying (/ (cos th) (* (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 19.156 * * [simplify]: iters left: 6 (13 enodes) 19.160 * * [simplify]: iters left: 5 (42 enodes) 19.166 * * [simplify]: iters left: 4 (44 enodes) 19.175 * * [simplify]: Extracting #0: cost 1 inf + 0 19.175 * * [simplify]: Extracting #1: cost 6 inf + 0 19.175 * * [simplify]: Extracting #2: cost 12 inf + 0 19.175 * * [simplify]: Extracting #3: cost 14 inf + 1 19.175 * * [simplify]: Extracting #4: cost 18 inf + 62 19.175 * * [simplify]: Extracting #5: cost 19 inf + 165 19.176 * * [simplify]: Extracting #6: cost 14 inf + 290 19.176 * * [simplify]: Extracting #7: cost 10 inf + 697 19.176 * * [simplify]: Extracting #8: cost 4 inf + 2436 19.177 * * [simplify]: Extracting #9: cost 0 inf + 3850 19.177 * [simplify]: Simplified to (/ (cos th) (* (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 19.177 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (cos th) (* (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 19.177 * * * * [progress]: [ 130 / 178 ] simplifiying candidate # 19.178 * [simplify]: Simplifying (/ (cos th) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 19.178 * * [simplify]: iters left: 6 (12 enodes) 19.183 * * [simplify]: iters left: 5 (37 enodes) 19.189 * * [simplify]: Extracting #0: cost 1 inf + 0 19.189 * * [simplify]: Extracting #1: cost 4 inf + 0 19.189 * * [simplify]: Extracting #2: cost 8 inf + 0 19.189 * * [simplify]: Extracting #3: cost 10 inf + 1 19.189 * * [simplify]: Extracting #4: cost 13 inf + 123 19.189 * * [simplify]: Extracting #5: cost 15 inf + 165 19.189 * * [simplify]: Extracting #6: cost 9 inf + 331 19.189 * * [simplify]: Extracting #7: cost 4 inf + 1022 19.189 * * [simplify]: Extracting #8: cost 0 inf + 2196 19.190 * [simplify]: Simplified to (/ (cos th) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 19.190 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (cos th) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (sqrt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 19.190 * * * * [progress]: [ 131 / 178 ] simplifiying candidate # 19.190 * [simplify]: Simplifying (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 19.190 * * [simplify]: iters left: 6 (15 enodes) 19.194 * * [simplify]: iters left: 5 (54 enodes) 19.204 * * [simplify]: iters left: 4 (83 enodes) 19.231 * * [simplify]: iters left: 3 (120 enodes) 19.252 * * [simplify]: iters left: 2 (150 enodes) 19.284 * * [simplify]: iters left: 1 (184 enodes) 19.321 * * [simplify]: Extracting #0: cost 1 inf + 0 19.321 * * [simplify]: Extracting #1: cost 30 inf + 0 19.321 * * [simplify]: Extracting #2: cost 55 inf + 0 19.321 * * [simplify]: Extracting #3: cost 58 inf + 62 19.321 * * [simplify]: Extracting #4: cost 51 inf + 1537 19.322 * * [simplify]: Extracting #5: cost 41 inf + 2831 19.324 * * [simplify]: Extracting #6: cost 16 inf + 12028 19.328 * * [simplify]: Extracting #7: cost 0 inf + 18539 19.333 * * [simplify]: Extracting #8: cost 0 inf + 18499 19.337 * [simplify]: Simplified to (/ (cos th) (* (/ (cbrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))))) 19.337 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (cos th) (* (/ (cbrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))))) 19.337 * * * * [progress]: [ 132 / 178 ] simplifiying candidate # 19.337 * [simplify]: Simplifying (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 19.337 * * [simplify]: iters left: 6 (14 enodes) 19.341 * * [simplify]: iters left: 5 (47 enodes) 19.348 * * [simplify]: iters left: 4 (59 enodes) 19.357 * * [simplify]: iters left: 3 (78 enodes) 19.381 * * [simplify]: iters left: 2 (84 enodes) 19.403 * * [simplify]: iters left: 1 (92 enodes) 19.427 * * [simplify]: Extracting #0: cost 1 inf + 0 19.427 * * [simplify]: Extracting #1: cost 16 inf + 0 19.427 * * [simplify]: Extracting #2: cost 32 inf + 0 19.427 * * [simplify]: Extracting #3: cost 35 inf + 62 19.428 * * [simplify]: Extracting #4: cost 31 inf + 871 19.428 * * [simplify]: Extracting #5: cost 21 inf + 2527 19.429 * * [simplify]: Extracting #6: cost 16 inf + 3134 19.430 * * [simplify]: Extracting #7: cost 9 inf + 5014 19.432 * * [simplify]: Extracting #8: cost 0 inf + 8022 19.433 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th)))) 19.433 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 19.433 * * * * [progress]: [ 133 / 178 ] simplifiying candidate # 19.433 * [simplify]: Simplifying (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) 19.434 * * [simplify]: iters left: 6 (9 enodes) 19.436 * * [simplify]: iters left: 5 (31 enodes) 19.442 * * [simplify]: iters left: 4 (46 enodes) 19.450 * * [simplify]: iters left: 3 (59 enodes) 19.459 * * [simplify]: iters left: 2 (70 enodes) 19.476 * * [simplify]: iters left: 1 (85 enodes) 19.498 * * [simplify]: Extracting #0: cost 1 inf + 0 19.498 * * [simplify]: Extracting #1: cost 11 inf + 0 19.498 * * [simplify]: Extracting #2: cost 20 inf + 1 19.498 * * [simplify]: Extracting #3: cost 21 inf + 2 19.498 * * [simplify]: Extracting #4: cost 16 inf + 207 19.498 * * [simplify]: Extracting #5: cost 10 inf + 1216 19.499 * * [simplify]: Extracting #6: cost 1 inf + 3213 19.500 * * [simplify]: Extracting #7: cost 0 inf + 3435 19.500 * [simplify]: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 19.500 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))))) 19.500 * * * * [progress]: [ 134 / 178 ] simplifiying candidate # 19.501 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 19.501 * * [simplify]: iters left: 6 (15 enodes) 19.505 * * [simplify]: iters left: 5 (51 enodes) 19.513 * * [simplify]: iters left: 4 (62 enodes) 19.523 * * [simplify]: iters left: 3 (74 enodes) 19.545 * * [simplify]: iters left: 2 (82 enodes) 19.567 * * [simplify]: iters left: 1 (88 enodes) 19.590 * * [simplify]: Extracting #0: cost 1 inf + 0 19.591 * * [simplify]: Extracting #1: cost 14 inf + 0 19.591 * * [simplify]: Extracting #2: cost 30 inf + 0 19.591 * * [simplify]: Extracting #3: cost 34 inf + 62 19.591 * * [simplify]: Extracting #4: cost 32 inf + 568 19.592 * * [simplify]: Extracting #5: cost 25 inf + 1257 19.592 * * [simplify]: Extracting #6: cost 21 inf + 1783 19.593 * * [simplify]: Extracting #7: cost 11 inf + 4509 19.596 * * [simplify]: Extracting #8: cost 0 inf + 8644 19.598 * [simplify]: Simplified to (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (fabs (cbrt 2)))) (cbrt (+ (* a2 a2) (* a1 a1)))) 19.598 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (fabs (cbrt 2)))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))))) 19.598 * * * * [progress]: [ 135 / 178 ] simplifiying candidate # 19.598 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 19.598 * * [simplify]: iters left: 6 (14 enodes) 19.604 * * [simplify]: iters left: 5 (46 enodes) 19.611 * * [simplify]: iters left: 4 (51 enodes) 19.619 * * [simplify]: iters left: 3 (55 enodes) 19.626 * * [simplify]: Extracting #0: cost 1 inf + 0 19.627 * * [simplify]: Extracting #1: cost 8 inf + 0 19.627 * * [simplify]: Extracting #2: cost 18 inf + 0 19.627 * * [simplify]: Extracting #3: cost 23 inf + 1 19.627 * * [simplify]: Extracting #4: cost 22 inf + 386 19.627 * * [simplify]: Extracting #5: cost 12 inf + 1117 19.627 * * [simplify]: Extracting #6: cost 3 inf + 2958 19.628 * * [simplify]: Extracting #7: cost 0 inf + 3968 19.628 * [simplify]: Simplified to (/ (cos th) (/ (fabs (cbrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 19.628 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (fabs (cbrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 19.629 * * * * [progress]: [ 136 / 178 ] simplifiying candidate # 19.629 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (* (cbrt 2) (cbrt 2))) 1)) 19.629 * * [simplify]: iters left: 6 (9 enodes) 19.633 * * [simplify]: iters left: 5 (29 enodes) 19.642 * * [simplify]: iters left: 4 (35 enodes) 19.649 * * [simplify]: iters left: 3 (39 enodes) 19.655 * * [simplify]: iters left: 2 (41 enodes) 19.661 * * [simplify]: iters left: 1 (46 enodes) 19.667 * * [simplify]: Extracting #0: cost 1 inf + 0 19.667 * * [simplify]: Extracting #1: cost 8 inf + 0 19.668 * * [simplify]: Extracting #2: cost 14 inf + 1 19.668 * * [simplify]: Extracting #3: cost 16 inf + 2 19.668 * * [simplify]: Extracting #4: cost 10 inf + 549 19.668 * * [simplify]: Extracting #5: cost 1 inf + 2064 19.668 * * [simplify]: Extracting #6: cost 0 inf + 2185 19.669 * [simplify]: Simplified to (/ (cos th) (fabs (cbrt 2))) 19.669 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (cos th) (fabs (cbrt 2))) (/ (sqrt (cbrt 2)) (+ (* a1 a1) (* a2 a2))))) 19.669 * * * * [progress]: [ 137 / 178 ] simplifiying candidate # 19.669 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 19.669 * * [simplify]: iters left: 6 (14 enodes) 19.673 * * [simplify]: iters left: 5 (47 enodes) 19.687 * * [simplify]: iters left: 4 (58 enodes) 19.699 * * [simplify]: iters left: 3 (70 enodes) 19.708 * * [simplify]: iters left: 2 (78 enodes) 19.719 * * [simplify]: iters left: 1 (84 enodes) 19.738 * * [simplify]: Extracting #0: cost 1 inf + 0 19.738 * * [simplify]: Extracting #1: cost 14 inf + 0 19.738 * * [simplify]: Extracting #2: cost 29 inf + 0 19.738 * * [simplify]: Extracting #3: cost 32 inf + 62 19.738 * * [simplify]: Extracting #4: cost 29 inf + 550 19.739 * * [simplify]: Extracting #5: cost 23 inf + 998 19.739 * * [simplify]: Extracting #6: cost 20 inf + 1343 19.740 * * [simplify]: Extracting #7: cost 8 inf + 4816 19.741 * * [simplify]: Extracting #8: cost 0 inf + 7682 19.742 * [simplify]: Simplified to (/ (cos th) (/ (/ (sqrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))) 19.742 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (/ (sqrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))))) 19.742 * * * * [progress]: [ 138 / 178 ] simplifiying candidate # 19.743 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 19.743 * * [simplify]: iters left: 6 (13 enodes) 19.746 * * [simplify]: iters left: 5 (42 enodes) 19.752 * * [simplify]: iters left: 4 (47 enodes) 19.759 * * [simplify]: iters left: 3 (51 enodes) 19.767 * * [simplify]: Extracting #0: cost 1 inf + 0 19.767 * * [simplify]: Extracting #1: cost 8 inf + 0 19.767 * * [simplify]: Extracting #2: cost 17 inf + 0 19.767 * * [simplify]: Extracting #3: cost 21 inf + 1 19.767 * * [simplify]: Extracting #4: cost 22 inf + 104 19.767 * * [simplify]: Extracting #5: cost 15 inf + 512 19.768 * * [simplify]: Extracting #6: cost 10 inf + 979 19.768 * * [simplify]: Extracting #7: cost 4 inf + 2234 19.769 * * [simplify]: Extracting #8: cost 0 inf + 3326 19.771 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2)))) 19.771 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 19.771 * * * * [progress]: [ 139 / 178 ] simplifiying candidate # 19.771 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) 1)) 19.771 * * [simplify]: iters left: 6 (8 enodes) 19.776 * * [simplify]: iters left: 5 (26 enodes) 19.785 * * [simplify]: iters left: 4 (30 enodes) 19.795 * * [simplify]: iters left: 3 (35 enodes) 19.807 * * [simplify]: iters left: 2 (37 enodes) 19.816 * * [simplify]: iters left: 1 (40 enodes) 19.822 * * [simplify]: Extracting #0: cost 1 inf + 0 19.822 * * [simplify]: Extracting #1: cost 6 inf + 0 19.822 * * [simplify]: Extracting #2: cost 10 inf + 1 19.822 * * [simplify]: Extracting #3: cost 11 inf + 2 19.822 * * [simplify]: Extracting #4: cost 8 inf + 105 19.822 * * [simplify]: Extracting #5: cost 2 inf + 733 19.823 * * [simplify]: Extracting #6: cost 0 inf + 1097 19.823 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 19.823 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (cos th) (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))))) 19.823 * * * * [progress]: [ 140 / 178 ] simplifiying candidate # 19.823 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 19.823 * * [simplify]: iters left: 6 (13 enodes) 19.827 * * [simplify]: iters left: 5 (46 enodes) 19.834 * * [simplify]: iters left: 4 (60 enodes) 19.843 * * [simplify]: iters left: 3 (84 enodes) 19.864 * * [simplify]: iters left: 2 (102 enodes) 19.880 * * [simplify]: iters left: 1 (128 enodes) 19.905 * * [simplify]: Extracting #0: cost 1 inf + 0 19.906 * * [simplify]: Extracting #1: cost 11 inf + 0 19.906 * * [simplify]: Extracting #2: cost 20 inf + 1 19.906 * * [simplify]: Extracting #3: cost 22 inf + 2 19.906 * * [simplify]: Extracting #4: cost 25 inf + 63 19.906 * * [simplify]: Extracting #5: cost 18 inf + 412 19.906 * * [simplify]: Extracting #6: cost 12 inf + 1284 19.907 * * [simplify]: Extracting #7: cost 4 inf + 3486 19.908 * * [simplify]: Extracting #8: cost 0 inf + 4658 19.909 * [simplify]: Simplified to (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cos th)) 19.909 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cos th)) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2)))))) 19.909 * * * * [progress]: [ 141 / 178 ] simplifiying candidate # 19.909 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 1) (sqrt (+ (* a1 a1) (* a2 a2))))) 19.910 * * [simplify]: iters left: 6 (12 enodes) 19.913 * * [simplify]: iters left: 5 (41 enodes) 19.919 * * [simplify]: iters left: 4 (46 enodes) 19.930 * * [simplify]: iters left: 3 (54 enodes) 19.944 * * [simplify]: iters left: 2 (56 enodes) 19.956 * * [simplify]: iters left: 1 (61 enodes) 19.964 * * [simplify]: Extracting #0: cost 1 inf + 0 19.964 * * [simplify]: Extracting #1: cost 8 inf + 0 19.964 * * [simplify]: Extracting #2: cost 13 inf + 1 19.964 * * [simplify]: Extracting #3: cost 15 inf + 2 19.964 * * [simplify]: Extracting #4: cost 17 inf + 165 19.964 * * [simplify]: Extracting #5: cost 9 inf + 494 19.964 * * [simplify]: Extracting #6: cost 5 inf + 1163 19.965 * * [simplify]: Extracting #7: cost 1 inf + 1994 19.965 * * [simplify]: Extracting #8: cost 0 inf + 2197 19.965 * [simplify]: Simplified to (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))) 19.965 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2)))))) 19.966 * * * * [progress]: [ 142 / 178 ] simplifiying candidate # 19.966 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 1) 1)) 19.966 * * [simplify]: iters left: 5 (6 enodes) 19.969 * * [simplify]: iters left: 4 (20 enodes) 19.971 * * [simplify]: iters left: 3 (22 enodes) 19.974 * * [simplify]: iters left: 2 (26 enodes) 19.977 * * [simplify]: iters left: 1 (28 enodes) 19.981 * * [simplify]: Extracting #0: cost 1 inf + 0 19.981 * * [simplify]: Extracting #1: cost 5 inf + 0 19.981 * * [simplify]: Extracting #2: cost 4 inf + 2 19.981 * * [simplify]: Extracting #3: cost 3 inf + 63 19.981 * * [simplify]: Extracting #4: cost 0 inf + 328 19.981 * [simplify]: Simplified to (cos th) 19.981 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 19.982 * * * * [progress]: [ 143 / 178 ] simplifiying candidate # 19.982 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 19.982 * * [simplify]: iters left: 6 (14 enodes) 19.988 * * [simplify]: iters left: 5 (47 enodes) 20.005 * * [simplify]: iters left: 4 (58 enodes) 20.016 * * [simplify]: iters left: 3 (70 enodes) 20.026 * * [simplify]: iters left: 2 (78 enodes) 20.037 * * [simplify]: iters left: 1 (84 enodes) 20.053 * * [simplify]: Extracting #0: cost 1 inf + 0 20.053 * * [simplify]: Extracting #1: cost 14 inf + 0 20.053 * * [simplify]: Extracting #2: cost 29 inf + 0 20.053 * * [simplify]: Extracting #3: cost 32 inf + 62 20.054 * * [simplify]: Extracting #4: cost 29 inf + 550 20.054 * * [simplify]: Extracting #5: cost 23 inf + 998 20.055 * * [simplify]: Extracting #6: cost 20 inf + 1343 20.056 * * [simplify]: Extracting #7: cost 8 inf + 4816 20.059 * * [simplify]: Extracting #8: cost 0 inf + 7682 20.061 * [simplify]: Simplified to (/ (cos th) (/ (/ (sqrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))) 20.061 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (/ (sqrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2)))))) 20.061 * * * * [progress]: [ 144 / 178 ] simplifiying candidate # 20.062 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 20.062 * * [simplify]: iters left: 6 (13 enodes) 20.068 * * [simplify]: iters left: 5 (42 enodes) 20.081 * * [simplify]: iters left: 4 (47 enodes) 20.095 * * [simplify]: iters left: 3 (51 enodes) 20.109 * * [simplify]: Extracting #0: cost 1 inf + 0 20.109 * * [simplify]: Extracting #1: cost 8 inf + 0 20.109 * * [simplify]: Extracting #2: cost 17 inf + 0 20.109 * * [simplify]: Extracting #3: cost 21 inf + 1 20.109 * * [simplify]: Extracting #4: cost 22 inf + 104 20.110 * * [simplify]: Extracting #5: cost 15 inf + 512 20.110 * * [simplify]: Extracting #6: cost 10 inf + 979 20.111 * * [simplify]: Extracting #7: cost 4 inf + 2234 20.112 * * [simplify]: Extracting #8: cost 0 inf + 3326 20.113 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2)))) 20.113 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 20.113 * * * * [progress]: [ 145 / 178 ] simplifiying candidate # 20.114 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) 1)) 20.114 * * [simplify]: iters left: 6 (8 enodes) 20.118 * * [simplify]: iters left: 5 (26 enodes) 20.129 * * [simplify]: iters left: 4 (30 enodes) 20.139 * * [simplify]: iters left: 3 (35 enodes) 20.148 * * [simplify]: iters left: 2 (37 enodes) 20.153 * * [simplify]: iters left: 1 (40 enodes) 20.159 * * [simplify]: Extracting #0: cost 1 inf + 0 20.159 * * [simplify]: Extracting #1: cost 6 inf + 0 20.159 * * [simplify]: Extracting #2: cost 10 inf + 1 20.159 * * [simplify]: Extracting #3: cost 11 inf + 2 20.159 * * [simplify]: Extracting #4: cost 8 inf + 105 20.159 * * [simplify]: Extracting #5: cost 2 inf + 733 20.159 * * [simplify]: Extracting #6: cost 0 inf + 1097 20.160 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 20.160 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (cos th) (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))))) 20.160 * * * * [progress]: [ 146 / 178 ] simplifiying candidate # 20.160 * [simplify]: Simplifying (/ (cos th) (/ 1 (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 20.160 * * [simplify]: iters left: 6 (12 enodes) 20.163 * * [simplify]: iters left: 5 (43 enodes) 20.170 * * [simplify]: iters left: 4 (52 enodes) 20.178 * * [simplify]: iters left: 3 (69 enodes) 20.198 * * [simplify]: iters left: 2 (82 enodes) 20.223 * * [simplify]: iters left: 1 (109 enodes) 20.254 * * [simplify]: Extracting #0: cost 1 inf + 0 20.254 * * [simplify]: Extracting #1: cost 11 inf + 0 20.254 * * [simplify]: Extracting #2: cost 20 inf + 1 20.254 * * [simplify]: Extracting #3: cost 22 inf + 2 20.255 * * [simplify]: Extracting #4: cost 25 inf + 63 20.255 * * [simplify]: Extracting #5: cost 18 inf + 412 20.255 * * [simplify]: Extracting #6: cost 10 inf + 1687 20.256 * * [simplify]: Extracting #7: cost 1 inf + 4375 20.257 * * [simplify]: Extracting #8: cost 0 inf + 4658 20.258 * [simplify]: Simplified to (* (cos th) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) 20.258 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (* (cos th) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2)))))) 20.258 * * * * [progress]: [ 147 / 178 ] simplifiying candidate # 20.258 * [simplify]: Simplifying (/ (cos th) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 20.258 * * [simplify]: iters left: 6 (11 enodes) 20.261 * * [simplify]: iters left: 5 (38 enodes) 20.267 * * [simplify]: iters left: 4 (41 enodes) 20.273 * * [simplify]: iters left: 3 (49 enodes) 20.281 * * [simplify]: iters left: 2 (51 enodes) 20.294 * * [simplify]: iters left: 1 (56 enodes) 20.308 * * [simplify]: Extracting #0: cost 1 inf + 0 20.309 * * [simplify]: Extracting #1: cost 8 inf + 0 20.309 * * [simplify]: Extracting #2: cost 13 inf + 1 20.309 * * [simplify]: Extracting #3: cost 15 inf + 2 20.309 * * [simplify]: Extracting #4: cost 17 inf + 124 20.309 * * [simplify]: Extracting #5: cost 13 inf + 330 20.309 * * [simplify]: Extracting #6: cost 8 inf + 616 20.310 * * [simplify]: Extracting #7: cost 1 inf + 1994 20.311 * * [simplify]: Extracting #8: cost 0 inf + 2197 20.312 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)) 20.312 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2)))))) 20.312 * * * * [progress]: [ 148 / 178 ] simplifiying candidate # 20.312 * [simplify]: Simplifying (/ (cos th) (/ 1 1)) 20.312 * * [simplify]: iters left: 4 (5 enodes) 20.315 * * [simplify]: iters left: 3 (15 enodes) 20.319 * * [simplify]: iters left: 2 (17 enodes) 20.324 * * [simplify]: iters left: 1 (19 enodes) 20.328 * * [simplify]: Extracting #0: cost 1 inf + 0 20.329 * * [simplify]: Extracting #1: cost 4 inf + 0 20.329 * * [simplify]: Extracting #2: cost 2 inf + 2 20.329 * * [simplify]: Extracting #3: cost 1 inf + 63 20.329 * * [simplify]: Extracting #4: cost 0 inf + 124 20.329 * [simplify]: Simplified to (cos th) 20.329 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 20.329 * * * * [progress]: [ 149 / 178 ] simplifiying candidate # 20.329 * [simplify]: Simplifying (/ (cos th) 1) 20.329 * * [simplify]: iters left: 3 (4 enodes) 20.332 * * [simplify]: iters left: 2 (12 enodes) 20.336 * * [simplify]: iters left: 1 (14 enodes) 20.340 * * [simplify]: Extracting #0: cost 1 inf + 0 20.340 * * [simplify]: Extracting #1: cost 4 inf + 0 20.340 * * [simplify]: Extracting #2: cost 2 inf + 2 20.340 * * [simplify]: Extracting #3: cost 1 inf + 63 20.340 * * [simplify]: Extracting #4: cost 0 inf + 124 20.341 * [simplify]: Simplified to (cos th) 20.341 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 20.341 * * * * [progress]: [ 150 / 178 ] simplifiying candidate # 20.341 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 20.341 * * [simplify]: iters left: 3 (5 enodes) 20.344 * * [simplify]: iters left: 2 (15 enodes) 20.349 * * [simplify]: Extracting #0: cost 1 inf + 0 20.349 * * [simplify]: Extracting #1: cost 4 inf + 0 20.349 * * [simplify]: Extracting #2: cost 8 inf + 0 20.349 * * [simplify]: Extracting #3: cost 4 inf + 84 20.349 * * [simplify]: Extracting #4: cost 0 inf + 490 20.349 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 20.349 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (cos th) (sqrt 2)) (/ 1 (+ (* a1 a1) (* a2 a2))))) 20.349 * * * * [progress]: [ 151 / 178 ] simplifiying candidate # 20.350 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 2) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))) 20.350 * * [simplify]: iters left: 6 (14 enodes) 20.358 * * [simplify]: iters left: 5 (61 enodes) 20.386 * * [simplify]: iters left: 4 (127 enodes) 20.438 * * [simplify]: iters left: 3 (289 enodes) 20.541 * * [simplify]: Extracting #0: cost 1 inf + 0 20.542 * * [simplify]: Extracting #1: cost 10 inf + 0 20.542 * * [simplify]: Extracting #2: cost 89 inf + 0 20.543 * * [simplify]: Extracting #3: cost 190 inf + 492 20.548 * * [simplify]: Extracting #4: cost 103 inf + 24167 20.560 * * [simplify]: Extracting #5: cost 25 inf + 49654 20.575 * * [simplify]: Extracting #6: cost 3 inf + 56898 20.595 * * [simplify]: Extracting #7: cost 0 inf + 58156 20.608 * [simplify]: Simplified to (/ (cos th) (/ (sqrt 2) (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))))) 20.608 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (sqrt 2) (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))))) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 20.608 * * * * [progress]: [ 152 / 178 ] simplifiying candidate # 20.609 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 2) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 20.609 * * [simplify]: iters left: 6 (13 enodes) 20.613 * * [simplify]: iters left: 5 (54 enodes) 20.622 * * [simplify]: iters left: 4 (99 enodes) 20.647 * * [simplify]: iters left: 3 (241 enodes) 20.744 * * [simplify]: Extracting #0: cost 1 inf + 0 20.745 * * [simplify]: Extracting #1: cost 46 inf + 0 20.745 * * [simplify]: Extracting #2: cost 176 inf + 0 20.746 * * [simplify]: Extracting #3: cost 235 inf + 656 20.749 * * [simplify]: Extracting #4: cost 128 inf + 22691 20.765 * * [simplify]: Extracting #5: cost 18 inf + 48916 20.779 * * [simplify]: Extracting #6: cost 0 inf + 53984 20.790 * [simplify]: Simplified to (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th)) (sqrt 2)) 20.790 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th)) (sqrt 2)) (- (* a1 a1) (* a2 a2)))) 20.790 * * * * [progress]: [ 153 / 178 ] simplifiying candidate # 20.790 * [simplify]: Simplifying (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cbrt (cos th))) 20.791 * * [simplify]: iters left: 6 (12 enodes) 20.794 * * [simplify]: iters left: 5 (39 enodes) 20.802 * * [simplify]: iters left: 4 (52 enodes) 20.816 * * [simplify]: iters left: 3 (70 enodes) 20.826 * * [simplify]: iters left: 2 (78 enodes) 20.835 * * [simplify]: Extracting #0: cost 1 inf + 0 20.835 * * [simplify]: Extracting #1: cost 8 inf + 0 20.835 * * [simplify]: Extracting #2: cost 20 inf + 0 20.835 * * [simplify]: Extracting #3: cost 29 inf + 1 20.835 * * [simplify]: Extracting #4: cost 24 inf + 188 20.836 * * [simplify]: Extracting #5: cost 6 inf + 3405 20.836 * * [simplify]: Extracting #6: cost 0 inf + 4738 20.837 * [simplify]: Simplified to (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cbrt (cos th))) 20.837 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cbrt (cos th))))) 20.837 * * * * [progress]: [ 154 / 178 ] simplifiying candidate # 20.837 * [simplify]: Simplifying (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt (cos th))) 20.837 * * [simplify]: iters left: 6 (12 enodes) 20.840 * * [simplify]: iters left: 5 (39 enodes) 20.850 * * [simplify]: iters left: 4 (52 enodes) 20.869 * * [simplify]: iters left: 3 (70 enodes) 20.883 * * [simplify]: iters left: 2 (78 enodes) 20.892 * * [simplify]: Extracting #0: cost 1 inf + 0 20.892 * * [simplify]: Extracting #1: cost 8 inf + 0 20.892 * * [simplify]: Extracting #2: cost 20 inf + 0 20.893 * * [simplify]: Extracting #3: cost 29 inf + 1 20.893 * * [simplify]: Extracting #4: cost 24 inf + 188 20.893 * * [simplify]: Extracting #5: cost 6 inf + 3005 20.894 * * [simplify]: Extracting #6: cost 0 inf + 4098 20.895 * [simplify]: Simplified to (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt (cos th))) 20.895 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (/ (sqrt (cos th)) (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt (cos th))))) 20.895 * * * * [progress]: [ 155 / 178 ] simplifiying candidate # 20.895 * [simplify]: Simplifying (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th)) 20.895 * * [simplify]: iters left: 6 (11 enodes) 20.898 * * [simplify]: iters left: 5 (36 enodes) 20.904 * * [simplify]: iters left: 4 (49 enodes) 20.916 * * [simplify]: iters left: 3 (67 enodes) 20.934 * * [simplify]: iters left: 2 (75 enodes) 20.950 * * [simplify]: Extracting #0: cost 1 inf + 0 20.950 * * [simplify]: Extracting #1: cost 8 inf + 0 20.950 * * [simplify]: Extracting #2: cost 20 inf + 0 20.950 * * [simplify]: Extracting #3: cost 25 inf + 63 20.950 * * [simplify]: Extracting #4: cost 18 inf + 433 20.951 * * [simplify]: Extracting #5: cost 2 inf + 2728 20.951 * * [simplify]: Extracting #6: cost 0 inf + 3336 20.952 * [simplify]: Simplified to (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 20.952 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))))) 20.952 * * * * [progress]: [ 156 / 178 ] simplifiying candidate # 20.952 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 20.952 * * [simplify]: iters left: 3 (5 enodes) 20.954 * * [simplify]: iters left: 2 (15 enodes) 20.956 * * [simplify]: Extracting #0: cost 1 inf + 0 20.956 * * [simplify]: Extracting #1: cost 4 inf + 0 20.956 * * [simplify]: Extracting #2: cost 8 inf + 0 20.956 * * [simplify]: Extracting #3: cost 4 inf + 84 20.957 * * [simplify]: Extracting #4: cost 0 inf + 490 20.957 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 20.957 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) 20.957 * * * * [progress]: [ 157 / 178 ] simplifiying candidate #real (real->posit16 (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))))> 20.957 * [simplify]: Simplifying (real->posit16 (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 20.957 * * [simplify]: iters left: 6 (12 enodes) 20.960 * * [simplify]: iters left: 5 (36 enodes) 20.971 * * [simplify]: iters left: 4 (49 enodes) 20.988 * * [simplify]: iters left: 3 (81 enodes) 21.012 * * [simplify]: iters left: 2 (116 enodes) 21.043 * * [simplify]: iters left: 1 (150 enodes) 21.079 * * [simplify]: Extracting #0: cost 1 inf + 0 21.079 * * [simplify]: Extracting #1: cost 2 inf + 0 21.079 * * [simplify]: Extracting #2: cost 10 inf + 0 21.079 * * [simplify]: Extracting #3: cost 41 inf + 0 21.080 * * [simplify]: Extracting #4: cost 43 inf + 1003 21.082 * * [simplify]: Extracting #5: cost 9 inf + 5738 21.085 * * [simplify]: Extracting #6: cost 0 inf + 7444 21.088 * [simplify]: Simplified to (real->posit16 (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 21.088 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (posit16->real (real->posit16 (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))) 21.088 * * * * [progress]: [ 158 / 178 ] simplifiying candidate # 21.088 * [simplify]: Simplifying (* (exp (* a1 a1)) (exp (* a2 a2))) 21.088 * * [simplify]: iters left: 5 (7 enodes) 21.091 * * [simplify]: iters left: 4 (28 enodes) 21.097 * * [simplify]: iters left: 3 (43 enodes) 21.105 * * [simplify]: iters left: 2 (75 enodes) 21.119 * * [simplify]: iters left: 1 (169 enodes) 21.174 * * [simplify]: Extracting #0: cost 1 inf + 0 21.174 * * [simplify]: Extracting #1: cost 28 inf + 0 21.174 * * [simplify]: Extracting #2: cost 119 inf + 0 21.175 * * [simplify]: Extracting #3: cost 136 inf + 1135 21.176 * * [simplify]: Extracting #4: cost 131 inf + 1568 21.177 * * [simplify]: Extracting #5: cost 99 inf + 8302 21.182 * * [simplify]: Extracting #6: cost 11 inf + 60490 21.196 * * [simplify]: Extracting #7: cost 0 inf + 69564 21.210 * [simplify]: Simplified to (exp (+ (* a1 a1) (* a2 a2))) 21.211 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (log (exp (+ (* a1 a1) (* a2 a2))))))) 21.211 * * * * [progress]: [ 159 / 178 ] simplifiying candidate # 21.211 * * * * [progress]: [ 160 / 178 ] simplifiying candidate # 21.211 * [simplify]: Simplifying (log (+ (* a1 a1) (* a2 a2))) 21.211 * * [simplify]: iters left: 5 (6 enodes) 21.214 * * [simplify]: iters left: 4 (19 enodes) 21.218 * * [simplify]: Extracting #0: cost 1 inf + 0 21.218 * * [simplify]: Extracting #1: cost 3 inf + 0 21.218 * * [simplify]: Extracting #2: cost 6 inf + 0 21.218 * * [simplify]: Extracting #3: cost 10 inf + 0 21.218 * * [simplify]: Extracting #4: cost 6 inf + 84 21.219 * * [simplify]: Extracting #5: cost 0 inf + 794 21.219 * [simplify]: Simplified to (log (+ (* a1 a1) (* a2 a2))) 21.219 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (exp (log (+ (* a1 a1) (* a2 a2))))))) 21.219 * * * * [progress]: [ 161 / 178 ] simplifiying candidate # 21.219 * [simplify]: Simplifying (exp (+ (* a1 a1) (* a2 a2))) 21.219 * * [simplify]: iters left: 5 (6 enodes) 21.220 * * [simplify]: iters left: 4 (22 enodes) 21.223 * * [simplify]: iters left: 3 (31 enodes) 21.228 * * [simplify]: iters left: 2 (42 enodes) 21.234 * * [simplify]: iters left: 1 (74 enodes) 21.250 * * [simplify]: Extracting #0: cost 1 inf + 0 21.250 * * [simplify]: Extracting #1: cost 14 inf + 0 21.251 * * [simplify]: Extracting #2: cost 56 inf + 0 21.251 * * [simplify]: Extracting #3: cost 68 inf + 266 21.252 * * [simplify]: Extracting #4: cost 52 inf + 1510 21.253 * * [simplify]: Extracting #5: cost 24 inf + 9668 21.257 * * [simplify]: Extracting #6: cost 2 inf + 19059 21.261 * * [simplify]: Extracting #7: cost 0 inf + 20186 21.263 * [simplify]: Simplified to (exp (+ (* a1 a1) (* a2 a2))) 21.263 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (log (exp (+ (* a1 a1) (* a2 a2))))))) 21.263 * * * * [progress]: [ 162 / 178 ] simplifiying candidate # 21.264 * [simplify]: Simplifying (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 21.264 * * [simplify]: iters left: 6 (7 enodes) 21.267 * * [simplify]: iters left: 5 (22 enodes) 21.270 * * [simplify]: Extracting #0: cost 1 inf + 0 21.270 * * [simplify]: Extracting #1: cost 3 inf + 0 21.270 * * [simplify]: Extracting #2: cost 5 inf + 0 21.270 * * [simplify]: Extracting #3: cost 8 inf + 0 21.270 * * [simplify]: Extracting #4: cost 12 inf + 0 21.270 * * [simplify]: Extracting #5: cost 10 inf + 2 21.270 * * [simplify]: Extracting #6: cost 1 inf + 1056 21.270 * * [simplify]: Extracting #7: cost 0 inf + 1298 21.270 * [simplify]: Simplified to (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 21.270 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 21.271 * [simplify]: Simplifying (cbrt (+ (* a1 a1) (* a2 a2))) 21.271 * * [simplify]: iters left: 5 (6 enodes) 21.272 * * [simplify]: iters left: 4 (19 enodes) 21.275 * * [simplify]: Extracting #0: cost 1 inf + 0 21.275 * * [simplify]: Extracting #1: cost 3 inf + 0 21.275 * * [simplify]: Extracting #2: cost 6 inf + 0 21.275 * * [simplify]: Extracting #3: cost 10 inf + 0 21.275 * * [simplify]: Extracting #4: cost 6 inf + 84 21.275 * * [simplify]: Extracting #5: cost 0 inf + 814 21.275 * [simplify]: Simplified to (cbrt (+ (* a1 a1) (* a2 a2))) 21.275 * [simplify]: Simplified (2 2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 21.275 * * * * [progress]: [ 163 / 178 ] simplifiying candidate # 21.276 * [simplify]: Simplifying (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) 21.276 * * [simplify]: iters left: 6 (7 enodes) 21.277 * * [simplify]: iters left: 5 (35 enodes) 21.286 * * [simplify]: iters left: 4 (125 enodes) 21.325 * * [simplify]: iters left: 3 (428 enodes) 21.656 * * [simplify]: Extracting #0: cost 1 inf + 0 21.656 * * [simplify]: Extracting #1: cost 25 inf + 0 21.657 * * [simplify]: Extracting #2: cost 163 inf + 1 21.658 * * [simplify]: Extracting #3: cost 202 inf + 2584 21.665 * * [simplify]: Extracting #4: cost 46 inf + 32681 21.684 * * [simplify]: Extracting #5: cost 0 inf + 44488 21.711 * [simplify]: Simplified to (* (+ (* a1 a1) (* a2 a2)) (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2)))) 21.711 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (cbrt (* (+ (* a1 a1) (* a2 a2)) (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2)))))))) 21.711 * * * * [progress]: [ 164 / 178 ] simplifiying candidate # 21.711 * [simplify]: Simplifying (sqrt (+ (* a1 a1) (* a2 a2))) 21.711 * * [simplify]: iters left: 5 (6 enodes) 21.714 * * [simplify]: iters left: 4 (19 enodes) 21.719 * * [simplify]: Extracting #0: cost 1 inf + 0 21.719 * * [simplify]: Extracting #1: cost 3 inf + 0 21.719 * * [simplify]: Extracting #2: cost 6 inf + 0 21.719 * * [simplify]: Extracting #3: cost 10 inf + 0 21.719 * * [simplify]: Extracting #4: cost 6 inf + 84 21.720 * * [simplify]: Extracting #5: cost 0 inf + 734 21.720 * [simplify]: Simplified to (sqrt (+ (* a1 a1) (* a2 a2))) 21.720 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 21.720 * [simplify]: Simplifying (sqrt (+ (* a1 a1) (* a2 a2))) 21.720 * * [simplify]: iters left: 5 (6 enodes) 21.723 * * [simplify]: iters left: 4 (19 enodes) 21.732 * * [simplify]: Extracting #0: cost 1 inf + 0 21.732 * * [simplify]: Extracting #1: cost 3 inf + 0 21.732 * * [simplify]: Extracting #2: cost 6 inf + 0 21.732 * * [simplify]: Extracting #3: cost 10 inf + 0 21.732 * * [simplify]: Extracting #4: cost 6 inf + 84 21.733 * * [simplify]: Extracting #5: cost 0 inf + 734 21.733 * [simplify]: Simplified to (sqrt (+ (* a1 a1) (* a2 a2))) 21.733 * [simplify]: Simplified (2 2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 21.733 * * * * [progress]: [ 165 / 178 ] simplifiying candidate # 21.733 * [simplify]: Simplifying (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) 21.733 * * [simplify]: iters left: 5 (8 enodes) 21.739 * * [simplify]: iters left: 4 (42 enodes) 21.751 * * [simplify]: iters left: 3 (97 enodes) 21.777 * * [simplify]: iters left: 2 (196 enodes) 21.853 * * [simplify]: iters left: 1 (394 enodes) 21.984 * * [simplify]: Extracting #0: cost 1 inf + 0 21.984 * * [simplify]: Extracting #1: cost 4 inf + 0 21.984 * * [simplify]: Extracting #2: cost 74 inf + 0 21.985 * * [simplify]: Extracting #3: cost 172 inf + 591 21.988 * * [simplify]: Extracting #4: cost 117 inf + 17593 21.996 * * [simplify]: Extracting #5: cost 40 inf + 48927 22.006 * * [simplify]: Extracting #6: cost 9 inf + 62956 22.017 * * [simplify]: Extracting #7: cost 0 inf + 67483 22.032 * [simplify]: Simplified to (+ (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))) 22.032 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (/ (+ (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 22.033 * [simplify]: Simplifying (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))) 22.033 * * [simplify]: iters left: 6 (9 enodes) 22.038 * * [simplify]: iters left: 5 (49 enodes) 22.057 * * [simplify]: iters left: 4 (116 enodes) 22.106 * * [simplify]: iters left: 3 (231 enodes) 22.198 * * [simplify]: iters left: 2 (363 enodes) 22.361 * * [simplify]: Extracting #0: cost 1 inf + 0 22.361 * * [simplify]: Extracting #1: cost 20 inf + 0 22.361 * * [simplify]: Extracting #2: cost 146 inf + 0 22.362 * * [simplify]: Extracting #3: cost 200 inf + 1989 22.367 * * [simplify]: Extracting #4: cost 63 inf + 22827 22.378 * * [simplify]: Extracting #5: cost 0 inf + 34174 22.391 * * [simplify]: Extracting #6: cost 0 inf + 34134 22.398 * [simplify]: Simplified to (+ (* (- (* a1 a1) (* a2 a2)) (* a1 a1)) (* (* a2 a2) (* a2 a2))) 22.398 * [simplify]: Simplified (2 2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (/ (+ (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))) (+ (* (- (* a1 a1) (* a2 a2)) (* a1 a1)) (* (* a2 a2) (* a2 a2))))))) 22.398 * * * * [progress]: [ 166 / 178 ] simplifiying candidate # 22.398 * * * * [progress]: [ 167 / 178 ] simplifiying candidate # 22.399 * [simplify]: Simplifying (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) 22.399 * * [simplify]: iters left: 6 (7 enodes) 22.401 * * [simplify]: iters left: 5 (34 enodes) 22.407 * * [simplify]: iters left: 4 (64 enodes) 22.419 * * [simplify]: iters left: 3 (120 enodes) 22.469 * * [simplify]: iters left: 2 (275 enodes) 22.595 * * [simplify]: Extracting #0: cost 1 inf + 0 22.595 * * [simplify]: Extracting #1: cost 48 inf + 0 22.596 * * [simplify]: Extracting #2: cost 148 inf + 0 22.598 * * [simplify]: Extracting #3: cost 190 inf + 1184 22.605 * * [simplify]: Extracting #4: cost 82 inf + 17861 22.616 * * [simplify]: Extracting #5: cost 5 inf + 34095 22.624 * * [simplify]: Extracting #6: cost 0 inf + 35697 22.631 * [simplify]: Simplified to (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) 22.631 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (- (* a1 a1) (* a2 a2)))))) 22.632 * [simplify]: Simplifying (- (* a1 a1) (* a2 a2)) 22.632 * * [simplify]: iters left: 4 (5 enodes) 22.633 * * [simplify]: iters left: 3 (20 enodes) 22.637 * * [simplify]: iters left: 2 (33 enodes) 22.642 * * [simplify]: iters left: 1 (50 enodes) 22.650 * * [simplify]: Extracting #0: cost 1 inf + 0 22.650 * * [simplify]: Extracting #1: cost 11 inf + 0 22.650 * * [simplify]: Extracting #2: cost 29 inf + 0 22.651 * * [simplify]: Extracting #3: cost 19 inf + 455 22.654 * * [simplify]: Extracting #4: cost 0 inf + 2130 22.654 * * [simplify]: Extracting #5: cost 0 inf + 1970 22.655 * [simplify]: Simplified to (* (+ a1 a2) (- a1 a2)) 22.655 * [simplify]: Simplified (2 2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (* (+ a1 a2) (- a1 a2)))))) 22.655 * * * * [progress]: [ 168 / 178 ] simplifiying candidate #real (real->posit16 (+ (* a1 a1) (* a2 a2)))))))> 22.655 * [simplify]: Simplifying (real->posit16 (+ (* a1 a1) (* a2 a2))) 22.655 * * [simplify]: iters left: 5 (6 enodes) 22.657 * * [simplify]: iters left: 4 (16 enodes) 22.659 * * [simplify]: Extracting #0: cost 1 inf + 0 22.659 * * [simplify]: Extracting #1: cost 2 inf + 0 22.659 * * [simplify]: Extracting #2: cost 4 inf + 0 22.659 * * [simplify]: Extracting #3: cost 8 inf + 0 22.659 * * [simplify]: Extracting #4: cost 4 inf + 84 22.659 * * [simplify]: Extracting #5: cost 0 inf + 410 22.659 * [simplify]: Simplified to (real->posit16 (+ (* a1 a1) (* a2 a2))) 22.659 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (posit16->real (real->posit16 (+ (* a1 a1) (* a2 a2))))))) 22.659 * * * * [progress]: [ 169 / 178 ] simplifiying candidate # 22.659 * * * * [progress]: [ 170 / 178 ] simplifiying candidate # 22.659 * [simplify]: Simplifying 0 22.659 * * [simplify]: iters left: 0 (1 enodes) 22.660 * * [simplify]: Extracting #0: cost 1 inf + 0 22.660 * * [simplify]: Extracting #1: cost 0 inf + 1 22.660 * [simplify]: Simplified to 0 22.660 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (/ (cos th) 0)) 22.660 * * * * [progress]: [ 171 / 178 ] simplifiying candidate # 22.660 * [simplify]: Simplifying 0 22.660 * * [simplify]: iters left: 0 (1 enodes) 22.661 * * [simplify]: Extracting #0: cost 1 inf + 0 22.661 * * [simplify]: Extracting #1: cost 0 inf + 1 22.661 * [simplify]: Simplified to 0 22.661 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (/ (cos th) 0)) 22.661 * * * * [progress]: [ 172 / 178 ] simplifiying candidate # 22.661 * [simplify]: Simplifying 0 22.661 * * [simplify]: iters left: 0 (1 enodes) 22.662 * * [simplify]: Extracting #0: cost 1 inf + 0 22.662 * * [simplify]: Extracting #1: cost 0 inf + 1 22.662 * [simplify]: Simplified to 0 22.662 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (/ (cos th) 0)) 22.662 * * * * [progress]: [ 173 / 178 ] simplifiying candidate # 22.662 * [simplify]: Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))) 22.662 * * [simplify]: iters left: 5 (9 enodes) 22.668 * * [simplify]: iters left: 4 (36 enodes) 22.679 * * [simplify]: iters left: 3 (44 enodes) 22.691 * * [simplify]: iters left: 2 (54 enodes) 22.705 * * [simplify]: iters left: 1 (60 enodes) 22.720 * * [simplify]: Extracting #0: cost 1 inf + 0 22.720 * * [simplify]: Extracting #1: cost 4 inf + 0 22.720 * * [simplify]: Extracting #2: cost 15 inf + 0 22.720 * * [simplify]: Extracting #3: cost 21 inf + 2 22.720 * * [simplify]: Extracting #4: cost 13 inf + 452 22.721 * * [simplify]: Extracting #5: cost 1 inf + 1797 22.722 * * [simplify]: Extracting #6: cost 0 inf + 1879 22.722 * [simplify]: Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) 22.722 * [simplify]: Simplified (2) to (λ (a1 a2 th) (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))) 22.722 * * * * [progress]: [ 174 / 178 ] simplifiying candidate # 22.723 * [simplify]: Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) 22.723 * * [simplify]: iters left: 6 (13 enodes) 22.728 * * [simplify]: iters left: 5 (54 enodes) 22.737 * * [simplify]: iters left: 4 (81 enodes) 22.749 * * [simplify]: iters left: 3 (120 enodes) 22.775 * * [simplify]: iters left: 2 (147 enodes) 22.795 * * [simplify]: iters left: 1 (185 enodes) 22.841 * * [simplify]: Extracting #0: cost 1 inf + 0 22.841 * * [simplify]: Extracting #1: cost 10 inf + 0 22.841 * * [simplify]: Extracting #2: cost 40 inf + 0 22.841 * * [simplify]: Extracting #3: cost 52 inf + 208 22.842 * * [simplify]: Extracting #4: cost 33 inf + 2486 22.843 * * [simplify]: Extracting #5: cost 0 inf + 7465 22.845 * [simplify]: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 22.845 * [simplify]: Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) 22.845 * * * * [progress]: [ 175 / 178 ] simplifiying candidate # 22.845 * [simplify]: Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) 22.845 * * [simplify]: iters left: 6 (13 enodes) 22.849 * * [simplify]: iters left: 5 (54 enodes) 22.858 * * [simplify]: iters left: 4 (81 enodes) 22.880 * * [simplify]: iters left: 3 (120 enodes) 22.906 * * [simplify]: iters left: 2 (147 enodes) 22.927 * * [simplify]: iters left: 1 (185 enodes) 22.983 * * [simplify]: Extracting #0: cost 1 inf + 0 22.983 * * [simplify]: Extracting #1: cost 10 inf + 0 22.983 * * [simplify]: Extracting #2: cost 40 inf + 0 22.983 * * [simplify]: Extracting #3: cost 52 inf + 208 22.984 * * [simplify]: Extracting #4: cost 33 inf + 2486 22.987 * * [simplify]: Extracting #5: cost 0 inf + 7465 22.990 * [simplify]: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 22.991 * [simplify]: Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) 22.991 * * * * [progress]: [ 176 / 178 ] simplifiying candidate # 22.991 * [simplify]: Simplifying (+ (pow a2 2) (pow a1 2)) 22.991 * * [simplify]: iters left: 3 (6 enodes) 22.995 * * [simplify]: iters left: 2 (27 enodes) 23.004 * * [simplify]: iters left: 1 (31 enodes) 23.012 * * [simplify]: Extracting #0: cost 1 inf + 0 23.012 * * [simplify]: Extracting #1: cost 4 inf + 0 23.012 * * [simplify]: Extracting #2: cost 9 inf + 0 23.012 * * [simplify]: Extracting #3: cost 6 inf + 3 23.012 * * [simplify]: Extracting #4: cost 1 inf + 370 23.012 * * [simplify]: Extracting #5: cost 0 inf + 411 23.012 * [simplify]: Simplified to (+ (* a2 a2) (* a1 a1)) 23.012 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) 23.013 * * * * [progress]: [ 177 / 178 ] simplifiying candidate # 23.013 * [simplify]: Simplifying (+ (pow a2 2) (pow a1 2)) 23.013 * * [simplify]: iters left: 3 (6 enodes) 23.017 * * [simplify]: iters left: 2 (27 enodes) 23.025 * * [simplify]: iters left: 1 (31 enodes) 23.033 * * [simplify]: Extracting #0: cost 1 inf + 0 23.033 * * [simplify]: Extracting #1: cost 4 inf + 0 23.034 * * [simplify]: Extracting #2: cost 9 inf + 0 23.034 * * [simplify]: Extracting #3: cost 6 inf + 3 23.034 * * [simplify]: Extracting #4: cost 1 inf + 370 23.034 * * [simplify]: Extracting #5: cost 0 inf + 411 23.034 * [simplify]: Simplified to (+ (* a2 a2) (* a1 a1)) 23.034 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) 23.034 * * * * [progress]: [ 178 / 178 ] simplifiying candidate # 23.035 * [simplify]: Simplifying (+ (pow a2 2) (pow a1 2)) 23.035 * * [simplify]: iters left: 3 (6 enodes) 23.038 * * [simplify]: iters left: 2 (27 enodes) 23.046 * * [simplify]: iters left: 1 (31 enodes) 23.054 * * [simplify]: Extracting #0: cost 1 inf + 0 23.054 * * [simplify]: Extracting #1: cost 4 inf + 0 23.054 * * [simplify]: Extracting #2: cost 9 inf + 0 23.054 * * [simplify]: Extracting #3: cost 6 inf + 3 23.055 * * [simplify]: Extracting #4: cost 1 inf + 370 23.055 * * [simplify]: Extracting #5: cost 0 inf + 411 23.055 * [simplify]: Simplified to (+ (* a2 a2) (* a1 a1)) 23.055 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) 23.055 * * * [progress]: adding candidates to table 25.029 * * [progress]: iteration 2 / 4 25.029 * * * [progress]: picking best candidate 25.060 * * * * [pick]: Picked # 25.060 * * * [progress]: localizing error 25.083 * * * [progress]: generating rewritten candidates 25.083 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 25.126 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 25.159 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 25.167 * * * [progress]: generating series expansions 25.167 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 25.168 * [backup-simplify]: Simplify (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) 25.168 * [approximate]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) in (a2 a1) around 0 25.168 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) in a1 25.168 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 25.168 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 25.168 * [taylor]: Taking taylor expansion of a2 in a1 25.168 * [backup-simplify]: Simplify a2 into a2 25.168 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.168 * [taylor]: Taking taylor expansion of a1 in a1 25.168 * [backup-simplify]: Simplify 0 into 0 25.168 * [backup-simplify]: Simplify 1 into 1 25.168 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.168 * [taylor]: Taking taylor expansion of 2 in a1 25.168 * [backup-simplify]: Simplify 2 into 2 25.169 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.169 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.169 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 25.170 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) 25.170 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) in a2 25.170 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 25.170 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.170 * [taylor]: Taking taylor expansion of a2 in a2 25.170 * [backup-simplify]: Simplify 0 into 0 25.170 * [backup-simplify]: Simplify 1 into 1 25.170 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.170 * [taylor]: Taking taylor expansion of a1 in a2 25.170 * [backup-simplify]: Simplify a1 into a1 25.170 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.170 * [taylor]: Taking taylor expansion of 2 in a2 25.170 * [backup-simplify]: Simplify 2 into 2 25.170 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.170 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.171 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2) 25.171 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2)) 25.171 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) in a2 25.171 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 25.171 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.171 * [taylor]: Taking taylor expansion of a2 in a2 25.171 * [backup-simplify]: Simplify 0 into 0 25.171 * [backup-simplify]: Simplify 1 into 1 25.171 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.171 * [taylor]: Taking taylor expansion of a1 in a2 25.171 * [backup-simplify]: Simplify a1 into a1 25.171 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.171 * [taylor]: Taking taylor expansion of 2 in a2 25.171 * [backup-simplify]: Simplify 2 into 2 25.171 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.172 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.172 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2) 25.172 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2)) 25.172 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 25.172 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.172 * [taylor]: Taking taylor expansion of a1 in a1 25.172 * [backup-simplify]: Simplify 0 into 0 25.172 * [backup-simplify]: Simplify 1 into 1 25.172 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.172 * [taylor]: Taking taylor expansion of 2 in a1 25.172 * [backup-simplify]: Simplify 2 into 2 25.173 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.173 * [backup-simplify]: Simplify (* 1 1) into 1 25.174 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.174 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 25.174 * [backup-simplify]: Simplify (+ 0 0) into 0 25.175 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.175 * [taylor]: Taking taylor expansion of 0 in a1 25.175 * [backup-simplify]: Simplify 0 into 0 25.175 * [backup-simplify]: Simplify 0 into 0 25.175 * [backup-simplify]: Simplify (* 1 1) into 1 25.176 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 25.176 * [backup-simplify]: Simplify (+ 1 0) into 1 25.177 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.179 * [backup-simplify]: Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2)) 25.179 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2)) in a1 25.179 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.179 * [taylor]: Taking taylor expansion of 2 in a1 25.179 * [backup-simplify]: Simplify 2 into 2 25.179 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.180 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.180 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.180 * [backup-simplify]: Simplify 0 into 0 25.181 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.182 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 25.182 * [backup-simplify]: Simplify (+ 0 0) into 0 25.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.185 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.185 * [taylor]: Taking taylor expansion of 0 in a1 25.185 * [backup-simplify]: Simplify 0 into 0 25.185 * [backup-simplify]: Simplify 0 into 0 25.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.185 * [backup-simplify]: Simplify 0 into 0 25.186 * [backup-simplify]: Simplify 0 into 0 25.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.187 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.187 * [backup-simplify]: Simplify 0 into 0 25.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.189 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 25.190 * [backup-simplify]: Simplify (+ 0 0) into 0 25.191 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.194 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.194 * [taylor]: Taking taylor expansion of 0 in a1 25.195 * [backup-simplify]: Simplify 0 into 0 25.195 * [backup-simplify]: Simplify 0 into 0 25.195 * [backup-simplify]: Simplify 0 into 0 25.200 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2)) (pow (* a1 1) 2)) (* (/ 1 (sqrt 2)) (pow (* 1 a2) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))) 25.201 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1))) (sqrt 2)) into (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2)) 25.201 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2)) in (a2 a1) around 0 25.201 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2)) in a1 25.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 25.201 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 25.201 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 25.201 * [taylor]: Taking taylor expansion of a2 in a1 25.201 * [backup-simplify]: Simplify a2 into a2 25.201 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.201 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 25.201 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 25.201 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.201 * [taylor]: Taking taylor expansion of a1 in a1 25.201 * [backup-simplify]: Simplify 0 into 0 25.201 * [backup-simplify]: Simplify 1 into 1 25.202 * [backup-simplify]: Simplify (* 1 1) into 1 25.202 * [backup-simplify]: Simplify (/ 1 1) into 1 25.202 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.202 * [taylor]: Taking taylor expansion of 2 in a1 25.202 * [backup-simplify]: Simplify 2 into 2 25.202 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.204 * [backup-simplify]: Simplify (+ 0 1) into 1 25.204 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.204 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2)) in a2 25.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 25.205 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 25.205 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.205 * [taylor]: Taking taylor expansion of a2 in a2 25.205 * [backup-simplify]: Simplify 0 into 0 25.205 * [backup-simplify]: Simplify 1 into 1 25.205 * [backup-simplify]: Simplify (* 1 1) into 1 25.205 * [backup-simplify]: Simplify (/ 1 1) into 1 25.205 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 25.205 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.205 * [taylor]: Taking taylor expansion of a1 in a2 25.206 * [backup-simplify]: Simplify a1 into a1 25.206 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.206 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.206 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.206 * [taylor]: Taking taylor expansion of 2 in a2 25.206 * [backup-simplify]: Simplify 2 into 2 25.206 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.207 * [backup-simplify]: Simplify (+ 1 0) into 1 25.208 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.208 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2)) in a2 25.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 25.208 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 25.208 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.208 * [taylor]: Taking taylor expansion of a2 in a2 25.208 * [backup-simplify]: Simplify 0 into 0 25.208 * [backup-simplify]: Simplify 1 into 1 25.209 * [backup-simplify]: Simplify (* 1 1) into 1 25.209 * [backup-simplify]: Simplify (/ 1 1) into 1 25.209 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 25.209 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.209 * [taylor]: Taking taylor expansion of a1 in a2 25.209 * [backup-simplify]: Simplify a1 into a1 25.209 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.209 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.209 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.209 * [taylor]: Taking taylor expansion of 2 in a2 25.209 * [backup-simplify]: Simplify 2 into 2 25.210 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.211 * [backup-simplify]: Simplify (+ 1 0) into 1 25.212 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.212 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2)) in a1 25.212 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.212 * [taylor]: Taking taylor expansion of 2 in a1 25.212 * [backup-simplify]: Simplify 2 into 2 25.212 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.214 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.215 * [backup-simplify]: Simplify (+ 0 0) into 0 25.216 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.216 * [taylor]: Taking taylor expansion of 0 in a1 25.216 * [backup-simplify]: Simplify 0 into 0 25.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.217 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2)) 25.217 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.218 * [backup-simplify]: Simplify (- (/ (/ 1 (pow a1 2)) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (* (pow a1 2) (sqrt 2))) 25.218 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2))) in a1 25.218 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 25.218 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.218 * [taylor]: Taking taylor expansion of a1 in a1 25.218 * [backup-simplify]: Simplify 0 into 0 25.218 * [backup-simplify]: Simplify 1 into 1 25.218 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.218 * [taylor]: Taking taylor expansion of 2 in a1 25.218 * [backup-simplify]: Simplify 2 into 2 25.219 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.219 * [backup-simplify]: Simplify (* 1 1) into 1 25.220 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 25.220 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.221 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.221 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.223 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 25.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 25.223 * [backup-simplify]: Simplify (+ 0 0) into 0 25.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.225 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0 25.225 * [taylor]: Taking taylor expansion of 0 in a1 25.225 * [backup-simplify]: Simplify 0 into 0 25.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 25.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.227 * [backup-simplify]: Simplify 0 into 0 25.227 * [backup-simplify]: Simplify 0 into 0 25.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.228 * [backup-simplify]: Simplify 0 into 0 25.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 25.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.229 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 25.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 25.230 * [backup-simplify]: Simplify (+ 0 0) into 0 25.230 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.233 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.233 * [taylor]: Taking taylor expansion of 0 in a1 25.233 * [backup-simplify]: Simplify 0 into 0 25.233 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 25.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.235 * [backup-simplify]: Simplify 0 into 0 25.235 * [backup-simplify]: Simplify 0 into 0 25.236 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.236 * [backup-simplify]: Simplify 0 into 0 25.238 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2)) (pow (* 1 (/ 1 (/ 1 a2))) 2)) (* (/ 1 (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))) 25.238 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1)))) (sqrt 2)) into (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2)) 25.238 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2)) in (a2 a1) around 0 25.238 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2)) in a1 25.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 25.238 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 25.238 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 25.238 * [taylor]: Taking taylor expansion of a2 in a1 25.238 * [backup-simplify]: Simplify a2 into a2 25.238 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.238 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 25.238 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 25.238 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.238 * [taylor]: Taking taylor expansion of a1 in a1 25.238 * [backup-simplify]: Simplify 0 into 0 25.238 * [backup-simplify]: Simplify 1 into 1 25.239 * [backup-simplify]: Simplify (* 1 1) into 1 25.239 * [backup-simplify]: Simplify (/ 1 1) into 1 25.239 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.239 * [taylor]: Taking taylor expansion of 2 in a1 25.239 * [backup-simplify]: Simplify 2 into 2 25.239 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.240 * [backup-simplify]: Simplify (+ 0 1) into 1 25.240 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.240 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2)) in a2 25.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 25.240 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 25.240 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.240 * [taylor]: Taking taylor expansion of a2 in a2 25.240 * [backup-simplify]: Simplify 0 into 0 25.240 * [backup-simplify]: Simplify 1 into 1 25.241 * [backup-simplify]: Simplify (* 1 1) into 1 25.241 * [backup-simplify]: Simplify (/ 1 1) into 1 25.241 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 25.241 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.241 * [taylor]: Taking taylor expansion of a1 in a2 25.241 * [backup-simplify]: Simplify a1 into a1 25.241 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.241 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.241 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.241 * [taylor]: Taking taylor expansion of 2 in a2 25.241 * [backup-simplify]: Simplify 2 into 2 25.241 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.242 * [backup-simplify]: Simplify (+ 1 0) into 1 25.243 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.243 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2)) in a2 25.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 25.243 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 25.243 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.243 * [taylor]: Taking taylor expansion of a2 in a2 25.244 * [backup-simplify]: Simplify 0 into 0 25.244 * [backup-simplify]: Simplify 1 into 1 25.244 * [backup-simplify]: Simplify (* 1 1) into 1 25.244 * [backup-simplify]: Simplify (/ 1 1) into 1 25.244 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 25.244 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.244 * [taylor]: Taking taylor expansion of a1 in a2 25.244 * [backup-simplify]: Simplify a1 into a1 25.244 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.245 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.245 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.245 * [taylor]: Taking taylor expansion of 2 in a2 25.245 * [backup-simplify]: Simplify 2 into 2 25.245 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.246 * [backup-simplify]: Simplify (+ 1 0) into 1 25.247 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.247 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2)) in a1 25.247 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.247 * [taylor]: Taking taylor expansion of 2 in a1 25.247 * [backup-simplify]: Simplify 2 into 2 25.248 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.249 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.251 * [backup-simplify]: Simplify (+ 0 0) into 0 25.252 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.252 * [taylor]: Taking taylor expansion of 0 in a1 25.252 * [backup-simplify]: Simplify 0 into 0 25.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.254 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2)) 25.255 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.257 * [backup-simplify]: Simplify (- (/ (/ 1 (pow a1 2)) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (* (pow a1 2) (sqrt 2))) 25.257 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a1 2) (sqrt 2))) in a1 25.257 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 25.257 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.257 * [taylor]: Taking taylor expansion of a1 in a1 25.257 * [backup-simplify]: Simplify 0 into 0 25.257 * [backup-simplify]: Simplify 1 into 1 25.257 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.257 * [taylor]: Taking taylor expansion of 2 in a1 25.257 * [backup-simplify]: Simplify 2 into 2 25.258 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.258 * [backup-simplify]: Simplify (* 1 1) into 1 25.259 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 25.260 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.260 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.261 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.262 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 25.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 25.262 * [backup-simplify]: Simplify (+ 0 0) into 0 25.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.265 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0 25.265 * [taylor]: Taking taylor expansion of 0 in a1 25.265 * [backup-simplify]: Simplify 0 into 0 25.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 25.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.266 * [backup-simplify]: Simplify 0 into 0 25.266 * [backup-simplify]: Simplify 0 into 0 25.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.267 * [backup-simplify]: Simplify 0 into 0 25.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 25.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.269 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 25.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 25.269 * [backup-simplify]: Simplify (+ 0 0) into 0 25.270 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.272 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.272 * [taylor]: Taking taylor expansion of 0 in a1 25.272 * [backup-simplify]: Simplify 0 into 0 25.273 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 25.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.274 * [backup-simplify]: Simplify 0 into 0 25.274 * [backup-simplify]: Simplify 0 into 0 25.275 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.276 * [backup-simplify]: Simplify 0 into 0 25.277 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2)) (pow (* 1 (/ 1 (/ 1 (- a2)))) 2)) (* (/ 1 (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))) 25.277 * * * * [progress]: [ 2 / 3 ] generating series at (2) 25.278 * [backup-simplify]: Simplify (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) 25.278 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in (th a2 a1) around 0 25.278 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in a1 25.278 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1 25.278 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 25.278 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 25.278 * [taylor]: Taking taylor expansion of a2 in a1 25.278 * [backup-simplify]: Simplify a2 into a2 25.278 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.278 * [taylor]: Taking taylor expansion of a1 in a1 25.278 * [backup-simplify]: Simplify 0 into 0 25.278 * [backup-simplify]: Simplify 1 into 1 25.278 * [taylor]: Taking taylor expansion of (cos th) in a1 25.278 * [taylor]: Taking taylor expansion of th in a1 25.278 * [backup-simplify]: Simplify th into th 25.278 * [backup-simplify]: Simplify (cos th) into (cos th) 25.278 * [backup-simplify]: Simplify (sin th) into (sin th) 25.278 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.278 * [taylor]: Taking taylor expansion of 2 in a1 25.278 * [backup-simplify]: Simplify 2 into 2 25.278 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.279 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.279 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 25.279 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 25.279 * [backup-simplify]: Simplify (* (sin th) 0) into 0 25.279 * [backup-simplify]: Simplify (- 0) into 0 25.279 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 25.279 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2)) 25.280 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 25.280 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in a2 25.280 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2 25.280 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 25.280 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.280 * [taylor]: Taking taylor expansion of a2 in a2 25.280 * [backup-simplify]: Simplify 0 into 0 25.280 * [backup-simplify]: Simplify 1 into 1 25.280 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.280 * [taylor]: Taking taylor expansion of a1 in a2 25.280 * [backup-simplify]: Simplify a1 into a1 25.280 * [taylor]: Taking taylor expansion of (cos th) in a2 25.280 * [taylor]: Taking taylor expansion of th in a2 25.280 * [backup-simplify]: Simplify th into th 25.280 * [backup-simplify]: Simplify (cos th) into (cos th) 25.280 * [backup-simplify]: Simplify (sin th) into (sin th) 25.280 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.280 * [taylor]: Taking taylor expansion of 2 in a2 25.280 * [backup-simplify]: Simplify 2 into 2 25.280 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.281 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.281 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2) 25.281 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 25.281 * [backup-simplify]: Simplify (* (sin th) 0) into 0 25.281 * [backup-simplify]: Simplify (- 0) into 0 25.281 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 25.281 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th)) 25.282 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 25.282 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in th 25.282 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th 25.282 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 25.282 * [taylor]: Taking taylor expansion of (pow a2 2) in th 25.282 * [taylor]: Taking taylor expansion of a2 in th 25.282 * [backup-simplify]: Simplify a2 into a2 25.282 * [taylor]: Taking taylor expansion of (pow a1 2) in th 25.282 * [taylor]: Taking taylor expansion of a1 in th 25.282 * [backup-simplify]: Simplify a1 into a1 25.282 * [taylor]: Taking taylor expansion of (cos th) in th 25.282 * [taylor]: Taking taylor expansion of th in th 25.282 * [backup-simplify]: Simplify 0 into 0 25.282 * [backup-simplify]: Simplify 1 into 1 25.282 * [taylor]: Taking taylor expansion of (sqrt 2) in th 25.282 * [taylor]: Taking taylor expansion of 2 in th 25.282 * [backup-simplify]: Simplify 2 into 2 25.282 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.283 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.283 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.283 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2)) 25.283 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2)) 25.283 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) 25.283 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in th 25.283 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th 25.283 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 25.283 * [taylor]: Taking taylor expansion of (pow a2 2) in th 25.283 * [taylor]: Taking taylor expansion of a2 in th 25.283 * [backup-simplify]: Simplify a2 into a2 25.283 * [taylor]: Taking taylor expansion of (pow a1 2) in th 25.283 * [taylor]: Taking taylor expansion of a1 in th 25.283 * [backup-simplify]: Simplify a1 into a1 25.283 * [taylor]: Taking taylor expansion of (cos th) in th 25.283 * [taylor]: Taking taylor expansion of th in th 25.283 * [backup-simplify]: Simplify 0 into 0 25.283 * [backup-simplify]: Simplify 1 into 1 25.283 * [taylor]: Taking taylor expansion of (sqrt 2) in th 25.283 * [taylor]: Taking taylor expansion of 2 in th 25.283 * [backup-simplify]: Simplify 2 into 2 25.284 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.284 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.284 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.284 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2)) 25.284 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2)) 25.285 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) 25.285 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) in a2 25.285 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 25.285 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.285 * [taylor]: Taking taylor expansion of a2 in a2 25.285 * [backup-simplify]: Simplify 0 into 0 25.285 * [backup-simplify]: Simplify 1 into 1 25.285 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.285 * [taylor]: Taking taylor expansion of a1 in a2 25.285 * [backup-simplify]: Simplify a1 into a1 25.285 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.285 * [taylor]: Taking taylor expansion of 2 in a2 25.285 * [backup-simplify]: Simplify 2 into 2 25.285 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.286 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.286 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2) 25.286 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2)) 25.286 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 25.286 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.286 * [taylor]: Taking taylor expansion of a1 in a1 25.286 * [backup-simplify]: Simplify 0 into 0 25.286 * [backup-simplify]: Simplify 1 into 1 25.286 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.286 * [taylor]: Taking taylor expansion of 2 in a1 25.286 * [backup-simplify]: Simplify 2 into 2 25.286 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.287 * [backup-simplify]: Simplify (* 1 1) into 1 25.288 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.288 * [backup-simplify]: Simplify (+ 0) into 0 25.288 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 25.288 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 25.288 * [backup-simplify]: Simplify (+ 0 0) into 0 25.288 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) 0) (* 0 1)) into 0 25.289 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.289 * [taylor]: Taking taylor expansion of 0 in a2 25.289 * [backup-simplify]: Simplify 0 into 0 25.290 * [taylor]: Taking taylor expansion of 0 in a1 25.290 * [backup-simplify]: Simplify 0 into 0 25.290 * [backup-simplify]: Simplify 0 into 0 25.290 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 25.290 * [backup-simplify]: Simplify (+ 0 0) into 0 25.291 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.291 * [taylor]: Taking taylor expansion of 0 in a1 25.291 * [backup-simplify]: Simplify 0 into 0 25.291 * [backup-simplify]: Simplify 0 into 0 25.292 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 25.293 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 25.293 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 25.294 * [backup-simplify]: Simplify (+ 0 0) into 0 25.294 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/2 (pow a2 2)) (* 1/2 (pow a1 2)))) 25.296 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.298 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (pow a2 2)) (* 1/2 (pow a1 2)))) (sqrt 2)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) 25.298 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) in a2 25.298 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a2 25.298 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2 25.298 * [taylor]: Taking taylor expansion of 1/2 in a2 25.298 * [backup-simplify]: Simplify 1/2 into 1/2 25.298 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 25.298 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.298 * [taylor]: Taking taylor expansion of a2 in a2 25.298 * [backup-simplify]: Simplify 0 into 0 25.298 * [backup-simplify]: Simplify 1 into 1 25.298 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.299 * [taylor]: Taking taylor expansion of 2 in a2 25.299 * [backup-simplify]: Simplify 2 into 2 25.299 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.300 * [backup-simplify]: Simplify (* 1 1) into 1 25.303 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a2 25.303 * [taylor]: Taking taylor expansion of 1/2 in a2 25.303 * [backup-simplify]: Simplify 1/2 into 1/2 25.303 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a2 25.303 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.303 * [taylor]: Taking taylor expansion of a1 in a2 25.303 * [backup-simplify]: Simplify a1 into a1 25.303 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.303 * [taylor]: Taking taylor expansion of 2 in a2 25.303 * [backup-simplify]: Simplify 2 into 2 25.304 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.305 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.305 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2)) 25.305 * [backup-simplify]: Simplify (* 1/2 (/ (pow a1 2) (sqrt 2))) into (* 1/2 (/ (pow a1 2) (sqrt 2))) 25.306 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ (pow a1 2) (sqrt 2)))) into (* 1/2 (/ (pow a1 2) (sqrt 2))) 25.307 * [backup-simplify]: Simplify (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) 25.307 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1 25.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1 25.307 * [taylor]: Taking taylor expansion of 1/2 in a1 25.307 * [backup-simplify]: Simplify 1/2 into 1/2 25.307 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 25.307 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.307 * [taylor]: Taking taylor expansion of a1 in a1 25.307 * [backup-simplify]: Simplify 0 into 0 25.307 * [backup-simplify]: Simplify 1 into 1 25.307 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.307 * [taylor]: Taking taylor expansion of 2 in a1 25.307 * [backup-simplify]: Simplify 2 into 2 25.307 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.308 * [backup-simplify]: Simplify (* 1 1) into 1 25.309 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.309 * [taylor]: Taking taylor expansion of 0 in a1 25.309 * [backup-simplify]: Simplify 0 into 0 25.309 * [backup-simplify]: Simplify 0 into 0 25.310 * [backup-simplify]: Simplify (* 1 1) into 1 25.310 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 25.311 * [backup-simplify]: Simplify (+ 1 0) into 1 25.312 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.314 * [backup-simplify]: Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2)) 25.314 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2)) in a1 25.314 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.314 * [taylor]: Taking taylor expansion of 2 in a1 25.314 * [backup-simplify]: Simplify 2 into 2 25.314 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.316 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.317 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.317 * [backup-simplify]: Simplify 0 into 0 25.317 * [backup-simplify]: Simplify 0 into 0 25.318 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 25.319 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 25.320 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 25.320 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 25.321 * [backup-simplify]: Simplify (+ 0 0) into 0 25.322 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 25.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.327 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) (/ 0 (sqrt 2))))) into 0 25.327 * [taylor]: Taking taylor expansion of 0 in a2 25.327 * [backup-simplify]: Simplify 0 into 0 25.327 * [taylor]: Taking taylor expansion of 0 in a1 25.327 * [backup-simplify]: Simplify 0 into 0 25.327 * [backup-simplify]: Simplify 0 into 0 25.327 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 25.329 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (pow a1 2) (sqrt 2)))) into 0 25.330 * [backup-simplify]: Simplify (+ 0 0) into 0 25.330 * [backup-simplify]: Simplify (- 0) into 0 25.330 * [taylor]: Taking taylor expansion of 0 in a1 25.330 * [backup-simplify]: Simplify 0 into 0 25.330 * [backup-simplify]: Simplify 0 into 0 25.330 * [taylor]: Taking taylor expansion of 0 in a1 25.330 * [backup-simplify]: Simplify 0 into 0 25.330 * [backup-simplify]: Simplify 0 into 0 25.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.332 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 25.332 * [backup-simplify]: Simplify (+ 0 0) into 0 25.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.336 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.336 * [taylor]: Taking taylor expansion of 0 in a1 25.336 * [backup-simplify]: Simplify 0 into 0 25.336 * [backup-simplify]: Simplify 0 into 0 25.336 * [backup-simplify]: Simplify 0 into 0 25.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.337 * [backup-simplify]: Simplify 0 into 0 25.340 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2)) (pow (* a1 (* 1 1)) 2)) (* (/ 1 (sqrt 2)) (pow (* 1 (* a2 1)) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))) 25.340 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (/ (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1))) (sqrt 2))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 25.340 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in (th a2 a1) around 0 25.340 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1 25.340 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 25.341 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 25.341 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 25.341 * [taylor]: Taking taylor expansion of th in a1 25.341 * [backup-simplify]: Simplify th into th 25.341 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 25.341 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 25.341 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 25.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 25.341 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 25.341 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 25.341 * [taylor]: Taking taylor expansion of a2 in a1 25.341 * [backup-simplify]: Simplify a2 into a2 25.341 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.341 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 25.341 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 25.341 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.341 * [taylor]: Taking taylor expansion of a1 in a1 25.341 * [backup-simplify]: Simplify 0 into 0 25.341 * [backup-simplify]: Simplify 1 into 1 25.342 * [backup-simplify]: Simplify (* 1 1) into 1 25.342 * [backup-simplify]: Simplify (/ 1 1) into 1 25.342 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.342 * [taylor]: Taking taylor expansion of 2 in a1 25.342 * [backup-simplify]: Simplify 2 into 2 25.342 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.343 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 25.343 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 25.343 * [backup-simplify]: Simplify (- 0) into 0 25.343 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 25.343 * [backup-simplify]: Simplify (+ 0 1) into 1 25.343 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 25.344 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 25.344 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a2 25.344 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 25.344 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 25.344 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 25.344 * [taylor]: Taking taylor expansion of th in a2 25.344 * [backup-simplify]: Simplify th into th 25.344 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 25.344 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 25.344 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 25.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 25.344 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 25.344 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.344 * [taylor]: Taking taylor expansion of a2 in a2 25.344 * [backup-simplify]: Simplify 0 into 0 25.344 * [backup-simplify]: Simplify 1 into 1 25.344 * [backup-simplify]: Simplify (* 1 1) into 1 25.344 * [backup-simplify]: Simplify (/ 1 1) into 1 25.345 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 25.345 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.345 * [taylor]: Taking taylor expansion of a1 in a2 25.345 * [backup-simplify]: Simplify a1 into a1 25.345 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.345 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.345 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.345 * [taylor]: Taking taylor expansion of 2 in a2 25.345 * [backup-simplify]: Simplify 2 into 2 25.345 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.345 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 25.345 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 25.346 * [backup-simplify]: Simplify (- 0) into 0 25.346 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 25.346 * [backup-simplify]: Simplify (+ 1 0) into 1 25.346 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 25.346 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 25.346 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in th 25.346 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 25.346 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 25.346 * [taylor]: Taking taylor expansion of (/ 1 th) in th 25.346 * [taylor]: Taking taylor expansion of th in th 25.346 * [backup-simplify]: Simplify 0 into 0 25.346 * [backup-simplify]: Simplify 1 into 1 25.347 * [backup-simplify]: Simplify (/ 1 1) into 1 25.347 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 25.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 25.347 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 25.347 * [taylor]: Taking taylor expansion of (pow a2 2) in th 25.347 * [taylor]: Taking taylor expansion of a2 in th 25.347 * [backup-simplify]: Simplify a2 into a2 25.347 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.347 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 25.347 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 25.347 * [taylor]: Taking taylor expansion of (pow a1 2) in th 25.347 * [taylor]: Taking taylor expansion of a1 in th 25.347 * [backup-simplify]: Simplify a1 into a1 25.347 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.347 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.347 * [taylor]: Taking taylor expansion of (sqrt 2) in th 25.347 * [taylor]: Taking taylor expansion of 2 in th 25.347 * [backup-simplify]: Simplify 2 into 2 25.348 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.348 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 25.348 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 25.349 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 25.349 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in th 25.349 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 25.349 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 25.349 * [taylor]: Taking taylor expansion of (/ 1 th) in th 25.349 * [taylor]: Taking taylor expansion of th in th 25.349 * [backup-simplify]: Simplify 0 into 0 25.349 * [backup-simplify]: Simplify 1 into 1 25.349 * [backup-simplify]: Simplify (/ 1 1) into 1 25.349 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 25.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 25.349 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 25.349 * [taylor]: Taking taylor expansion of (pow a2 2) in th 25.349 * [taylor]: Taking taylor expansion of a2 in th 25.349 * [backup-simplify]: Simplify a2 into a2 25.349 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.349 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 25.349 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 25.349 * [taylor]: Taking taylor expansion of (pow a1 2) in th 25.349 * [taylor]: Taking taylor expansion of a1 in th 25.349 * [backup-simplify]: Simplify a1 into a1 25.349 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.349 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.349 * [taylor]: Taking taylor expansion of (sqrt 2) in th 25.349 * [taylor]: Taking taylor expansion of 2 in th 25.349 * [backup-simplify]: Simplify 2 into 2 25.350 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.350 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 25.350 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 25.351 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 25.351 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a2 25.351 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 25.351 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 25.351 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 25.351 * [taylor]: Taking taylor expansion of th in a2 25.351 * [backup-simplify]: Simplify th into th 25.351 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 25.351 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 25.351 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 25.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 25.351 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 25.351 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.351 * [taylor]: Taking taylor expansion of a2 in a2 25.351 * [backup-simplify]: Simplify 0 into 0 25.351 * [backup-simplify]: Simplify 1 into 1 25.351 * [backup-simplify]: Simplify (* 1 1) into 1 25.351 * [backup-simplify]: Simplify (/ 1 1) into 1 25.351 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 25.351 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.352 * [taylor]: Taking taylor expansion of a1 in a2 25.352 * [backup-simplify]: Simplify a1 into a1 25.352 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.352 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.352 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.352 * [taylor]: Taking taylor expansion of 2 in a2 25.352 * [backup-simplify]: Simplify 2 into 2 25.352 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.352 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 25.352 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 25.353 * [backup-simplify]: Simplify (- 0) into 0 25.353 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 25.353 * [backup-simplify]: Simplify (+ 1 0) into 1 25.353 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 25.353 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 25.353 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1 25.353 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 25.353 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 25.354 * [taylor]: Taking taylor expansion of th in a1 25.354 * [backup-simplify]: Simplify th into th 25.354 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 25.354 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 25.354 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 25.354 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.354 * [taylor]: Taking taylor expansion of 2 in a1 25.354 * [backup-simplify]: Simplify 2 into 2 25.354 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.355 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 25.355 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 25.355 * [backup-simplify]: Simplify (- 0) into 0 25.355 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 25.355 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 25.355 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 25.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 25.355 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 25.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 25.356 * [backup-simplify]: Simplify (+ 0 0) into 0 25.356 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0 25.357 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.357 * [taylor]: Taking taylor expansion of 0 in a2 25.357 * [backup-simplify]: Simplify 0 into 0 25.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.358 * [backup-simplify]: Simplify (+ 0 0) into 0 25.358 * [backup-simplify]: Simplify (+ 0) into 0 25.359 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 25.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 25.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 25.360 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 25.360 * [backup-simplify]: Simplify (- 0) into 0 25.360 * [backup-simplify]: Simplify (+ 0 0) into 0 25.360 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 25.361 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.361 * [taylor]: Taking taylor expansion of 0 in a1 25.361 * [backup-simplify]: Simplify 0 into 0 25.362 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 25.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 25.362 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 25.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 25.362 * [backup-simplify]: Simplify (+ 0 0) into 0 25.363 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 25.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.365 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.365 * [taylor]: Taking taylor expansion of 0 in a2 25.365 * [backup-simplify]: Simplify 0 into 0 25.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.366 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2)) 25.367 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 25.367 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 25.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 25.368 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 25.368 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 25.368 * [backup-simplify]: Simplify (- 0) into 0 25.368 * [backup-simplify]: Simplify (+ 0 0) into 0 25.369 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a1 2)) 25.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.371 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a1 2)) (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) 25.371 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in a1 25.371 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 25.371 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 25.371 * [taylor]: Taking taylor expansion of th in a1 25.371 * [backup-simplify]: Simplify th into th 25.371 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 25.371 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 25.371 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 25.371 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in a1 25.371 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.371 * [taylor]: Taking taylor expansion of 2 in a1 25.371 * [backup-simplify]: Simplify 2 into 2 25.371 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.372 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.372 * [taylor]: Taking taylor expansion of a1 in a1 25.372 * [backup-simplify]: Simplify 0 into 0 25.372 * [backup-simplify]: Simplify 1 into 1 25.372 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 25.372 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 25.372 * [backup-simplify]: Simplify (- 0) into 0 25.372 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 25.372 * [backup-simplify]: Simplify (* 1 1) into 1 25.373 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 25.373 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 25.373 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 25.374 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 25.374 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 25.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 25.376 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 25.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 25.376 * [backup-simplify]: Simplify (+ 0 0) into 0 25.377 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0 25.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.381 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.381 * [taylor]: Taking taylor expansion of 0 in a2 25.381 * [backup-simplify]: Simplify 0 into 0 25.381 * [taylor]: Taking taylor expansion of 0 in a1 25.381 * [backup-simplify]: Simplify 0 into 0 25.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.383 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 25.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 25.384 * [backup-simplify]: Simplify (+ 0 0) into 0 25.385 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 25.386 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 25.388 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 25.388 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 25.389 * [backup-simplify]: Simplify (- 0) into 0 25.389 * [backup-simplify]: Simplify (+ 0 0) into 0 25.390 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1)))) into 0 25.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.394 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (sqrt 2))))) into 0 25.394 * [taylor]: Taking taylor expansion of 0 in a1 25.394 * [backup-simplify]: Simplify 0 into 0 25.395 * [backup-simplify]: Simplify (+ 0) into 0 25.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 25.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 25.396 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 25.397 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 25.397 * [backup-simplify]: Simplify (- 0) into 0 25.397 * [backup-simplify]: Simplify (+ 0 0) into 0 25.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.399 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 25.400 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.400 * [backup-simplify]: Simplify 0 into 0 25.400 * [backup-simplify]: Simplify 0 into 0 25.401 * [backup-simplify]: Simplify (+ 0) into 0 25.401 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 25.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 25.402 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 25.403 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 25.403 * [backup-simplify]: Simplify (- 0) into 0 25.403 * [backup-simplify]: Simplify (+ 0 0) into 0 25.405 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.405 * [backup-simplify]: Simplify 0 into 0 25.406 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 25.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 25.407 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 25.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 25.407 * [backup-simplify]: Simplify (+ 0 0) into 0 25.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0 25.409 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.411 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.411 * [taylor]: Taking taylor expansion of 0 in a2 25.411 * [backup-simplify]: Simplify 0 into 0 25.411 * [taylor]: Taking taylor expansion of 0 in a1 25.411 * [backup-simplify]: Simplify 0 into 0 25.411 * [taylor]: Taking taylor expansion of 0 in a1 25.411 * [backup-simplify]: Simplify 0 into 0 25.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 25.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.413 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 25.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 25.413 * [backup-simplify]: Simplify (+ 0 0) into 0 25.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 25.415 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 25.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 25.418 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 25.419 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 25.419 * [backup-simplify]: Simplify (- 0) into 0 25.419 * [backup-simplify]: Simplify (+ 0 0) into 0 25.420 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))))) into 0 25.421 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.423 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.423 * [taylor]: Taking taylor expansion of 0 in a1 25.423 * [backup-simplify]: Simplify 0 into 0 25.423 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 25.424 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 25.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 25.424 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 25.425 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 25.425 * [backup-simplify]: Simplify (- 0) into 0 25.425 * [backup-simplify]: Simplify (+ 0 0) into 0 25.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.427 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 25.428 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.428 * [backup-simplify]: Simplify 0 into 0 25.428 * [backup-simplify]: Simplify 0 into 0 25.429 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 25.429 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 25.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 25.430 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 25.430 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 25.430 * [backup-simplify]: Simplify (- 0) into 0 25.430 * [backup-simplify]: Simplify (+ 0 0) into 0 25.431 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.432 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.432 * [backup-simplify]: Simplify 0 into 0 25.433 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) 25.434 * [backup-simplify]: Simplify (* (cos (/ 1 (- th))) (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1)))) (sqrt 2))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 25.434 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in (th a2 a1) around 0 25.434 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1 25.434 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 25.434 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 25.434 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 25.434 * [taylor]: Taking taylor expansion of -1 in a1 25.434 * [backup-simplify]: Simplify -1 into -1 25.434 * [taylor]: Taking taylor expansion of th in a1 25.434 * [backup-simplify]: Simplify th into th 25.434 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 25.434 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 25.434 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 25.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 25.434 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 25.434 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 25.434 * [taylor]: Taking taylor expansion of a2 in a1 25.434 * [backup-simplify]: Simplify a2 into a2 25.434 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.434 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 25.434 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 25.434 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.434 * [taylor]: Taking taylor expansion of a1 in a1 25.434 * [backup-simplify]: Simplify 0 into 0 25.434 * [backup-simplify]: Simplify 1 into 1 25.435 * [backup-simplify]: Simplify (* 1 1) into 1 25.435 * [backup-simplify]: Simplify (/ 1 1) into 1 25.435 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.435 * [taylor]: Taking taylor expansion of 2 in a1 25.435 * [backup-simplify]: Simplify 2 into 2 25.435 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.436 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 25.436 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 25.436 * [backup-simplify]: Simplify (- 0) into 0 25.436 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 25.436 * [backup-simplify]: Simplify (+ 0 1) into 1 25.436 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 25.437 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 25.437 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a2 25.437 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 25.437 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 25.437 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 25.437 * [taylor]: Taking taylor expansion of -1 in a2 25.437 * [backup-simplify]: Simplify -1 into -1 25.437 * [taylor]: Taking taylor expansion of th in a2 25.437 * [backup-simplify]: Simplify th into th 25.437 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 25.437 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 25.437 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 25.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 25.437 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 25.437 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.437 * [taylor]: Taking taylor expansion of a2 in a2 25.437 * [backup-simplify]: Simplify 0 into 0 25.437 * [backup-simplify]: Simplify 1 into 1 25.437 * [backup-simplify]: Simplify (* 1 1) into 1 25.437 * [backup-simplify]: Simplify (/ 1 1) into 1 25.437 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 25.437 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.437 * [taylor]: Taking taylor expansion of a1 in a2 25.437 * [backup-simplify]: Simplify a1 into a1 25.437 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.437 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.438 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.438 * [taylor]: Taking taylor expansion of 2 in a2 25.438 * [backup-simplify]: Simplify 2 into 2 25.438 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.438 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 25.438 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 25.439 * [backup-simplify]: Simplify (- 0) into 0 25.439 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 25.439 * [backup-simplify]: Simplify (+ 1 0) into 1 25.439 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 25.439 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 25.439 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in th 25.439 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 25.439 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 25.439 * [taylor]: Taking taylor expansion of (/ -1 th) in th 25.439 * [taylor]: Taking taylor expansion of -1 in th 25.439 * [backup-simplify]: Simplify -1 into -1 25.439 * [taylor]: Taking taylor expansion of th in th 25.439 * [backup-simplify]: Simplify 0 into 0 25.439 * [backup-simplify]: Simplify 1 into 1 25.440 * [backup-simplify]: Simplify (/ -1 1) into -1 25.440 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 25.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 25.440 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 25.440 * [taylor]: Taking taylor expansion of (pow a2 2) in th 25.440 * [taylor]: Taking taylor expansion of a2 in th 25.440 * [backup-simplify]: Simplify a2 into a2 25.440 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.440 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 25.440 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 25.440 * [taylor]: Taking taylor expansion of (pow a1 2) in th 25.440 * [taylor]: Taking taylor expansion of a1 in th 25.440 * [backup-simplify]: Simplify a1 into a1 25.440 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.440 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.440 * [taylor]: Taking taylor expansion of (sqrt 2) in th 25.440 * [taylor]: Taking taylor expansion of 2 in th 25.440 * [backup-simplify]: Simplify 2 into 2 25.440 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.441 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 25.441 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 25.442 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 25.442 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in th 25.442 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 25.442 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 25.442 * [taylor]: Taking taylor expansion of (/ -1 th) in th 25.442 * [taylor]: Taking taylor expansion of -1 in th 25.442 * [backup-simplify]: Simplify -1 into -1 25.442 * [taylor]: Taking taylor expansion of th in th 25.442 * [backup-simplify]: Simplify 0 into 0 25.442 * [backup-simplify]: Simplify 1 into 1 25.442 * [backup-simplify]: Simplify (/ -1 1) into -1 25.442 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 25.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 25.442 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 25.442 * [taylor]: Taking taylor expansion of (pow a2 2) in th 25.442 * [taylor]: Taking taylor expansion of a2 in th 25.442 * [backup-simplify]: Simplify a2 into a2 25.442 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.442 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 25.442 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 25.442 * [taylor]: Taking taylor expansion of (pow a1 2) in th 25.442 * [taylor]: Taking taylor expansion of a1 in th 25.442 * [backup-simplify]: Simplify a1 into a1 25.442 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.442 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.443 * [taylor]: Taking taylor expansion of (sqrt 2) in th 25.443 * [taylor]: Taking taylor expansion of 2 in th 25.443 * [backup-simplify]: Simplify 2 into 2 25.443 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.443 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 25.443 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 25.444 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 25.444 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a2 25.444 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 25.444 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 25.444 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 25.444 * [taylor]: Taking taylor expansion of -1 in a2 25.444 * [backup-simplify]: Simplify -1 into -1 25.444 * [taylor]: Taking taylor expansion of th in a2 25.444 * [backup-simplify]: Simplify th into th 25.444 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 25.444 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 25.444 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 25.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 25.444 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 25.444 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.444 * [taylor]: Taking taylor expansion of a2 in a2 25.444 * [backup-simplify]: Simplify 0 into 0 25.444 * [backup-simplify]: Simplify 1 into 1 25.444 * [backup-simplify]: Simplify (* 1 1) into 1 25.445 * [backup-simplify]: Simplify (/ 1 1) into 1 25.445 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 25.445 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.445 * [taylor]: Taking taylor expansion of a1 in a2 25.445 * [backup-simplify]: Simplify a1 into a1 25.445 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.445 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.445 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 25.445 * [taylor]: Taking taylor expansion of 2 in a2 25.445 * [backup-simplify]: Simplify 2 into 2 25.445 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.446 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 25.446 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 25.446 * [backup-simplify]: Simplify (- 0) into 0 25.446 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 25.446 * [backup-simplify]: Simplify (+ 1 0) into 1 25.446 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 25.447 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 25.447 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in a1 25.447 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 25.447 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 25.447 * [taylor]: Taking taylor expansion of -1 in a1 25.447 * [backup-simplify]: Simplify -1 into -1 25.447 * [taylor]: Taking taylor expansion of th in a1 25.447 * [backup-simplify]: Simplify th into th 25.447 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 25.447 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 25.447 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 25.447 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.447 * [taylor]: Taking taylor expansion of 2 in a1 25.447 * [backup-simplify]: Simplify 2 into 2 25.447 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.448 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 25.448 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 25.449 * [backup-simplify]: Simplify (- 0) into 0 25.449 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 25.449 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 25.449 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 25.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 25.449 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 25.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 25.450 * [backup-simplify]: Simplify (+ 0 0) into 0 25.450 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0 25.451 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.451 * [taylor]: Taking taylor expansion of 0 in a2 25.451 * [backup-simplify]: Simplify 0 into 0 25.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.452 * [backup-simplify]: Simplify (+ 0 0) into 0 25.452 * [backup-simplify]: Simplify (+ 0) into 0 25.453 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 25.453 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 25.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 25.453 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 25.454 * [backup-simplify]: Simplify (- 0) into 0 25.454 * [backup-simplify]: Simplify (+ 0 0) into 0 25.454 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 25.455 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.455 * [taylor]: Taking taylor expansion of 0 in a1 25.455 * [backup-simplify]: Simplify 0 into 0 25.455 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 25.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 25.456 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 25.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 25.456 * [backup-simplify]: Simplify (+ 0 0) into 0 25.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 25.457 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.458 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.459 * [taylor]: Taking taylor expansion of 0 in a2 25.459 * [backup-simplify]: Simplify 0 into 0 25.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.460 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2)) 25.460 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 25.461 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 25.461 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 25.461 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 25.462 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 25.462 * [backup-simplify]: Simplify (- 0) into 0 25.462 * [backup-simplify]: Simplify (+ 0 0) into 0 25.463 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a1 2)) 25.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.466 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a1 2)) (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) 25.466 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1 25.466 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 25.466 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 25.466 * [taylor]: Taking taylor expansion of -1 in a1 25.466 * [backup-simplify]: Simplify -1 into -1 25.466 * [taylor]: Taking taylor expansion of th in a1 25.466 * [backup-simplify]: Simplify th into th 25.466 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 25.466 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 25.466 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 25.466 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 25.466 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.466 * [taylor]: Taking taylor expansion of a1 in a1 25.466 * [backup-simplify]: Simplify 0 into 0 25.466 * [backup-simplify]: Simplify 1 into 1 25.466 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 25.466 * [taylor]: Taking taylor expansion of 2 in a1 25.466 * [backup-simplify]: Simplify 2 into 2 25.467 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 25.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 25.468 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 25.468 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 25.468 * [backup-simplify]: Simplify (- 0) into 0 25.468 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 25.469 * [backup-simplify]: Simplify (* 1 1) into 1 25.469 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 25.470 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 25.470 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 25.471 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 25.472 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 25.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 25.473 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 25.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 25.473 * [backup-simplify]: Simplify (+ 0 0) into 0 25.474 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0 25.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.478 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.478 * [taylor]: Taking taylor expansion of 0 in a2 25.478 * [backup-simplify]: Simplify 0 into 0 25.478 * [taylor]: Taking taylor expansion of 0 in a1 25.478 * [backup-simplify]: Simplify 0 into 0 25.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.481 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 25.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 25.481 * [backup-simplify]: Simplify (+ 0 0) into 0 25.482 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 25.483 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.484 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 25.485 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 25.486 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 25.486 * [backup-simplify]: Simplify (- 0) into 0 25.487 * [backup-simplify]: Simplify (+ 0 0) into 0 25.487 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1)))) into 0 25.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.492 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0 25.492 * [taylor]: Taking taylor expansion of 0 in a1 25.492 * [backup-simplify]: Simplify 0 into 0 25.492 * [backup-simplify]: Simplify (+ 0) into 0 25.493 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 25.493 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 25.493 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 25.494 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 25.494 * [backup-simplify]: Simplify (- 0) into 0 25.495 * [backup-simplify]: Simplify (+ 0 0) into 0 25.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 25.497 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.497 * [backup-simplify]: Simplify 0 into 0 25.498 * [backup-simplify]: Simplify 0 into 0 25.498 * [backup-simplify]: Simplify (+ 0) into 0 25.498 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 25.499 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 25.499 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 25.500 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 25.500 * [backup-simplify]: Simplify (- 0) into 0 25.500 * [backup-simplify]: Simplify (+ 0 0) into 0 25.502 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 25.502 * [backup-simplify]: Simplify 0 into 0 25.503 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 25.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 25.505 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 25.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 25.505 * [backup-simplify]: Simplify (+ 0 0) into 0 25.507 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0 25.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.512 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.512 * [taylor]: Taking taylor expansion of 0 in a2 25.512 * [backup-simplify]: Simplify 0 into 0 25.512 * [taylor]: Taking taylor expansion of 0 in a1 25.512 * [backup-simplify]: Simplify 0 into 0 25.512 * [taylor]: Taking taylor expansion of 0 in a1 25.512 * [backup-simplify]: Simplify 0 into 0 25.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 25.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.515 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 25.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 25.515 * [backup-simplify]: Simplify (+ 0 0) into 0 25.518 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 25.519 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 25.519 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 25.521 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 25.521 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 25.522 * [backup-simplify]: Simplify (- 0) into 0 25.522 * [backup-simplify]: Simplify (+ 0 0) into 0 25.523 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))))) into 0 25.524 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.528 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.528 * [taylor]: Taking taylor expansion of 0 in a1 25.528 * [backup-simplify]: Simplify 0 into 0 25.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 25.530 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 25.530 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 25.534 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 25.534 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 25.535 * [backup-simplify]: Simplify (- 0) into 0 25.535 * [backup-simplify]: Simplify (+ 0 0) into 0 25.536 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 25.540 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.541 * [backup-simplify]: Simplify 0 into 0 25.541 * [backup-simplify]: Simplify 0 into 0 25.542 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 25.542 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 25.542 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 25.543 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 25.544 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 25.544 * [backup-simplify]: Simplify (- 0) into 0 25.544 * [backup-simplify]: Simplify (+ 0 0) into 0 25.545 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 25.548 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 25.548 * [backup-simplify]: Simplify 0 into 0 25.549 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) 25.549 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 25.550 * [backup-simplify]: Simplify (+ (* a2 a2) (* a1 a1)) into (+ (pow a2 2) (pow a1 2)) 25.550 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a2 a1) around 0 25.550 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 25.550 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 25.550 * [taylor]: Taking taylor expansion of a2 in a1 25.550 * [backup-simplify]: Simplify a2 into a2 25.550 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.550 * [taylor]: Taking taylor expansion of a1 in a1 25.550 * [backup-simplify]: Simplify 0 into 0 25.550 * [backup-simplify]: Simplify 1 into 1 25.550 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 25.550 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.550 * [taylor]: Taking taylor expansion of a2 in a2 25.550 * [backup-simplify]: Simplify 0 into 0 25.550 * [backup-simplify]: Simplify 1 into 1 25.550 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.550 * [taylor]: Taking taylor expansion of a1 in a2 25.550 * [backup-simplify]: Simplify a1 into a1 25.550 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 25.550 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.550 * [taylor]: Taking taylor expansion of a2 in a2 25.550 * [backup-simplify]: Simplify 0 into 0 25.550 * [backup-simplify]: Simplify 1 into 1 25.550 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.550 * [taylor]: Taking taylor expansion of a1 in a2 25.550 * [backup-simplify]: Simplify a1 into a1 25.550 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.550 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2) 25.550 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.550 * [taylor]: Taking taylor expansion of a1 in a1 25.551 * [backup-simplify]: Simplify 0 into 0 25.551 * [backup-simplify]: Simplify 1 into 1 25.551 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 25.551 * [backup-simplify]: Simplify (+ 0 0) into 0 25.551 * [taylor]: Taking taylor expansion of 0 in a1 25.551 * [backup-simplify]: Simplify 0 into 0 25.551 * [backup-simplify]: Simplify 0 into 0 25.551 * [backup-simplify]: Simplify (* 1 1) into 1 25.552 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 25.552 * [backup-simplify]: Simplify (+ 1 0) into 1 25.552 * [taylor]: Taking taylor expansion of 1 in a1 25.552 * [backup-simplify]: Simplify 1 into 1 25.552 * [backup-simplify]: Simplify 1 into 1 25.553 * [backup-simplify]: Simplify 0 into 0 25.553 * [backup-simplify]: Simplify (* 1 1) into 1 25.553 * [backup-simplify]: Simplify 1 into 1 25.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.554 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 25.555 * [backup-simplify]: Simplify (+ 0 0) into 0 25.555 * [taylor]: Taking taylor expansion of 0 in a1 25.555 * [backup-simplify]: Simplify 0 into 0 25.555 * [backup-simplify]: Simplify 0 into 0 25.555 * [backup-simplify]: Simplify 0 into 0 25.555 * [backup-simplify]: Simplify 0 into 0 25.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.556 * [backup-simplify]: Simplify 0 into 0 25.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.558 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 25.558 * [backup-simplify]: Simplify (+ 0 0) into 0 25.558 * [taylor]: Taking taylor expansion of 0 in a1 25.558 * [backup-simplify]: Simplify 0 into 0 25.558 * [backup-simplify]: Simplify 0 into 0 25.558 * [backup-simplify]: Simplify 0 into 0 25.558 * [backup-simplify]: Simplify (+ (* 1 (pow (* a1 1) 2)) (* 1 (pow (* 1 a2) 2))) into (+ (pow a2 2) (pow a1 2)) 25.558 * [backup-simplify]: Simplify (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 25.559 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a2 a1) around 0 25.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 25.559 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 25.559 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 25.559 * [taylor]: Taking taylor expansion of a2 in a1 25.559 * [backup-simplify]: Simplify a2 into a2 25.559 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.559 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 25.559 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 25.559 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.559 * [taylor]: Taking taylor expansion of a1 in a1 25.559 * [backup-simplify]: Simplify 0 into 0 25.559 * [backup-simplify]: Simplify 1 into 1 25.559 * [backup-simplify]: Simplify (* 1 1) into 1 25.560 * [backup-simplify]: Simplify (/ 1 1) into 1 25.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 25.560 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 25.560 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.560 * [taylor]: Taking taylor expansion of a2 in a2 25.560 * [backup-simplify]: Simplify 0 into 0 25.560 * [backup-simplify]: Simplify 1 into 1 25.560 * [backup-simplify]: Simplify (* 1 1) into 1 25.561 * [backup-simplify]: Simplify (/ 1 1) into 1 25.561 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 25.561 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.561 * [taylor]: Taking taylor expansion of a1 in a2 25.561 * [backup-simplify]: Simplify a1 into a1 25.561 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.561 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 25.561 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 25.561 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.561 * [taylor]: Taking taylor expansion of a2 in a2 25.561 * [backup-simplify]: Simplify 0 into 0 25.561 * [backup-simplify]: Simplify 1 into 1 25.561 * [backup-simplify]: Simplify (* 1 1) into 1 25.562 * [backup-simplify]: Simplify (/ 1 1) into 1 25.562 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 25.562 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.562 * [taylor]: Taking taylor expansion of a1 in a2 25.562 * [backup-simplify]: Simplify a1 into a1 25.562 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.562 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.562 * [backup-simplify]: Simplify (+ 1 0) into 1 25.562 * [taylor]: Taking taylor expansion of 1 in a1 25.562 * [backup-simplify]: Simplify 1 into 1 25.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.563 * [backup-simplify]: Simplify (+ 0 0) into 0 25.563 * [taylor]: Taking taylor expansion of 0 in a1 25.563 * [backup-simplify]: Simplify 0 into 0 25.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.565 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2)) 25.565 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 25.565 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.565 * [taylor]: Taking taylor expansion of a1 in a1 25.565 * [backup-simplify]: Simplify 0 into 0 25.565 * [backup-simplify]: Simplify 1 into 1 25.565 * [backup-simplify]: Simplify (* 1 1) into 1 25.565 * [backup-simplify]: Simplify (/ 1 1) into 1 25.565 * [backup-simplify]: Simplify 1 into 1 25.565 * [backup-simplify]: Simplify 1 into 1 25.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.566 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 25.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 25.567 * [backup-simplify]: Simplify (+ 0 0) into 0 25.567 * [taylor]: Taking taylor expansion of 0 in a1 25.567 * [backup-simplify]: Simplify 0 into 0 25.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.568 * [backup-simplify]: Simplify 0 into 0 25.568 * [backup-simplify]: Simplify 0 into 0 25.568 * [backup-simplify]: Simplify 0 into 0 25.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 25.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.570 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 25.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 25.570 * [backup-simplify]: Simplify (+ 0 0) into 0 25.571 * [taylor]: Taking taylor expansion of 0 in a1 25.571 * [backup-simplify]: Simplify 0 into 0 25.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.572 * [backup-simplify]: Simplify 0 into 0 25.572 * [backup-simplify]: Simplify 0 into 0 25.572 * [backup-simplify]: Simplify 0 into 0 25.572 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a2))) 2)) (* 1 (pow (* (/ 1 (/ 1 a1)) 1) 2))) into (+ (pow a2 2) (pow a1 2)) 25.572 * [backup-simplify]: Simplify (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 25.572 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a2 a1) around 0 25.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 25.572 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 25.572 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 25.572 * [taylor]: Taking taylor expansion of a2 in a1 25.572 * [backup-simplify]: Simplify a2 into a2 25.572 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 25.572 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 25.572 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 25.572 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.572 * [taylor]: Taking taylor expansion of a1 in a1 25.572 * [backup-simplify]: Simplify 0 into 0 25.572 * [backup-simplify]: Simplify 1 into 1 25.573 * [backup-simplify]: Simplify (* 1 1) into 1 25.573 * [backup-simplify]: Simplify (/ 1 1) into 1 25.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 25.573 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 25.573 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.573 * [taylor]: Taking taylor expansion of a2 in a2 25.573 * [backup-simplify]: Simplify 0 into 0 25.573 * [backup-simplify]: Simplify 1 into 1 25.573 * [backup-simplify]: Simplify (* 1 1) into 1 25.573 * [backup-simplify]: Simplify (/ 1 1) into 1 25.573 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 25.574 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.574 * [taylor]: Taking taylor expansion of a1 in a2 25.574 * [backup-simplify]: Simplify a1 into a1 25.574 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.574 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 25.574 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 25.574 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 25.574 * [taylor]: Taking taylor expansion of a2 in a2 25.574 * [backup-simplify]: Simplify 0 into 0 25.574 * [backup-simplify]: Simplify 1 into 1 25.574 * [backup-simplify]: Simplify (* 1 1) into 1 25.574 * [backup-simplify]: Simplify (/ 1 1) into 1 25.574 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 25.574 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 25.574 * [taylor]: Taking taylor expansion of a1 in a2 25.574 * [backup-simplify]: Simplify a1 into a1 25.575 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 25.575 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 25.575 * [backup-simplify]: Simplify (+ 1 0) into 1 25.575 * [taylor]: Taking taylor expansion of 1 in a1 25.575 * [backup-simplify]: Simplify 1 into 1 25.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.576 * [backup-simplify]: Simplify (+ 0 0) into 0 25.576 * [taylor]: Taking taylor expansion of 0 in a1 25.576 * [backup-simplify]: Simplify 0 into 0 25.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.577 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2)) 25.577 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 25.577 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 25.577 * [taylor]: Taking taylor expansion of a1 in a1 25.577 * [backup-simplify]: Simplify 0 into 0 25.577 * [backup-simplify]: Simplify 1 into 1 25.578 * [backup-simplify]: Simplify (* 1 1) into 1 25.578 * [backup-simplify]: Simplify (/ 1 1) into 1 25.578 * [backup-simplify]: Simplify 1 into 1 25.578 * [backup-simplify]: Simplify 1 into 1 25.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.579 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 25.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 25.579 * [backup-simplify]: Simplify (+ 0 0) into 0 25.579 * [taylor]: Taking taylor expansion of 0 in a1 25.579 * [backup-simplify]: Simplify 0 into 0 25.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.580 * [backup-simplify]: Simplify 0 into 0 25.580 * [backup-simplify]: Simplify 0 into 0 25.580 * [backup-simplify]: Simplify 0 into 0 25.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 25.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.582 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 25.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 25.582 * [backup-simplify]: Simplify (+ 0 0) into 0 25.582 * [taylor]: Taking taylor expansion of 0 in a1 25.582 * [backup-simplify]: Simplify 0 into 0 25.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.583 * [backup-simplify]: Simplify 0 into 0 25.583 * [backup-simplify]: Simplify 0 into 0 25.584 * [backup-simplify]: Simplify 0 into 0 25.584 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a2)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a1))) 1) 2))) into (+ (pow a2 2) (pow a1 2)) 25.584 * * * [progress]: simplifying candidates 25.584 * * * * [progress]: [ 1 / 106 ] simplifiying candidate # 25.584 * * * * [progress]: [ 2 / 106 ] simplifiying candidate # 25.584 * [simplify]: Simplifying (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt 2))) 25.584 * * [simplify]: iters left: 6 (10 enodes) 25.587 * * [simplify]: iters left: 5 (33 enodes) 25.592 * * [simplify]: iters left: 4 (36 enodes) 25.601 * * [simplify]: Extracting #0: cost 1 inf + 0 25.601 * * [simplify]: Extracting #1: cost 5 inf + 0 25.601 * * [simplify]: Extracting #2: cost 10 inf + 0 25.601 * * [simplify]: Extracting #3: cost 15 inf + 0 25.601 * * [simplify]: Extracting #4: cost 16 inf + 83 25.602 * * [simplify]: Extracting #5: cost 9 inf + 650 25.602 * * [simplify]: Extracting #6: cost 7 inf + 732 25.602 * * [simplify]: Extracting #7: cost 1 inf + 1895 25.603 * * [simplify]: Extracting #8: cost 0 inf + 2087 25.604 * [simplify]: Simplified to (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt 2))) 25.604 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (exp (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt 2)))))) 25.604 * * * * [progress]: [ 3 / 106 ] simplifiying candidate # 25.604 * [simplify]: Simplifying (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 25.605 * * [simplify]: iters left: 6 (9 enodes) 25.609 * * [simplify]: iters left: 5 (31 enodes) 25.619 * * [simplify]: iters left: 4 (37 enodes) 25.631 * * [simplify]: iters left: 3 (40 enodes) 25.643 * * [simplify]: Extracting #0: cost 1 inf + 0 25.643 * * [simplify]: Extracting #1: cost 6 inf + 0 25.643 * * [simplify]: Extracting #2: cost 12 inf + 0 25.643 * * [simplify]: Extracting #3: cost 17 inf + 0 25.643 * * [simplify]: Extracting #4: cost 20 inf + 1 25.643 * * [simplify]: Extracting #5: cost 11 inf + 650 25.644 * * [simplify]: Extracting #6: cost 9 inf + 732 25.644 * * [simplify]: Extracting #7: cost 3 inf + 1615 25.645 * * [simplify]: Extracting #8: cost 0 inf + 2353 25.645 * [simplify]: Simplified to (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 25.646 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (exp (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))))) 25.646 * * * * [progress]: [ 4 / 106 ] simplifiying candidate # 25.646 * [simplify]: Simplifying (exp (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 25.646 * * [simplify]: iters left: 6 (9 enodes) 25.651 * * [simplify]: iters left: 5 (28 enodes) 25.660 * * [simplify]: Extracting #0: cost 1 inf + 0 25.660 * * [simplify]: Extracting #1: cost 3 inf + 0 25.660 * * [simplify]: Extracting #2: cost 6 inf + 0 25.660 * * [simplify]: Extracting #3: cost 11 inf + 0 25.660 * * [simplify]: Extracting #4: cost 14 inf + 1 25.660 * * [simplify]: Extracting #5: cost 9 inf + 126 25.660 * * [simplify]: Extracting #6: cost 6 inf + 249 25.661 * * [simplify]: Extracting #7: cost 3 inf + 696 25.661 * * [simplify]: Extracting #8: cost 1 inf + 1172 25.662 * * [simplify]: Extracting #9: cost 0 inf + 1445 25.662 * [simplify]: Simplified to (exp (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 25.662 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (log (exp (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))))) 25.662 * * * * [progress]: [ 5 / 106 ] simplifiying candidate # 25.663 * [simplify]: Simplifying (/ (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) 25.663 * * [simplify]: iters left: 6 (12 enodes) 25.673 * * [simplify]: iters left: 5 (56 enodes) 25.689 * * [simplify]: iters left: 4 (182 enodes) 25.765 * * [simplify]: Extracting #0: cost 1 inf + 0 25.765 * * [simplify]: Extracting #1: cost 28 inf + 0 25.766 * * [simplify]: Extracting #2: cost 74 inf + 42 25.766 * * [simplify]: Extracting #3: cost 145 inf + 246 25.769 * * [simplify]: Extracting #4: cost 115 inf + 4668 25.774 * * [simplify]: Extracting #5: cost 17 inf + 25661 25.781 * * [simplify]: Extracting #6: cost 0 inf + 29458 25.788 * [simplify]: Simplified to (* (/ (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (* 2 (sqrt 2))) (+ (* a2 a2) (* a1 a1))) 25.788 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (cbrt (* (/ (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (* 2 (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))) 25.788 * * * * [progress]: [ 6 / 106 ] simplifiying candidate # 25.788 * [simplify]: Simplifying (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 25.788 * * [simplify]: iters left: 6 (10 enodes) 25.791 * * [simplify]: iters left: 5 (31 enodes) 25.798 * * [simplify]: Extracting #0: cost 1 inf + 0 25.799 * * [simplify]: Extracting #1: cost 3 inf + 0 25.799 * * [simplify]: Extracting #2: cost 5 inf + 0 25.799 * * [simplify]: Extracting #3: cost 8 inf + 0 25.799 * * [simplify]: Extracting #4: cost 13 inf + 0 25.799 * * [simplify]: Extracting #5: cost 16 inf + 1 25.799 * * [simplify]: Extracting #6: cost 11 inf + 126 25.799 * * [simplify]: Extracting #7: cost 9 inf + 208 25.799 * * [simplify]: Extracting #8: cost 5 inf + 696 25.800 * * [simplify]: Extracting #9: cost 0 inf + 2111 25.800 * [simplify]: Simplified to (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 25.801 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))))) 25.801 * [simplify]: Simplifying (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 25.801 * * [simplify]: iters left: 6 (9 enodes) 25.804 * * [simplify]: iters left: 5 (28 enodes) 25.809 * * [simplify]: Extracting #0: cost 1 inf + 0 25.809 * * [simplify]: Extracting #1: cost 3 inf + 0 25.809 * * [simplify]: Extracting #2: cost 6 inf + 0 25.809 * * [simplify]: Extracting #3: cost 11 inf + 0 25.809 * * [simplify]: Extracting #4: cost 14 inf + 1 25.809 * * [simplify]: Extracting #5: cost 9 inf + 126 25.809 * * [simplify]: Extracting #6: cost 6 inf + 249 25.809 * * [simplify]: Extracting #7: cost 3 inf + 696 25.809 * * [simplify]: Extracting #8: cost 1 inf + 1182 25.810 * * [simplify]: Extracting #9: cost 0 inf + 1465 25.810 * [simplify]: Simplified to (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 25.810 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))))) 25.810 * * * * [progress]: [ 7 / 106 ] simplifiying candidate # 25.810 * [simplify]: Simplifying (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 25.810 * * [simplify]: iters left: 6 (10 enodes) 25.813 * * [simplify]: iters left: 5 (38 enodes) 25.820 * * [simplify]: iters left: 4 (76 enodes) 25.845 * * [simplify]: iters left: 3 (199 enodes) 25.912 * * [simplify]: iters left: 2 (495 enodes) 26.176 * * [simplify]: Extracting #0: cost 1 inf + 0 26.176 * * [simplify]: Extracting #1: cost 46 inf + 0 26.177 * * [simplify]: Extracting #2: cost 123 inf + 2 26.178 * * [simplify]: Extracting #3: cost 217 inf + 3681 26.186 * * [simplify]: Extracting #4: cost 122 inf + 38188 26.212 * * [simplify]: Extracting #5: cost 2 inf + 68523 26.241 * * [simplify]: Extracting #6: cost 0 inf + 69089 26.264 * [simplify]: Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 26.264 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (cbrt (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))))) 26.264 * * * * [progress]: [ 8 / 106 ] simplifiying candidate # 26.265 * [simplify]: Simplifying (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 26.265 * * [simplify]: iters left: 6 (9 enodes) 26.270 * * [simplify]: iters left: 5 (28 enodes) 26.279 * * [simplify]: Extracting #0: cost 1 inf + 0 26.279 * * [simplify]: Extracting #1: cost 3 inf + 0 26.279 * * [simplify]: Extracting #2: cost 6 inf + 0 26.279 * * [simplify]: Extracting #3: cost 11 inf + 0 26.279 * * [simplify]: Extracting #4: cost 14 inf + 1 26.279 * * [simplify]: Extracting #5: cost 9 inf + 126 26.279 * * [simplify]: Extracting #6: cost 6 inf + 249 26.279 * * [simplify]: Extracting #7: cost 3 inf + 696 26.280 * * [simplify]: Extracting #8: cost 1 inf + 1142 26.280 * * [simplify]: Extracting #9: cost 0 inf + 1385 26.280 * [simplify]: Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 26.280 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))))) 26.280 * [simplify]: Simplifying (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 26.280 * * [simplify]: iters left: 6 (9 enodes) 26.283 * * [simplify]: iters left: 5 (28 enodes) 26.287 * * [simplify]: Extracting #0: cost 1 inf + 0 26.288 * * [simplify]: Extracting #1: cost 3 inf + 0 26.288 * * [simplify]: Extracting #2: cost 6 inf + 0 26.288 * * [simplify]: Extracting #3: cost 11 inf + 0 26.288 * * [simplify]: Extracting #4: cost 14 inf + 1 26.288 * * [simplify]: Extracting #5: cost 9 inf + 126 26.288 * * [simplify]: Extracting #6: cost 6 inf + 249 26.288 * * [simplify]: Extracting #7: cost 3 inf + 696 26.288 * * [simplify]: Extracting #8: cost 1 inf + 1142 26.288 * * [simplify]: Extracting #9: cost 0 inf + 1385 26.289 * [simplify]: Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 26.289 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))))) 26.289 * * * * [progress]: [ 9 / 106 ] simplifiying candidate # 26.289 * [simplify]: Simplifying (- (+ (* a2 a2) (* a1 a1))) 26.289 * * [simplify]: iters left: 6 (6 enodes) 26.290 * * [simplify]: iters left: 5 (22 enodes) 26.294 * * [simplify]: iters left: 4 (34 enodes) 26.298 * * [simplify]: iters left: 3 (38 enodes) 26.303 * * [simplify]: Extracting #0: cost 1 inf + 0 26.303 * * [simplify]: Extracting #1: cost 6 inf + 0 26.303 * * [simplify]: Extracting #2: cost 15 inf + 0 26.304 * * [simplify]: Extracting #3: cost 12 inf + 206 26.304 * * [simplify]: Extracting #4: cost 7 inf + 451 26.305 * * [simplify]: Extracting #5: cost 1 inf + 1060 26.305 * * [simplify]: Extracting #6: cost 0 inf + 1222 26.306 * [simplify]: Simplified to (- (+ (* a2 a2) (* a1 a1))) 26.306 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (/ (- (+ (* a2 a2) (* a1 a1))) (- (sqrt 2))))) 26.306 * [simplify]: Simplifying (- (sqrt 2)) 26.306 * * [simplify]: iters left: 3 (3 enodes) 26.308 * * [simplify]: iters left: 2 (9 enodes) 26.309 * * [simplify]: Extracting #0: cost 1 inf + 0 26.309 * * [simplify]: Extracting #1: cost 3 inf + 0 26.309 * * [simplify]: Extracting #2: cost 5 inf + 0 26.309 * * [simplify]: Extracting #3: cost 4 inf + 1 26.309 * * [simplify]: Extracting #4: cost 0 inf + 245 26.310 * [simplify]: Simplified to (- (sqrt 2)) 26.310 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (/ (- (+ (* a2 a2) (* a1 a1))) (- (sqrt 2))))) 26.310 * * * * [progress]: [ 10 / 106 ] simplifiying candidate # 26.310 * [simplify]: Simplifying (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 26.310 * * [simplify]: iters left: 6 (12 enodes) 26.313 * * [simplify]: iters left: 5 (43 enodes) 26.320 * * [simplify]: iters left: 4 (58 enodes) 26.330 * * [simplify]: iters left: 3 (65 enodes) 26.348 * * [simplify]: iters left: 2 (68 enodes) 26.367 * * [simplify]: Extracting #0: cost 1 inf + 0 26.367 * * [simplify]: Extracting #1: cost 11 inf + 0 26.368 * * [simplify]: Extracting #2: cost 22 inf + 0 26.368 * * [simplify]: Extracting #3: cost 27 inf + 0 26.368 * * [simplify]: Extracting #4: cost 27 inf + 204 26.368 * * [simplify]: Extracting #5: cost 20 inf + 611 26.369 * * [simplify]: Extracting #6: cost 14 inf + 1622 26.370 * * [simplify]: Extracting #7: cost 2 inf + 5895 26.372 * * [simplify]: Extracting #8: cost 0 inf + 6621 26.374 * [simplify]: Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))) 26.374 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 26.374 * [simplify]: Simplifying (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) 26.374 * * [simplify]: iters left: 6 (10 enodes) 26.380 * * [simplify]: iters left: 5 (31 enodes) 26.389 * * [simplify]: Extracting #0: cost 1 inf + 0 26.389 * * [simplify]: Extracting #1: cost 4 inf + 0 26.389 * * [simplify]: Extracting #2: cost 8 inf + 0 26.389 * * [simplify]: Extracting #3: cost 13 inf + 0 26.389 * * [simplify]: Extracting #4: cost 15 inf + 42 26.389 * * [simplify]: Extracting #5: cost 9 inf + 368 26.390 * * [simplify]: Extracting #6: cost 7 inf + 450 26.390 * * [simplify]: Extracting #7: cost 1 inf + 1663 26.390 * * [simplify]: Extracting #8: cost 0 inf + 1865 26.391 * [simplify]: Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) 26.391 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 26.391 * * * * [progress]: [ 11 / 106 ] simplifiying candidate # 26.391 * [simplify]: Simplifying (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (* (cbrt 2) (cbrt 2)))) 26.392 * * [simplify]: iters left: 6 (12 enodes) 26.398 * * [simplify]: iters left: 5 (40 enodes) 26.410 * * [simplify]: iters left: 4 (44 enodes) 26.423 * * [simplify]: iters left: 3 (47 enodes) 26.438 * * [simplify]: Extracting #0: cost 1 inf + 0 26.438 * * [simplify]: Extracting #1: cost 7 inf + 0 26.438 * * [simplify]: Extracting #2: cost 15 inf + 0 26.438 * * [simplify]: Extracting #3: cost 21 inf + 0 26.438 * * [simplify]: Extracting #4: cost 23 inf + 82 26.438 * * [simplify]: Extracting #5: cost 15 inf + 610 26.439 * * [simplify]: Extracting #6: cost 8 inf + 1622 26.441 * * [simplify]: Extracting #7: cost 0 inf + 4203 26.442 * [simplify]: Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2)) (cbrt (+ (* a2 a2) (* a1 a1))))) 26.443 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2)) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2)))))) 26.443 * [simplify]: Simplifying (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2))) 26.443 * * [simplify]: iters left: 6 (10 enodes) 26.449 * * [simplify]: iters left: 5 (31 enodes) 26.458 * * [simplify]: Extracting #0: cost 1 inf + 0 26.459 * * [simplify]: Extracting #1: cost 4 inf + 0 26.459 * * [simplify]: Extracting #2: cost 8 inf + 0 26.459 * * [simplify]: Extracting #3: cost 13 inf + 0 26.459 * * [simplify]: Extracting #4: cost 15 inf + 82 26.459 * * [simplify]: Extracting #5: cost 9 inf + 448 26.459 * * [simplify]: Extracting #6: cost 7 inf + 530 26.460 * * [simplify]: Extracting #7: cost 1 inf + 1743 26.460 * * [simplify]: Extracting #8: cost 0 inf + 1945 26.460 * [simplify]: Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2))) 26.461 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2)) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2)))))) 26.461 * * * * [progress]: [ 12 / 106 ] simplifiying candidate # 26.461 * [simplify]: Simplifying (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2))) 26.461 * * [simplify]: iters left: 6 (11 enodes) 26.467 * * [simplify]: iters left: 5 (36 enodes) 26.478 * * [simplify]: iters left: 4 (40 enodes) 26.484 * * [simplify]: iters left: 3 (43 enodes) 26.491 * * [simplify]: Extracting #0: cost 1 inf + 0 26.491 * * [simplify]: Extracting #1: cost 7 inf + 0 26.491 * * [simplify]: Extracting #2: cost 14 inf + 0 26.491 * * [simplify]: Extracting #3: cost 19 inf + 0 26.491 * * [simplify]: Extracting #4: cost 22 inf + 1 26.491 * * [simplify]: Extracting #5: cost 16 inf + 207 26.491 * * [simplify]: Extracting #6: cost 12 inf + 411 26.491 * * [simplify]: Extracting #7: cost 9 inf + 1058 26.492 * * [simplify]: Extracting #8: cost 0 inf + 3561 26.492 * [simplify]: Simplified to (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2))) 26.492 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))))) 26.493 * [simplify]: Simplifying (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) 26.493 * * [simplify]: iters left: 6 (10 enodes) 26.495 * * [simplify]: iters left: 5 (31 enodes) 26.500 * * [simplify]: Extracting #0: cost 1 inf + 0 26.500 * * [simplify]: Extracting #1: cost 4 inf + 0 26.500 * * [simplify]: Extracting #2: cost 8 inf + 0 26.500 * * [simplify]: Extracting #3: cost 13 inf + 0 26.500 * * [simplify]: Extracting #4: cost 15 inf + 42 26.501 * * [simplify]: Extracting #5: cost 9 inf + 288 26.501 * * [simplify]: Extracting #6: cost 7 inf + 370 26.501 * * [simplify]: Extracting #7: cost 1 inf + 1503 26.501 * * [simplify]: Extracting #8: cost 0 inf + 1705 26.501 * [simplify]: Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) 26.501 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))))) 26.501 * * * * [progress]: [ 13 / 106 ] simplifiying candidate # 26.502 * [simplify]: Simplifying (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 1)) 26.502 * * [simplify]: iters left: 6 (10 enodes) 26.505 * * [simplify]: iters left: 5 (35 enodes) 26.510 * * [simplify]: iters left: 4 (41 enodes) 26.517 * * [simplify]: iters left: 3 (45 enodes) 26.523 * * [simplify]: iters left: 2 (46 enodes) 26.530 * * [simplify]: Extracting #0: cost 1 inf + 0 26.530 * * [simplify]: Extracting #1: cost 5 inf + 0 26.530 * * [simplify]: Extracting #2: cost 7 inf + 1 26.530 * * [simplify]: Extracting #3: cost 10 inf + 1 26.530 * * [simplify]: Extracting #4: cost 14 inf + 1 26.530 * * [simplify]: Extracting #5: cost 11 inf + 44 26.530 * * [simplify]: Extracting #6: cost 9 inf + 126 26.530 * * [simplify]: Extracting #7: cost 2 inf + 1299 26.531 * * [simplify]: Extracting #8: cost 0 inf + 1785 26.531 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 26.531 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2))))) 26.531 * [simplify]: Simplifying (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)) 26.531 * * [simplify]: iters left: 6 (9 enodes) 26.534 * * [simplify]: iters left: 5 (28 enodes) 26.538 * * [simplify]: Extracting #0: cost 1 inf + 0 26.538 * * [simplify]: Extracting #1: cost 4 inf + 0 26.538 * * [simplify]: Extracting #2: cost 8 inf + 0 26.538 * * [simplify]: Extracting #3: cost 8 inf + 83 26.538 * * [simplify]: Extracting #4: cost 12 inf + 83 26.538 * * [simplify]: Extracting #5: cost 8 inf + 167 26.538 * * [simplify]: Extracting #6: cost 6 inf + 249 26.539 * * [simplify]: Extracting #7: cost 3 inf + 695 26.539 * * [simplify]: Extracting #8: cost 1 inf + 1180 26.539 * * [simplify]: Extracting #9: cost 0 inf + 1463 26.539 * [simplify]: Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)) 26.539 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2))))) 26.539 * * * * [progress]: [ 14 / 106 ] simplifiying candidate # 26.540 * [simplify]: Simplifying (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2))) 26.540 * * [simplify]: iters left: 6 (11 enodes) 26.544 * * [simplify]: iters left: 5 (36 enodes) 26.550 * * [simplify]: iters left: 4 (40 enodes) 26.556 * * [simplify]: iters left: 3 (43 enodes) 26.562 * * [simplify]: Extracting #0: cost 1 inf + 0 26.562 * * [simplify]: Extracting #1: cost 7 inf + 0 26.562 * * [simplify]: Extracting #2: cost 14 inf + 0 26.562 * * [simplify]: Extracting #3: cost 19 inf + 0 26.562 * * [simplify]: Extracting #4: cost 22 inf + 1 26.562 * * [simplify]: Extracting #5: cost 16 inf + 207 26.562 * * [simplify]: Extracting #6: cost 12 inf + 411 26.563 * * [simplify]: Extracting #7: cost 9 inf + 1058 26.563 * * [simplify]: Extracting #8: cost 0 inf + 3561 26.564 * [simplify]: Simplified to (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2))) 26.564 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))))) 26.564 * [simplify]: Simplifying (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) 26.564 * * [simplify]: iters left: 6 (10 enodes) 26.568 * * [simplify]: iters left: 5 (31 enodes) 26.578 * * [simplify]: Extracting #0: cost 1 inf + 0 26.578 * * [simplify]: Extracting #1: cost 4 inf + 0 26.578 * * [simplify]: Extracting #2: cost 8 inf + 0 26.578 * * [simplify]: Extracting #3: cost 13 inf + 0 26.578 * * [simplify]: Extracting #4: cost 15 inf + 42 26.579 * * [simplify]: Extracting #5: cost 9 inf + 288 26.579 * * [simplify]: Extracting #6: cost 7 inf + 370 26.579 * * [simplify]: Extracting #7: cost 1 inf + 1503 26.580 * * [simplify]: Extracting #8: cost 0 inf + 1705 26.580 * [simplify]: Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) 26.580 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))))) 26.580 * * * * [progress]: [ 15 / 106 ] simplifiying candidate # 26.581 * [simplify]: Simplifying (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) 26.581 * * [simplify]: iters left: 6 (9 enodes) 26.586 * * [simplify]: iters left: 5 (30 enodes) 26.596 * * [simplify]: iters left: 4 (40 enodes) 26.607 * * [simplify]: iters left: 3 (41 enodes) 26.618 * * [simplify]: Extracting #0: cost 1 inf + 0 26.618 * * [simplify]: Extracting #1: cost 5 inf + 0 26.619 * * [simplify]: Extracting #2: cost 7 inf + 1 26.619 * * [simplify]: Extracting #3: cost 10 inf + 1 26.619 * * [simplify]: Extracting #4: cost 14 inf + 1 26.619 * * [simplify]: Extracting #5: cost 11 inf + 44 26.619 * * [simplify]: Extracting #6: cost 8 inf + 167 26.619 * * [simplify]: Extracting #7: cost 5 inf + 734 26.620 * * [simplify]: Extracting #8: cost 0 inf + 1785 26.621 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 26.621 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2))))) 26.621 * [simplify]: Simplifying (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)) 26.621 * * [simplify]: iters left: 6 (9 enodes) 26.626 * * [simplify]: iters left: 5 (28 enodes) 26.635 * * [simplify]: Extracting #0: cost 1 inf + 0 26.635 * * [simplify]: Extracting #1: cost 4 inf + 0 26.635 * * [simplify]: Extracting #2: cost 8 inf + 0 26.635 * * [simplify]: Extracting #3: cost 8 inf + 83 26.635 * * [simplify]: Extracting #4: cost 12 inf + 83 26.636 * * [simplify]: Extracting #5: cost 8 inf + 167 26.636 * * [simplify]: Extracting #6: cost 6 inf + 249 26.636 * * [simplify]: Extracting #7: cost 3 inf + 695 26.637 * * [simplify]: Extracting #8: cost 1 inf + 1180 26.637 * * [simplify]: Extracting #9: cost 0 inf + 1463 26.638 * [simplify]: Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)) 26.638 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2))))) 26.638 * * * * [progress]: [ 16 / 106 ] simplifiying candidate # 26.638 * [simplify]: Simplifying (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 26.638 * * [simplify]: iters left: 6 (11 enodes) 26.644 * * [simplify]: iters left: 5 (36 enodes) 26.656 * * [simplify]: iters left: 4 (38 enodes) 26.667 * * [simplify]: Extracting #0: cost 1 inf + 0 26.667 * * [simplify]: Extracting #1: cost 6 inf + 0 26.668 * * [simplify]: Extracting #2: cost 12 inf + 0 26.668 * * [simplify]: Extracting #3: cost 17 inf + 0 26.668 * * [simplify]: Extracting #4: cost 19 inf + 42 26.668 * * [simplify]: Extracting #5: cost 12 inf + 529 26.668 * * [simplify]: Extracting #6: cost 8 inf + 813 26.669 * * [simplify]: Extracting #7: cost 5 inf + 1420 26.669 * * [simplify]: Extracting #8: cost 0 inf + 2753 26.670 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 26.670 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 26.671 * [simplify]: Simplifying (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) 26.671 * * [simplify]: iters left: 6 (10 enodes) 26.676 * * [simplify]: iters left: 5 (31 enodes) 26.688 * * [simplify]: Extracting #0: cost 1 inf + 0 26.688 * * [simplify]: Extracting #1: cost 4 inf + 0 26.688 * * [simplify]: Extracting #2: cost 8 inf + 0 26.688 * * [simplify]: Extracting #3: cost 13 inf + 0 26.689 * * [simplify]: Extracting #4: cost 15 inf + 42 26.689 * * [simplify]: Extracting #5: cost 9 inf + 368 26.689 * * [simplify]: Extracting #6: cost 7 inf + 450 26.689 * * [simplify]: Extracting #7: cost 1 inf + 1543 26.690 * * [simplify]: Extracting #8: cost 0 inf + 1705 26.690 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) 26.690 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 26.691 * * * * [progress]: [ 17 / 106 ] simplifiying candidate # 26.691 * [simplify]: Simplifying (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (* (cbrt 2) (cbrt 2)))) 26.691 * * [simplify]: iters left: 6 (11 enodes) 26.697 * * [simplify]: iters left: 5 (35 enodes) 26.705 * * [simplify]: Extracting #0: cost 1 inf + 0 26.705 * * [simplify]: Extracting #1: cost 4 inf + 0 26.705 * * [simplify]: Extracting #2: cost 9 inf + 0 26.705 * * [simplify]: Extracting #3: cost 15 inf + 0 26.705 * * [simplify]: Extracting #4: cost 14 inf + 405 26.705 * * [simplify]: Extracting #5: cost 9 inf + 690 26.705 * * [simplify]: Extracting #6: cost 7 inf + 772 26.706 * * [simplify]: Extracting #7: cost 3 inf + 1219 26.706 * * [simplify]: Extracting #8: cost 0 inf + 2027 26.706 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2))) 26.706 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2)))))) 26.706 * [simplify]: Simplifying (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2))) 26.706 * * [simplify]: iters left: 6 (10 enodes) 26.709 * * [simplify]: iters left: 5 (31 enodes) 26.714 * * [simplify]: Extracting #0: cost 1 inf + 0 26.715 * * [simplify]: Extracting #1: cost 4 inf + 0 26.715 * * [simplify]: Extracting #2: cost 8 inf + 0 26.715 * * [simplify]: Extracting #3: cost 13 inf + 0 26.715 * * [simplify]: Extracting #4: cost 15 inf + 82 26.715 * * [simplify]: Extracting #5: cost 9 inf + 448 26.715 * * [simplify]: Extracting #6: cost 7 inf + 530 26.715 * * [simplify]: Extracting #7: cost 1 inf + 1623 26.715 * * [simplify]: Extracting #8: cost 0 inf + 1785 26.716 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2))) 26.716 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2)))))) 26.716 * * * * [progress]: [ 18 / 106 ] simplifiying candidate # 26.716 * [simplify]: Simplifying (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) 26.716 * * [simplify]: iters left: 6 (10 enodes) 26.719 * * [simplify]: iters left: 5 (31 enodes) 26.724 * * [simplify]: Extracting #0: cost 1 inf + 0 26.724 * * [simplify]: Extracting #1: cost 4 inf + 0 26.724 * * [simplify]: Extracting #2: cost 8 inf + 0 26.724 * * [simplify]: Extracting #3: cost 13 inf + 0 26.724 * * [simplify]: Extracting #4: cost 15 inf + 42 26.724 * * [simplify]: Extracting #5: cost 9 inf + 288 26.724 * * [simplify]: Extracting #6: cost 7 inf + 370 26.724 * * [simplify]: Extracting #7: cost 1 inf + 1383 26.724 * * [simplify]: Extracting #8: cost 0 inf + 1545 26.725 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) 26.725 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))))) 26.725 * [simplify]: Simplifying (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) 26.725 * * [simplify]: iters left: 6 (10 enodes) 26.728 * * [simplify]: iters left: 5 (31 enodes) 26.733 * * [simplify]: Extracting #0: cost 1 inf + 0 26.733 * * [simplify]: Extracting #1: cost 4 inf + 0 26.733 * * [simplify]: Extracting #2: cost 8 inf + 0 26.733 * * [simplify]: Extracting #3: cost 13 inf + 0 26.733 * * [simplify]: Extracting #4: cost 15 inf + 42 26.733 * * [simplify]: Extracting #5: cost 9 inf + 288 26.733 * * [simplify]: Extracting #6: cost 7 inf + 370 26.733 * * [simplify]: Extracting #7: cost 1 inf + 1383 26.734 * * [simplify]: Extracting #8: cost 0 inf + 1545 26.734 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) 26.734 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))))) 26.734 * * * * [progress]: [ 19 / 106 ] simplifiying candidate # 26.735 * [simplify]: Simplifying (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 1)) 26.735 * * [simplify]: iters left: 6 (9 enodes) 26.740 * * [simplify]: iters left: 5 (30 enodes) 26.749 * * [simplify]: iters left: 4 (32 enodes) 26.758 * * [simplify]: iters left: 3 (34 enodes) 26.765 * * [simplify]: Extracting #0: cost 1 inf + 0 26.765 * * [simplify]: Extracting #1: cost 4 inf + 0 26.765 * * [simplify]: Extracting #2: cost 6 inf + 1 26.765 * * [simplify]: Extracting #3: cost 10 inf + 1 26.765 * * [simplify]: Extracting #4: cost 8 inf + 3 26.765 * * [simplify]: Extracting #5: cost 1 inf + 613 26.765 * * [simplify]: Extracting #6: cost 0 inf + 735 26.766 * [simplify]: Simplified to (sqrt (+ (* a2 a2) (* a1 a1))) 26.766 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2))))) 26.766 * [simplify]: Simplifying (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)) 26.766 * * [simplify]: iters left: 6 (9 enodes) 26.768 * * [simplify]: iters left: 5 (28 enodes) 26.773 * * [simplify]: Extracting #0: cost 1 inf + 0 26.773 * * [simplify]: Extracting #1: cost 4 inf + 0 26.773 * * [simplify]: Extracting #2: cost 8 inf + 0 26.773 * * [simplify]: Extracting #3: cost 8 inf + 83 26.773 * * [simplify]: Extracting #4: cost 12 inf + 83 26.773 * * [simplify]: Extracting #5: cost 8 inf + 167 26.773 * * [simplify]: Extracting #6: cost 6 inf + 249 26.773 * * [simplify]: Extracting #7: cost 3 inf + 655 26.773 * * [simplify]: Extracting #8: cost 1 inf + 1060 26.773 * * [simplify]: Extracting #9: cost 0 inf + 1303 26.774 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)) 26.774 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2))))) 26.774 * * * * [progress]: [ 20 / 106 ] simplifiying candidate # 26.774 * [simplify]: Simplifying (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) 26.774 * * [simplify]: iters left: 6 (10 enodes) 26.777 * * [simplify]: iters left: 5 (31 enodes) 26.782 * * [simplify]: Extracting #0: cost 1 inf + 0 26.782 * * [simplify]: Extracting #1: cost 4 inf + 0 26.782 * * [simplify]: Extracting #2: cost 8 inf + 0 26.782 * * [simplify]: Extracting #3: cost 13 inf + 0 26.782 * * [simplify]: Extracting #4: cost 15 inf + 42 26.782 * * [simplify]: Extracting #5: cost 9 inf + 288 26.782 * * [simplify]: Extracting #6: cost 7 inf + 370 26.782 * * [simplify]: Extracting #7: cost 1 inf + 1383 26.783 * * [simplify]: Extracting #8: cost 0 inf + 1545 26.783 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) 26.783 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))))) 26.783 * [simplify]: Simplifying (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) 26.783 * * [simplify]: iters left: 6 (10 enodes) 26.786 * * [simplify]: iters left: 5 (31 enodes) 26.792 * * [simplify]: Extracting #0: cost 1 inf + 0 26.792 * * [simplify]: Extracting #1: cost 4 inf + 0 26.792 * * [simplify]: Extracting #2: cost 8 inf + 0 26.792 * * [simplify]: Extracting #3: cost 13 inf + 0 26.793 * * [simplify]: Extracting #4: cost 15 inf + 42 26.793 * * [simplify]: Extracting #5: cost 9 inf + 288 26.793 * * [simplify]: Extracting #6: cost 7 inf + 370 26.793 * * [simplify]: Extracting #7: cost 1 inf + 1383 26.793 * * [simplify]: Extracting #8: cost 0 inf + 1545 26.793 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) 26.793 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))))) 26.794 * * * * [progress]: [ 21 / 106 ] simplifiying candidate # 26.794 * [simplify]: Simplifying (/ (sqrt (+ (* a2 a2) (* a1 a1))) 1) 26.794 * * [simplify]: iters left: 6 (8 enodes) 26.798 * * [simplify]: iters left: 5 (25 enodes) 26.805 * * [simplify]: iters left: 4 (27 enodes) 26.814 * * [simplify]: iters left: 3 (29 enodes) 26.822 * * [simplify]: Extracting #0: cost 1 inf + 0 26.822 * * [simplify]: Extracting #1: cost 4 inf + 0 26.822 * * [simplify]: Extracting #2: cost 6 inf + 1 26.822 * * [simplify]: Extracting #3: cost 10 inf + 1 26.822 * * [simplify]: Extracting #4: cost 8 inf + 3 26.822 * * [simplify]: Extracting #5: cost 0 inf + 735 26.822 * [simplify]: Simplified to (sqrt (+ (* a2 a2) (* a1 a1))) 26.822 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2))))) 26.822 * [simplify]: Simplifying (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)) 26.823 * * [simplify]: iters left: 6 (9 enodes) 26.825 * * [simplify]: iters left: 5 (28 enodes) 26.830 * * [simplify]: Extracting #0: cost 1 inf + 0 26.830 * * [simplify]: Extracting #1: cost 4 inf + 0 26.830 * * [simplify]: Extracting #2: cost 8 inf + 0 26.830 * * [simplify]: Extracting #3: cost 8 inf + 83 26.830 * * [simplify]: Extracting #4: cost 12 inf + 83 26.830 * * [simplify]: Extracting #5: cost 8 inf + 167 26.830 * * [simplify]: Extracting #6: cost 6 inf + 249 26.830 * * [simplify]: Extracting #7: cost 3 inf + 655 26.830 * * [simplify]: Extracting #8: cost 1 inf + 1060 26.831 * * [simplify]: Extracting #9: cost 0 inf + 1303 26.831 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)) 26.831 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2))))) 26.831 * * * * [progress]: [ 22 / 106 ] simplifiying candidate # 26.831 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 26.831 * * [simplify]: iters left: 6 (6 enodes) 26.833 * * [simplify]: iters left: 5 (22 enodes) 26.837 * * [simplify]: iters left: 4 (26 enodes) 26.842 * * [simplify]: Extracting #0: cost 1 inf + 0 26.842 * * [simplify]: Extracting #1: cost 6 inf + 0 26.842 * * [simplify]: Extracting #2: cost 9 inf + 1 26.842 * * [simplify]: Extracting #3: cost 11 inf + 1 26.842 * * [simplify]: Extracting #4: cost 8 inf + 84 26.842 * * [simplify]: Extracting #5: cost 2 inf + 1013 26.842 * * [simplify]: Extracting #6: cost 0 inf + 1376 26.842 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 26.842 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))))) 26.843 * [simplify]: Simplifying (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) 26.843 * * [simplify]: iters left: 6 (9 enodes) 26.845 * * [simplify]: iters left: 5 (28 enodes) 26.850 * * [simplify]: Extracting #0: cost 1 inf + 0 26.850 * * [simplify]: Extracting #1: cost 4 inf + 0 26.850 * * [simplify]: Extracting #2: cost 9 inf + 0 26.850 * * [simplify]: Extracting #3: cost 15 inf + 0 26.850 * * [simplify]: Extracting #4: cost 10 inf + 85 26.850 * * [simplify]: Extracting #5: cost 6 inf + 329 26.850 * * [simplify]: Extracting #6: cost 1 inf + 1018 26.850 * * [simplify]: Extracting #7: cost 0 inf + 1301 26.850 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) 26.851 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))))) 26.851 * * * * [progress]: [ 23 / 106 ] simplifiying candidate # 26.851 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt 2) (cbrt 2)))) 26.851 * * [simplify]: iters left: 6 (6 enodes) 26.853 * * [simplify]: iters left: 5 (21 enodes) 26.859 * * [simplify]: iters left: 4 (23 enodes) 26.867 * * [simplify]: Extracting #0: cost 1 inf + 0 26.867 * * [simplify]: Extracting #1: cost 4 inf + 0 26.867 * * [simplify]: Extracting #2: cost 6 inf + 1 26.867 * * [simplify]: Extracting #3: cost 9 inf + 1 26.867 * * [simplify]: Extracting #4: cost 8 inf + 2 26.868 * * [simplify]: Extracting #5: cost 1 inf + 810 26.868 * * [simplify]: Extracting #6: cost 0 inf + 972 26.868 * [simplify]: Simplified to (/ 1 (fabs (cbrt 2))) 26.868 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (/ 1 (fabs (cbrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt 2)))))) 26.869 * [simplify]: Simplifying (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt 2))) 26.869 * * [simplify]: iters left: 6 (9 enodes) 26.873 * * [simplify]: iters left: 5 (28 enodes) 26.882 * * [simplify]: Extracting #0: cost 1 inf + 0 26.882 * * [simplify]: Extracting #1: cost 4 inf + 0 26.882 * * [simplify]: Extracting #2: cost 9 inf + 0 26.882 * * [simplify]: Extracting #3: cost 15 inf + 0 26.882 * * [simplify]: Extracting #4: cost 10 inf + 85 26.882 * * [simplify]: Extracting #5: cost 6 inf + 369 26.883 * * [simplify]: Extracting #6: cost 1 inf + 1098 26.883 * * [simplify]: Extracting #7: cost 0 inf + 1381 26.884 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt 2))) 26.884 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (/ 1 (fabs (cbrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt 2)))))) 26.884 * * * * [progress]: [ 24 / 106 ] simplifiying candidate # 26.884 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 26.884 * * [simplify]: iters left: 4 (5 enodes) 26.887 * * [simplify]: iters left: 3 (17 enodes) 26.893 * * [simplify]: iters left: 2 (19 enodes) 26.900 * * [simplify]: Extracting #0: cost 1 inf + 0 26.900 * * [simplify]: Extracting #1: cost 4 inf + 0 26.900 * * [simplify]: Extracting #2: cost 5 inf + 1 26.900 * * [simplify]: Extracting #3: cost 7 inf + 1 26.900 * * [simplify]: Extracting #4: cost 0 inf + 490 26.900 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 26.900 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (/ 1 (sqrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))))) 26.901 * [simplify]: Simplifying (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) 26.901 * * [simplify]: iters left: 6 (9 enodes) 26.906 * * [simplify]: iters left: 5 (28 enodes) 26.914 * * [simplify]: Extracting #0: cost 1 inf + 0 26.914 * * [simplify]: Extracting #1: cost 4 inf + 0 26.914 * * [simplify]: Extracting #2: cost 9 inf + 0 26.914 * * [simplify]: Extracting #3: cost 15 inf + 0 26.915 * * [simplify]: Extracting #4: cost 10 inf + 85 26.915 * * [simplify]: Extracting #5: cost 6 inf + 289 26.915 * * [simplify]: Extracting #6: cost 1 inf + 898 26.918 * * [simplify]: Extracting #7: cost 0 inf + 1141 26.918 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) 26.918 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (/ 1 (sqrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))))) 26.918 * * * * [progress]: [ 25 / 106 ] simplifiying candidate # 26.919 * [simplify]: Simplifying (/ 1 (sqrt 1)) 26.919 * * [simplify]: iters left: 3 (3 enodes) 26.925 * * [simplify]: iters left: 2 (11 enodes) 26.928 * * [simplify]: iters left: 1 (13 enodes) 26.931 * * [simplify]: Extracting #0: cost 1 inf + 0 26.931 * * [simplify]: Extracting #1: cost 0 inf + 1 26.931 * [simplify]: Simplified to 1 26.931 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* 1 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))) 26.932 * [simplify]: Simplifying (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) 26.932 * * [simplify]: iters left: 6 (8 enodes) 26.936 * * [simplify]: iters left: 5 (25 enodes) 26.943 * * [simplify]: Extracting #0: cost 1 inf + 0 26.943 * * [simplify]: Extracting #1: cost 4 inf + 0 26.943 * * [simplify]: Extracting #2: cost 9 inf + 0 26.943 * * [simplify]: Extracting #3: cost 11 inf + 42 26.944 * * [simplify]: Extracting #4: cost 7 inf + 126 26.944 * * [simplify]: Extracting #5: cost 5 inf + 208 26.944 * * [simplify]: Extracting #6: cost 1 inf + 696 26.944 * * [simplify]: Extracting #7: cost 0 inf + 899 26.944 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) 26.944 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* 1 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))) 26.944 * * * * [progress]: [ 26 / 106 ] simplifiying candidate # 26.944 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 26.944 * * [simplify]: iters left: 4 (5 enodes) 26.946 * * [simplify]: iters left: 3 (17 enodes) 26.950 * * [simplify]: iters left: 2 (19 enodes) 26.953 * * [simplify]: Extracting #0: cost 1 inf + 0 26.953 * * [simplify]: Extracting #1: cost 4 inf + 0 26.953 * * [simplify]: Extracting #2: cost 5 inf + 1 26.953 * * [simplify]: Extracting #3: cost 7 inf + 1 26.953 * * [simplify]: Extracting #4: cost 0 inf + 490 26.953 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 26.953 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* (/ 1 (sqrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))))) 26.954 * [simplify]: Simplifying (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) 26.954 * * [simplify]: iters left: 6 (9 enodes) 26.956 * * [simplify]: iters left: 5 (28 enodes) 26.961 * * [simplify]: Extracting #0: cost 1 inf + 0 26.961 * * [simplify]: Extracting #1: cost 4 inf + 0 26.961 * * [simplify]: Extracting #2: cost 9 inf + 0 26.961 * * [simplify]: Extracting #3: cost 15 inf + 0 26.961 * * [simplify]: Extracting #4: cost 10 inf + 85 26.961 * * [simplify]: Extracting #5: cost 6 inf + 289 26.961 * * [simplify]: Extracting #6: cost 1 inf + 898 26.961 * * [simplify]: Extracting #7: cost 0 inf + 1141 26.961 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) 26.961 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (/ 1 (sqrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))))) 26.962 * * * * [progress]: [ 27 / 106 ] simplifiying candidate # 26.962 * [simplify]: Simplifying (/ 1 1) 26.962 * * [simplify]: iters left: 2 (2 enodes) 26.963 * * [simplify]: iters left: 1 (6 enodes) 26.964 * * [simplify]: Extracting #0: cost 1 inf + 0 26.964 * * [simplify]: Extracting #1: cost 0 inf + 1 26.964 * [simplify]: Simplified to 1 26.964 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (* 1 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))) 26.964 * [simplify]: Simplifying (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) 26.964 * * [simplify]: iters left: 6 (8 enodes) 26.966 * * [simplify]: iters left: 5 (25 enodes) 26.970 * * [simplify]: Extracting #0: cost 1 inf + 0 26.970 * * [simplify]: Extracting #1: cost 4 inf + 0 26.970 * * [simplify]: Extracting #2: cost 9 inf + 0 26.970 * * [simplify]: Extracting #3: cost 11 inf + 42 26.970 * * [simplify]: Extracting #4: cost 7 inf + 126 26.971 * * [simplify]: Extracting #5: cost 5 inf + 208 26.971 * * [simplify]: Extracting #6: cost 1 inf + 696 26.971 * * [simplify]: Extracting #7: cost 0 inf + 899 26.971 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) 26.971 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* 1 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))) 26.971 * * * * [progress]: [ 28 / 106 ] simplifiying candidate # 26.971 * * * * [progress]: [ 29 / 106 ] simplifiying candidate # 26.971 * [simplify]: Simplifying (/ 1 (sqrt 2)) 26.971 * * [simplify]: iters left: 3 (4 enodes) 26.973 * * [simplify]: iters left: 2 (14 enodes) 26.977 * * [simplify]: iters left: 1 (16 enodes) 26.983 * * [simplify]: Extracting #0: cost 1 inf + 0 26.983 * * [simplify]: Extracting #1: cost 4 inf + 0 26.983 * * [simplify]: Extracting #2: cost 5 inf + 1 26.983 * * [simplify]: Extracting #3: cost 3 inf + 43 26.983 * * [simplify]: Extracting #4: cost 1 inf + 166 26.983 * * [simplify]: Extracting #5: cost 0 inf + 248 26.983 * [simplify]: Simplified to (/ 1 (sqrt 2)) 26.983 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (* (+ (* a2 a2) (* a1 a1)) (/ 1 (sqrt 2))))) 26.983 * * * * [progress]: [ 30 / 106 ] simplifiying candidate # 26.984 * [simplify]: Simplifying (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))) 26.984 * * [simplify]: iters left: 6 (8 enodes) 26.989 * * [simplify]: iters left: 5 (25 enodes) 26.996 * * [simplify]: Extracting #0: cost 1 inf + 0 26.996 * * [simplify]: Extracting #1: cost 4 inf + 0 26.997 * * [simplify]: Extracting #2: cost 9 inf + 0 26.997 * * [simplify]: Extracting #3: cost 12 inf + 1 26.997 * * [simplify]: Extracting #4: cost 7 inf + 126 26.997 * * [simplify]: Extracting #5: cost 1 inf + 696 26.997 * * [simplify]: Extracting #6: cost 0 inf + 899 26.998 * [simplify]: Simplified to (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))) 26.998 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (/ 1 (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) 26.998 * * * * [progress]: [ 31 / 106 ] simplifiying candidate # 26.998 * [simplify]: Simplifying (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 26.998 * * [simplify]: iters left: 6 (10 enodes) 27.004 * * [simplify]: iters left: 5 (33 enodes) 27.014 * * [simplify]: iters left: 4 (35 enodes) 27.024 * * [simplify]: Extracting #0: cost 1 inf + 0 27.024 * * [simplify]: Extracting #1: cost 6 inf + 0 27.024 * * [simplify]: Extracting #2: cost 13 inf + 0 27.024 * * [simplify]: Extracting #3: cost 19 inf + 0 27.025 * * [simplify]: Extracting #4: cost 15 inf + 44 27.025 * * [simplify]: Extracting #5: cost 9 inf + 450 27.025 * * [simplify]: Extracting #6: cost 0 inf + 2269 27.026 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 27.026 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (/ (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) 27.026 * * * * [progress]: [ 32 / 106 ] simplifiying candidate # 27.026 * [simplify]: Simplifying (/ (+ (* a2 a2) (* a1 a1)) (sqrt (* (cbrt 2) (cbrt 2)))) 27.027 * * [simplify]: iters left: 6 (10 enodes) 27.032 * * [simplify]: iters left: 5 (32 enodes) 27.042 * * [simplify]: Extracting #0: cost 1 inf + 0 27.042 * * [simplify]: Extracting #1: cost 4 inf + 0 27.043 * * [simplify]: Extracting #2: cost 10 inf + 0 27.043 * * [simplify]: Extracting #3: cost 17 inf + 0 27.043 * * [simplify]: Extracting #4: cost 12 inf + 85 27.043 * * [simplify]: Extracting #5: cost 6 inf + 611 27.043 * * [simplify]: Extracting #6: cost 2 inf + 1218 27.044 * * [simplify]: Extracting #7: cost 0 inf + 1623 27.044 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (fabs (cbrt 2))) 27.044 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (/ (/ (+ (* a2 a2) (* a1 a1)) (fabs (cbrt 2))) (sqrt (cbrt 2))))) 27.044 * * * * [progress]: [ 33 / 106 ] simplifiying candidate # 27.045 * [simplify]: Simplifying (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) 27.045 * * [simplify]: iters left: 6 (9 enodes) 27.052 * * [simplify]: iters left: 5 (28 enodes) 27.061 * * [simplify]: Extracting #0: cost 1 inf + 0 27.061 * * [simplify]: Extracting #1: cost 4 inf + 0 27.061 * * [simplify]: Extracting #2: cost 9 inf + 0 27.061 * * [simplify]: Extracting #3: cost 15 inf + 0 27.061 * * [simplify]: Extracting #4: cost 10 inf + 85 27.061 * * [simplify]: Extracting #5: cost 6 inf + 289 27.062 * * [simplify]: Extracting #6: cost 1 inf + 898 27.062 * * [simplify]: Extracting #7: cost 0 inf + 1141 27.062 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) 27.062 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (/ (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) 27.063 * * * * [progress]: [ 34 / 106 ] simplifiying candidate # 27.063 * [simplify]: Simplifying (/ (+ (* a2 a2) (* a1 a1)) (sqrt 1)) 27.063 * * [simplify]: iters left: 6 (8 enodes) 27.069 * * [simplify]: iters left: 5 (27 enodes) 27.077 * * [simplify]: iters left: 4 (29 enodes) 27.086 * * [simplify]: iters left: 3 (31 enodes) 27.094 * * [simplify]: Extracting #0: cost 1 inf + 0 27.094 * * [simplify]: Extracting #1: cost 5 inf + 0 27.094 * * [simplify]: Extracting #2: cost 8 inf + 1 27.094 * * [simplify]: Extracting #3: cost 4 inf + 85 27.094 * * [simplify]: Extracting #4: cost 1 inf + 289 27.094 * * [simplify]: Extracting #5: cost 0 inf + 411 27.095 * [simplify]: Simplified to (+ (* a2 a2) (* a1 a1)) 27.095 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 27.095 * * * * [progress]: [ 35 / 106 ] simplifiying candidate # 27.095 * [simplify]: Simplifying (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) 27.095 * * [simplify]: iters left: 6 (9 enodes) 27.100 * * [simplify]: iters left: 5 (28 enodes) 27.109 * * [simplify]: Extracting #0: cost 1 inf + 0 27.109 * * [simplify]: Extracting #1: cost 4 inf + 0 27.109 * * [simplify]: Extracting #2: cost 9 inf + 0 27.109 * * [simplify]: Extracting #3: cost 15 inf + 0 27.109 * * [simplify]: Extracting #4: cost 10 inf + 85 27.109 * * [simplify]: Extracting #5: cost 6 inf + 289 27.110 * * [simplify]: Extracting #6: cost 1 inf + 898 27.110 * * [simplify]: Extracting #7: cost 0 inf + 1141 27.111 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) 27.111 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (/ (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) 27.111 * * * * [progress]: [ 36 / 106 ] simplifiying candidate # 27.111 * [simplify]: Simplifying (/ (+ (* a2 a2) (* a1 a1)) 1) 27.111 * * [simplify]: iters left: 6 (7 enodes) 27.115 * * [simplify]: iters left: 5 (22 enodes) 27.122 * * [simplify]: iters left: 4 (24 enodes) 27.130 * * [simplify]: iters left: 3 (26 enodes) 27.138 * * [simplify]: Extracting #0: cost 1 inf + 0 27.138 * * [simplify]: Extracting #1: cost 5 inf + 0 27.138 * * [simplify]: Extracting #2: cost 8 inf + 1 27.138 * * [simplify]: Extracting #3: cost 6 inf + 3 27.138 * * [simplify]: Extracting #4: cost 1 inf + 289 27.139 * * [simplify]: Extracting #5: cost 0 inf + 411 27.139 * [simplify]: Simplified to (+ (* a2 a2) (* a1 a1)) 27.139 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 27.139 * * * * [progress]: [ 37 / 106 ] simplifiying candidate # 27.139 * [simplify]: Simplifying (/ (sqrt 2) (cbrt (+ (* a2 a2) (* a1 a1)))) 27.140 * * [simplify]: iters left: 6 (9 enodes) 27.144 * * [simplify]: iters left: 5 (28 enodes) 27.153 * * [simplify]: Extracting #0: cost 1 inf + 0 27.153 * * [simplify]: Extracting #1: cost 4 inf + 0 27.153 * * [simplify]: Extracting #2: cost 8 inf + 0 27.153 * * [simplify]: Extracting #3: cost 10 inf + 1 27.153 * * [simplify]: Extracting #4: cost 12 inf + 83 27.153 * * [simplify]: Extracting #5: cost 7 inf + 208 27.153 * * [simplify]: Extracting #6: cost 4 inf + 573 27.154 * * [simplify]: Extracting #7: cost 1 inf + 1180 27.154 * * [simplify]: Extracting #8: cost 0 inf + 1463 27.155 * [simplify]: Simplified to (/ (sqrt 2) (cbrt (+ (* a2 a2) (* a1 a1)))) 27.155 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 2) (cbrt (+ (* a2 a2) (* a1 a1))))))) 27.155 * * * * [progress]: [ 38 / 106 ] simplifiying candidate # 27.155 * [simplify]: Simplifying (/ (sqrt 2) (sqrt (+ (* a2 a2) (* a1 a1)))) 27.155 * * [simplify]: iters left: 6 (9 enodes) 27.160 * * [simplify]: iters left: 5 (28 enodes) 27.169 * * [simplify]: Extracting #0: cost 1 inf + 0 27.169 * * [simplify]: Extracting #1: cost 4 inf + 0 27.169 * * [simplify]: Extracting #2: cost 8 inf + 0 27.169 * * [simplify]: Extracting #3: cost 10 inf + 1 27.169 * * [simplify]: Extracting #4: cost 12 inf + 83 27.170 * * [simplify]: Extracting #5: cost 7 inf + 208 27.170 * * [simplify]: Extracting #6: cost 4 inf + 533 27.170 * * [simplify]: Extracting #7: cost 1 inf + 1060 27.170 * * [simplify]: Extracting #8: cost 0 inf + 1303 27.170 * [simplify]: Simplified to (/ (sqrt 2) (sqrt (+ (* a2 a2) (* a1 a1)))) 27.171 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (sqrt (+ (* a2 a2) (* a1 a1))))))) 27.171 * * * * [progress]: [ 39 / 106 ] simplifiying candidate # 27.171 * [simplify]: Simplifying (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))) 27.171 * * [simplify]: iters left: 6 (8 enodes) 27.173 * * [simplify]: iters left: 5 (25 enodes) 27.178 * * [simplify]: Extracting #0: cost 1 inf + 0 27.178 * * [simplify]: Extracting #1: cost 4 inf + 0 27.178 * * [simplify]: Extracting #2: cost 9 inf + 0 27.178 * * [simplify]: Extracting #3: cost 12 inf + 1 27.178 * * [simplify]: Extracting #4: cost 7 inf + 126 27.178 * * [simplify]: Extracting #5: cost 1 inf + 696 27.178 * * [simplify]: Extracting #6: cost 0 inf + 899 27.179 * [simplify]: Simplified to (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))) 27.179 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (/ 1 (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) 27.179 * * * * [progress]: [ 40 / 106 ] simplifiying candidate # 27.179 * [simplify]: Simplifying (* (sqrt 2) (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1))))) 27.179 * * [simplify]: iters left: 6 (12 enodes) 27.183 * * [simplify]: iters left: 5 (65 enodes) 27.200 * * [simplify]: iters left: 4 (162 enodes) 27.246 * * [simplify]: iters left: 3 (396 enodes) 27.403 * * [simplify]: Extracting #0: cost 1 inf + 0 27.404 * * [simplify]: Extracting #1: cost 11 inf + 0 27.404 * * [simplify]: Extracting #2: cost 128 inf + 0 27.406 * * [simplify]: Extracting #3: cost 200 inf + 1625 27.414 * * [simplify]: Extracting #4: cost 85 inf + 20331 27.429 * * [simplify]: Extracting #5: cost 4 inf + 34979 27.445 * * [simplify]: Extracting #6: cost 0 inf + 35750 27.465 * [simplify]: Simplified to (* (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))) (sqrt 2)) 27.465 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (/ (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3)) (* (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))) (sqrt 2))))) 27.465 * * * * [progress]: [ 41 / 106 ] simplifiying candidate # 27.466 * [simplify]: Simplifying (* (sqrt 2) (- (* a2 a2) (* a1 a1))) 27.466 * * [simplify]: iters left: 6 (8 enodes) 27.471 * * [simplify]: iters left: 5 (30 enodes) 27.481 * * [simplify]: iters left: 4 (53 enodes) 27.500 * * [simplify]: iters left: 3 (115 enodes) 27.533 * * [simplify]: iters left: 2 (285 enodes) 27.631 * * [simplify]: Extracting #0: cost 1 inf + 0 27.631 * * [simplify]: Extracting #1: cost 46 inf + 0 27.632 * * [simplify]: Extracting #2: cost 115 inf + 0 27.633 * * [simplify]: Extracting #3: cost 115 inf + 1429 27.639 * * [simplify]: Extracting #4: cost 30 inf + 13747 27.651 * * [simplify]: Extracting #5: cost 0 inf + 18783 27.660 * [simplify]: Simplified to (* (- (* a2 a2) (* a1 a1)) (sqrt 2)) 27.660 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (* (cos th) (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (* (- (* a2 a2) (* a1 a1)) (sqrt 2))))) 27.660 * * * * [progress]: [ 42 / 106 ] simplifiying candidate #real (real->posit16 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))))> 27.660 * [simplify]: Simplifying (real->posit16 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 27.660 * * [simplify]: iters left: 6 (9 enodes) 27.665 * * [simplify]: iters left: 5 (25 enodes) 27.674 * * [simplify]: Extracting #0: cost 1 inf + 0 27.674 * * [simplify]: Extracting #1: cost 2 inf + 0 27.674 * * [simplify]: Extracting #2: cost 4 inf + 0 27.674 * * [simplify]: Extracting #3: cost 9 inf + 0 27.674 * * [simplify]: Extracting #4: cost 10 inf + 83 27.674 * * [simplify]: Extracting #5: cost 6 inf + 167 27.674 * * [simplify]: Extracting #6: cost 4 inf + 249 27.675 * * [simplify]: Extracting #7: cost 1 inf + 696 27.675 * * [simplify]: Extracting #8: cost 0 inf + 899 27.675 * [simplify]: Simplified to (real->posit16 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 27.675 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (posit16->real (real->posit16 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))))) 27.675 * * * * [progress]: [ 43 / 106 ] simplifiying candidate # 27.676 * [simplify]: Simplifying (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 27.676 * * [simplify]: iters left: 6 (11 enodes) 27.682 * * [simplify]: iters left: 5 (37 enodes) 27.694 * * [simplify]: iters left: 4 (51 enodes) 27.710 * * [simplify]: iters left: 3 (71 enodes) 27.730 * * [simplify]: iters left: 2 (91 enodes) 27.755 * * [simplify]: iters left: 1 (108 enodes) 27.782 * * [simplify]: Extracting #0: cost 1 inf + 0 27.782 * * [simplify]: Extracting #1: cost 12 inf + 0 27.782 * * [simplify]: Extracting #2: cost 40 inf + 0 27.782 * * [simplify]: Extracting #3: cost 37 inf + 453 27.783 * * [simplify]: Extracting #4: cost 10 inf + 4254 27.784 * * [simplify]: Extracting #5: cost 1 inf + 6201 27.785 * * [simplify]: Extracting #6: cost 0 inf + 6424 27.786 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) 27.786 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (pow (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) 1)) 27.786 * * * * [progress]: [ 44 / 106 ] simplifiying candidate # 27.786 * * * * [progress]: [ 45 / 106 ] simplifiying candidate # 27.786 * [simplify]: Simplifying (+ (log (cos th)) (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt 2)))) 27.786 * * [simplify]: iters left: 6 (14 enodes) 27.791 * * [simplify]: iters left: 5 (48 enodes) 27.799 * * [simplify]: iters left: 4 (59 enodes) 27.809 * * [simplify]: iters left: 3 (69 enodes) 27.828 * * [simplify]: iters left: 2 (77 enodes) 27.850 * * [simplify]: iters left: 1 (90 enodes) 27.868 * * [simplify]: Extracting #0: cost 1 inf + 0 27.868 * * [simplify]: Extracting #1: cost 13 inf + 0 27.868 * * [simplify]: Extracting #2: cost 27 inf + 0 27.868 * * [simplify]: Extracting #3: cost 34 inf + 0 27.868 * * [simplify]: Extracting #4: cost 35 inf + 63 27.868 * * [simplify]: Extracting #5: cost 22 inf + 1267 27.869 * * [simplify]: Extracting #6: cost 6 inf + 4909 27.870 * * [simplify]: Extracting #7: cost 1 inf + 6634 27.871 * * [simplify]: Extracting #8: cost 0 inf + 6997 27.872 * [simplify]: Simplified to (+ (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt 2))) (log (cos th))) 27.872 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (+ (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt 2))) (log (cos th))))) 27.872 * * * * [progress]: [ 46 / 106 ] simplifiying candidate # 27.873 * [simplify]: Simplifying (+ (log (cos th)) (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 27.873 * * [simplify]: iters left: 6 (13 enodes) 27.876 * * [simplify]: iters left: 5 (44 enodes) 27.883 * * [simplify]: iters left: 4 (54 enodes) 27.894 * * [simplify]: iters left: 3 (69 enodes) 27.914 * * [simplify]: iters left: 2 (85 enodes) 27.939 * * [simplify]: iters left: 1 (88 enodes) 27.962 * * [simplify]: Extracting #0: cost 1 inf + 0 27.963 * * [simplify]: Extracting #1: cost 13 inf + 0 27.963 * * [simplify]: Extracting #2: cost 26 inf + 0 27.963 * * [simplify]: Extracting #3: cost 34 inf + 0 27.963 * * [simplify]: Extracting #4: cost 35 inf + 63 27.964 * * [simplify]: Extracting #5: cost 21 inf + 1860 27.965 * * [simplify]: Extracting #6: cost 11 inf + 3064 27.966 * * [simplify]: Extracting #7: cost 2 inf + 5921 27.968 * * [simplify]: Extracting #8: cost 0 inf + 6638 27.970 * * [simplify]: Extracting #9: cost 0 inf + 6568 27.973 * [simplify]: Simplified to (+ (log (cos th)) (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))) 27.973 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (cos th)) (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))))) 27.973 * * * * [progress]: [ 47 / 106 ] simplifiying candidate # 27.973 * [simplify]: Simplifying (log (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 27.974 * * [simplify]: iters left: 6 (12 enodes) 27.980 * * [simplify]: iters left: 5 (43 enodes) 27.994 * * [simplify]: iters left: 4 (67 enodes) 28.015 * * [simplify]: iters left: 3 (100 enodes) 28.042 * * [simplify]: iters left: 2 (138 enodes) 28.063 * * [simplify]: iters left: 1 (174 enodes) 28.089 * * [simplify]: Extracting #0: cost 1 inf + 0 28.089 * * [simplify]: Extracting #1: cost 17 inf + 0 28.089 * * [simplify]: Extracting #2: cost 42 inf + 0 28.089 * * [simplify]: Extracting #3: cost 70 inf + 0 28.090 * * [simplify]: Extracting #4: cost 64 inf + 960 28.091 * * [simplify]: Extracting #5: cost 26 inf + 7610 28.093 * * [simplify]: Extracting #6: cost 1 inf + 13235 28.096 * * [simplify]: Extracting #7: cost 0 inf + 13548 28.098 * [simplify]: Simplified to (log (/ (cos th) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) 28.098 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (log (/ (cos th) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))))) 28.098 * * * * [progress]: [ 48 / 106 ] simplifiying candidate # 28.099 * [simplify]: Simplifying (exp (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 28.099 * * [simplify]: iters left: 6 (12 enodes) 28.102 * * [simplify]: iters left: 5 (42 enodes) 28.111 * * [simplify]: iters left: 4 (63 enodes) 28.127 * * [simplify]: iters left: 3 (96 enodes) 28.143 * * [simplify]: iters left: 2 (154 enodes) 28.177 * * [simplify]: iters left: 1 (281 enodes) 28.261 * * [simplify]: Extracting #0: cost 1 inf + 0 28.261 * * [simplify]: Extracting #1: cost 34 inf + 0 28.262 * * [simplify]: Extracting #2: cost 117 inf + 1 28.263 * * [simplify]: Extracting #3: cost 156 inf + 1063 28.269 * * [simplify]: Extracting #4: cost 68 inf + 26850 28.285 * * [simplify]: Extracting #5: cost 5 inf + 52679 28.302 * * [simplify]: Extracting #6: cost 0 inf + 57086 28.320 * * [simplify]: Extracting #7: cost 0 inf + 56784 28.330 * [simplify]: Simplified to (exp (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))) 28.331 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (log (exp (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))))) 28.331 * * * * [progress]: [ 49 / 106 ] simplifiying candidate # 28.331 * [simplify]: Simplifying (* (* (* (cos th) (cos th)) (cos th)) (/ (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) 28.331 * * [simplify]: iters left: 6 (17 enodes) 28.336 * * [simplify]: iters left: 5 (77 enodes) 28.357 * * [simplify]: iters left: 4 (267 enodes) 28.541 * * [simplify]: Extracting #0: cost 1 inf + 0 28.542 * * [simplify]: Extracting #1: cost 64 inf + 0 28.543 * * [simplify]: Extracting #2: cost 192 inf + 123 28.545 * * [simplify]: Extracting #3: cost 297 inf + 1843 28.548 * * [simplify]: Extracting #4: cost 285 inf + 5208 28.558 * * [simplify]: Extracting #5: cost 193 inf + 26761 28.595 * * [simplify]: Extracting #6: cost 14 inf + 81394 28.616 * * [simplify]: Extracting #7: cost 0 inf + 85016 28.646 * [simplify]: Simplified to (* (/ (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (* 2 (sqrt 2))) (* (* (cos th) (cos th)) (cos th))) 28.646 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (* 2 (sqrt 2))) (* (* (cos th) (cos th)) (cos th))))) 28.646 * * * * [progress]: [ 50 / 106 ] simplifiying candidate # 28.646 * [simplify]: Simplifying (* (* (* (cos th) (cos th)) (cos th)) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 28.647 * * [simplify]: iters left: 6 (15 enodes) 28.655 * * [simplify]: iters left: 5 (59 enodes) 28.674 * * [simplify]: iters left: 4 (136 enodes) 28.723 * * [simplify]: iters left: 3 (458 enodes) 29.082 * * [simplify]: Extracting #0: cost 1 inf + 0 29.082 * * [simplify]: Extracting #1: cost 62 inf + 0 29.084 * * [simplify]: Extracting #2: cost 240 inf + 2 29.087 * * [simplify]: Extracting #3: cost 411 inf + 1136 29.106 * * [simplify]: Extracting #4: cost 283 inf + 47507 29.141 * * [simplify]: Extracting #5: cost 30 inf + 137254 29.182 * * [simplify]: Extracting #6: cost 0 inf + 146372 29.249 * * [simplify]: Extracting #7: cost 0 inf + 146110 29.313 * [simplify]: Simplified to (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)))) 29.314 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)))))) 29.314 * * * * [progress]: [ 51 / 106 ] simplifiying candidate # 29.314 * [simplify]: Simplifying (* (cbrt (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (cbrt (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))) 29.314 * * [simplify]: iters left: 6 (13 enodes) 29.318 * * [simplify]: iters left: 5 (43 enodes) 29.324 * * [simplify]: iters left: 4 (57 enodes) 29.334 * * [simplify]: iters left: 3 (77 enodes) 29.350 * * [simplify]: iters left: 2 (97 enodes) 29.366 * * [simplify]: iters left: 1 (114 enodes) 29.382 * * [simplify]: Extracting #0: cost 1 inf + 0 29.382 * * [simplify]: Extracting #1: cost 3 inf + 0 29.382 * * [simplify]: Extracting #2: cost 5 inf + 0 29.382 * * [simplify]: Extracting #3: cost 16 inf + 0 29.382 * * [simplify]: Extracting #4: cost 44 inf + 0 29.383 * * [simplify]: Extracting #5: cost 43 inf + 330 29.384 * * [simplify]: Extracting #6: cost 15 inf + 4373 29.386 * * [simplify]: Extracting #7: cost 1 inf + 7877 29.389 * * [simplify]: Extracting #8: cost 0 inf + 8040 29.392 * [simplify]: Simplified to (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))))) 29.392 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))))) (cbrt (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))))) 29.392 * [simplify]: Simplifying (cbrt (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 29.393 * * [simplify]: iters left: 6 (12 enodes) 29.399 * * [simplify]: iters left: 5 (40 enodes) 29.411 * * [simplify]: iters left: 4 (54 enodes) 29.427 * * [simplify]: iters left: 3 (74 enodes) 29.437 * * [simplify]: iters left: 2 (94 enodes) 29.450 * * [simplify]: iters left: 1 (111 enodes) 29.480 * * [simplify]: Extracting #0: cost 1 inf + 0 29.480 * * [simplify]: Extracting #1: cost 3 inf + 0 29.480 * * [simplify]: Extracting #2: cost 14 inf + 0 29.480 * * [simplify]: Extracting #3: cost 42 inf + 0 29.481 * * [simplify]: Extracting #4: cost 37 inf + 677 29.482 * * [simplify]: Extracting #5: cost 10 inf + 4719 29.485 * * [simplify]: Extracting #6: cost 0 inf + 7192 29.487 * [simplify]: Simplified to (cbrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) 29.487 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (cbrt (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))) (cbrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))))) 29.487 * * * * [progress]: [ 52 / 106 ] simplifiying candidate # 29.488 * [simplify]: Simplifying (* (* (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 29.488 * * [simplify]: iters left: 6 (13 enodes) 29.495 * * [simplify]: iters left: 5 (53 enodes) 29.509 * * [simplify]: iters left: 4 (129 enodes) 29.557 * * [simplify]: iters left: 3 (431 enodes) 29.859 * * [simplify]: Extracting #0: cost 1 inf + 0 29.860 * * [simplify]: Extracting #1: cost 73 inf + 0 29.861 * * [simplify]: Extracting #2: cost 261 inf + 1 29.865 * * [simplify]: Extracting #3: cost 372 inf + 1601 29.884 * * [simplify]: Extracting #4: cost 222 inf + 49084 29.926 * * [simplify]: Extracting #5: cost 3 inf + 121745 29.983 * * [simplify]: Extracting #6: cost 0 inf + 122474 30.021 * [simplify]: Simplified to (* (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))) 30.021 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))))) 30.021 * * * * [progress]: [ 53 / 106 ] simplifiying candidate # 30.021 * [simplify]: Simplifying (sqrt (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 30.021 * * [simplify]: iters left: 6 (12 enodes) 30.025 * * [simplify]: iters left: 5 (40 enodes) 30.036 * * [simplify]: iters left: 4 (54 enodes) 30.053 * * [simplify]: iters left: 3 (74 enodes) 30.075 * * [simplify]: iters left: 2 (94 enodes) 30.093 * * [simplify]: iters left: 1 (111 enodes) 30.108 * * [simplify]: Extracting #0: cost 1 inf + 0 30.108 * * [simplify]: Extracting #1: cost 3 inf + 0 30.108 * * [simplify]: Extracting #2: cost 14 inf + 0 30.108 * * [simplify]: Extracting #3: cost 42 inf + 0 30.108 * * [simplify]: Extracting #4: cost 37 inf + 677 30.109 * * [simplify]: Extracting #5: cost 10 inf + 4719 30.110 * * [simplify]: Extracting #6: cost 0 inf + 7112 30.111 * [simplify]: Simplified to (sqrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) 30.111 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (sqrt (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))))) 30.112 * [simplify]: Simplifying (sqrt (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 30.112 * * [simplify]: iters left: 6 (12 enodes) 30.116 * * [simplify]: iters left: 5 (40 enodes) 30.129 * * [simplify]: iters left: 4 (54 enodes) 30.147 * * [simplify]: iters left: 3 (74 enodes) 30.167 * * [simplify]: iters left: 2 (94 enodes) 30.188 * * [simplify]: iters left: 1 (111 enodes) 30.205 * * [simplify]: Extracting #0: cost 1 inf + 0 30.205 * * [simplify]: Extracting #1: cost 3 inf + 0 30.205 * * [simplify]: Extracting #2: cost 14 inf + 0 30.205 * * [simplify]: Extracting #3: cost 42 inf + 0 30.205 * * [simplify]: Extracting #4: cost 37 inf + 677 30.206 * * [simplify]: Extracting #5: cost 10 inf + 4719 30.208 * * [simplify]: Extracting #6: cost 0 inf + 7112 30.209 * [simplify]: Simplified to (sqrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) 30.209 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (sqrt (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (sqrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))))) 30.209 * * * * [progress]: [ 54 / 106 ] simplifiying candidate # 30.209 * * * * [progress]: [ 55 / 106 ] simplifiying candidate # 30.209 * [simplify]: Simplifying (* (sqrt (cos th)) (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 30.209 * * [simplify]: iters left: 6 (13 enodes) 30.213 * * [simplify]: iters left: 5 (41 enodes) 30.219 * * [simplify]: Extracting #0: cost 1 inf + 0 30.219 * * [simplify]: Extracting #1: cost 4 inf + 0 30.219 * * [simplify]: Extracting #2: cost 8 inf + 0 30.219 * * [simplify]: Extracting #3: cost 13 inf + 0 30.219 * * [simplify]: Extracting #4: cost 17 inf + 1 30.219 * * [simplify]: Extracting #5: cost 18 inf + 104 30.219 * * [simplify]: Extracting #6: cost 12 inf + 410 30.220 * * [simplify]: Extracting #7: cost 8 inf + 655 30.220 * * [simplify]: Extracting #8: cost 4 inf + 1264 30.220 * * [simplify]: Extracting #9: cost 1 inf + 2094 30.221 * * [simplify]: Extracting #10: cost 0 inf + 2478 30.221 * [simplify]: Simplified to (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (sqrt (cos th))) 30.221 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (sqrt (cos th))) (* (sqrt (cos th)) (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))))) 30.221 * [simplify]: Simplifying (* (sqrt (cos th)) (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 30.221 * * [simplify]: iters left: 6 (13 enodes) 30.225 * * [simplify]: iters left: 5 (41 enodes) 30.232 * * [simplify]: Extracting #0: cost 1 inf + 0 30.232 * * [simplify]: Extracting #1: cost 4 inf + 0 30.232 * * [simplify]: Extracting #2: cost 8 inf + 0 30.232 * * [simplify]: Extracting #3: cost 13 inf + 0 30.232 * * [simplify]: Extracting #4: cost 17 inf + 1 30.232 * * [simplify]: Extracting #5: cost 18 inf + 104 30.232 * * [simplify]: Extracting #6: cost 12 inf + 410 30.232 * * [simplify]: Extracting #7: cost 8 inf + 655 30.233 * * [simplify]: Extracting #8: cost 4 inf + 1264 30.233 * * [simplify]: Extracting #9: cost 1 inf + 2094 30.233 * * [simplify]: Extracting #10: cost 0 inf + 2478 30.234 * [simplify]: Simplified to (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (sqrt (cos th))) 30.234 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (sqrt (cos th))))) 30.234 * * * * [progress]: [ 56 / 106 ] simplifiying candidate # 30.234 * [simplify]: Simplifying (* (sqrt (cos th)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))) 30.234 * * [simplify]: iters left: 6 (14 enodes) 30.238 * * [simplify]: iters left: 5 (46 enodes) 30.245 * * [simplify]: iters left: 4 (52 enodes) 30.257 * * [simplify]: iters left: 3 (56 enodes) 30.265 * * [simplify]: iters left: 2 (60 enodes) 30.274 * * [simplify]: iters left: 1 (63 enodes) 30.284 * * [simplify]: Extracting #0: cost 1 inf + 0 30.284 * * [simplify]: Extracting #1: cost 10 inf + 0 30.284 * * [simplify]: Extracting #2: cost 21 inf + 0 30.284 * * [simplify]: Extracting #3: cost 28 inf + 0 30.284 * * [simplify]: Extracting #4: cost 28 inf + 124 30.285 * * [simplify]: Extracting #5: cost 19 inf + 613 30.285 * * [simplify]: Extracting #6: cost 7 inf + 2737 30.286 * * [simplify]: Extracting #7: cost 0 inf + 4778 30.287 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) 30.287 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (cos th)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))))) 30.288 * [simplify]: Simplifying (* (sqrt (cos th)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))) 30.288 * * [simplify]: iters left: 6 (14 enodes) 30.297 * * [simplify]: iters left: 5 (46 enodes) 30.310 * * [simplify]: iters left: 4 (52 enodes) 30.326 * * [simplify]: iters left: 3 (56 enodes) 30.342 * * [simplify]: iters left: 2 (60 enodes) 30.359 * * [simplify]: iters left: 1 (63 enodes) 30.370 * * [simplify]: Extracting #0: cost 1 inf + 0 30.370 * * [simplify]: Extracting #1: cost 10 inf + 0 30.370 * * [simplify]: Extracting #2: cost 21 inf + 0 30.370 * * [simplify]: Extracting #3: cost 28 inf + 0 30.370 * * [simplify]: Extracting #4: cost 28 inf + 124 30.370 * * [simplify]: Extracting #5: cost 19 inf + 613 30.370 * * [simplify]: Extracting #6: cost 7 inf + 2737 30.371 * * [simplify]: Extracting #7: cost 0 inf + 4778 30.372 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) 30.372 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 30.372 * * * * [progress]: [ 57 / 106 ] simplifiying candidate # 30.372 * [simplify]: Simplifying (* (sqrt (cos th)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))) 30.372 * * [simplify]: iters left: 6 (14 enodes) 30.376 * * [simplify]: iters left: 5 (46 enodes) 30.383 * * [simplify]: iters left: 4 (52 enodes) 30.399 * * [simplify]: iters left: 3 (56 enodes) 30.415 * * [simplify]: iters left: 2 (60 enodes) 30.432 * * [simplify]: iters left: 1 (63 enodes) 30.441 * * [simplify]: Extracting #0: cost 1 inf + 0 30.441 * * [simplify]: Extracting #1: cost 10 inf + 0 30.441 * * [simplify]: Extracting #2: cost 21 inf + 0 30.441 * * [simplify]: Extracting #3: cost 28 inf + 0 30.441 * * [simplify]: Extracting #4: cost 28 inf + 124 30.441 * * [simplify]: Extracting #5: cost 19 inf + 613 30.442 * * [simplify]: Extracting #6: cost 7 inf + 2737 30.442 * * [simplify]: Extracting #7: cost 0 inf + 4778 30.443 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) 30.443 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (cos th)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))))) 30.443 * [simplify]: Simplifying (* (sqrt (cos th)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))) 30.444 * * [simplify]: iters left: 6 (14 enodes) 30.447 * * [simplify]: iters left: 5 (46 enodes) 30.455 * * [simplify]: iters left: 4 (52 enodes) 30.466 * * [simplify]: iters left: 3 (56 enodes) 30.482 * * [simplify]: iters left: 2 (60 enodes) 30.499 * * [simplify]: iters left: 1 (63 enodes) 30.516 * * [simplify]: Extracting #0: cost 1 inf + 0 30.517 * * [simplify]: Extracting #1: cost 10 inf + 0 30.517 * * [simplify]: Extracting #2: cost 21 inf + 0 30.517 * * [simplify]: Extracting #3: cost 28 inf + 0 30.517 * * [simplify]: Extracting #4: cost 28 inf + 124 30.517 * * [simplify]: Extracting #5: cost 19 inf + 613 30.518 * * [simplify]: Extracting #6: cost 7 inf + 2737 30.519 * * [simplify]: Extracting #7: cost 0 inf + 4778 30.521 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) 30.521 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 30.521 * * * * [progress]: [ 58 / 106 ] simplifiying candidate # 30.522 * [simplify]: Simplifying (* (cos th) (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))) 30.522 * * [simplify]: iters left: 6 (13 enodes) 30.528 * * [simplify]: iters left: 5 (43 enodes) 30.541 * * [simplify]: iters left: 4 (47 enodes) 30.551 * * [simplify]: Extracting #0: cost 1 inf + 0 30.551 * * [simplify]: Extracting #1: cost 6 inf + 0 30.551 * * [simplify]: Extracting #2: cost 12 inf + 0 30.551 * * [simplify]: Extracting #3: cost 14 inf + 1 30.551 * * [simplify]: Extracting #4: cost 18 inf + 62 30.551 * * [simplify]: Extracting #5: cost 20 inf + 124 30.551 * * [simplify]: Extracting #6: cost 14 inf + 290 30.551 * * [simplify]: Extracting #7: cost 10 inf + 697 30.551 * * [simplify]: Extracting #8: cost 4 inf + 2436 30.552 * * [simplify]: Extracting #9: cost 0 inf + 3850 30.553 * [simplify]: Simplified to (* (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (cos th)) 30.553 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (cos th)) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))) 30.553 * * * * [progress]: [ 59 / 106 ] simplifiying candidate # 30.553 * [simplify]: Simplifying (* (cos th) (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 30.553 * * [simplify]: iters left: 6 (12 enodes) 30.558 * * [simplify]: iters left: 5 (38 enodes) 30.564 * * [simplify]: Extracting #0: cost 1 inf + 0 30.564 * * [simplify]: Extracting #1: cost 4 inf + 0 30.564 * * [simplify]: Extracting #2: cost 8 inf + 0 30.564 * * [simplify]: Extracting #3: cost 10 inf + 1 30.564 * * [simplify]: Extracting #4: cost 13 inf + 123 30.564 * * [simplify]: Extracting #5: cost 16 inf + 124 30.564 * * [simplify]: Extracting #6: cost 10 inf + 290 30.565 * * [simplify]: Extracting #7: cost 4 inf + 1022 30.565 * * [simplify]: Extracting #8: cost 0 inf + 2196 30.565 * [simplify]: Simplified to (* (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th)) 30.565 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th)) (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))) 30.565 * * * * [progress]: [ 60 / 106 ] simplifiying candidate # 30.566 * [simplify]: Simplifying (* (cos th) (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 30.566 * * [simplify]: iters left: 6 (15 enodes) 30.570 * * [simplify]: iters left: 5 (55 enodes) 30.583 * * [simplify]: iters left: 4 (93 enodes) 30.603 * * [simplify]: iters left: 3 (150 enodes) 30.632 * * [simplify]: iters left: 2 (215 enodes) 30.700 * * [simplify]: iters left: 1 (248 enodes) 30.767 * * [simplify]: Extracting #0: cost 1 inf + 0 30.767 * * [simplify]: Extracting #1: cost 26 inf + 0 30.768 * * [simplify]: Extracting #2: cost 53 inf + 0 30.768 * * [simplify]: Extracting #3: cost 56 inf + 62 30.769 * * [simplify]: Extracting #4: cost 58 inf + 124 30.770 * * [simplify]: Extracting #5: cost 35 inf + 4043 30.775 * * [simplify]: Extracting #6: cost 7 inf + 14589 30.778 * * [simplify]: Extracting #7: cost 0 inf + 17472 30.782 * [simplify]: Simplified to (/ (/ (cos th) (/ (cbrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1))))) 30.782 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 30.782 * * * * [progress]: [ 61 / 106 ] simplifiying candidate # 30.783 * [simplify]: Simplifying (* (cos th) (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (* (cbrt 2) (cbrt 2))))) 30.783 * * [simplify]: iters left: 6 (15 enodes) 30.787 * * [simplify]: iters left: 5 (52 enodes) 30.795 * * [simplify]: iters left: 4 (67 enodes) 30.805 * * [simplify]: iters left: 3 (87 enodes) 30.830 * * [simplify]: iters left: 2 (107 enodes) 30.860 * * [simplify]: iters left: 1 (114 enodes) 30.875 * * [simplify]: Extracting #0: cost 1 inf + 0 30.876 * * [simplify]: Extracting #1: cost 16 inf + 0 30.876 * * [simplify]: Extracting #2: cost 34 inf + 0 30.876 * * [simplify]: Extracting #3: cost 38 inf + 62 30.876 * * [simplify]: Extracting #4: cost 40 inf + 124 30.876 * * [simplify]: Extracting #5: cost 31 inf + 834 30.877 * * [simplify]: Extracting #6: cost 13 inf + 5335 30.878 * * [simplify]: Extracting #7: cost 0 inf + 10176 30.880 * [simplify]: Simplified to (/ (cos th) (/ (fabs (cbrt 2)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))) 30.880 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (/ (fabs (cbrt 2)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2))))) 30.880 * * * * [progress]: [ 62 / 106 ] simplifiying candidate # 30.880 * [simplify]: Simplifying (* (cos th) (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2)))) 30.881 * * [simplify]: iters left: 6 (14 enodes) 30.884 * * [simplify]: iters left: 5 (48 enodes) 30.892 * * [simplify]: iters left: 4 (63 enodes) 30.901 * * [simplify]: iters left: 3 (83 enodes) 30.919 * * [simplify]: iters left: 2 (101 enodes) 30.936 * * [simplify]: iters left: 1 (113 enodes) 30.955 * * [simplify]: Extracting #0: cost 1 inf + 0 30.955 * * [simplify]: Extracting #1: cost 16 inf + 0 30.955 * * [simplify]: Extracting #2: cost 33 inf + 0 30.956 * * [simplify]: Extracting #3: cost 36 inf + 62 30.956 * * [simplify]: Extracting #4: cost 33 inf + 651 30.956 * * [simplify]: Extracting #5: cost 25 inf + 1221 30.958 * * [simplify]: Extracting #6: cost 13 inf + 4553 30.959 * * [simplify]: Extracting #7: cost 1 inf + 8691 30.961 * * [simplify]: Extracting #8: cost 0 inf + 9054 30.963 * [simplify]: Simplified to (* (* (/ (cos th) (sqrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1)))) 30.963 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))))) 30.963 * * * * [progress]: [ 63 / 106 ] simplifiying candidate # 30.963 * [simplify]: Simplifying (* (cos th) (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 1))) 30.963 * * [simplify]: iters left: 6 (13 enodes) 30.967 * * [simplify]: iters left: 5 (47 enodes) 30.974 * * [simplify]: iters left: 4 (58 enodes) 30.983 * * [simplify]: iters left: 3 (83 enodes) 31.004 * * [simplify]: iters left: 2 (113 enodes) 31.039 * * [simplify]: iters left: 1 (116 enodes) 31.069 * * [simplify]: Extracting #0: cost 1 inf + 0 31.069 * * [simplify]: Extracting #1: cost 11 inf + 0 31.069 * * [simplify]: Extracting #2: cost 20 inf + 1 31.069 * * [simplify]: Extracting #3: cost 22 inf + 2 31.069 * * [simplify]: Extracting #4: cost 25 inf + 63 31.069 * * [simplify]: Extracting #5: cost 18 inf + 412 31.071 * * [simplify]: Extracting #6: cost 3 inf + 3911 31.073 * * [simplify]: Extracting #7: cost 0 inf + 4658 31.075 * [simplify]: Simplified to (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cos th)) 31.075 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cos th)) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)))) 31.075 * * * * [progress]: [ 64 / 106 ] simplifiying candidate # 31.075 * [simplify]: Simplifying (* (cos th) (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2)))) 31.075 * * [simplify]: iters left: 6 (14 enodes) 31.083 * * [simplify]: iters left: 5 (48 enodes) 31.097 * * [simplify]: iters left: 4 (63 enodes) 31.116 * * [simplify]: iters left: 3 (83 enodes) 31.132 * * [simplify]: iters left: 2 (101 enodes) 31.147 * * [simplify]: iters left: 1 (113 enodes) 31.172 * * [simplify]: Extracting #0: cost 1 inf + 0 31.173 * * [simplify]: Extracting #1: cost 16 inf + 0 31.173 * * [simplify]: Extracting #2: cost 33 inf + 0 31.173 * * [simplify]: Extracting #3: cost 36 inf + 62 31.173 * * [simplify]: Extracting #4: cost 33 inf + 651 31.174 * * [simplify]: Extracting #5: cost 25 inf + 1221 31.175 * * [simplify]: Extracting #6: cost 13 inf + 4553 31.178 * * [simplify]: Extracting #7: cost 1 inf + 8691 31.181 * * [simplify]: Extracting #8: cost 0 inf + 9054 31.185 * [simplify]: Simplified to (* (* (/ (cos th) (sqrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1)))) 31.185 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt (sqrt 2))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))))) 31.185 * * * * [progress]: [ 65 / 106 ] simplifiying candidate # 31.185 * [simplify]: Simplifying (* (cos th) (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1)) 31.185 * * [simplify]: iters left: 6 (12 enodes) 31.189 * * [simplify]: iters left: 5 (42 enodes) 31.196 * * [simplify]: iters left: 4 (60 enodes) 31.205 * * [simplify]: iters left: 3 (78 enodes) 31.218 * * [simplify]: iters left: 2 (90 enodes) 31.242 * * [simplify]: iters left: 1 (104 enodes) 31.272 * * [simplify]: Extracting #0: cost 1 inf + 0 31.272 * * [simplify]: Extracting #1: cost 11 inf + 0 31.272 * * [simplify]: Extracting #2: cost 20 inf + 1 31.272 * * [simplify]: Extracting #3: cost 22 inf + 2 31.272 * * [simplify]: Extracting #4: cost 25 inf + 63 31.273 * * [simplify]: Extracting #5: cost 17 inf + 453 31.273 * * [simplify]: Extracting #6: cost 8 inf + 2316 31.275 * * [simplify]: Extracting #7: cost 1 inf + 4315 31.279 * * [simplify]: Extracting #8: cost 0 inf + 4658 31.281 * [simplify]: Simplified to (* (* (cos th) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1)))) 31.281 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cos th) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)))) 31.281 * * * * [progress]: [ 66 / 106 ] simplifiying candidate # 31.281 * [simplify]: Simplifying (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 31.281 * * [simplify]: iters left: 6 (14 enodes) 31.289 * * [simplify]: iters left: 5 (48 enodes) 31.297 * * [simplify]: iters left: 4 (64 enodes) 31.307 * * [simplify]: iters left: 3 (80 enodes) 31.319 * * [simplify]: iters left: 2 (94 enodes) 31.345 * * [simplify]: iters left: 1 (104 enodes) 31.373 * * [simplify]: Extracting #0: cost 1 inf + 0 31.373 * * [simplify]: Extracting #1: cost 16 inf + 0 31.373 * * [simplify]: Extracting #2: cost 33 inf + 0 31.373 * * [simplify]: Extracting #3: cost 36 inf + 62 31.374 * * [simplify]: Extracting #4: cost 38 inf + 124 31.374 * * [simplify]: Extracting #5: cost 31 inf + 331 31.376 * * [simplify]: Extracting #6: cost 11 inf + 5317 31.378 * * [simplify]: Extracting #7: cost 0 inf + 8486 31.381 * [simplify]: Simplified to (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 31.381 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 31.381 * * * * [progress]: [ 67 / 106 ] simplifiying candidate # 31.382 * [simplify]: Simplifying (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (* (cbrt 2) (cbrt 2))))) 31.382 * * [simplify]: iters left: 6 (14 enodes) 31.389 * * [simplify]: iters left: 5 (47 enodes) 31.405 * * [simplify]: iters left: 4 (53 enodes) 31.420 * * [simplify]: iters left: 3 (57 enodes) 31.429 * * [simplify]: iters left: 2 (61 enodes) 31.438 * * [simplify]: iters left: 1 (64 enodes) 31.447 * * [simplify]: Extracting #0: cost 1 inf + 0 31.447 * * [simplify]: Extracting #1: cost 10 inf + 0 31.447 * * [simplify]: Extracting #2: cost 22 inf + 0 31.447 * * [simplify]: Extracting #3: cost 27 inf + 1 31.447 * * [simplify]: Extracting #4: cost 28 inf + 144 31.447 * * [simplify]: Extracting #5: cost 18 inf + 854 31.447 * * [simplify]: Extracting #6: cost 4 inf + 3665 31.448 * * [simplify]: Extracting #7: cost 0 inf + 5058 31.449 * [simplify]: Simplified to (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2)))) 31.449 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2))))) 31.449 * * * * [progress]: [ 68 / 106 ] simplifiying candidate # 31.449 * [simplify]: Simplifying (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))) 31.449 * * [simplify]: iters left: 6 (13 enodes) 31.453 * * [simplify]: iters left: 5 (43 enodes) 31.464 * * [simplify]: iters left: 4 (49 enodes) 31.478 * * [simplify]: iters left: 3 (53 enodes) 31.493 * * [simplify]: iters left: 2 (57 enodes) 31.510 * * [simplify]: iters left: 1 (60 enodes) 31.530 * * [simplify]: Extracting #0: cost 1 inf + 0 31.530 * * [simplify]: Extracting #1: cost 10 inf + 0 31.530 * * [simplify]: Extracting #2: cost 21 inf + 0 31.530 * * [simplify]: Extracting #3: cost 25 inf + 1 31.530 * * [simplify]: Extracting #4: cost 26 inf + 104 31.530 * * [simplify]: Extracting #5: cost 18 inf + 412 31.531 * * [simplify]: Extracting #6: cost 4 inf + 3305 31.533 * * [simplify]: Extracting #7: cost 0 inf + 4256 31.534 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) (cos th)) 31.534 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) (cos th)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))))) 31.534 * * * * [progress]: [ 69 / 106 ] simplifiying candidate # 31.535 * [simplify]: Simplifying (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 1))) 31.535 * * [simplify]: iters left: 6 (12 enodes) 31.542 * * [simplify]: iters left: 5 (42 enodes) 31.555 * * [simplify]: iters left: 4 (44 enodes) 31.565 * * [simplify]: iters left: 3 (51 enodes) 31.571 * * [simplify]: iters left: 2 (58 enodes) 31.579 * * [simplify]: iters left: 1 (64 enodes) 31.587 * * [simplify]: Extracting #0: cost 1 inf + 0 31.587 * * [simplify]: Extracting #1: cost 7 inf + 0 31.587 * * [simplify]: Extracting #2: cost 12 inf + 1 31.587 * * [simplify]: Extracting #3: cost 14 inf + 2 31.587 * * [simplify]: Extracting #4: cost 17 inf + 63 31.587 * * [simplify]: Extracting #5: cost 9 inf + 453 31.588 * * [simplify]: Extracting #6: cost 2 inf + 1569 31.588 * * [simplify]: Extracting #7: cost 0 inf + 1994 31.588 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)) 31.588 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)))) 31.589 * * * * [progress]: [ 70 / 106 ] simplifiying candidate # 31.589 * [simplify]: Simplifying (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))) 31.589 * * [simplify]: iters left: 6 (13 enodes) 31.594 * * [simplify]: iters left: 5 (43 enodes) 31.607 * * [simplify]: iters left: 4 (49 enodes) 31.620 * * [simplify]: iters left: 3 (53 enodes) 31.635 * * [simplify]: iters left: 2 (57 enodes) 31.649 * * [simplify]: iters left: 1 (60 enodes) 31.659 * * [simplify]: Extracting #0: cost 1 inf + 0 31.659 * * [simplify]: Extracting #1: cost 10 inf + 0 31.659 * * [simplify]: Extracting #2: cost 21 inf + 0 31.660 * * [simplify]: Extracting #3: cost 25 inf + 1 31.660 * * [simplify]: Extracting #4: cost 26 inf + 104 31.660 * * [simplify]: Extracting #5: cost 18 inf + 412 31.660 * * [simplify]: Extracting #6: cost 4 inf + 3305 31.661 * * [simplify]: Extracting #7: cost 0 inf + 4256 31.662 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) (cos th)) 31.662 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) (cos th)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))))) 31.662 * * * * [progress]: [ 71 / 106 ] simplifiying candidate # 31.662 * [simplify]: Simplifying (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) 1)) 31.662 * * [simplify]: iters left: 6 (11 enodes) 31.665 * * [simplify]: iters left: 5 (37 enodes) 31.671 * * [simplify]: iters left: 4 (41 enodes) 31.677 * * [simplify]: iters left: 3 (51 enodes) 31.685 * * [simplify]: iters left: 2 (53 enodes) 31.698 * * [simplify]: iters left: 1 (58 enodes) 31.713 * * [simplify]: Extracting #0: cost 1 inf + 0 31.713 * * [simplify]: Extracting #1: cost 7 inf + 0 31.713 * * [simplify]: Extracting #2: cost 12 inf + 1 31.713 * * [simplify]: Extracting #3: cost 14 inf + 2 31.713 * * [simplify]: Extracting #4: cost 16 inf + 124 31.714 * * [simplify]: Extracting #5: cost 9 inf + 453 31.714 * * [simplify]: Extracting #6: cost 5 inf + 900 31.715 * * [simplify]: Extracting #7: cost 1 inf + 1791 31.715 * * [simplify]: Extracting #8: cost 0 inf + 1994 31.716 * [simplify]: Simplified to (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1)))) 31.716 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)))) 31.717 * * * * [progress]: [ 72 / 106 ] simplifiying candidate # 31.717 * [simplify]: Simplifying (* (cos th) (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 31.717 * * [simplify]: iters left: 6 (9 enodes) 31.722 * * [simplify]: iters left: 5 (34 enodes) 31.728 * * [simplify]: iters left: 4 (48 enodes) 31.737 * * [simplify]: iters left: 3 (73 enodes) 31.751 * * [simplify]: iters left: 2 (86 enodes) 31.765 * * [simplify]: iters left: 1 (91 enodes) 31.776 * * [simplify]: Extracting #0: cost 1 inf + 0 31.777 * * [simplify]: Extracting #1: cost 11 inf + 0 31.777 * * [simplify]: Extracting #2: cost 20 inf + 1 31.777 * * [simplify]: Extracting #3: cost 21 inf + 2 31.777 * * [simplify]: Extracting #4: cost 18 inf + 125 31.777 * * [simplify]: Extracting #5: cost 14 inf + 490 31.777 * * [simplify]: Extracting #6: cost 3 inf + 2709 31.778 * * [simplify]: Extracting #7: cost 0 inf + 3435 31.779 * [simplify]: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 31.779 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))))) 31.779 * * * * [progress]: [ 73 / 106 ] simplifiying candidate # 31.779 * [simplify]: Simplifying (* (cos th) (/ 1 (sqrt (* (cbrt 2) (cbrt 2))))) 31.779 * * [simplify]: iters left: 6 (9 enodes) 31.782 * * [simplify]: iters left: 5 (33 enodes) 31.788 * * [simplify]: iters left: 4 (39 enodes) 31.801 * * [simplify]: iters left: 3 (48 enodes) 31.815 * * [simplify]: iters left: 2 (50 enodes) 31.829 * * [simplify]: iters left: 1 (53 enodes) 31.842 * * [simplify]: Extracting #0: cost 1 inf + 0 31.842 * * [simplify]: Extracting #1: cost 7 inf + 0 31.842 * * [simplify]: Extracting #2: cost 13 inf + 1 31.842 * * [simplify]: Extracting #3: cost 15 inf + 2 31.842 * * [simplify]: Extracting #4: cost 13 inf + 64 31.843 * * [simplify]: Extracting #5: cost 1 inf + 1761 31.843 * * [simplify]: Extracting #6: cost 0 inf + 1983 31.844 * [simplify]: Simplified to (/ (cos th) (fabs (cbrt 2))) 31.844 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (fabs (cbrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt 2))))) 31.844 * * * * [progress]: [ 74 / 106 ] simplifiying candidate # 31.844 * [simplify]: Simplifying (* (cos th) (/ 1 (sqrt (sqrt 2)))) 31.844 * * [simplify]: iters left: 6 (8 enodes) 31.849 * * [simplify]: iters left: 5 (29 enodes) 31.859 * * [simplify]: iters left: 4 (35 enodes) 31.872 * * [simplify]: iters left: 3 (44 enodes) 31.885 * * [simplify]: iters left: 2 (46 enodes) 31.896 * * [simplify]: iters left: 1 (49 enodes) 31.902 * * [simplify]: Extracting #0: cost 1 inf + 0 31.902 * * [simplify]: Extracting #1: cost 7 inf + 0 31.902 * * [simplify]: Extracting #2: cost 12 inf + 1 31.902 * * [simplify]: Extracting #3: cost 13 inf + 2 31.902 * * [simplify]: Extracting #4: cost 11 inf + 64 31.902 * * [simplify]: Extracting #5: cost 3 inf + 1016 31.903 * * [simplify]: Extracting #6: cost 0 inf + 1341 31.903 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 31.903 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (sqrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))))) 31.903 * * * * [progress]: [ 75 / 106 ] simplifiying candidate # 31.903 * [simplify]: Simplifying (* (cos th) (/ 1 (sqrt 1))) 31.903 * * [simplify]: iters left: 5 (6 enodes) 31.905 * * [simplify]: iters left: 4 (23 enodes) 31.909 * * [simplify]: iters left: 3 (25 enodes) 31.913 * * [simplify]: iters left: 2 (31 enodes) 31.916 * * [simplify]: iters left: 1 (36 enodes) 31.920 * * [simplify]: Extracting #0: cost 1 inf + 0 31.921 * * [simplify]: Extracting #1: cost 5 inf + 0 31.921 * * [simplify]: Extracting #2: cost 4 inf + 2 31.921 * * [simplify]: Extracting #3: cost 3 inf + 63 31.921 * * [simplify]: Extracting #4: cost 0 inf + 328 31.921 * [simplify]: Simplified to (cos th) 31.921 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 31.921 * * * * [progress]: [ 76 / 106 ] simplifiying candidate # 31.921 * [simplify]: Simplifying (* (cos th) (/ 1 (sqrt (sqrt 2)))) 31.921 * * [simplify]: iters left: 6 (8 enodes) 31.924 * * [simplify]: iters left: 5 (29 enodes) 31.930 * * [simplify]: iters left: 4 (35 enodes) 31.942 * * [simplify]: iters left: 3 (44 enodes) 31.954 * * [simplify]: iters left: 2 (46 enodes) 31.965 * * [simplify]: iters left: 1 (49 enodes) 31.971 * * [simplify]: Extracting #0: cost 1 inf + 0 31.971 * * [simplify]: Extracting #1: cost 7 inf + 0 31.971 * * [simplify]: Extracting #2: cost 12 inf + 1 31.971 * * [simplify]: Extracting #3: cost 13 inf + 2 31.971 * * [simplify]: Extracting #4: cost 11 inf + 64 31.971 * * [simplify]: Extracting #5: cost 3 inf + 1016 31.972 * * [simplify]: Extracting #6: cost 0 inf + 1341 31.972 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 31.972 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (sqrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))))) 31.972 * * * * [progress]: [ 77 / 106 ] simplifiying candidate # 31.972 * [simplify]: Simplifying (* (cos th) (/ 1 1)) 31.972 * * [simplify]: iters left: 4 (5 enodes) 31.975 * * [simplify]: iters left: 3 (16 enodes) 31.978 * * [simplify]: iters left: 2 (18 enodes) 31.981 * * [simplify]: iters left: 1 (21 enodes) 31.983 * * [simplify]: Extracting #0: cost 1 inf + 0 31.983 * * [simplify]: Extracting #1: cost 4 inf + 0 31.983 * * [simplify]: Extracting #2: cost 2 inf + 2 31.983 * * [simplify]: Extracting #3: cost 1 inf + 63 31.983 * * [simplify]: Extracting #4: cost 0 inf + 124 31.983 * [simplify]: Simplified to (cos th) 31.984 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 31.984 * * * * [progress]: [ 78 / 106 ] simplifiying candidate # 31.984 * [simplify]: Simplifying (* (cos th) 1) 31.984 * * [simplify]: iters left: 3 (4 enodes) 31.985 * * [simplify]: iters left: 2 (13 enodes) 31.988 * * [simplify]: iters left: 1 (17 enodes) 31.990 * * [simplify]: Extracting #0: cost 1 inf + 0 31.990 * * [simplify]: Extracting #1: cost 4 inf + 0 31.990 * * [simplify]: Extracting #2: cost 2 inf + 2 31.990 * * [simplify]: Extracting #3: cost 1 inf + 63 31.990 * * [simplify]: Extracting #4: cost 0 inf + 124 31.991 * [simplify]: Simplified to (cos th) 31.991 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 31.991 * * * * [progress]: [ 79 / 106 ] simplifiying candidate # 31.991 * [simplify]: Simplifying (* (cos th) (+ (* a2 a2) (* a1 a1))) 31.991 * * [simplify]: iters left: 6 (8 enodes) 31.995 * * [simplify]: iters left: 5 (32 enodes) 32.005 * * [simplify]: iters left: 4 (50 enodes) 32.012 * * [simplify]: iters left: 3 (58 enodes) 32.018 * * [simplify]: Extracting #0: cost 1 inf + 0 32.018 * * [simplify]: Extracting #1: cost 6 inf + 0 32.018 * * [simplify]: Extracting #2: cost 17 inf + 0 32.018 * * [simplify]: Extracting #3: cost 16 inf + 85 32.018 * * [simplify]: Extracting #4: cost 8 inf + 1060 32.019 * * [simplify]: Extracting #5: cost 0 inf + 1955 32.019 * [simplify]: Simplified to (* (+ (* a2 a2) (* a1 a1)) (cos th)) 32.019 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (+ (* a2 a2) (* a1 a1)) (cos th)) (/ 1 (sqrt 2)))) 32.019 * * * * [progress]: [ 80 / 106 ] simplifiying candidate # 32.019 * [simplify]: Simplifying (* (cbrt (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 32.019 * * [simplify]: iters left: 6 (12 enodes) 32.022 * * [simplify]: iters left: 5 (40 enodes) 32.029 * * [simplify]: iters left: 4 (54 enodes) 32.039 * * [simplify]: iters left: 3 (74 enodes) 32.053 * * [simplify]: iters left: 2 (94 enodes) 32.067 * * [simplify]: iters left: 1 (111 enodes) 32.089 * * [simplify]: Extracting #0: cost 1 inf + 0 32.089 * * [simplify]: Extracting #1: cost 12 inf + 0 32.089 * * [simplify]: Extracting #2: cost 40 inf + 0 32.090 * * [simplify]: Extracting #3: cost 44 inf + 207 32.090 * * [simplify]: Extracting #4: cost 33 inf + 1044 32.092 * * [simplify]: Extracting #5: cost 10 inf + 6239 32.094 * * [simplify]: Extracting #6: cost 0 inf + 8786 32.097 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 32.097 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 32.097 * * * * [progress]: [ 81 / 106 ] simplifiying candidate # 32.097 * [simplify]: Simplifying (* (sqrt (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 32.098 * * [simplify]: iters left: 6 (12 enodes) 32.104 * * [simplify]: iters left: 5 (40 enodes) 32.117 * * [simplify]: iters left: 4 (54 enodes) 32.133 * * [simplify]: iters left: 3 (74 enodes) 32.143 * * [simplify]: iters left: 2 (94 enodes) 32.157 * * [simplify]: iters left: 1 (111 enodes) 32.174 * * [simplify]: Extracting #0: cost 1 inf + 0 32.174 * * [simplify]: Extracting #1: cost 12 inf + 0 32.174 * * [simplify]: Extracting #2: cost 40 inf + 0 32.174 * * [simplify]: Extracting #3: cost 44 inf + 207 32.175 * * [simplify]: Extracting #4: cost 33 inf + 1044 32.175 * * [simplify]: Extracting #5: cost 10 inf + 5519 32.177 * * [simplify]: Extracting #6: cost 0 inf + 7666 32.178 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 32.178 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (sqrt (cos th)) (/ (sqrt (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))) 32.178 * * * * [progress]: [ 82 / 106 ] simplifiying candidate # 32.179 * [simplify]: Simplifying (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) 32.179 * * [simplify]: iters left: 6 (11 enodes) 32.182 * * [simplify]: iters left: 5 (37 enodes) 32.188 * * [simplify]: iters left: 4 (51 enodes) 32.196 * * [simplify]: iters left: 3 (71 enodes) 32.206 * * [simplify]: iters left: 2 (91 enodes) 32.219 * * [simplify]: iters left: 1 (108 enodes) 32.234 * * [simplify]: Extracting #0: cost 1 inf + 0 32.234 * * [simplify]: Extracting #1: cost 12 inf + 0 32.234 * * [simplify]: Extracting #2: cost 40 inf + 0 32.234 * * [simplify]: Extracting #3: cost 37 inf + 453 32.235 * * [simplify]: Extracting #4: cost 10 inf + 4254 32.236 * * [simplify]: Extracting #5: cost 1 inf + 6201 32.237 * * [simplify]: Extracting #6: cost 0 inf + 6424 32.238 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) 32.239 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* 1 (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))))) 32.239 * * * * [progress]: [ 83 / 106 ] simplifiying candidate # 32.239 * [simplify]: Simplifying (* (cos th) (+ (* a2 a2) (* a1 a1))) 32.239 * * [simplify]: iters left: 6 (8 enodes) 32.241 * * [simplify]: iters left: 5 (32 enodes) 32.246 * * [simplify]: iters left: 4 (50 enodes) 32.253 * * [simplify]: iters left: 3 (58 enodes) 32.262 * * [simplify]: Extracting #0: cost 1 inf + 0 32.262 * * [simplify]: Extracting #1: cost 6 inf + 0 32.262 * * [simplify]: Extracting #2: cost 17 inf + 0 32.262 * * [simplify]: Extracting #3: cost 16 inf + 85 32.262 * * [simplify]: Extracting #4: cost 8 inf + 1060 32.263 * * [simplify]: Extracting #5: cost 0 inf + 1955 32.264 * [simplify]: Simplified to (* (+ (* a2 a2) (* a1 a1)) (cos th)) 32.264 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2))) 32.264 * * * * [progress]: [ 84 / 106 ] simplifiying candidate #real (real->posit16 (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))))> 32.264 * [simplify]: Simplifying (real->posit16 (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 32.264 * * [simplify]: iters left: 6 (12 enodes) 32.271 * * [simplify]: iters left: 5 (37 enodes) 32.280 * * [simplify]: iters left: 4 (51 enodes) 32.289 * * [simplify]: iters left: 3 (71 enodes) 32.299 * * [simplify]: iters left: 2 (91 enodes) 32.316 * * [simplify]: iters left: 1 (108 enodes) 32.345 * * [simplify]: Extracting #0: cost 1 inf + 0 32.345 * * [simplify]: Extracting #1: cost 2 inf + 0 32.345 * * [simplify]: Extracting #2: cost 12 inf + 0 32.345 * * [simplify]: Extracting #3: cost 40 inf + 0 32.345 * * [simplify]: Extracting #4: cost 37 inf + 433 32.347 * * [simplify]: Extracting #5: cost 10 inf + 4254 32.349 * * [simplify]: Extracting #6: cost 1 inf + 6201 32.351 * * [simplify]: Extracting #7: cost 0 inf + 6424 32.354 * [simplify]: Simplified to (real->posit16 (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))) 32.354 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (posit16->real (real->posit16 (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))))) 32.354 * * * * [progress]: [ 85 / 106 ] simplifiying candidate # 32.354 * * * * [progress]: [ 86 / 106 ] simplifiying candidate # 32.355 * [simplify]: Simplifying (* (exp (* a2 a2)) (exp (* a1 a1))) 32.355 * * [simplify]: iters left: 5 (7 enodes) 32.358 * * [simplify]: iters left: 4 (28 enodes) 32.369 * * [simplify]: iters left: 3 (43 enodes) 32.382 * * [simplify]: iters left: 2 (75 enodes) 32.410 * * [simplify]: iters left: 1 (169 enodes) 32.520 * * [simplify]: Extracting #0: cost 1 inf + 0 32.520 * * [simplify]: Extracting #1: cost 28 inf + 0 32.521 * * [simplify]: Extracting #2: cost 119 inf + 0 32.522 * * [simplify]: Extracting #3: cost 136 inf + 1135 32.523 * * [simplify]: Extracting #4: cost 131 inf + 1568 32.526 * * [simplify]: Extracting #5: cost 99 inf + 8302 32.536 * * [simplify]: Extracting #6: cost 11 inf + 60490 32.550 * * [simplify]: Extracting #7: cost 0 inf + 69564 32.565 * [simplify]: Simplified to (exp (+ (* a2 a2) (* a1 a1))) 32.565 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (* (cos th) (/ (log (exp (+ (* a2 a2) (* a1 a1)))) (sqrt 2)))) 32.565 * * * * [progress]: [ 87 / 106 ] simplifiying candidate # 32.565 * * * * [progress]: [ 88 / 106 ] simplifiying candidate # 32.566 * [simplify]: Simplifying (log (+ (* a2 a2) (* a1 a1))) 32.566 * * [simplify]: iters left: 5 (6 enodes) 32.569 * * [simplify]: iters left: 4 (19 enodes) 32.574 * * [simplify]: Extracting #0: cost 1 inf + 0 32.574 * * [simplify]: Extracting #1: cost 3 inf + 0 32.574 * * [simplify]: Extracting #2: cost 6 inf + 0 32.574 * * [simplify]: Extracting #3: cost 10 inf + 0 32.574 * * [simplify]: Extracting #4: cost 6 inf + 84 32.574 * * [simplify]: Extracting #5: cost 0 inf + 794 32.575 * [simplify]: Simplified to (log (+ (* a2 a2) (* a1 a1))) 32.575 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (* (cos th) (/ (exp (log (+ (* a2 a2) (* a1 a1)))) (sqrt 2)))) 32.575 * * * * [progress]: [ 89 / 106 ] simplifiying candidate # 32.575 * [simplify]: Simplifying (exp (+ (* a2 a2) (* a1 a1))) 32.575 * * [simplify]: iters left: 5 (6 enodes) 32.578 * * [simplify]: iters left: 4 (22 enodes) 32.585 * * [simplify]: iters left: 3 (31 enodes) 32.593 * * [simplify]: iters left: 2 (42 enodes) 32.607 * * [simplify]: iters left: 1 (74 enodes) 32.638 * * [simplify]: Extracting #0: cost 1 inf + 0 32.638 * * [simplify]: Extracting #1: cost 14 inf + 0 32.638 * * [simplify]: Extracting #2: cost 56 inf + 0 32.638 * * [simplify]: Extracting #3: cost 68 inf + 266 32.639 * * [simplify]: Extracting #4: cost 52 inf + 1510 32.641 * * [simplify]: Extracting #5: cost 24 inf + 9668 32.645 * * [simplify]: Extracting #6: cost 2 inf + 19059 32.648 * * [simplify]: Extracting #7: cost 0 inf + 20186 32.652 * [simplify]: Simplified to (exp (+ (* a2 a2) (* a1 a1))) 32.652 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (* (cos th) (/ (log (exp (+ (* a2 a2) (* a1 a1)))) (sqrt 2)))) 32.652 * * * * [progress]: [ 90 / 106 ] simplifiying candidate # 32.653 * [simplify]: Simplifying (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 32.653 * * [simplify]: iters left: 6 (7 enodes) 32.656 * * [simplify]: iters left: 5 (22 enodes) 32.662 * * [simplify]: Extracting #0: cost 1 inf + 0 32.662 * * [simplify]: Extracting #1: cost 3 inf + 0 32.662 * * [simplify]: Extracting #2: cost 5 inf + 0 32.662 * * [simplify]: Extracting #3: cost 8 inf + 0 32.663 * * [simplify]: Extracting #4: cost 12 inf + 0 32.663 * * [simplify]: Extracting #5: cost 10 inf + 2 32.663 * * [simplify]: Extracting #6: cost 1 inf + 1056 32.663 * * [simplify]: Extracting #7: cost 0 inf + 1298 32.664 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 32.664 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (* (cos th) (/ (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2)))) 32.664 * [simplify]: Simplifying (cbrt (+ (* a2 a2) (* a1 a1))) 32.664 * * [simplify]: iters left: 5 (6 enodes) 32.667 * * [simplify]: iters left: 4 (19 enodes) 32.672 * * [simplify]: Extracting #0: cost 1 inf + 0 32.672 * * [simplify]: Extracting #1: cost 3 inf + 0 32.672 * * [simplify]: Extracting #2: cost 6 inf + 0 32.672 * * [simplify]: Extracting #3: cost 10 inf + 0 32.672 * * [simplify]: Extracting #4: cost 6 inf + 84 32.672 * * [simplify]: Extracting #5: cost 0 inf + 814 32.673 * [simplify]: Simplified to (cbrt (+ (* a2 a2) (* a1 a1))) 32.673 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (* (cos th) (/ (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2)))) 32.673 * * * * [progress]: [ 91 / 106 ] simplifiying candidate # 32.673 * [simplify]: Simplifying (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) 32.673 * * [simplify]: iters left: 6 (7 enodes) 32.677 * * [simplify]: iters left: 5 (35 enodes) 32.694 * * [simplify]: iters left: 4 (125 enodes) 32.770 * * [simplify]: iters left: 3 (428 enodes) 33.181 * * [simplify]: Extracting #0: cost 1 inf + 0 33.181 * * [simplify]: Extracting #1: cost 25 inf + 0 33.181 * * [simplify]: Extracting #2: cost 163 inf + 1 33.183 * * [simplify]: Extracting #3: cost 202 inf + 2584 33.191 * * [simplify]: Extracting #4: cost 46 inf + 32681 33.204 * * [simplify]: Extracting #5: cost 0 inf + 44488 33.221 * [simplify]: Simplified to (* (+ (* a2 a2) (* a1 a1)) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1)))) 33.221 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (* (cos th) (/ (cbrt (* (+ (* a2 a2) (* a1 a1)) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))))) (sqrt 2)))) 33.221 * * * * [progress]: [ 92 / 106 ] simplifiying candidate # 33.222 * [simplify]: Simplifying (sqrt (+ (* a2 a2) (* a1 a1))) 33.222 * * [simplify]: iters left: 5 (6 enodes) 33.223 * * [simplify]: iters left: 4 (19 enodes) 33.226 * * [simplify]: Extracting #0: cost 1 inf + 0 33.226 * * [simplify]: Extracting #1: cost 3 inf + 0 33.226 * * [simplify]: Extracting #2: cost 6 inf + 0 33.227 * * [simplify]: Extracting #3: cost 10 inf + 0 33.227 * * [simplify]: Extracting #4: cost 6 inf + 84 33.227 * * [simplify]: Extracting #5: cost 0 inf + 734 33.227 * [simplify]: Simplified to (sqrt (+ (* a2 a2) (* a1 a1))) 33.227 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (* (cos th) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2)))) 33.228 * [simplify]: Simplifying (sqrt (+ (* a2 a2) (* a1 a1))) 33.228 * * [simplify]: iters left: 5 (6 enodes) 33.230 * * [simplify]: iters left: 4 (19 enodes) 33.236 * * [simplify]: Extracting #0: cost 1 inf + 0 33.236 * * [simplify]: Extracting #1: cost 3 inf + 0 33.236 * * [simplify]: Extracting #2: cost 6 inf + 0 33.236 * * [simplify]: Extracting #3: cost 10 inf + 0 33.236 * * [simplify]: Extracting #4: cost 6 inf + 84 33.236 * * [simplify]: Extracting #5: cost 0 inf + 734 33.236 * [simplify]: Simplified to (sqrt (+ (* a2 a2) (* a1 a1))) 33.237 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (* (cos th) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2)))) 33.237 * * * * [progress]: [ 93 / 106 ] simplifiying candidate # 33.237 * [simplify]: Simplifying (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3)) 33.237 * * [simplify]: iters left: 5 (8 enodes) 33.240 * * [simplify]: iters left: 4 (42 enodes) 33.252 * * [simplify]: iters left: 3 (97 enodes) 33.278 * * [simplify]: iters left: 2 (196 enodes) 33.354 * * [simplify]: iters left: 1 (394 enodes) 33.534 * * [simplify]: Extracting #0: cost 1 inf + 0 33.534 * * [simplify]: Extracting #1: cost 4 inf + 0 33.535 * * [simplify]: Extracting #2: cost 74 inf + 0 33.535 * * [simplify]: Extracting #3: cost 172 inf + 591 33.537 * * [simplify]: Extracting #4: cost 117 inf + 17593 33.541 * * [simplify]: Extracting #5: cost 40 inf + 48927 33.546 * * [simplify]: Extracting #6: cost 9 inf + 62956 33.555 * * [simplify]: Extracting #7: cost 0 inf + 67483 33.560 * [simplify]: Simplified to (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* a1 (* a1 a1)) (* a1 (* a1 a1)))) 33.561 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (* (cos th) (/ (/ (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* a1 (* a1 a1)) (* a1 (* a1 a1)))) (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1))))) (sqrt 2)))) 33.561 * [simplify]: Simplifying (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1)))) 33.561 * * [simplify]: iters left: 6 (9 enodes) 33.564 * * [simplify]: iters left: 5 (49 enodes) 33.581 * * [simplify]: iters left: 4 (116 enodes) 33.620 * * [simplify]: iters left: 3 (231 enodes) 33.675 * * [simplify]: iters left: 2 (363 enodes) 33.794 * * [simplify]: Extracting #0: cost 1 inf + 0 33.794 * * [simplify]: Extracting #1: cost 20 inf + 0 33.795 * * [simplify]: Extracting #2: cost 146 inf + 0 33.797 * * [simplify]: Extracting #3: cost 200 inf + 1989 33.810 * * [simplify]: Extracting #4: cost 63 inf + 22827 33.823 * * [simplify]: Extracting #5: cost 0 inf + 34174 33.830 * * [simplify]: Extracting #6: cost 0 inf + 34134 33.837 * [simplify]: Simplified to (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))) 33.837 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (* (cos th) (/ (/ (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* a1 (* a1 a1)) (* a1 (* a1 a1)))) (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1)))) (sqrt 2)))) 33.837 * * * * [progress]: [ 94 / 106 ] simplifiying candidate # 33.837 * * * * [progress]: [ 95 / 106 ] simplifiying candidate # 33.837 * [simplify]: Simplifying (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) 33.837 * * [simplify]: iters left: 6 (7 enodes) 33.839 * * [simplify]: iters left: 5 (34 enodes) 33.845 * * [simplify]: iters left: 4 (64 enodes) 33.859 * * [simplify]: iters left: 3 (120 enodes) 33.909 * * [simplify]: iters left: 2 (275 enodes) 34.032 * * [simplify]: Extracting #0: cost 1 inf + 0 34.032 * * [simplify]: Extracting #1: cost 48 inf + 0 34.033 * * [simplify]: Extracting #2: cost 148 inf + 0 34.035 * * [simplify]: Extracting #3: cost 190 inf + 1184 34.042 * * [simplify]: Extracting #4: cost 82 inf + 17861 34.056 * * [simplify]: Extracting #5: cost 5 inf + 34095 34.065 * * [simplify]: Extracting #6: cost 0 inf + 35697 34.072 * [simplify]: Simplified to (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) 34.072 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (* (cos th) (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (sqrt 2)))) 34.073 * [simplify]: Simplifying (- (* a2 a2) (* a1 a1)) 34.073 * * [simplify]: iters left: 4 (5 enodes) 34.074 * * [simplify]: iters left: 3 (20 enodes) 34.077 * * [simplify]: iters left: 2 (33 enodes) 34.082 * * [simplify]: iters left: 1 (50 enodes) 34.095 * * [simplify]: Extracting #0: cost 1 inf + 0 34.095 * * [simplify]: Extracting #1: cost 11 inf + 0 34.096 * * [simplify]: Extracting #2: cost 29 inf + 0 34.096 * * [simplify]: Extracting #3: cost 19 inf + 455 34.097 * * [simplify]: Extracting #4: cost 0 inf + 2130 34.098 * * [simplify]: Extracting #5: cost 0 inf + 1970 34.099 * [simplify]: Simplified to (* (+ a2 a1) (- a2 a1)) 34.099 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (* (cos th) (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (* (+ a2 a1) (- a2 a1))) (sqrt 2)))) 34.100 * * * * [progress]: [ 96 / 106 ] simplifiying candidate #real (real->posit16 (+ (* a2 a2) (* a1 a1)))) (sqrt 2))))> 34.100 * [simplify]: Simplifying (real->posit16 (+ (* a2 a2) (* a1 a1))) 34.100 * * [simplify]: iters left: 5 (6 enodes) 34.103 * * [simplify]: iters left: 4 (16 enodes) 34.107 * * [simplify]: Extracting #0: cost 1 inf + 0 34.107 * * [simplify]: Extracting #1: cost 2 inf + 0 34.107 * * [simplify]: Extracting #2: cost 4 inf + 0 34.107 * * [simplify]: Extracting #3: cost 8 inf + 0 34.107 * * [simplify]: Extracting #4: cost 4 inf + 84 34.107 * * [simplify]: Extracting #5: cost 0 inf + 410 34.108 * [simplify]: Simplified to (real->posit16 (+ (* a2 a2) (* a1 a1))) 34.108 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (* (cos th) (/ (posit16->real (real->posit16 (+ (* a2 a2) (* a1 a1)))) (sqrt 2)))) 34.108 * * * * [progress]: [ 97 / 106 ] simplifiying candidate # 34.108 * * * * [progress]: [ 98 / 106 ] simplifiying candidate # 34.108 * [simplify]: Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))) 34.108 * * [simplify]: iters left: 5 (9 enodes) 34.114 * * [simplify]: iters left: 4 (36 enodes) 34.126 * * [simplify]: iters left: 3 (44 enodes) 34.138 * * [simplify]: iters left: 2 (54 enodes) 34.153 * * [simplify]: iters left: 1 (60 enodes) 34.170 * * [simplify]: Extracting #0: cost 1 inf + 0 34.170 * * [simplify]: Extracting #1: cost 4 inf + 0 34.170 * * [simplify]: Extracting #2: cost 15 inf + 0 34.171 * * [simplify]: Extracting #3: cost 21 inf + 2 34.171 * * [simplify]: Extracting #4: cost 13 inf + 452 34.171 * * [simplify]: Extracting #5: cost 1 inf + 1797 34.172 * * [simplify]: Extracting #6: cost 0 inf + 1879 34.173 * [simplify]: Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) 34.173 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (cos th) (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))))) 34.173 * * * * [progress]: [ 99 / 106 ] simplifiying candidate # 34.174 * [simplify]: Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))) 34.174 * * [simplify]: iters left: 5 (9 enodes) 34.179 * * [simplify]: iters left: 4 (36 enodes) 34.190 * * [simplify]: iters left: 3 (44 enodes) 34.197 * * [simplify]: iters left: 2 (54 enodes) 34.205 * * [simplify]: iters left: 1 (60 enodes) 34.214 * * [simplify]: Extracting #0: cost 1 inf + 0 34.214 * * [simplify]: Extracting #1: cost 4 inf + 0 34.214 * * [simplify]: Extracting #2: cost 15 inf + 0 34.214 * * [simplify]: Extracting #3: cost 21 inf + 2 34.215 * * [simplify]: Extracting #4: cost 13 inf + 452 34.216 * * [simplify]: Extracting #5: cost 1 inf + 1797 34.217 * * [simplify]: Extracting #6: cost 0 inf + 1879 34.217 * [simplify]: Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) 34.217 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (cos th) (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))))) 34.217 * * * * [progress]: [ 100 / 106 ] simplifiying candidate # 34.218 * [simplify]: Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))) 34.218 * * [simplify]: iters left: 5 (9 enodes) 34.221 * * [simplify]: iters left: 4 (36 enodes) 34.226 * * [simplify]: iters left: 3 (44 enodes) 34.233 * * [simplify]: iters left: 2 (54 enodes) 34.241 * * [simplify]: iters left: 1 (60 enodes) 34.250 * * [simplify]: Extracting #0: cost 1 inf + 0 34.250 * * [simplify]: Extracting #1: cost 4 inf + 0 34.250 * * [simplify]: Extracting #2: cost 15 inf + 0 34.250 * * [simplify]: Extracting #3: cost 21 inf + 2 34.250 * * [simplify]: Extracting #4: cost 13 inf + 452 34.250 * * [simplify]: Extracting #5: cost 1 inf + 1797 34.251 * * [simplify]: Extracting #6: cost 0 inf + 1879 34.251 * [simplify]: Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) 34.251 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (cos th) (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))))) 34.251 * * * * [progress]: [ 101 / 106 ] simplifiying candidate # 34.251 * [simplify]: Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))) 34.251 * * [simplify]: iters left: 5 (9 enodes) 34.254 * * [simplify]: iters left: 4 (36 enodes) 34.260 * * [simplify]: iters left: 3 (44 enodes) 34.267 * * [simplify]: iters left: 2 (54 enodes) 34.275 * * [simplify]: iters left: 1 (60 enodes) 34.284 * * [simplify]: Extracting #0: cost 1 inf + 0 34.284 * * [simplify]: Extracting #1: cost 4 inf + 0 34.284 * * [simplify]: Extracting #2: cost 15 inf + 0 34.284 * * [simplify]: Extracting #3: cost 21 inf + 2 34.284 * * [simplify]: Extracting #4: cost 13 inf + 452 34.284 * * [simplify]: Extracting #5: cost 1 inf + 1797 34.285 * * [simplify]: Extracting #6: cost 0 inf + 1879 34.285 * [simplify]: Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) 34.285 * [simplify]: Simplified (2) to (λ (a1 a2 th) (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))) 34.285 * * * * [progress]: [ 102 / 106 ] simplifiying candidate # 34.285 * [simplify]: Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) 34.285 * * [simplify]: iters left: 6 (13 enodes) 34.292 * * [simplify]: iters left: 5 (54 enodes) 34.310 * * [simplify]: iters left: 4 (81 enodes) 34.338 * * [simplify]: iters left: 3 (120 enodes) 34.371 * * [simplify]: iters left: 2 (147 enodes) 34.409 * * [simplify]: iters left: 1 (185 enodes) 34.439 * * [simplify]: Extracting #0: cost 1 inf + 0 34.439 * * [simplify]: Extracting #1: cost 10 inf + 0 34.440 * * [simplify]: Extracting #2: cost 40 inf + 0 34.440 * * [simplify]: Extracting #3: cost 52 inf + 208 34.441 * * [simplify]: Extracting #4: cost 33 inf + 2486 34.444 * * [simplify]: Extracting #5: cost 0 inf + 7465 34.447 * [simplify]: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 34.447 * [simplify]: Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) 34.447 * * * * [progress]: [ 103 / 106 ] simplifiying candidate # 34.448 * [simplify]: Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) 34.448 * * [simplify]: iters left: 6 (13 enodes) 34.453 * * [simplify]: iters left: 5 (54 enodes) 34.461 * * [simplify]: iters left: 4 (81 enodes) 34.473 * * [simplify]: iters left: 3 (120 enodes) 34.489 * * [simplify]: iters left: 2 (147 enodes) 34.518 * * [simplify]: iters left: 1 (185 enodes) 34.562 * * [simplify]: Extracting #0: cost 1 inf + 0 34.562 * * [simplify]: Extracting #1: cost 10 inf + 0 34.562 * * [simplify]: Extracting #2: cost 40 inf + 0 34.562 * * [simplify]: Extracting #3: cost 52 inf + 208 34.563 * * [simplify]: Extracting #4: cost 33 inf + 2486 34.566 * * [simplify]: Extracting #5: cost 0 inf + 7465 34.570 * [simplify]: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 34.570 * [simplify]: Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) 34.570 * * * * [progress]: [ 104 / 106 ] simplifiying candidate # 34.570 * [simplify]: Simplifying (+ (pow a2 2) (pow a1 2)) 34.570 * * [simplify]: iters left: 3 (6 enodes) 34.574 * * [simplify]: iters left: 2 (27 enodes) 34.582 * * [simplify]: iters left: 1 (31 enodes) 34.590 * * [simplify]: Extracting #0: cost 1 inf + 0 34.590 * * [simplify]: Extracting #1: cost 4 inf + 0 34.590 * * [simplify]: Extracting #2: cost 9 inf + 0 34.591 * * [simplify]: Extracting #3: cost 6 inf + 3 34.591 * * [simplify]: Extracting #4: cost 1 inf + 370 34.591 * * [simplify]: Extracting #5: cost 0 inf + 411 34.591 * [simplify]: Simplified to (+ (* a2 a2) (* a1 a1)) 34.591 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 34.591 * * * * [progress]: [ 105 / 106 ] simplifiying candidate # 34.592 * [simplify]: Simplifying (+ (pow a2 2) (pow a1 2)) 34.592 * * [simplify]: iters left: 3 (6 enodes) 34.595 * * [simplify]: iters left: 2 (27 enodes) 34.604 * * [simplify]: iters left: 1 (31 enodes) 34.612 * * [simplify]: Extracting #0: cost 1 inf + 0 34.612 * * [simplify]: Extracting #1: cost 4 inf + 0 34.612 * * [simplify]: Extracting #2: cost 9 inf + 0 34.612 * * [simplify]: Extracting #3: cost 6 inf + 3 34.612 * * [simplify]: Extracting #4: cost 1 inf + 370 34.613 * * [simplify]: Extracting #5: cost 0 inf + 411 34.613 * [simplify]: Simplified to (+ (* a2 a2) (* a1 a1)) 34.613 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 34.613 * * * * [progress]: [ 106 / 106 ] simplifiying candidate # 34.613 * [simplify]: Simplifying (+ (pow a2 2) (pow a1 2)) 34.613 * * [simplify]: iters left: 3 (6 enodes) 34.617 * * [simplify]: iters left: 2 (27 enodes) 34.624 * * [simplify]: iters left: 1 (31 enodes) 34.628 * * [simplify]: Extracting #0: cost 1 inf + 0 34.628 * * [simplify]: Extracting #1: cost 4 inf + 0 34.628 * * [simplify]: Extracting #2: cost 9 inf + 0 34.628 * * [simplify]: Extracting #3: cost 6 inf + 3 34.629 * * [simplify]: Extracting #4: cost 1 inf + 370 34.629 * * [simplify]: Extracting #5: cost 0 inf + 411 34.629 * [simplify]: Simplified to (+ (* a2 a2) (* a1 a1)) 34.629 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) 34.629 * * * [progress]: adding candidates to table 35.721 * * [progress]: iteration 3 / 4 35.721 * * * [progress]: picking best candidate 35.756 * * * * [pick]: Picked # 35.756 * * * [progress]: localizing error 35.796 * * * [progress]: generating rewritten candidates 35.796 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 35.802 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 35.814 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 35.840 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 36.042 * * * [progress]: generating series expansions 36.042 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 36.043 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (* a2 a2))) into (sqrt (+ (pow a2 2) (pow a1 2))) 36.043 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0 36.043 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2 36.043 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 36.043 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.043 * [taylor]: Taking taylor expansion of a2 in a2 36.043 * [backup-simplify]: Simplify 0 into 0 36.043 * [backup-simplify]: Simplify 1 into 1 36.043 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 36.043 * [taylor]: Taking taylor expansion of a1 in a2 36.043 * [backup-simplify]: Simplify a1 into a1 36.043 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.043 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2) 36.043 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1 36.043 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 36.044 * [backup-simplify]: Simplify (+ 0 0) into 0 36.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0 36.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 36.044 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 36.044 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.044 * [taylor]: Taking taylor expansion of a2 in a1 36.044 * [backup-simplify]: Simplify a2 into a2 36.044 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.044 * [taylor]: Taking taylor expansion of a1 in a1 36.044 * [backup-simplify]: Simplify 0 into 0 36.044 * [backup-simplify]: Simplify 1 into 1 36.045 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.045 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 36.045 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2 36.045 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.045 * [backup-simplify]: Simplify (+ 0 0) into 0 36.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0 36.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 36.046 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 36.046 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.046 * [taylor]: Taking taylor expansion of a2 in a1 36.046 * [backup-simplify]: Simplify a2 into a2 36.046 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.046 * [taylor]: Taking taylor expansion of a1 in a1 36.046 * [backup-simplify]: Simplify 0 into 0 36.046 * [backup-simplify]: Simplify 1 into 1 36.046 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.046 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 36.046 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2 36.046 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.047 * [backup-simplify]: Simplify (+ 0 0) into 0 36.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0 36.047 * [taylor]: Taking taylor expansion of a2 in a2 36.047 * [backup-simplify]: Simplify 0 into 0 36.047 * [backup-simplify]: Simplify 1 into 1 36.047 * [backup-simplify]: Simplify 0 into 0 36.047 * [taylor]: Taking taylor expansion of 0 in a2 36.047 * [backup-simplify]: Simplify 0 into 0 36.047 * [backup-simplify]: Simplify 0 into 0 36.047 * [backup-simplify]: Simplify 1 into 1 36.048 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 36.048 * [backup-simplify]: Simplify (* 1 1) into 1 36.049 * [backup-simplify]: Simplify (+ 0 1) into 1 36.049 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2) 36.050 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2 36.050 * [taylor]: Taking taylor expansion of 1/2 in a2 36.050 * [backup-simplify]: Simplify 1/2 into 1/2 36.050 * [taylor]: Taking taylor expansion of a2 in a2 36.050 * [backup-simplify]: Simplify 0 into 0 36.050 * [backup-simplify]: Simplify 1 into 1 36.050 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 36.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 36.051 * [backup-simplify]: Simplify 0 into 0 36.051 * [backup-simplify]: Simplify 0 into 0 36.051 * [backup-simplify]: Simplify 0 into 0 36.052 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 36.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.053 * [backup-simplify]: Simplify (+ 0 0) into 0 36.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0 36.053 * [taylor]: Taking taylor expansion of 0 in a2 36.053 * [backup-simplify]: Simplify 0 into 0 36.053 * [backup-simplify]: Simplify 0 into 0 36.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.054 * [backup-simplify]: Simplify 0 into 0 36.055 * [backup-simplify]: Simplify 0 into 0 36.055 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2 36.055 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 36.055 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0 36.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 36.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 36.055 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 36.055 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.055 * [taylor]: Taking taylor expansion of a2 in a2 36.055 * [backup-simplify]: Simplify 0 into 0 36.055 * [backup-simplify]: Simplify 1 into 1 36.056 * [backup-simplify]: Simplify (* 1 1) into 1 36.056 * [backup-simplify]: Simplify (/ 1 1) into 1 36.056 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 36.056 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 36.056 * [taylor]: Taking taylor expansion of a1 in a2 36.056 * [backup-simplify]: Simplify a1 into a1 36.056 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.056 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 36.057 * [backup-simplify]: Simplify (+ 1 0) into 1 36.057 * [backup-simplify]: Simplify (sqrt 1) into 1 36.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.059 * [backup-simplify]: Simplify (+ 0 0) into 0 36.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 36.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 36.060 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 36.060 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.060 * [taylor]: Taking taylor expansion of a2 in a1 36.060 * [backup-simplify]: Simplify a2 into a2 36.060 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.060 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.060 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 36.060 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.060 * [taylor]: Taking taylor expansion of a1 in a1 36.060 * [backup-simplify]: Simplify 0 into 0 36.060 * [backup-simplify]: Simplify 1 into 1 36.060 * [backup-simplify]: Simplify (* 1 1) into 1 36.061 * [backup-simplify]: Simplify (/ 1 1) into 1 36.061 * [backup-simplify]: Simplify (+ 0 1) into 1 36.061 * [backup-simplify]: Simplify (sqrt 1) into 1 36.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.063 * [backup-simplify]: Simplify (+ 0 0) into 0 36.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 36.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 36.064 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 36.064 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.064 * [taylor]: Taking taylor expansion of a2 in a1 36.064 * [backup-simplify]: Simplify a2 into a2 36.064 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.064 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.064 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 36.064 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.064 * [taylor]: Taking taylor expansion of a1 in a1 36.064 * [backup-simplify]: Simplify 0 into 0 36.064 * [backup-simplify]: Simplify 1 into 1 36.065 * [backup-simplify]: Simplify (* 1 1) into 1 36.065 * [backup-simplify]: Simplify (/ 1 1) into 1 36.066 * [backup-simplify]: Simplify (+ 0 1) into 1 36.066 * [backup-simplify]: Simplify (sqrt 1) into 1 36.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.068 * [backup-simplify]: Simplify (+ 0 0) into 0 36.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.068 * [taylor]: Taking taylor expansion of 1 in a2 36.069 * [backup-simplify]: Simplify 1 into 1 36.069 * [taylor]: Taking taylor expansion of 0 in a2 36.069 * [backup-simplify]: Simplify 0 into 0 36.069 * [backup-simplify]: Simplify 1 into 1 36.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.071 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 36.072 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2)) 36.072 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2 36.072 * [taylor]: Taking taylor expansion of 1/2 in a2 36.072 * [backup-simplify]: Simplify 1/2 into 1/2 36.072 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.072 * [taylor]: Taking taylor expansion of a2 in a2 36.072 * [backup-simplify]: Simplify 0 into 0 36.072 * [backup-simplify]: Simplify 1 into 1 36.072 * [backup-simplify]: Simplify (* 1 1) into 1 36.073 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 36.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 36.074 * [backup-simplify]: Simplify 0 into 0 36.074 * [backup-simplify]: Simplify 0 into 0 36.074 * [backup-simplify]: Simplify 0 into 0 36.075 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 36.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.077 * [backup-simplify]: Simplify (+ 0 0) into 0 36.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0 36.078 * [taylor]: Taking taylor expansion of 0 in a2 36.078 * [backup-simplify]: Simplify 0 into 0 36.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.080 * [backup-simplify]: Simplify 0 into 0 36.080 * [backup-simplify]: Simplify 0 into 0 36.080 * [backup-simplify]: Simplify 0 into 0 36.080 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1 36.080 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 36.080 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0 36.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 36.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 36.081 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 36.081 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.081 * [taylor]: Taking taylor expansion of a2 in a2 36.081 * [backup-simplify]: Simplify 0 into 0 36.081 * [backup-simplify]: Simplify 1 into 1 36.081 * [backup-simplify]: Simplify (* 1 1) into 1 36.081 * [backup-simplify]: Simplify (/ 1 1) into 1 36.082 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 36.082 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 36.082 * [taylor]: Taking taylor expansion of a1 in a2 36.082 * [backup-simplify]: Simplify a1 into a1 36.082 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.082 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 36.082 * [backup-simplify]: Simplify (+ 1 0) into 1 36.083 * [backup-simplify]: Simplify (sqrt 1) into 1 36.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.084 * [backup-simplify]: Simplify (+ 0 0) into 0 36.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 36.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 36.085 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 36.085 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.085 * [taylor]: Taking taylor expansion of a2 in a1 36.085 * [backup-simplify]: Simplify a2 into a2 36.085 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.086 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.086 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 36.086 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.086 * [taylor]: Taking taylor expansion of a1 in a1 36.086 * [backup-simplify]: Simplify 0 into 0 36.086 * [backup-simplify]: Simplify 1 into 1 36.086 * [backup-simplify]: Simplify (* 1 1) into 1 36.086 * [backup-simplify]: Simplify (/ 1 1) into 1 36.087 * [backup-simplify]: Simplify (+ 0 1) into 1 36.087 * [backup-simplify]: Simplify (sqrt 1) into 1 36.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.089 * [backup-simplify]: Simplify (+ 0 0) into 0 36.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 36.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 36.090 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 36.090 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.090 * [taylor]: Taking taylor expansion of a2 in a1 36.090 * [backup-simplify]: Simplify a2 into a2 36.090 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.090 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.090 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 36.090 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.090 * [taylor]: Taking taylor expansion of a1 in a1 36.090 * [backup-simplify]: Simplify 0 into 0 36.090 * [backup-simplify]: Simplify 1 into 1 36.090 * [backup-simplify]: Simplify (* 1 1) into 1 36.091 * [backup-simplify]: Simplify (/ 1 1) into 1 36.091 * [backup-simplify]: Simplify (+ 0 1) into 1 36.091 * [backup-simplify]: Simplify (sqrt 1) into 1 36.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.092 * [backup-simplify]: Simplify (+ 0 0) into 0 36.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.093 * [taylor]: Taking taylor expansion of 1 in a2 36.093 * [backup-simplify]: Simplify 1 into 1 36.093 * [taylor]: Taking taylor expansion of 0 in a2 36.093 * [backup-simplify]: Simplify 0 into 0 36.093 * [backup-simplify]: Simplify 1 into 1 36.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.094 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 36.095 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2)) 36.095 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2 36.095 * [taylor]: Taking taylor expansion of 1/2 in a2 36.095 * [backup-simplify]: Simplify 1/2 into 1/2 36.095 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.095 * [taylor]: Taking taylor expansion of a2 in a2 36.095 * [backup-simplify]: Simplify 0 into 0 36.095 * [backup-simplify]: Simplify 1 into 1 36.095 * [backup-simplify]: Simplify (* 1 1) into 1 36.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 36.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 36.096 * [backup-simplify]: Simplify 0 into 0 36.096 * [backup-simplify]: Simplify 0 into 0 36.096 * [backup-simplify]: Simplify 0 into 0 36.096 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 36.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.098 * [backup-simplify]: Simplify (+ 0 0) into 0 36.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0 36.098 * [taylor]: Taking taylor expansion of 0 in a2 36.098 * [backup-simplify]: Simplify 0 into 0 36.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.100 * [backup-simplify]: Simplify 0 into 0 36.100 * [backup-simplify]: Simplify 0 into 0 36.100 * [backup-simplify]: Simplify 0 into 0 36.100 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1) 36.100 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 36.100 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (* a2 a2))) into (sqrt (+ (pow a2 2) (pow a1 2))) 36.100 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0 36.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2 36.100 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 36.100 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.100 * [taylor]: Taking taylor expansion of a2 in a2 36.100 * [backup-simplify]: Simplify 0 into 0 36.100 * [backup-simplify]: Simplify 1 into 1 36.100 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 36.100 * [taylor]: Taking taylor expansion of a1 in a2 36.100 * [backup-simplify]: Simplify a1 into a1 36.100 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.100 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2) 36.100 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1 36.100 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 36.100 * [backup-simplify]: Simplify (+ 0 0) into 0 36.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0 36.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 36.101 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 36.101 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.101 * [taylor]: Taking taylor expansion of a2 in a1 36.101 * [backup-simplify]: Simplify a2 into a2 36.101 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.101 * [taylor]: Taking taylor expansion of a1 in a1 36.101 * [backup-simplify]: Simplify 0 into 0 36.101 * [backup-simplify]: Simplify 1 into 1 36.101 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.101 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 36.101 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2 36.101 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.101 * [backup-simplify]: Simplify (+ 0 0) into 0 36.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0 36.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 36.101 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 36.101 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.101 * [taylor]: Taking taylor expansion of a2 in a1 36.101 * [backup-simplify]: Simplify a2 into a2 36.101 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.101 * [taylor]: Taking taylor expansion of a1 in a1 36.101 * [backup-simplify]: Simplify 0 into 0 36.101 * [backup-simplify]: Simplify 1 into 1 36.101 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.101 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 36.101 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2 36.102 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.102 * [backup-simplify]: Simplify (+ 0 0) into 0 36.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0 36.102 * [taylor]: Taking taylor expansion of a2 in a2 36.102 * [backup-simplify]: Simplify 0 into 0 36.102 * [backup-simplify]: Simplify 1 into 1 36.102 * [backup-simplify]: Simplify 0 into 0 36.102 * [taylor]: Taking taylor expansion of 0 in a2 36.102 * [backup-simplify]: Simplify 0 into 0 36.102 * [backup-simplify]: Simplify 0 into 0 36.102 * [backup-simplify]: Simplify 1 into 1 36.102 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 36.103 * [backup-simplify]: Simplify (* 1 1) into 1 36.103 * [backup-simplify]: Simplify (+ 0 1) into 1 36.103 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2) 36.103 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2 36.103 * [taylor]: Taking taylor expansion of 1/2 in a2 36.103 * [backup-simplify]: Simplify 1/2 into 1/2 36.103 * [taylor]: Taking taylor expansion of a2 in a2 36.103 * [backup-simplify]: Simplify 0 into 0 36.103 * [backup-simplify]: Simplify 1 into 1 36.104 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 36.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 36.104 * [backup-simplify]: Simplify 0 into 0 36.104 * [backup-simplify]: Simplify 0 into 0 36.104 * [backup-simplify]: Simplify 0 into 0 36.105 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 36.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.105 * [backup-simplify]: Simplify (+ 0 0) into 0 36.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0 36.106 * [taylor]: Taking taylor expansion of 0 in a2 36.106 * [backup-simplify]: Simplify 0 into 0 36.106 * [backup-simplify]: Simplify 0 into 0 36.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.106 * [backup-simplify]: Simplify 0 into 0 36.106 * [backup-simplify]: Simplify 0 into 0 36.106 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2 36.106 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 36.106 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0 36.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 36.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 36.107 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 36.107 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.107 * [taylor]: Taking taylor expansion of a2 in a2 36.107 * [backup-simplify]: Simplify 0 into 0 36.107 * [backup-simplify]: Simplify 1 into 1 36.107 * [backup-simplify]: Simplify (* 1 1) into 1 36.107 * [backup-simplify]: Simplify (/ 1 1) into 1 36.107 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 36.107 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 36.107 * [taylor]: Taking taylor expansion of a1 in a2 36.107 * [backup-simplify]: Simplify a1 into a1 36.107 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.107 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 36.107 * [backup-simplify]: Simplify (+ 1 0) into 1 36.108 * [backup-simplify]: Simplify (sqrt 1) into 1 36.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.109 * [backup-simplify]: Simplify (+ 0 0) into 0 36.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 36.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 36.109 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 36.109 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.109 * [taylor]: Taking taylor expansion of a2 in a1 36.109 * [backup-simplify]: Simplify a2 into a2 36.109 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.109 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.109 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 36.109 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.109 * [taylor]: Taking taylor expansion of a1 in a1 36.109 * [backup-simplify]: Simplify 0 into 0 36.109 * [backup-simplify]: Simplify 1 into 1 36.110 * [backup-simplify]: Simplify (* 1 1) into 1 36.110 * [backup-simplify]: Simplify (/ 1 1) into 1 36.110 * [backup-simplify]: Simplify (+ 0 1) into 1 36.110 * [backup-simplify]: Simplify (sqrt 1) into 1 36.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.111 * [backup-simplify]: Simplify (+ 0 0) into 0 36.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 36.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 36.120 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 36.121 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.121 * [taylor]: Taking taylor expansion of a2 in a1 36.121 * [backup-simplify]: Simplify a2 into a2 36.121 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.121 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.121 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 36.121 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.121 * [taylor]: Taking taylor expansion of a1 in a1 36.121 * [backup-simplify]: Simplify 0 into 0 36.121 * [backup-simplify]: Simplify 1 into 1 36.121 * [backup-simplify]: Simplify (* 1 1) into 1 36.122 * [backup-simplify]: Simplify (/ 1 1) into 1 36.122 * [backup-simplify]: Simplify (+ 0 1) into 1 36.122 * [backup-simplify]: Simplify (sqrt 1) into 1 36.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.123 * [backup-simplify]: Simplify (+ 0 0) into 0 36.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.124 * [taylor]: Taking taylor expansion of 1 in a2 36.124 * [backup-simplify]: Simplify 1 into 1 36.124 * [taylor]: Taking taylor expansion of 0 in a2 36.124 * [backup-simplify]: Simplify 0 into 0 36.124 * [backup-simplify]: Simplify 1 into 1 36.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.125 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 36.127 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2)) 36.127 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2 36.127 * [taylor]: Taking taylor expansion of 1/2 in a2 36.127 * [backup-simplify]: Simplify 1/2 into 1/2 36.127 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.127 * [taylor]: Taking taylor expansion of a2 in a2 36.127 * [backup-simplify]: Simplify 0 into 0 36.127 * [backup-simplify]: Simplify 1 into 1 36.127 * [backup-simplify]: Simplify (* 1 1) into 1 36.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 36.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 36.129 * [backup-simplify]: Simplify 0 into 0 36.129 * [backup-simplify]: Simplify 0 into 0 36.129 * [backup-simplify]: Simplify 0 into 0 36.130 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 36.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.132 * [backup-simplify]: Simplify (+ 0 0) into 0 36.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0 36.133 * [taylor]: Taking taylor expansion of 0 in a2 36.133 * [backup-simplify]: Simplify 0 into 0 36.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.135 * [backup-simplify]: Simplify 0 into 0 36.135 * [backup-simplify]: Simplify 0 into 0 36.135 * [backup-simplify]: Simplify 0 into 0 36.135 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1 36.135 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 36.135 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0 36.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 36.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 36.136 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 36.136 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.136 * [taylor]: Taking taylor expansion of a2 in a2 36.136 * [backup-simplify]: Simplify 0 into 0 36.136 * [backup-simplify]: Simplify 1 into 1 36.136 * [backup-simplify]: Simplify (* 1 1) into 1 36.136 * [backup-simplify]: Simplify (/ 1 1) into 1 36.136 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 36.136 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 36.136 * [taylor]: Taking taylor expansion of a1 in a2 36.136 * [backup-simplify]: Simplify a1 into a1 36.137 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.137 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 36.137 * [backup-simplify]: Simplify (+ 1 0) into 1 36.137 * [backup-simplify]: Simplify (sqrt 1) into 1 36.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.139 * [backup-simplify]: Simplify (+ 0 0) into 0 36.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 36.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 36.140 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 36.140 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.140 * [taylor]: Taking taylor expansion of a2 in a1 36.140 * [backup-simplify]: Simplify a2 into a2 36.140 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.140 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.140 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 36.141 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.141 * [taylor]: Taking taylor expansion of a1 in a1 36.141 * [backup-simplify]: Simplify 0 into 0 36.141 * [backup-simplify]: Simplify 1 into 1 36.141 * [backup-simplify]: Simplify (* 1 1) into 1 36.141 * [backup-simplify]: Simplify (/ 1 1) into 1 36.142 * [backup-simplify]: Simplify (+ 0 1) into 1 36.142 * [backup-simplify]: Simplify (sqrt 1) into 1 36.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.144 * [backup-simplify]: Simplify (+ 0 0) into 0 36.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 36.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 36.145 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 36.145 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.145 * [taylor]: Taking taylor expansion of a2 in a1 36.145 * [backup-simplify]: Simplify a2 into a2 36.145 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.145 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.145 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 36.145 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.145 * [taylor]: Taking taylor expansion of a1 in a1 36.145 * [backup-simplify]: Simplify 0 into 0 36.145 * [backup-simplify]: Simplify 1 into 1 36.146 * [backup-simplify]: Simplify (* 1 1) into 1 36.146 * [backup-simplify]: Simplify (/ 1 1) into 1 36.147 * [backup-simplify]: Simplify (+ 0 1) into 1 36.147 * [backup-simplify]: Simplify (sqrt 1) into 1 36.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.149 * [backup-simplify]: Simplify (+ 0 0) into 0 36.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.150 * [taylor]: Taking taylor expansion of 1 in a2 36.150 * [backup-simplify]: Simplify 1 into 1 36.150 * [taylor]: Taking taylor expansion of 0 in a2 36.150 * [backup-simplify]: Simplify 0 into 0 36.150 * [backup-simplify]: Simplify 1 into 1 36.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.152 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 36.153 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2)) 36.153 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2 36.153 * [taylor]: Taking taylor expansion of 1/2 in a2 36.153 * [backup-simplify]: Simplify 1/2 into 1/2 36.153 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.153 * [taylor]: Taking taylor expansion of a2 in a2 36.153 * [backup-simplify]: Simplify 0 into 0 36.153 * [backup-simplify]: Simplify 1 into 1 36.154 * [backup-simplify]: Simplify (* 1 1) into 1 36.154 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 36.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 36.156 * [backup-simplify]: Simplify 0 into 0 36.156 * [backup-simplify]: Simplify 0 into 0 36.156 * [backup-simplify]: Simplify 0 into 0 36.156 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 36.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.158 * [backup-simplify]: Simplify (+ 0 0) into 0 36.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0 36.159 * [taylor]: Taking taylor expansion of 0 in a2 36.159 * [backup-simplify]: Simplify 0 into 0 36.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.161 * [backup-simplify]: Simplify 0 into 0 36.161 * [backup-simplify]: Simplify 0 into 0 36.161 * [backup-simplify]: Simplify 0 into 0 36.161 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1) 36.161 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 36.164 * [backup-simplify]: Simplify (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th))) 36.164 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th))) in (th a1 a2) around 0 36.164 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th))) in a2 36.164 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2 36.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2 36.164 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2 36.164 * [taylor]: Taking taylor expansion of 1/3 in a2 36.164 * [backup-simplify]: Simplify 1/3 into 1/3 36.164 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2 36.164 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2 36.164 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a2 36.164 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.164 * [taylor]: Taking taylor expansion of 2 in a2 36.165 * [backup-simplify]: Simplify 2 into 2 36.165 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.167 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.168 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.170 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.173 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.177 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.178 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th)) in a2 36.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2 36.178 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 36.178 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.178 * [taylor]: Taking taylor expansion of a2 in a2 36.178 * [backup-simplify]: Simplify 0 into 0 36.178 * [backup-simplify]: Simplify 1 into 1 36.178 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 36.178 * [taylor]: Taking taylor expansion of a1 in a2 36.178 * [backup-simplify]: Simplify a1 into a1 36.178 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.178 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2) 36.178 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1 36.178 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 36.179 * [backup-simplify]: Simplify (+ 0 0) into 0 36.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0 36.179 * [taylor]: Taking taylor expansion of (cos th) in a2 36.179 * [taylor]: Taking taylor expansion of th in a2 36.179 * [backup-simplify]: Simplify th into th 36.179 * [backup-simplify]: Simplify (cos th) into (cos th) 36.179 * [backup-simplify]: Simplify (sin th) into (sin th) 36.179 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th))) in a1 36.179 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a1 36.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a1 36.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a1 36.179 * [taylor]: Taking taylor expansion of 1/3 in a1 36.179 * [backup-simplify]: Simplify 1/3 into 1/3 36.179 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a1 36.179 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a1 36.179 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a1 36.179 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 36.179 * [taylor]: Taking taylor expansion of 2 in a1 36.179 * [backup-simplify]: Simplify 2 into 2 36.180 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.181 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.183 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.185 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.188 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.192 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.192 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th)) in a1 36.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 36.192 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 36.192 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.192 * [taylor]: Taking taylor expansion of a2 in a1 36.192 * [backup-simplify]: Simplify a2 into a2 36.193 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.193 * [taylor]: Taking taylor expansion of a1 in a1 36.193 * [backup-simplify]: Simplify 0 into 0 36.193 * [backup-simplify]: Simplify 1 into 1 36.193 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.193 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 36.193 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2 36.193 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.193 * [backup-simplify]: Simplify (+ 0 0) into 0 36.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0 36.194 * [taylor]: Taking taylor expansion of (cos th) in a1 36.194 * [taylor]: Taking taylor expansion of th in a1 36.194 * [backup-simplify]: Simplify th into th 36.194 * [backup-simplify]: Simplify (cos th) into (cos th) 36.194 * [backup-simplify]: Simplify (sin th) into (sin th) 36.194 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th))) in th 36.194 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in th 36.194 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in th 36.194 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in th 36.194 * [taylor]: Taking taylor expansion of 1/3 in th 36.194 * [backup-simplify]: Simplify 1/3 into 1/3 36.194 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in th 36.194 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in th 36.194 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in th 36.194 * [taylor]: Taking taylor expansion of (sqrt 2) in th 36.194 * [taylor]: Taking taylor expansion of 2 in th 36.194 * [backup-simplify]: Simplify 2 into 2 36.194 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.196 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.198 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.200 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.203 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.208 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.208 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th)) in th 36.208 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in th 36.208 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 36.208 * [taylor]: Taking taylor expansion of (pow a2 2) in th 36.208 * [taylor]: Taking taylor expansion of a2 in th 36.208 * [backup-simplify]: Simplify a2 into a2 36.208 * [taylor]: Taking taylor expansion of (pow a1 2) in th 36.208 * [taylor]: Taking taylor expansion of a1 in th 36.208 * [backup-simplify]: Simplify a1 into a1 36.208 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.208 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.208 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2)) 36.208 * [backup-simplify]: Simplify (sqrt (+ (pow a2 2) (pow a1 2))) into (sqrt (+ (pow a2 2) (pow a1 2))) 36.208 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.209 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 36.209 * [backup-simplify]: Simplify (+ 0 0) into 0 36.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow a2 2) (pow a1 2))))) into 0 36.209 * [taylor]: Taking taylor expansion of (cos th) in th 36.209 * [taylor]: Taking taylor expansion of th in th 36.209 * [backup-simplify]: Simplify 0 into 0 36.209 * [backup-simplify]: Simplify 1 into 1 36.209 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th))) in th 36.209 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in th 36.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in th 36.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in th 36.209 * [taylor]: Taking taylor expansion of 1/3 in th 36.209 * [backup-simplify]: Simplify 1/3 into 1/3 36.209 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in th 36.209 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in th 36.209 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in th 36.210 * [taylor]: Taking taylor expansion of (sqrt 2) in th 36.210 * [taylor]: Taking taylor expansion of 2 in th 36.210 * [backup-simplify]: Simplify 2 into 2 36.210 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.212 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.213 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.216 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.219 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.223 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.223 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th)) in th 36.223 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in th 36.223 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 36.223 * [taylor]: Taking taylor expansion of (pow a2 2) in th 36.223 * [taylor]: Taking taylor expansion of a2 in th 36.223 * [backup-simplify]: Simplify a2 into a2 36.223 * [taylor]: Taking taylor expansion of (pow a1 2) in th 36.223 * [taylor]: Taking taylor expansion of a1 in th 36.223 * [backup-simplify]: Simplify a1 into a1 36.223 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.223 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.223 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2)) 36.224 * [backup-simplify]: Simplify (sqrt (+ (pow a2 2) (pow a1 2))) into (sqrt (+ (pow a2 2) (pow a1 2))) 36.224 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.224 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 36.224 * [backup-simplify]: Simplify (+ 0 0) into 0 36.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow a2 2) (pow a1 2))))) into 0 36.224 * [taylor]: Taking taylor expansion of (cos th) in th 36.224 * [taylor]: Taking taylor expansion of th in th 36.224 * [backup-simplify]: Simplify 0 into 0 36.224 * [backup-simplify]: Simplify 1 into 1 36.225 * [backup-simplify]: Simplify (* (sqrt (+ (pow a2 2) (pow a1 2))) 1) into (sqrt (+ (pow a2 2) (pow a1 2))) 36.227 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (pow a2 2) (pow a1 2)))) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (pow a2 2) (pow a1 2)))) 36.227 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (pow a2 2) (pow a1 2)))) in a1 36.227 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a1 36.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a1 36.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a1 36.227 * [taylor]: Taking taylor expansion of 1/3 in a1 36.227 * [backup-simplify]: Simplify 1/3 into 1/3 36.227 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a1 36.227 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a1 36.227 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a1 36.227 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 36.227 * [taylor]: Taking taylor expansion of 2 in a1 36.227 * [backup-simplify]: Simplify 2 into 2 36.228 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.230 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.231 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.233 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.236 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.241 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.241 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 36.241 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 36.241 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.241 * [taylor]: Taking taylor expansion of a2 in a1 36.241 * [backup-simplify]: Simplify a2 into a2 36.241 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.241 * [taylor]: Taking taylor expansion of a1 in a1 36.241 * [backup-simplify]: Simplify 0 into 0 36.241 * [backup-simplify]: Simplify 1 into 1 36.241 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.241 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 36.241 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2 36.241 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.242 * [backup-simplify]: Simplify (+ 0 0) into 0 36.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0 36.244 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) a2) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) a2) 36.244 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) a2) in a2 36.244 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2 36.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2 36.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2 36.244 * [taylor]: Taking taylor expansion of 1/3 in a2 36.244 * [backup-simplify]: Simplify 1/3 into 1/3 36.244 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2 36.244 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2 36.244 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a2 36.244 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.244 * [taylor]: Taking taylor expansion of 2 in a2 36.244 * [backup-simplify]: Simplify 2 into 2 36.245 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.247 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.248 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.250 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.253 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.258 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.258 * [taylor]: Taking taylor expansion of a2 in a2 36.258 * [backup-simplify]: Simplify 0 into 0 36.258 * [backup-simplify]: Simplify 1 into 1 36.259 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) into 0 36.259 * [backup-simplify]: Simplify 0 into 0 36.262 * [backup-simplify]: Simplify (+ 0) into 0 36.263 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow a2 2) (pow a1 2))) 0) (* 0 1)) into 0 36.263 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 36.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0 36.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0 36.268 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0 36.270 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 36.272 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (* 0 (sqrt (+ (pow a2 2) (pow a1 2))))) into 0 36.272 * [taylor]: Taking taylor expansion of 0 in a1 36.272 * [backup-simplify]: Simplify 0 into 0 36.272 * [taylor]: Taking taylor expansion of 0 in a2 36.272 * [backup-simplify]: Simplify 0 into 0 36.272 * [backup-simplify]: Simplify 0 into 0 36.273 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 36.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0 36.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0 36.277 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0 36.280 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 36.281 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (* 0 a2)) into 0 36.281 * [taylor]: Taking taylor expansion of 0 in a2 36.281 * [backup-simplify]: Simplify 0 into 0 36.281 * [backup-simplify]: Simplify 0 into 0 36.282 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 36.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0 36.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0 36.287 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0 36.289 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 36.294 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 1) (* 0 0)) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.296 * [backup-simplify]: Simplify (pow (/ 1 (pow (sqrt 2) 2)) 1/3) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.297 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 36.297 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 36.298 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 36.298 * [backup-simplify]: Simplify (+ 0 0) into 0 36.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow a2 2) (pow a1 2))))) into 0 36.300 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow a2 2) (pow a1 2))) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sqrt (+ (pow a2 2) (pow a1 2))))) 36.301 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 36.302 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 36.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0 36.307 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0 36.309 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0 36.312 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 36.315 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (- (* 1/2 (sqrt (+ (pow a2 2) (pow a1 2)))))) (+ (* 0 0) (* 0 (sqrt (+ (pow a2 2) (pow a1 2)))))) into (- (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (pow a2 2) (pow a1 2)))))) 36.315 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (pow a2 2) (pow a1 2)))))) in a1 36.315 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (pow a2 2) (pow a1 2))))) in a1 36.315 * [taylor]: Taking taylor expansion of 1/2 in a1 36.315 * [backup-simplify]: Simplify 1/2 into 1/2 36.315 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (pow a2 2) (pow a1 2)))) in a1 36.315 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a1 36.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a1 36.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a1 36.316 * [taylor]: Taking taylor expansion of 1/3 in a1 36.316 * [backup-simplify]: Simplify 1/3 into 1/3 36.316 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a1 36.316 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a1 36.316 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a1 36.316 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 36.316 * [taylor]: Taking taylor expansion of 2 in a1 36.316 * [backup-simplify]: Simplify 2 into 2 36.316 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.318 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.320 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.322 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.325 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.329 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 36.329 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 36.329 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.329 * [taylor]: Taking taylor expansion of a2 in a1 36.329 * [backup-simplify]: Simplify a2 into a2 36.329 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.329 * [taylor]: Taking taylor expansion of a1 in a1 36.329 * [backup-simplify]: Simplify 0 into 0 36.329 * [backup-simplify]: Simplify 1 into 1 36.329 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.330 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 36.330 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2 36.330 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.330 * [backup-simplify]: Simplify (+ 0 0) into 0 36.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0 36.333 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) a2) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) a2) 36.335 * [backup-simplify]: Simplify (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) a2)) into (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) a2)) 36.337 * [backup-simplify]: Simplify (- (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) a2))) into (- (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) a2))) 36.337 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) a2))) in a2 36.337 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) a2)) in a2 36.337 * [taylor]: Taking taylor expansion of 1/2 in a2 36.337 * [backup-simplify]: Simplify 1/2 into 1/2 36.337 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) a2) in a2 36.337 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2 36.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2 36.338 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2 36.338 * [taylor]: Taking taylor expansion of 1/3 in a2 36.338 * [backup-simplify]: Simplify 1/3 into 1/3 36.338 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2 36.338 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2 36.338 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a2 36.338 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.338 * [taylor]: Taking taylor expansion of 2 in a2 36.338 * [backup-simplify]: Simplify 2 into 2 36.338 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.340 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.342 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.344 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.347 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.351 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.352 * [taylor]: Taking taylor expansion of a2 in a2 36.352 * [backup-simplify]: Simplify 0 into 0 36.352 * [backup-simplify]: Simplify 1 into 1 36.353 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) into 0 36.353 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.353 * [backup-simplify]: Simplify (- 0) into 0 36.354 * [backup-simplify]: Simplify 0 into 0 36.354 * [taylor]: Taking taylor expansion of 0 in a2 36.354 * [backup-simplify]: Simplify 0 into 0 36.354 * [backup-simplify]: Simplify 0 into 0 36.354 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 36.355 * [backup-simplify]: Simplify (* 1 1) into 1 36.355 * [backup-simplify]: Simplify (+ 0 1) into 1 36.356 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2) 36.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 36.358 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 36.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0 36.363 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0 36.365 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0 36.368 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 36.371 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ 1/2 a2)) (+ (* 0 0) (* 0 a2))) into (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ 1 a2))) 36.371 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ 1 a2))) in a2 36.371 * [taylor]: Taking taylor expansion of 1/2 in a2 36.371 * [backup-simplify]: Simplify 1/2 into 1/2 36.371 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ 1 a2)) in a2 36.371 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2 36.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2 36.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2 36.371 * [taylor]: Taking taylor expansion of 1/3 in a2 36.371 * [backup-simplify]: Simplify 1/3 into 1/3 36.371 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2 36.371 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2 36.371 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a2 36.371 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.371 * [taylor]: Taking taylor expansion of 2 in a2 36.371 * [backup-simplify]: Simplify 2 into 2 36.372 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.374 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.375 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.377 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.380 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.385 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.385 * [taylor]: Taking taylor expansion of (/ 1 a2) in a2 36.385 * [taylor]: Taking taylor expansion of a2 in a2 36.385 * [backup-simplify]: Simplify 0 into 0 36.385 * [backup-simplify]: Simplify 1 into 1 36.386 * [backup-simplify]: Simplify (/ 1 1) into 1 36.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.387 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 36.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0 36.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0 36.392 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0 36.394 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 36.395 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (* 0 1)) into 0 36.399 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 1) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) into 0 36.400 * [backup-simplify]: Simplify 0 into 0 36.401 * [backup-simplify]: Simplify 0 into 0 36.401 * [backup-simplify]: Simplify 0 into 0 36.402 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 36.403 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 36.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0 36.410 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0 36.412 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0 36.415 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 36.417 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (+ (* 0 1) (* 0 0))) into 0 36.417 * [backup-simplify]: Simplify 0 into 0 36.420 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* a2 (* 1 1))) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) a2) 36.422 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))))) into (* (cos (/ 1 th)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) 36.422 * [approximate]: Taking taylor expansion of (* (cos (/ 1 th)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in (th a1 a2) around 0 36.423 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a2 36.423 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 36.423 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 36.423 * [taylor]: Taking taylor expansion of th in a2 36.423 * [backup-simplify]: Simplify th into th 36.423 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 36.423 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 36.423 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 36.423 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2 36.423 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2 36.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2 36.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2 36.423 * [taylor]: Taking taylor expansion of 1/3 in a2 36.423 * [backup-simplify]: Simplify 1/3 into 1/3 36.423 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2 36.423 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2 36.423 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a2 36.423 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.423 * [taylor]: Taking taylor expansion of 2 in a2 36.423 * [backup-simplify]: Simplify 2 into 2 36.424 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.425 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.427 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.429 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.432 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.436 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 36.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 36.437 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 36.437 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.437 * [taylor]: Taking taylor expansion of a2 in a2 36.437 * [backup-simplify]: Simplify 0 into 0 36.437 * [backup-simplify]: Simplify 1 into 1 36.437 * [backup-simplify]: Simplify (* 1 1) into 1 36.437 * [backup-simplify]: Simplify (/ 1 1) into 1 36.437 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 36.438 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 36.438 * [taylor]: Taking taylor expansion of a1 in a2 36.438 * [backup-simplify]: Simplify a1 into a1 36.438 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.438 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 36.438 * [backup-simplify]: Simplify (+ 1 0) into 1 36.438 * [backup-simplify]: Simplify (sqrt 1) into 1 36.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.440 * [backup-simplify]: Simplify (+ 0 0) into 0 36.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.441 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1 36.441 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 36.441 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 36.441 * [taylor]: Taking taylor expansion of th in a1 36.441 * [backup-simplify]: Simplify th into th 36.441 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 36.441 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 36.441 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 36.441 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1 36.441 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a1 36.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a1 36.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a1 36.441 * [taylor]: Taking taylor expansion of 1/3 in a1 36.441 * [backup-simplify]: Simplify 1/3 into 1/3 36.441 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a1 36.441 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a1 36.441 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a1 36.442 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 36.442 * [taylor]: Taking taylor expansion of 2 in a1 36.442 * [backup-simplify]: Simplify 2 into 2 36.442 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.444 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.445 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.447 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.451 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.455 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 36.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 36.455 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 36.455 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.455 * [taylor]: Taking taylor expansion of a2 in a1 36.455 * [backup-simplify]: Simplify a2 into a2 36.455 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.455 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.455 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 36.455 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.455 * [taylor]: Taking taylor expansion of a1 in a1 36.455 * [backup-simplify]: Simplify 0 into 0 36.455 * [backup-simplify]: Simplify 1 into 1 36.456 * [backup-simplify]: Simplify (* 1 1) into 1 36.456 * [backup-simplify]: Simplify (/ 1 1) into 1 36.456 * [backup-simplify]: Simplify (+ 0 1) into 1 36.457 * [backup-simplify]: Simplify (sqrt 1) into 1 36.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.458 * [backup-simplify]: Simplify (+ 0 0) into 0 36.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.459 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th 36.459 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 36.459 * [taylor]: Taking taylor expansion of (/ 1 th) in th 36.459 * [taylor]: Taking taylor expansion of th in th 36.459 * [backup-simplify]: Simplify 0 into 0 36.459 * [backup-simplify]: Simplify 1 into 1 36.460 * [backup-simplify]: Simplify (/ 1 1) into 1 36.460 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 36.460 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th 36.460 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in th 36.460 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in th 36.460 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in th 36.460 * [taylor]: Taking taylor expansion of 1/3 in th 36.460 * [backup-simplify]: Simplify 1/3 into 1/3 36.460 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in th 36.460 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in th 36.460 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in th 36.460 * [taylor]: Taking taylor expansion of (sqrt 2) in th 36.460 * [taylor]: Taking taylor expansion of 2 in th 36.460 * [backup-simplify]: Simplify 2 into 2 36.460 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.462 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.464 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.466 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.469 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.473 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 36.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 36.473 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 36.473 * [taylor]: Taking taylor expansion of (pow a2 2) in th 36.473 * [taylor]: Taking taylor expansion of a2 in th 36.473 * [backup-simplify]: Simplify a2 into a2 36.473 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.473 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.473 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 36.473 * [taylor]: Taking taylor expansion of (pow a1 2) in th 36.473 * [taylor]: Taking taylor expansion of a1 in th 36.474 * [backup-simplify]: Simplify a1 into a1 36.474 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.474 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 36.474 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 36.474 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 36.474 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 36.474 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 36.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 36.475 * [backup-simplify]: Simplify (+ 0 0) into 0 36.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 36.475 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th 36.475 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 36.475 * [taylor]: Taking taylor expansion of (/ 1 th) in th 36.475 * [taylor]: Taking taylor expansion of th in th 36.475 * [backup-simplify]: Simplify 0 into 0 36.475 * [backup-simplify]: Simplify 1 into 1 36.476 * [backup-simplify]: Simplify (/ 1 1) into 1 36.476 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 36.476 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th 36.476 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in th 36.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in th 36.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in th 36.476 * [taylor]: Taking taylor expansion of 1/3 in th 36.476 * [backup-simplify]: Simplify 1/3 into 1/3 36.476 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in th 36.476 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in th 36.476 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in th 36.476 * [taylor]: Taking taylor expansion of (sqrt 2) in th 36.476 * [taylor]: Taking taylor expansion of 2 in th 36.476 * [backup-simplify]: Simplify 2 into 2 36.477 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.478 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.480 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.482 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.485 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.489 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 36.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 36.490 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 36.490 * [taylor]: Taking taylor expansion of (pow a2 2) in th 36.490 * [taylor]: Taking taylor expansion of a2 in th 36.490 * [backup-simplify]: Simplify a2 into a2 36.490 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.490 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.490 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 36.490 * [taylor]: Taking taylor expansion of (pow a1 2) in th 36.490 * [taylor]: Taking taylor expansion of a1 in th 36.490 * [backup-simplify]: Simplify a1 into a1 36.490 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.490 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 36.490 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 36.491 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 36.491 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 36.491 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 36.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 36.491 * [backup-simplify]: Simplify (+ 0 0) into 0 36.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 36.494 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) 36.497 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into (* (cos (/ 1 th)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) 36.497 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1 36.497 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 36.497 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 36.497 * [taylor]: Taking taylor expansion of th in a1 36.497 * [backup-simplify]: Simplify th into th 36.497 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 36.497 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 36.497 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 36.497 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1 36.497 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a1 36.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a1 36.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a1 36.497 * [taylor]: Taking taylor expansion of 1/3 in a1 36.497 * [backup-simplify]: Simplify 1/3 into 1/3 36.497 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a1 36.497 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a1 36.497 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a1 36.497 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 36.497 * [taylor]: Taking taylor expansion of 2 in a1 36.497 * [backup-simplify]: Simplify 2 into 2 36.498 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.500 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.501 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.503 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.507 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.511 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 36.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 36.511 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 36.511 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.511 * [taylor]: Taking taylor expansion of a2 in a1 36.511 * [backup-simplify]: Simplify a2 into a2 36.511 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.511 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.511 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 36.511 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.511 * [taylor]: Taking taylor expansion of a1 in a1 36.511 * [backup-simplify]: Simplify 0 into 0 36.511 * [backup-simplify]: Simplify 1 into 1 36.512 * [backup-simplify]: Simplify (* 1 1) into 1 36.512 * [backup-simplify]: Simplify (/ 1 1) into 1 36.512 * [backup-simplify]: Simplify (+ 0 1) into 1 36.513 * [backup-simplify]: Simplify (sqrt 1) into 1 36.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.515 * [backup-simplify]: Simplify (+ 0 0) into 0 36.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.515 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 36.515 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 36.516 * [backup-simplify]: Simplify (- 0) into 0 36.516 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 36.519 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 1) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.520 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) 36.520 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) in a2 36.520 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 36.520 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 36.520 * [taylor]: Taking taylor expansion of th in a2 36.520 * [backup-simplify]: Simplify th into th 36.520 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 36.520 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 36.520 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 36.520 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2 36.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2 36.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2 36.520 * [taylor]: Taking taylor expansion of 1/3 in a2 36.520 * [backup-simplify]: Simplify 1/3 into 1/3 36.520 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2 36.520 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2 36.520 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a2 36.520 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.520 * [taylor]: Taking taylor expansion of 2 in a2 36.521 * [backup-simplify]: Simplify 2 into 2 36.521 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.522 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.523 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.524 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.526 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.528 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.529 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 36.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0 36.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0 36.531 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0 36.532 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 36.533 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (* 0 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 36.535 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0 36.535 * [taylor]: Taking taylor expansion of 0 in a1 36.535 * [backup-simplify]: Simplify 0 into 0 36.537 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 36.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0 36.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0 36.540 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0 36.541 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 36.542 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (* 0 1)) into 0 36.542 * [backup-simplify]: Simplify (+ 0) into 0 36.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 36.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 36.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 36.544 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 36.544 * [backup-simplify]: Simplify (- 0) into 0 36.545 * [backup-simplify]: Simplify (+ 0 0) into 0 36.546 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) into 0 36.546 * [taylor]: Taking taylor expansion of 0 in a2 36.546 * [backup-simplify]: Simplify 0 into 0 36.546 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 36.546 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 36.547 * [backup-simplify]: Simplify (- 0) into 0 36.547 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 36.549 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) 36.552 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) 36.552 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 36.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 36.553 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 36.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 36.553 * [backup-simplify]: Simplify (+ 0 0) into 0 36.554 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 36.555 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 36.556 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 36.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0 36.561 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0 36.563 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0 36.566 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 36.568 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0 36.570 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0 36.571 * [taylor]: Taking taylor expansion of 0 in a1 36.571 * [backup-simplify]: Simplify 0 into 0 36.571 * [taylor]: Taking taylor expansion of 0 in a2 36.571 * [backup-simplify]: Simplify 0 into 0 36.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.572 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 36.573 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2)) 36.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 36.574 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 36.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0 36.576 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0 36.577 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0 36.579 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 36.581 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ 1 (pow a2 2)))) 36.581 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 36.582 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 36.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 36.582 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 36.583 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 36.583 * [backup-simplify]: Simplify (- 0) into 0 36.583 * [backup-simplify]: Simplify (+ 0 0) into 0 36.585 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ 1 (pow a2 2))))) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))) into (* 1/2 (* (/ (cos (/ 1 th)) (pow a2 2)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) 36.585 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ (cos (/ 1 th)) (pow a2 2)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) in a2 36.585 * [taylor]: Taking taylor expansion of 1/2 in a2 36.585 * [backup-simplify]: Simplify 1/2 into 1/2 36.585 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1 th)) (pow a2 2)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) in a2 36.585 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2 36.585 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 36.585 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 36.585 * [taylor]: Taking taylor expansion of th in a2 36.585 * [backup-simplify]: Simplify th into th 36.586 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 36.586 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 36.586 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 36.586 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.586 * [taylor]: Taking taylor expansion of a2 in a2 36.586 * [backup-simplify]: Simplify 0 into 0 36.586 * [backup-simplify]: Simplify 1 into 1 36.586 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 36.586 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 36.586 * [backup-simplify]: Simplify (- 0) into 0 36.586 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 36.586 * [backup-simplify]: Simplify (* 1 1) into 1 36.586 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th)) 36.586 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2 36.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2 36.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2 36.586 * [taylor]: Taking taylor expansion of 1/3 in a2 36.586 * [backup-simplify]: Simplify 1/3 into 1/3 36.586 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2 36.587 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2 36.587 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a2 36.587 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.587 * [taylor]: Taking taylor expansion of 2 in a2 36.587 * [backup-simplify]: Simplify 2 into 2 36.587 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.588 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.589 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.590 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.592 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.595 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.596 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 36.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0 36.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0 36.601 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0 36.603 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 36.603 * [backup-simplify]: Simplify (+ 0) into 0 36.604 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 36.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 36.605 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 36.605 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 36.606 * [backup-simplify]: Simplify (- 0) into 0 36.606 * [backup-simplify]: Simplify (+ 0 0) into 0 36.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) into 0 36.609 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) into 0 36.611 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) 36.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))) into 0 36.614 * [backup-simplify]: Simplify 0 into 0 36.614 * [backup-simplify]: Simplify 0 into 0 36.615 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 36.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0 36.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0 36.620 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0 36.623 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 36.623 * [backup-simplify]: Simplify (+ 0) into 0 36.624 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 36.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 36.625 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 36.625 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 36.625 * [backup-simplify]: Simplify (- 0) into 0 36.626 * [backup-simplify]: Simplify (+ 0 0) into 0 36.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) into 0 36.627 * [backup-simplify]: Simplify 0 into 0 36.627 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 36.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 36.628 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 36.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 36.628 * [backup-simplify]: Simplify (+ 0 0) into 0 36.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 36.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 36.630 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 36.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0 36.634 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2) 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 6) into 0 36.636 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))))) into 0 36.637 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 36.639 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0 36.641 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))))) into 0 36.641 * [taylor]: Taking taylor expansion of 0 in a1 36.641 * [backup-simplify]: Simplify 0 into 0 36.641 * [taylor]: Taking taylor expansion of 0 in a2 36.641 * [backup-simplify]: Simplify 0 into 0 36.641 * [taylor]: Taking taylor expansion of 0 in a2 36.641 * [backup-simplify]: Simplify 0 into 0 36.641 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 36.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.642 * [backup-simplify]: Simplify (+ 0 0) into 0 36.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0 36.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 36.644 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 36.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0 36.650 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2) 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 6) into 0 36.651 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))))) into 0 36.653 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 36.654 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (+ (* 0 (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0 36.655 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 36.656 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 36.658 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 36.658 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 36.659 * [backup-simplify]: Simplify (- 0) into 0 36.659 * [backup-simplify]: Simplify (+ 0 0) into 0 36.663 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ 1 (pow a2 2))))) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3))))) into 0 36.663 * [taylor]: Taking taylor expansion of 0 in a2 36.663 * [backup-simplify]: Simplify 0 into 0 36.663 * [backup-simplify]: Simplify 0 into 0 36.664 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 36.665 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 36.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0 36.671 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0 36.672 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0 36.675 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 36.676 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 36.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 36.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 36.678 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 36.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 36.679 * [backup-simplify]: Simplify (- 0) into 0 36.679 * [backup-simplify]: Simplify (+ 0 0) into 0 36.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))) into 0 36.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))))) into 0 36.683 * [backup-simplify]: Simplify 0 into 0 36.683 * [backup-simplify]: Simplify 0 into 0 36.685 * [backup-simplify]: Simplify (* (* (cos (/ 1 (/ 1 th))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (* 1 (* (/ 1 (/ 1 a1)) 1))) into (* (* a1 (cos th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) 36.686 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))))) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) 36.686 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in (th a1 a2) around 0 36.686 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a2 36.686 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2 36.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2 36.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2 36.686 * [taylor]: Taking taylor expansion of 1/3 in a2 36.686 * [backup-simplify]: Simplify 1/3 into 1/3 36.686 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2 36.687 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2 36.687 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a2 36.687 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.687 * [taylor]: Taking taylor expansion of 2 in a2 36.687 * [backup-simplify]: Simplify 2 into 2 36.687 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.688 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.689 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.690 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.692 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.695 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.695 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2 36.695 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 36.695 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 36.695 * [taylor]: Taking taylor expansion of -1 in a2 36.695 * [backup-simplify]: Simplify -1 into -1 36.695 * [taylor]: Taking taylor expansion of th in a2 36.695 * [backup-simplify]: Simplify th into th 36.695 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 36.695 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 36.695 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 36.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 36.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 36.695 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 36.695 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.695 * [taylor]: Taking taylor expansion of a2 in a2 36.695 * [backup-simplify]: Simplify 0 into 0 36.695 * [backup-simplify]: Simplify 1 into 1 36.695 * [backup-simplify]: Simplify (* 1 1) into 1 36.695 * [backup-simplify]: Simplify (/ 1 1) into 1 36.695 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 36.695 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 36.695 * [taylor]: Taking taylor expansion of a1 in a2 36.695 * [backup-simplify]: Simplify a1 into a1 36.695 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.696 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 36.696 * [backup-simplify]: Simplify (+ 1 0) into 1 36.696 * [backup-simplify]: Simplify (sqrt 1) into 1 36.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.697 * [backup-simplify]: Simplify (+ 0 0) into 0 36.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.698 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1 36.698 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a1 36.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a1 36.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a1 36.698 * [taylor]: Taking taylor expansion of 1/3 in a1 36.698 * [backup-simplify]: Simplify 1/3 into 1/3 36.698 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a1 36.698 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a1 36.698 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a1 36.698 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 36.698 * [taylor]: Taking taylor expansion of 2 in a1 36.698 * [backup-simplify]: Simplify 2 into 2 36.698 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.699 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.700 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.701 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.703 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.706 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.706 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1 36.706 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 36.706 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 36.706 * [taylor]: Taking taylor expansion of -1 in a1 36.706 * [backup-simplify]: Simplify -1 into -1 36.706 * [taylor]: Taking taylor expansion of th in a1 36.706 * [backup-simplify]: Simplify th into th 36.706 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 36.706 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 36.706 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 36.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 36.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 36.706 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 36.706 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.706 * [taylor]: Taking taylor expansion of a2 in a1 36.706 * [backup-simplify]: Simplify a2 into a2 36.706 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.706 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.706 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 36.706 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.706 * [taylor]: Taking taylor expansion of a1 in a1 36.706 * [backup-simplify]: Simplify 0 into 0 36.706 * [backup-simplify]: Simplify 1 into 1 36.707 * [backup-simplify]: Simplify (* 1 1) into 1 36.707 * [backup-simplify]: Simplify (/ 1 1) into 1 36.707 * [backup-simplify]: Simplify (+ 0 1) into 1 36.707 * [backup-simplify]: Simplify (sqrt 1) into 1 36.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.708 * [backup-simplify]: Simplify (+ 0 0) into 0 36.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.709 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th 36.709 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in th 36.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in th 36.709 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in th 36.709 * [taylor]: Taking taylor expansion of 1/3 in th 36.709 * [backup-simplify]: Simplify 1/3 into 1/3 36.709 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in th 36.709 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in th 36.709 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in th 36.709 * [taylor]: Taking taylor expansion of (sqrt 2) in th 36.709 * [taylor]: Taking taylor expansion of 2 in th 36.709 * [backup-simplify]: Simplify 2 into 2 36.709 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.711 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.712 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.714 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.716 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.719 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.719 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th 36.719 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 36.719 * [taylor]: Taking taylor expansion of (/ -1 th) in th 36.719 * [taylor]: Taking taylor expansion of -1 in th 36.719 * [backup-simplify]: Simplify -1 into -1 36.719 * [taylor]: Taking taylor expansion of th in th 36.719 * [backup-simplify]: Simplify 0 into 0 36.719 * [backup-simplify]: Simplify 1 into 1 36.719 * [backup-simplify]: Simplify (/ -1 1) into -1 36.719 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 36.719 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 36.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 36.719 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 36.719 * [taylor]: Taking taylor expansion of (pow a2 2) in th 36.719 * [taylor]: Taking taylor expansion of a2 in th 36.719 * [backup-simplify]: Simplify a2 into a2 36.719 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.719 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.719 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 36.719 * [taylor]: Taking taylor expansion of (pow a1 2) in th 36.719 * [taylor]: Taking taylor expansion of a1 in th 36.719 * [backup-simplify]: Simplify a1 into a1 36.719 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.720 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 36.720 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 36.720 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 36.720 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 36.720 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 36.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 36.720 * [backup-simplify]: Simplify (+ 0 0) into 0 36.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 36.721 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th 36.721 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in th 36.721 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in th 36.721 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in th 36.721 * [taylor]: Taking taylor expansion of 1/3 in th 36.721 * [backup-simplify]: Simplify 1/3 into 1/3 36.721 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in th 36.721 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in th 36.721 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in th 36.721 * [taylor]: Taking taylor expansion of (sqrt 2) in th 36.721 * [taylor]: Taking taylor expansion of 2 in th 36.721 * [backup-simplify]: Simplify 2 into 2 36.721 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.722 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.723 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.724 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.726 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.729 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.729 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th 36.729 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 36.729 * [taylor]: Taking taylor expansion of (/ -1 th) in th 36.729 * [taylor]: Taking taylor expansion of -1 in th 36.729 * [backup-simplify]: Simplify -1 into -1 36.729 * [taylor]: Taking taylor expansion of th in th 36.729 * [backup-simplify]: Simplify 0 into 0 36.729 * [backup-simplify]: Simplify 1 into 1 36.729 * [backup-simplify]: Simplify (/ -1 1) into -1 36.729 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 36.729 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 36.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 36.729 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 36.729 * [taylor]: Taking taylor expansion of (pow a2 2) in th 36.729 * [taylor]: Taking taylor expansion of a2 in th 36.729 * [backup-simplify]: Simplify a2 into a2 36.729 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.729 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.729 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 36.729 * [taylor]: Taking taylor expansion of (pow a1 2) in th 36.729 * [taylor]: Taking taylor expansion of a1 in th 36.729 * [backup-simplify]: Simplify a1 into a1 36.729 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.729 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 36.730 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 36.730 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 36.730 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 36.730 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 36.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 36.730 * [backup-simplify]: Simplify (+ 0 0) into 0 36.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 36.731 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) 36.732 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into (* (cos (/ -1 th)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) 36.732 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1 36.732 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 36.732 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 36.732 * [taylor]: Taking taylor expansion of -1 in a1 36.732 * [backup-simplify]: Simplify -1 into -1 36.732 * [taylor]: Taking taylor expansion of th in a1 36.732 * [backup-simplify]: Simplify th into th 36.732 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 36.732 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 36.732 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 36.732 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1 36.732 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a1 36.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a1 36.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a1 36.732 * [taylor]: Taking taylor expansion of 1/3 in a1 36.732 * [backup-simplify]: Simplify 1/3 into 1/3 36.732 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a1 36.732 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a1 36.732 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a1 36.732 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 36.732 * [taylor]: Taking taylor expansion of 2 in a1 36.732 * [backup-simplify]: Simplify 2 into 2 36.733 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.734 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.735 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.736 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.738 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.740 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 36.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 36.740 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 36.740 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.740 * [taylor]: Taking taylor expansion of a2 in a1 36.740 * [backup-simplify]: Simplify a2 into a2 36.740 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.741 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.741 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 36.741 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.741 * [taylor]: Taking taylor expansion of a1 in a1 36.741 * [backup-simplify]: Simplify 0 into 0 36.741 * [backup-simplify]: Simplify 1 into 1 36.744 * [backup-simplify]: Simplify (* 1 1) into 1 36.744 * [backup-simplify]: Simplify (/ 1 1) into 1 36.745 * [backup-simplify]: Simplify (+ 0 1) into 1 36.745 * [backup-simplify]: Simplify (sqrt 1) into 1 36.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.747 * [backup-simplify]: Simplify (+ 0 0) into 0 36.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.748 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 36.748 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 36.748 * [backup-simplify]: Simplify (- 0) into 0 36.748 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 36.751 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 1) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.754 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th))) 36.754 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th))) in a2 36.754 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2 36.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2 36.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2 36.754 * [taylor]: Taking taylor expansion of 1/3 in a2 36.754 * [backup-simplify]: Simplify 1/3 into 1/3 36.754 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2 36.754 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2 36.754 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a2 36.754 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.754 * [taylor]: Taking taylor expansion of 2 in a2 36.754 * [backup-simplify]: Simplify 2 into 2 36.754 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.756 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.758 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.760 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.763 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.767 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.767 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 36.767 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 36.767 * [taylor]: Taking taylor expansion of -1 in a2 36.767 * [backup-simplify]: Simplify -1 into -1 36.767 * [taylor]: Taking taylor expansion of th in a2 36.768 * [backup-simplify]: Simplify th into th 36.768 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 36.768 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 36.768 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 36.768 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 36.769 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 36.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0 36.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0 36.774 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0 36.776 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 36.777 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (* 0 (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0 36.777 * [taylor]: Taking taylor expansion of 0 in a1 36.777 * [backup-simplify]: Simplify 0 into 0 36.778 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 36.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0 36.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0 36.783 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0 36.785 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 36.787 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (* 0 1)) into 0 36.787 * [backup-simplify]: Simplify (+ 0) into 0 36.788 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 36.788 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 36.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 36.790 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 36.790 * [backup-simplify]: Simplify (- 0) into 0 36.791 * [backup-simplify]: Simplify (+ 0 0) into 0 36.792 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) into 0 36.792 * [taylor]: Taking taylor expansion of 0 in a2 36.792 * [backup-simplify]: Simplify 0 into 0 36.792 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 36.792 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 36.793 * [backup-simplify]: Simplify (- 0) into 0 36.793 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 36.795 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th))) into (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) 36.797 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th))) 36.798 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 36.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 36.799 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 36.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 36.799 * [backup-simplify]: Simplify (+ 0 0) into 0 36.800 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 36.801 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0 36.802 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 36.803 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 36.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0 36.805 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0 36.806 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0 36.808 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 36.809 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0 36.809 * [taylor]: Taking taylor expansion of 0 in a1 36.809 * [backup-simplify]: Simplify 0 into 0 36.809 * [taylor]: Taking taylor expansion of 0 in a2 36.809 * [backup-simplify]: Simplify 0 into 0 36.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.810 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 36.811 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2)) 36.811 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 36.812 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 36.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0 36.815 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0 36.816 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0 36.817 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 36.819 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ 1 (pow a2 2)))) 36.819 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 36.820 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 36.820 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 36.821 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 36.821 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 36.821 * [backup-simplify]: Simplify (- 0) into 0 36.821 * [backup-simplify]: Simplify (+ 0 0) into 0 36.824 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ 1 (pow a2 2))))) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))) into (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ (cos (/ -1 th)) (pow a2 2)))) 36.824 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ (cos (/ -1 th)) (pow a2 2)))) in a2 36.824 * [taylor]: Taking taylor expansion of 1/2 in a2 36.824 * [backup-simplify]: Simplify 1/2 into 1/2 36.824 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ (cos (/ -1 th)) (pow a2 2))) in a2 36.824 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2 36.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2 36.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2 36.824 * [taylor]: Taking taylor expansion of 1/3 in a2 36.824 * [backup-simplify]: Simplify 1/3 into 1/3 36.824 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2 36.824 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2 36.824 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in a2 36.824 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.824 * [taylor]: Taking taylor expansion of 2 in a2 36.824 * [backup-simplify]: Simplify 2 into 2 36.824 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.825 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 36.826 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) 36.827 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2))) 36.829 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) 36.832 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 36.832 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in a2 36.832 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 36.832 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 36.832 * [taylor]: Taking taylor expansion of -1 in a2 36.832 * [backup-simplify]: Simplify -1 into -1 36.832 * [taylor]: Taking taylor expansion of th in a2 36.832 * [backup-simplify]: Simplify th into th 36.832 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 36.832 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 36.832 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 36.832 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.832 * [taylor]: Taking taylor expansion of a2 in a2 36.832 * [backup-simplify]: Simplify 0 into 0 36.832 * [backup-simplify]: Simplify 1 into 1 36.832 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 36.832 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 36.832 * [backup-simplify]: Simplify (- 0) into 0 36.832 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 36.833 * [backup-simplify]: Simplify (* 1 1) into 1 36.833 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th)) 36.833 * [backup-simplify]: Simplify (+ 0) into 0 36.833 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 36.833 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 36.834 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 36.834 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 36.835 * [backup-simplify]: Simplify (- 0) into 0 36.835 * [backup-simplify]: Simplify (+ 0 0) into 0 36.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) into 0 36.837 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 36.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0 36.841 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0 36.842 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0 36.844 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 36.845 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0 36.848 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th))) into (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) 36.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))) into 0 36.851 * [backup-simplify]: Simplify 0 into 0 36.851 * [backup-simplify]: Simplify 0 into 0 36.852 * [backup-simplify]: Simplify (+ 0) into 0 36.852 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 36.852 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 36.853 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 36.854 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 36.854 * [backup-simplify]: Simplify (- 0) into 0 36.854 * [backup-simplify]: Simplify (+ 0 0) into 0 36.855 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 36.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0 36.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0 36.860 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0 36.862 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 36.863 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0 36.863 * [backup-simplify]: Simplify 0 into 0 36.867 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 36.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 36.868 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 36.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 36.869 * [backup-simplify]: Simplify (+ 0 0) into 0 36.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 36.871 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0 36.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 36.873 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 36.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0 36.881 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2) 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 6) into 0 36.882 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))))) into 0 36.886 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 36.888 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))))) into 0 36.888 * [taylor]: Taking taylor expansion of 0 in a1 36.888 * [backup-simplify]: Simplify 0 into 0 36.888 * [taylor]: Taking taylor expansion of 0 in a2 36.888 * [backup-simplify]: Simplify 0 into 0 36.888 * [taylor]: Taking taylor expansion of 0 in a2 36.888 * [backup-simplify]: Simplify 0 into 0 36.888 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 36.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.891 * [backup-simplify]: Simplify (+ 0 0) into 0 36.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0 36.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 36.894 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 36.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0 36.902 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2) 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 6) into 0 36.904 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))))) into 0 36.907 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 36.908 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (+ (* 0 (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0 36.908 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 36.909 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.909 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 36.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 36.911 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 36.911 * [backup-simplify]: Simplify (- 0) into 0 36.911 * [backup-simplify]: Simplify (+ 0 0) into 0 36.913 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ 1 (pow a2 2))))) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3))))) into 0 36.914 * [taylor]: Taking taylor expansion of 0 in a2 36.914 * [backup-simplify]: Simplify 0 into 0 36.914 * [backup-simplify]: Simplify 0 into 0 36.914 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 36.915 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 36.915 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 36.915 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 36.916 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 36.916 * [backup-simplify]: Simplify (- 0) into 0 36.916 * [backup-simplify]: Simplify (+ 0 0) into 0 36.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.918 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 36.919 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 36.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0 36.921 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0 36.922 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0 36.924 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 36.925 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0 36.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))))) into 0 36.927 * [backup-simplify]: Simplify 0 into 0 36.927 * [backup-simplify]: Simplify 0 into 0 36.928 * [backup-simplify]: Simplify (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 (/ 1 (- th))))) (* 1 (* (/ 1 (/ 1 (- a1))) 1))) into (* -1 (* (* a1 (cos th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) 36.928 * * * * [progress]: [ 4 / 4 ] generating series at (2) 36.931 * [backup-simplify]: Simplify (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) 36.931 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in (th a1 a2) around 0 36.931 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in a2 36.931 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2 36.931 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 36.931 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.931 * [taylor]: Taking taylor expansion of a2 in a2 36.931 * [backup-simplify]: Simplify 0 into 0 36.931 * [backup-simplify]: Simplify 1 into 1 36.931 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 36.931 * [taylor]: Taking taylor expansion of a1 in a2 36.931 * [backup-simplify]: Simplify a1 into a1 36.931 * [taylor]: Taking taylor expansion of (cos th) in a2 36.931 * [taylor]: Taking taylor expansion of th in a2 36.931 * [backup-simplify]: Simplify th into th 36.931 * [backup-simplify]: Simplify (cos th) into (cos th) 36.931 * [backup-simplify]: Simplify (sin th) into (sin th) 36.931 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.931 * [taylor]: Taking taylor expansion of 2 in a2 36.931 * [backup-simplify]: Simplify 2 into 2 36.931 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.932 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.932 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2) 36.932 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 36.932 * [backup-simplify]: Simplify (* (sin th) 0) into 0 36.932 * [backup-simplify]: Simplify (- 0) into 0 36.932 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 36.932 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th)) 36.933 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 36.933 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in a1 36.933 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1 36.933 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 36.933 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.933 * [taylor]: Taking taylor expansion of a2 in a1 36.933 * [backup-simplify]: Simplify a2 into a2 36.933 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.933 * [taylor]: Taking taylor expansion of a1 in a1 36.933 * [backup-simplify]: Simplify 0 into 0 36.933 * [backup-simplify]: Simplify 1 into 1 36.933 * [taylor]: Taking taylor expansion of (cos th) in a1 36.933 * [taylor]: Taking taylor expansion of th in a1 36.933 * [backup-simplify]: Simplify th into th 36.933 * [backup-simplify]: Simplify (cos th) into (cos th) 36.933 * [backup-simplify]: Simplify (sin th) into (sin th) 36.933 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 36.933 * [taylor]: Taking taylor expansion of 2 in a1 36.933 * [backup-simplify]: Simplify 2 into 2 36.933 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.934 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.934 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 36.934 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 36.934 * [backup-simplify]: Simplify (* (sin th) 0) into 0 36.934 * [backup-simplify]: Simplify (- 0) into 0 36.934 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 36.935 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2)) 36.935 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 36.935 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in th 36.935 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th 36.935 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 36.935 * [taylor]: Taking taylor expansion of (pow a2 2) in th 36.935 * [taylor]: Taking taylor expansion of a2 in th 36.935 * [backup-simplify]: Simplify a2 into a2 36.935 * [taylor]: Taking taylor expansion of (pow a1 2) in th 36.935 * [taylor]: Taking taylor expansion of a1 in th 36.935 * [backup-simplify]: Simplify a1 into a1 36.935 * [taylor]: Taking taylor expansion of (cos th) in th 36.935 * [taylor]: Taking taylor expansion of th in th 36.935 * [backup-simplify]: Simplify 0 into 0 36.935 * [backup-simplify]: Simplify 1 into 1 36.935 * [taylor]: Taking taylor expansion of (sqrt 2) in th 36.935 * [taylor]: Taking taylor expansion of 2 in th 36.935 * [backup-simplify]: Simplify 2 into 2 36.935 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.936 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.936 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.936 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2)) 36.936 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2)) 36.936 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) 36.936 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2)) in th 36.937 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th 36.937 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 36.937 * [taylor]: Taking taylor expansion of (pow a2 2) in th 36.937 * [taylor]: Taking taylor expansion of a2 in th 36.937 * [backup-simplify]: Simplify a2 into a2 36.937 * [taylor]: Taking taylor expansion of (pow a1 2) in th 36.937 * [taylor]: Taking taylor expansion of a1 in th 36.937 * [backup-simplify]: Simplify a1 into a1 36.937 * [taylor]: Taking taylor expansion of (cos th) in th 36.937 * [taylor]: Taking taylor expansion of th in th 36.937 * [backup-simplify]: Simplify 0 into 0 36.937 * [backup-simplify]: Simplify 1 into 1 36.937 * [taylor]: Taking taylor expansion of (sqrt 2) in th 36.937 * [taylor]: Taking taylor expansion of 2 in th 36.937 * [backup-simplify]: Simplify 2 into 2 36.937 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.937 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.938 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.938 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2)) 36.938 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2)) 36.938 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) 36.938 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) in a1 36.938 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 36.938 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.938 * [taylor]: Taking taylor expansion of a2 in a1 36.938 * [backup-simplify]: Simplify a2 into a2 36.938 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.938 * [taylor]: Taking taylor expansion of a1 in a1 36.938 * [backup-simplify]: Simplify 0 into 0 36.938 * [backup-simplify]: Simplify 1 into 1 36.938 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 36.938 * [taylor]: Taking taylor expansion of 2 in a1 36.938 * [backup-simplify]: Simplify 2 into 2 36.939 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.939 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.939 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2) 36.939 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) 36.939 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 36.939 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.939 * [taylor]: Taking taylor expansion of a2 in a2 36.939 * [backup-simplify]: Simplify 0 into 0 36.939 * [backup-simplify]: Simplify 1 into 1 36.939 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.940 * [taylor]: Taking taylor expansion of 2 in a2 36.940 * [backup-simplify]: Simplify 2 into 2 36.940 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.940 * [backup-simplify]: Simplify (* 1 1) into 1 36.941 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 36.941 * [backup-simplify]: Simplify (+ 0) into 0 36.941 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.941 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 36.942 * [backup-simplify]: Simplify (+ 0 0) into 0 36.942 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) 0) (* 0 1)) into 0 36.943 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 36.943 * [taylor]: Taking taylor expansion of 0 in a1 36.943 * [backup-simplify]: Simplify 0 into 0 36.943 * [taylor]: Taking taylor expansion of 0 in a2 36.943 * [backup-simplify]: Simplify 0 into 0 36.943 * [backup-simplify]: Simplify 0 into 0 36.943 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.943 * [backup-simplify]: Simplify (+ 0 0) into 0 36.944 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 36.944 * [taylor]: Taking taylor expansion of 0 in a2 36.944 * [backup-simplify]: Simplify 0 into 0 36.944 * [backup-simplify]: Simplify 0 into 0 36.945 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 36.945 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 36.946 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 36.946 * [backup-simplify]: Simplify (+ 0 0) into 0 36.946 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/2 (pow a2 2)) (* 1/2 (pow a1 2)))) 36.947 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 36.948 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (pow a2 2)) (* 1/2 (pow a1 2)))) (sqrt 2)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) 36.948 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) in a1 36.948 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1 36.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a1 36.949 * [taylor]: Taking taylor expansion of 1/2 in a1 36.949 * [backup-simplify]: Simplify 1/2 into 1/2 36.949 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a1 36.949 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.949 * [taylor]: Taking taylor expansion of a2 in a1 36.949 * [backup-simplify]: Simplify a2 into a2 36.949 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 36.949 * [taylor]: Taking taylor expansion of 2 in a1 36.949 * [backup-simplify]: Simplify 2 into 2 36.949 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.949 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.950 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) 36.950 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1 36.950 * [taylor]: Taking taylor expansion of 1/2 in a1 36.950 * [backup-simplify]: Simplify 1/2 into 1/2 36.950 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 36.950 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.950 * [taylor]: Taking taylor expansion of a1 in a1 36.950 * [backup-simplify]: Simplify 0 into 0 36.950 * [backup-simplify]: Simplify 1 into 1 36.950 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 36.950 * [taylor]: Taking taylor expansion of 2 in a1 36.950 * [backup-simplify]: Simplify 2 into 2 36.950 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.951 * [backup-simplify]: Simplify (* 1 1) into 1 36.951 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 36.952 * [backup-simplify]: Simplify (* 1/2 (/ (pow a2 2) (sqrt 2))) into (* 1/2 (/ (pow a2 2) (sqrt 2))) 36.952 * [backup-simplify]: Simplify (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) 0) into (* 1/2 (/ (pow a2 2) (sqrt 2))) 36.952 * [backup-simplify]: Simplify (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) 36.952 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2 36.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2 36.952 * [taylor]: Taking taylor expansion of 1/2 in a2 36.952 * [backup-simplify]: Simplify 1/2 into 1/2 36.952 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 36.952 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.952 * [taylor]: Taking taylor expansion of a2 in a2 36.952 * [backup-simplify]: Simplify 0 into 0 36.952 * [backup-simplify]: Simplify 1 into 1 36.952 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.952 * [taylor]: Taking taylor expansion of 2 in a2 36.952 * [backup-simplify]: Simplify 2 into 2 36.953 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.953 * [backup-simplify]: Simplify (* 1 1) into 1 36.954 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 36.954 * [taylor]: Taking taylor expansion of 0 in a2 36.954 * [backup-simplify]: Simplify 0 into 0 36.954 * [backup-simplify]: Simplify 0 into 0 36.954 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 36.954 * [backup-simplify]: Simplify (* 1 1) into 1 36.955 * [backup-simplify]: Simplify (+ 0 1) into 1 36.955 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 36.957 * [backup-simplify]: Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2)) 36.957 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2)) in a2 36.957 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.957 * [taylor]: Taking taylor expansion of 2 in a2 36.957 * [backup-simplify]: Simplify 2 into 2 36.957 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.958 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 36.959 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 36.959 * [backup-simplify]: Simplify 0 into 0 36.959 * [backup-simplify]: Simplify 0 into 0 36.960 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 36.962 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 36.962 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 36.963 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 36.964 * [backup-simplify]: Simplify (+ 0 0) into 0 36.965 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 36.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 36.970 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) (/ 0 (sqrt 2))))) into 0 36.970 * [taylor]: Taking taylor expansion of 0 in a1 36.970 * [backup-simplify]: Simplify 0 into 0 36.970 * [taylor]: Taking taylor expansion of 0 in a2 36.970 * [backup-simplify]: Simplify 0 into 0 36.970 * [backup-simplify]: Simplify 0 into 0 36.970 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 36.971 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 36.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (pow a2 2) (sqrt 2)))) into 0 36.973 * [backup-simplify]: Simplify (+ 0 0) into 0 36.973 * [backup-simplify]: Simplify (- 0) into 0 36.973 * [taylor]: Taking taylor expansion of 0 in a2 36.973 * [backup-simplify]: Simplify 0 into 0 36.973 * [backup-simplify]: Simplify 0 into 0 36.973 * [taylor]: Taking taylor expansion of 0 in a2 36.973 * [backup-simplify]: Simplify 0 into 0 36.973 * [backup-simplify]: Simplify 0 into 0 36.974 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 36.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.975 * [backup-simplify]: Simplify (+ 0 0) into 0 36.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 36.982 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 36.982 * [taylor]: Taking taylor expansion of 0 in a2 36.982 * [backup-simplify]: Simplify 0 into 0 36.982 * [backup-simplify]: Simplify 0 into 0 36.982 * [backup-simplify]: Simplify 0 into 0 36.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 36.983 * [backup-simplify]: Simplify 0 into 0 36.986 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2)) (pow (* a2 (* 1 1)) 2)) (* (/ 1 (sqrt 2)) (pow (* 1 (* a1 1)) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))) 36.990 * [backup-simplify]: Simplify (/ (/ (cos (/ 1 th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 36.990 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in (th a1 a2) around 0 36.990 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a2 36.990 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 36.990 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 36.990 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 36.990 * [taylor]: Taking taylor expansion of th in a2 36.990 * [backup-simplify]: Simplify th into th 36.990 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 36.990 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 36.990 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 36.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 36.990 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 36.990 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 36.990 * [taylor]: Taking taylor expansion of a2 in a2 36.990 * [backup-simplify]: Simplify 0 into 0 36.990 * [backup-simplify]: Simplify 1 into 1 36.991 * [backup-simplify]: Simplify (* 1 1) into 1 36.991 * [backup-simplify]: Simplify (/ 1 1) into 1 36.991 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 36.991 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 36.991 * [taylor]: Taking taylor expansion of a1 in a2 36.991 * [backup-simplify]: Simplify a1 into a1 36.991 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.991 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 36.991 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 36.991 * [taylor]: Taking taylor expansion of 2 in a2 36.991 * [backup-simplify]: Simplify 2 into 2 36.992 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.993 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 36.993 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 36.993 * [backup-simplify]: Simplify (- 0) into 0 36.993 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 36.994 * [backup-simplify]: Simplify (+ 1 0) into 1 36.994 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 36.994 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 36.994 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1 36.994 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 36.994 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 36.994 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 36.994 * [taylor]: Taking taylor expansion of th in a1 36.994 * [backup-simplify]: Simplify th into th 36.994 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 36.994 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 36.994 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 36.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 36.994 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 36.994 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 36.994 * [taylor]: Taking taylor expansion of a2 in a1 36.994 * [backup-simplify]: Simplify a2 into a2 36.994 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.994 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.994 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 36.994 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 36.994 * [taylor]: Taking taylor expansion of a1 in a1 36.994 * [backup-simplify]: Simplify 0 into 0 36.995 * [backup-simplify]: Simplify 1 into 1 36.995 * [backup-simplify]: Simplify (* 1 1) into 1 36.995 * [backup-simplify]: Simplify (/ 1 1) into 1 36.995 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 36.995 * [taylor]: Taking taylor expansion of 2 in a1 36.995 * [backup-simplify]: Simplify 2 into 2 36.995 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.996 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 36.996 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 36.996 * [backup-simplify]: Simplify (- 0) into 0 36.996 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 36.996 * [backup-simplify]: Simplify (+ 0 1) into 1 36.996 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 36.997 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 36.997 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in th 36.997 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 36.997 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 36.997 * [taylor]: Taking taylor expansion of (/ 1 th) in th 36.997 * [taylor]: Taking taylor expansion of th in th 36.997 * [backup-simplify]: Simplify 0 into 0 36.997 * [backup-simplify]: Simplify 1 into 1 36.997 * [backup-simplify]: Simplify (/ 1 1) into 1 36.997 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 36.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 36.997 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 36.997 * [taylor]: Taking taylor expansion of (pow a2 2) in th 36.997 * [taylor]: Taking taylor expansion of a2 in th 36.997 * [backup-simplify]: Simplify a2 into a2 36.997 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.997 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.997 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 36.997 * [taylor]: Taking taylor expansion of (pow a1 2) in th 36.997 * [taylor]: Taking taylor expansion of a1 in th 36.997 * [backup-simplify]: Simplify a1 into a1 36.997 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.997 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 36.997 * [taylor]: Taking taylor expansion of (sqrt 2) in th 36.997 * [taylor]: Taking taylor expansion of 2 in th 36.997 * [backup-simplify]: Simplify 2 into 2 36.998 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 36.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 36.998 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 36.998 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 36.999 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 36.999 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in th 36.999 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 36.999 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 36.999 * [taylor]: Taking taylor expansion of (/ 1 th) in th 36.999 * [taylor]: Taking taylor expansion of th in th 36.999 * [backup-simplify]: Simplify 0 into 0 36.999 * [backup-simplify]: Simplify 1 into 1 36.999 * [backup-simplify]: Simplify (/ 1 1) into 1 36.999 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 36.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 36.999 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 36.999 * [taylor]: Taking taylor expansion of (pow a2 2) in th 36.999 * [taylor]: Taking taylor expansion of a2 in th 36.999 * [backup-simplify]: Simplify a2 into a2 36.999 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 36.999 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 36.999 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 36.999 * [taylor]: Taking taylor expansion of (pow a1 2) in th 36.999 * [taylor]: Taking taylor expansion of a1 in th 36.999 * [backup-simplify]: Simplify a1 into a1 36.999 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 36.999 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 36.999 * [taylor]: Taking taylor expansion of (sqrt 2) in th 36.999 * [taylor]: Taking taylor expansion of 2 in th 37.000 * [backup-simplify]: Simplify 2 into 2 37.000 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 37.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 37.000 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 37.000 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 37.001 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 37.001 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1 37.001 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 37.001 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 37.001 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 37.001 * [taylor]: Taking taylor expansion of th in a1 37.001 * [backup-simplify]: Simplify th into th 37.001 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 37.001 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 37.001 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 37.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 37.001 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 37.001 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 37.001 * [taylor]: Taking taylor expansion of a2 in a1 37.001 * [backup-simplify]: Simplify a2 into a2 37.001 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 37.001 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 37.001 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 37.001 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 37.001 * [taylor]: Taking taylor expansion of a1 in a1 37.001 * [backup-simplify]: Simplify 0 into 0 37.001 * [backup-simplify]: Simplify 1 into 1 37.002 * [backup-simplify]: Simplify (* 1 1) into 1 37.002 * [backup-simplify]: Simplify (/ 1 1) into 1 37.002 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 37.002 * [taylor]: Taking taylor expansion of 2 in a1 37.002 * [backup-simplify]: Simplify 2 into 2 37.002 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 37.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 37.003 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 37.003 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 37.003 * [backup-simplify]: Simplify (- 0) into 0 37.003 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 37.003 * [backup-simplify]: Simplify (+ 0 1) into 1 37.003 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 37.003 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 37.003 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2 37.004 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 37.004 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 37.004 * [taylor]: Taking taylor expansion of th in a2 37.004 * [backup-simplify]: Simplify th into th 37.004 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 37.004 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 37.004 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 37.004 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 37.004 * [taylor]: Taking taylor expansion of 2 in a2 37.004 * [backup-simplify]: Simplify 2 into 2 37.004 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 37.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 37.004 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 37.004 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 37.005 * [backup-simplify]: Simplify (- 0) into 0 37.005 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 37.005 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 37.005 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 37.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 37.005 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 37.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 37.006 * [backup-simplify]: Simplify (+ 0 0) into 0 37.006 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0 37.007 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 37.007 * [taylor]: Taking taylor expansion of 0 in a1 37.007 * [backup-simplify]: Simplify 0 into 0 37.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.008 * [backup-simplify]: Simplify (+ 0 0) into 0 37.008 * [backup-simplify]: Simplify (+ 0) into 0 37.008 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 37.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 37.009 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.009 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 37.009 * [backup-simplify]: Simplify (- 0) into 0 37.010 * [backup-simplify]: Simplify (+ 0 0) into 0 37.010 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 37.011 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 37.011 * [taylor]: Taking taylor expansion of 0 in a2 37.011 * [backup-simplify]: Simplify 0 into 0 37.011 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 37.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 37.012 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 37.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 37.012 * [backup-simplify]: Simplify (+ 0 0) into 0 37.013 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 37.013 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 37.015 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 37.015 * [taylor]: Taking taylor expansion of 0 in a1 37.015 * [backup-simplify]: Simplify 0 into 0 37.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.016 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 37.016 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.017 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 37.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 37.017 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.018 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 37.018 * [backup-simplify]: Simplify (- 0) into 0 37.018 * [backup-simplify]: Simplify (+ 0 0) into 0 37.019 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2)) 37.019 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 37.021 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 37.021 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2 37.021 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 37.021 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 37.021 * [taylor]: Taking taylor expansion of th in a2 37.021 * [backup-simplify]: Simplify th into th 37.021 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 37.021 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 37.021 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 37.021 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 37.021 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 37.021 * [taylor]: Taking taylor expansion of 2 in a2 37.021 * [backup-simplify]: Simplify 2 into 2 37.021 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 37.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 37.022 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 37.022 * [taylor]: Taking taylor expansion of a2 in a2 37.022 * [backup-simplify]: Simplify 0 into 0 37.022 * [backup-simplify]: Simplify 1 into 1 37.022 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 37.022 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 37.022 * [backup-simplify]: Simplify (- 0) into 0 37.022 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 37.023 * [backup-simplify]: Simplify (* 1 1) into 1 37.023 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 37.024 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 37.024 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 37.025 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 37.026 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 37.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 37.027 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 37.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 37.027 * [backup-simplify]: Simplify (+ 0 0) into 0 37.028 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0 37.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 37.032 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 37.033 * [taylor]: Taking taylor expansion of 0 in a1 37.033 * [backup-simplify]: Simplify 0 into 0 37.033 * [taylor]: Taking taylor expansion of 0 in a2 37.033 * [backup-simplify]: Simplify 0 into 0 37.033 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 37.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 37.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.035 * [backup-simplify]: Simplify (+ 0 0) into 0 37.036 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.037 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 37.039 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.039 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.040 * [backup-simplify]: Simplify (- 0) into 0 37.040 * [backup-simplify]: Simplify (+ 0 0) into 0 37.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0 37.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 37.046 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0 37.046 * [taylor]: Taking taylor expansion of 0 in a2 37.046 * [backup-simplify]: Simplify 0 into 0 37.046 * [backup-simplify]: Simplify (+ 0) into 0 37.047 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 37.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 37.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.048 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 37.048 * [backup-simplify]: Simplify (- 0) into 0 37.049 * [backup-simplify]: Simplify (+ 0 0) into 0 37.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.050 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 37.052 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 37.052 * [backup-simplify]: Simplify 0 into 0 37.052 * [backup-simplify]: Simplify 0 into 0 37.052 * [backup-simplify]: Simplify (+ 0) into 0 37.053 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 37.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 37.054 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.054 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 37.054 * [backup-simplify]: Simplify (- 0) into 0 37.055 * [backup-simplify]: Simplify (+ 0 0) into 0 37.056 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 37.056 * [backup-simplify]: Simplify 0 into 0 37.057 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 37.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 37.058 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 37.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 37.059 * [backup-simplify]: Simplify (+ 0 0) into 0 37.060 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0 37.061 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 37.063 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 37.063 * [taylor]: Taking taylor expansion of 0 in a1 37.063 * [backup-simplify]: Simplify 0 into 0 37.063 * [taylor]: Taking taylor expansion of 0 in a2 37.063 * [backup-simplify]: Simplify 0 into 0 37.063 * [taylor]: Taking taylor expansion of 0 in a2 37.063 * [backup-simplify]: Simplify 0 into 0 37.063 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 37.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 37.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.065 * [backup-simplify]: Simplify (+ 0 0) into 0 37.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 37.067 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 37.068 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 37.069 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 37.069 * [backup-simplify]: Simplify (- 0) into 0 37.069 * [backup-simplify]: Simplify (+ 0 0) into 0 37.070 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0 37.071 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 37.073 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 37.073 * [taylor]: Taking taylor expansion of 0 in a2 37.073 * [backup-simplify]: Simplify 0 into 0 37.074 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 37.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 37.075 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.075 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 37.075 * [backup-simplify]: Simplify (- 0) into 0 37.076 * [backup-simplify]: Simplify (+ 0 0) into 0 37.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.077 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 37.077 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 37.079 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 37.079 * [backup-simplify]: Simplify 0 into 0 37.079 * [backup-simplify]: Simplify 0 into 0 37.079 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.080 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 37.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 37.080 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.081 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 37.081 * [backup-simplify]: Simplify (- 0) into 0 37.081 * [backup-simplify]: Simplify (+ 0 0) into 0 37.082 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 37.083 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 37.083 * [backup-simplify]: Simplify 0 into 0 37.084 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) 37.089 * [backup-simplify]: Simplify (/ (/ (cos (/ 1 (- th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 37.089 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in (th a1 a2) around 0 37.089 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a2 37.089 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 37.089 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 37.089 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 37.089 * [taylor]: Taking taylor expansion of -1 in a2 37.089 * [backup-simplify]: Simplify -1 into -1 37.089 * [taylor]: Taking taylor expansion of th in a2 37.089 * [backup-simplify]: Simplify th into th 37.089 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 37.089 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 37.089 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 37.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 37.089 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 37.089 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 37.089 * [taylor]: Taking taylor expansion of a2 in a2 37.089 * [backup-simplify]: Simplify 0 into 0 37.089 * [backup-simplify]: Simplify 1 into 1 37.090 * [backup-simplify]: Simplify (* 1 1) into 1 37.090 * [backup-simplify]: Simplify (/ 1 1) into 1 37.090 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 37.090 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 37.090 * [taylor]: Taking taylor expansion of a1 in a2 37.090 * [backup-simplify]: Simplify a1 into a1 37.090 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 37.090 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 37.090 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 37.090 * [taylor]: Taking taylor expansion of 2 in a2 37.090 * [backup-simplify]: Simplify 2 into 2 37.090 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 37.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 37.091 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 37.091 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 37.091 * [backup-simplify]: Simplify (- 0) into 0 37.091 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 37.092 * [backup-simplify]: Simplify (+ 1 0) into 1 37.092 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 37.092 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 37.092 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1 37.092 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 37.092 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 37.092 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 37.092 * [taylor]: Taking taylor expansion of -1 in a1 37.092 * [backup-simplify]: Simplify -1 into -1 37.092 * [taylor]: Taking taylor expansion of th in a1 37.092 * [backup-simplify]: Simplify th into th 37.092 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 37.092 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 37.092 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 37.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 37.092 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 37.092 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 37.092 * [taylor]: Taking taylor expansion of a2 in a1 37.092 * [backup-simplify]: Simplify a2 into a2 37.092 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 37.092 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 37.092 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 37.092 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 37.092 * [taylor]: Taking taylor expansion of a1 in a1 37.092 * [backup-simplify]: Simplify 0 into 0 37.093 * [backup-simplify]: Simplify 1 into 1 37.093 * [backup-simplify]: Simplify (* 1 1) into 1 37.093 * [backup-simplify]: Simplify (/ 1 1) into 1 37.093 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 37.093 * [taylor]: Taking taylor expansion of 2 in a1 37.093 * [backup-simplify]: Simplify 2 into 2 37.093 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 37.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 37.094 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 37.094 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 37.094 * [backup-simplify]: Simplify (- 0) into 0 37.094 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 37.094 * [backup-simplify]: Simplify (+ 0 1) into 1 37.094 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 37.095 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 37.095 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in th 37.095 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 37.095 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 37.095 * [taylor]: Taking taylor expansion of (/ -1 th) in th 37.095 * [taylor]: Taking taylor expansion of -1 in th 37.095 * [backup-simplify]: Simplify -1 into -1 37.095 * [taylor]: Taking taylor expansion of th in th 37.095 * [backup-simplify]: Simplify 0 into 0 37.095 * [backup-simplify]: Simplify 1 into 1 37.095 * [backup-simplify]: Simplify (/ -1 1) into -1 37.095 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 37.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 37.095 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 37.095 * [taylor]: Taking taylor expansion of (pow a2 2) in th 37.095 * [taylor]: Taking taylor expansion of a2 in th 37.095 * [backup-simplify]: Simplify a2 into a2 37.095 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 37.095 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 37.095 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 37.095 * [taylor]: Taking taylor expansion of (pow a1 2) in th 37.095 * [taylor]: Taking taylor expansion of a1 in th 37.095 * [backup-simplify]: Simplify a1 into a1 37.095 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 37.096 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 37.096 * [taylor]: Taking taylor expansion of (sqrt 2) in th 37.096 * [taylor]: Taking taylor expansion of 2 in th 37.096 * [backup-simplify]: Simplify 2 into 2 37.096 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 37.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 37.096 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 37.096 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 37.097 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 37.097 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in th 37.097 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 37.097 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 37.097 * [taylor]: Taking taylor expansion of (/ -1 th) in th 37.097 * [taylor]: Taking taylor expansion of -1 in th 37.097 * [backup-simplify]: Simplify -1 into -1 37.097 * [taylor]: Taking taylor expansion of th in th 37.097 * [backup-simplify]: Simplify 0 into 0 37.097 * [backup-simplify]: Simplify 1 into 1 37.097 * [backup-simplify]: Simplify (/ -1 1) into -1 37.097 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 37.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 37.097 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 37.097 * [taylor]: Taking taylor expansion of (pow a2 2) in th 37.097 * [taylor]: Taking taylor expansion of a2 in th 37.097 * [backup-simplify]: Simplify a2 into a2 37.097 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 37.097 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 37.098 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 37.098 * [taylor]: Taking taylor expansion of (pow a1 2) in th 37.098 * [taylor]: Taking taylor expansion of a1 in th 37.098 * [backup-simplify]: Simplify a1 into a1 37.098 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 37.098 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2)) 37.098 * [taylor]: Taking taylor expansion of (sqrt 2) in th 37.098 * [taylor]: Taking taylor expansion of 2 in th 37.098 * [backup-simplify]: Simplify 2 into 2 37.098 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 37.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 37.098 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) 37.099 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 37.099 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) 37.099 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1 37.099 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 37.099 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 37.099 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 37.099 * [taylor]: Taking taylor expansion of -1 in a1 37.099 * [backup-simplify]: Simplify -1 into -1 37.099 * [taylor]: Taking taylor expansion of th in a1 37.099 * [backup-simplify]: Simplify th into th 37.099 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 37.099 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 37.099 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 37.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 37.099 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 37.099 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 37.099 * [taylor]: Taking taylor expansion of a2 in a1 37.099 * [backup-simplify]: Simplify a2 into a2 37.099 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 37.099 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2)) 37.100 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 37.100 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 37.100 * [taylor]: Taking taylor expansion of a1 in a1 37.100 * [backup-simplify]: Simplify 0 into 0 37.100 * [backup-simplify]: Simplify 1 into 1 37.100 * [backup-simplify]: Simplify (* 1 1) into 1 37.100 * [backup-simplify]: Simplify (/ 1 1) into 1 37.100 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 37.100 * [taylor]: Taking taylor expansion of 2 in a1 37.100 * [backup-simplify]: Simplify 2 into 2 37.100 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 37.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 37.101 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 37.101 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 37.101 * [backup-simplify]: Simplify (- 0) into 0 37.101 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 37.101 * [backup-simplify]: Simplify (+ 0 1) into 1 37.101 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 37.102 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 37.102 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in a2 37.102 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 37.102 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 37.102 * [taylor]: Taking taylor expansion of -1 in a2 37.102 * [backup-simplify]: Simplify -1 into -1 37.102 * [taylor]: Taking taylor expansion of th in a2 37.102 * [backup-simplify]: Simplify th into th 37.102 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 37.102 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 37.102 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 37.102 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 37.102 * [taylor]: Taking taylor expansion of 2 in a2 37.102 * [backup-simplify]: Simplify 2 into 2 37.102 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 37.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 37.103 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 37.103 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 37.103 * [backup-simplify]: Simplify (- 0) into 0 37.103 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 37.103 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 37.103 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 37.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 37.104 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 37.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0 37.104 * [backup-simplify]: Simplify (+ 0 0) into 0 37.104 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0 37.105 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 37.105 * [taylor]: Taking taylor expansion of 0 in a1 37.105 * [backup-simplify]: Simplify 0 into 0 37.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.106 * [backup-simplify]: Simplify (+ 0 0) into 0 37.107 * [backup-simplify]: Simplify (+ 0) into 0 37.107 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 37.107 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 37.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.109 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 37.109 * [backup-simplify]: Simplify (- 0) into 0 37.109 * [backup-simplify]: Simplify (+ 0 0) into 0 37.110 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 37.111 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 37.111 * [taylor]: Taking taylor expansion of 0 in a2 37.111 * [backup-simplify]: Simplify 0 into 0 37.112 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 37.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 37.112 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 37.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 37.113 * [backup-simplify]: Simplify (+ 0 0) into 0 37.114 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0 37.115 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 37.117 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 37.117 * [taylor]: Taking taylor expansion of 0 in a1 37.117 * [backup-simplify]: Simplify 0 into 0 37.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.119 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2)) 37.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.120 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 37.120 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 37.121 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.122 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 37.122 * [backup-simplify]: Simplify (- 0) into 0 37.122 * [backup-simplify]: Simplify (+ 0 0) into 0 37.123 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2)) 37.124 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 37.126 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 37.126 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2 37.126 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 37.126 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 37.126 * [taylor]: Taking taylor expansion of -1 in a2 37.126 * [backup-simplify]: Simplify -1 into -1 37.126 * [taylor]: Taking taylor expansion of th in a2 37.126 * [backup-simplify]: Simplify th into th 37.126 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 37.126 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 37.126 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 37.126 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 37.126 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 37.126 * [taylor]: Taking taylor expansion of 2 in a2 37.126 * [backup-simplify]: Simplify 2 into 2 37.127 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 37.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 37.127 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 37.127 * [taylor]: Taking taylor expansion of a2 in a2 37.127 * [backup-simplify]: Simplify 0 into 0 37.127 * [backup-simplify]: Simplify 1 into 1 37.127 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 37.128 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 37.128 * [backup-simplify]: Simplify (- 0) into 0 37.128 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 37.128 * [backup-simplify]: Simplify (* 1 1) into 1 37.129 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 37.129 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 37.130 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 37.130 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 37.131 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 37.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 37.132 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 37.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 37.133 * [backup-simplify]: Simplify (+ 0 0) into 0 37.134 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0 37.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 37.138 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 37.138 * [taylor]: Taking taylor expansion of 0 in a1 37.138 * [backup-simplify]: Simplify 0 into 0 37.138 * [taylor]: Taking taylor expansion of 0 in a2 37.138 * [backup-simplify]: Simplify 0 into 0 37.138 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 37.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0 37.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.140 * [backup-simplify]: Simplify (+ 0 0) into 0 37.141 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.142 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.142 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 37.144 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.145 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.145 * [backup-simplify]: Simplify (- 0) into 0 37.145 * [backup-simplify]: Simplify (+ 0 0) into 0 37.146 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0 37.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 37.150 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0 37.150 * [taylor]: Taking taylor expansion of 0 in a2 37.150 * [backup-simplify]: Simplify 0 into 0 37.151 * [backup-simplify]: Simplify (+ 0) into 0 37.151 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 37.151 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 37.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.152 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 37.152 * [backup-simplify]: Simplify (- 0) into 0 37.152 * [backup-simplify]: Simplify (+ 0 0) into 0 37.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.153 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 37.154 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 37.154 * [backup-simplify]: Simplify 0 into 0 37.154 * [backup-simplify]: Simplify 0 into 0 37.154 * [backup-simplify]: Simplify (+ 0) into 0 37.155 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 37.155 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 37.155 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 37.156 * [backup-simplify]: Simplify (- 0) into 0 37.156 * [backup-simplify]: Simplify (+ 0 0) into 0 37.157 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 37.157 * [backup-simplify]: Simplify 0 into 0 37.158 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 37.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 37.159 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 37.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0 37.159 * [backup-simplify]: Simplify (+ 0 0) into 0 37.160 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0 37.161 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 37.163 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 37.163 * [taylor]: Taking taylor expansion of 0 in a1 37.163 * [backup-simplify]: Simplify 0 into 0 37.163 * [taylor]: Taking taylor expansion of 0 in a2 37.163 * [backup-simplify]: Simplify 0 into 0 37.163 * [taylor]: Taking taylor expansion of 0 in a2 37.163 * [backup-simplify]: Simplify 0 into 0 37.163 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 37.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0 37.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.165 * [backup-simplify]: Simplify (+ 0 0) into 0 37.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 37.167 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.167 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 37.168 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 37.168 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 37.168 * [backup-simplify]: Simplify (- 0) into 0 37.169 * [backup-simplify]: Simplify (+ 0 0) into 0 37.169 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0 37.170 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 37.173 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 37.173 * [taylor]: Taking taylor expansion of 0 in a2 37.173 * [backup-simplify]: Simplify 0 into 0 37.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.174 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 37.174 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 37.174 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.175 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 37.175 * [backup-simplify]: Simplify (- 0) into 0 37.175 * [backup-simplify]: Simplify (+ 0 0) into 0 37.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.176 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 37.177 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 37.178 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 37.178 * [backup-simplify]: Simplify 0 into 0 37.178 * [backup-simplify]: Simplify 0 into 0 37.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.179 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 37.179 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 37.180 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.180 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 37.180 * [backup-simplify]: Simplify (- 0) into 0 37.181 * [backup-simplify]: Simplify (+ 0 0) into 0 37.181 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 37.183 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 37.183 * [backup-simplify]: Simplify 0 into 0 37.184 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) 37.184 * * * [progress]: simplifying candidates 37.184 * * * * [progress]: [ 1 / 2703 ] simplifiying candidate # 37.184 * * * * [progress]: [ 2 / 2703 ] simplifiying candidate # 37.184 * * * * [progress]: [ 3 / 2703 ] simplifiying candidate # 37.184 * [simplify]: Simplifying (log (sqrt (+ (* a1 a1) (* a2 a2)))) 37.184 * * [simplify]: iters left: 6 (7 enodes) 37.186 * * [simplify]: iters left: 5 (22 enodes) 37.189 * * [simplify]: Extracting #0: cost 1 inf + 0 37.189 * * [simplify]: Extracting #1: cost 3 inf + 0 37.189 * * [simplify]: Extracting #2: cost 5 inf + 0 37.189 * * [simplify]: Extracting #3: cost 8 inf + 0 37.189 * * [simplify]: Extracting #4: cost 12 inf + 0 37.189 * * [simplify]: Extracting #5: cost 10 inf + 2 37.189 * * [simplify]: Extracting #6: cost 1 inf + 966 37.189 * * [simplify]: Extracting #7: cost 0 inf + 1198 37.190 * [simplify]: Simplified to (log (sqrt (+ (* a1 a1) (* a2 a2)))) 37.190 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (exp (log (sqrt (+ (* a1 a1) (* a2 a2)))))))) 37.190 * * * * [progress]: [ 4 / 2703 ] simplifiying candidate # 37.190 * [simplify]: Simplifying (exp (sqrt (+ (* a1 a1) (* a2 a2)))) 37.190 * * [simplify]: iters left: 6 (7 enodes) 37.191 * * [simplify]: iters left: 5 (22 enodes) 37.194 * * [simplify]: Extracting #0: cost 1 inf + 0 37.194 * * [simplify]: Extracting #1: cost 3 inf + 0 37.194 * * [simplify]: Extracting #2: cost 5 inf + 0 37.195 * * [simplify]: Extracting #3: cost 8 inf + 0 37.195 * * [simplify]: Extracting #4: cost 12 inf + 0 37.195 * * [simplify]: Extracting #5: cost 10 inf + 2 37.195 * * [simplify]: Extracting #6: cost 1 inf + 966 37.195 * * [simplify]: Extracting #7: cost 0 inf + 1198 37.195 * [simplify]: Simplified to (exp (sqrt (+ (* a1 a1) (* a2 a2)))) 37.195 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (log (exp (sqrt (+ (* a1 a1) (* a2 a2)))))))) 37.195 * * * * [progress]: [ 5 / 2703 ] simplifiying candidate # 37.195 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) 37.196 * * [simplify]: iters left: 6 (8 enodes) 37.199 * * [simplify]: iters left: 5 (25 enodes) 37.203 * * [simplify]: Extracting #0: cost 1 inf + 0 37.203 * * [simplify]: Extracting #1: cost 3 inf + 0 37.203 * * [simplify]: Extracting #2: cost 5 inf + 0 37.203 * * [simplify]: Extracting #3: cost 7 inf + 0 37.203 * * [simplify]: Extracting #4: cost 10 inf + 0 37.203 * * [simplify]: Extracting #5: cost 14 inf + 0 37.203 * * [simplify]: Extracting #6: cost 11 inf + 43 37.203 * * [simplify]: Extracting #7: cost 9 inf + 125 37.203 * * [simplify]: Extracting #8: cost 5 inf + 572 37.204 * * [simplify]: Extracting #9: cost 1 inf + 1500 37.204 * * [simplify]: Extracting #10: cost 0 inf + 1782 37.204 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) 37.204 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 37.204 * [simplify]: Simplifying (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) 37.205 * * [simplify]: iters left: 6 (7 enodes) 37.206 * * [simplify]: iters left: 5 (22 enodes) 37.213 * * [simplify]: Extracting #0: cost 1 inf + 0 37.213 * * [simplify]: Extracting #1: cost 3 inf + 0 37.213 * * [simplify]: Extracting #2: cost 5 inf + 0 37.213 * * [simplify]: Extracting #3: cost 8 inf + 0 37.213 * * [simplify]: Extracting #4: cost 12 inf + 0 37.213 * * [simplify]: Extracting #5: cost 10 inf + 2 37.213 * * [simplify]: Extracting #6: cost 1 inf + 976 37.214 * * [simplify]: Extracting #7: cost 0 inf + 1218 37.214 * [simplify]: Simplified to (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) 37.214 * [simplify]: Simplified (2 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 37.214 * * * * [progress]: [ 6 / 2703 ] simplifiying candidate # 37.215 * [simplify]: Simplifying (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) 37.215 * * [simplify]: iters left: 6 (8 enodes) 37.218 * * [simplify]: iters left: 5 (24 enodes) 37.225 * * [simplify]: iters left: 4 (35 enodes) 37.232 * * [simplify]: iters left: 3 (58 enodes) 37.242 * * [simplify]: iters left: 2 (80 enodes) 37.255 * * [simplify]: iters left: 1 (106 enodes) 37.273 * * [simplify]: Extracting #0: cost 1 inf + 0 37.274 * * [simplify]: Extracting #1: cost 11 inf + 0 37.274 * * [simplify]: Extracting #2: cost 27 inf + 1 37.274 * * [simplify]: Extracting #3: cost 28 inf + 87 37.274 * * [simplify]: Extracting #4: cost 21 inf + 980 37.276 * * [simplify]: Extracting #5: cost 6 inf + 5217 37.277 * * [simplify]: Extracting #6: cost 0 inf + 7866 37.279 * [simplify]: Simplified to (* (sqrt (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) 37.279 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (* (sqrt (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))))) 37.279 * * * * [progress]: [ 7 / 2703 ] simplifiying candidate # 37.280 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) 37.280 * * [simplify]: iters left: 6 (8 enodes) 37.283 * * [simplify]: iters left: 5 (26 enodes) 37.286 * * [simplify]: Extracting #0: cost 1 inf + 0 37.286 * * [simplify]: Extracting #1: cost 4 inf + 0 37.286 * * [simplify]: Extracting #2: cost 7 inf + 0 37.286 * * [simplify]: Extracting #3: cost 10 inf + 0 37.286 * * [simplify]: Extracting #4: cost 14 inf + 0 37.286 * * [simplify]: Extracting #5: cost 10 inf + 84 37.287 * * [simplify]: Extracting #6: cost 8 inf + 166 37.287 * * [simplify]: Extracting #7: cost 4 inf + 854 37.287 * * [simplify]: Extracting #8: cost 1 inf + 1540 37.287 * * [simplify]: Extracting #9: cost 0 inf + 1782 37.287 * [simplify]: Simplified to (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) 37.287 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 37.288 * [simplify]: Simplifying (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) 37.288 * * [simplify]: iters left: 6 (7 enodes) 37.289 * * [simplify]: iters left: 5 (22 enodes) 37.294 * * [simplify]: Extracting #0: cost 1 inf + 0 37.294 * * [simplify]: Extracting #1: cost 3 inf + 0 37.294 * * [simplify]: Extracting #2: cost 5 inf + 0 37.294 * * [simplify]: Extracting #3: cost 8 inf + 0 37.294 * * [simplify]: Extracting #4: cost 12 inf + 0 37.294 * * [simplify]: Extracting #5: cost 10 inf + 2 37.294 * * [simplify]: Extracting #6: cost 1 inf + 1056 37.295 * * [simplify]: Extracting #7: cost 0 inf + 1298 37.295 * [simplify]: Simplified to (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) 37.295 * [simplify]: Simplified (2 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 37.295 * * * * [progress]: [ 8 / 2703 ] simplifiying candidate # 37.295 * [simplify]: Simplifying (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 37.295 * * [simplify]: iters left: 6 (7 enodes) 37.297 * * [simplify]: iters left: 5 (22 enodes) 37.300 * * [simplify]: Extracting #0: cost 1 inf + 0 37.300 * * [simplify]: Extracting #1: cost 3 inf + 0 37.300 * * [simplify]: Extracting #2: cost 5 inf + 0 37.300 * * [simplify]: Extracting #3: cost 8 inf + 0 37.300 * * [simplify]: Extracting #4: cost 12 inf + 0 37.300 * * [simplify]: Extracting #5: cost 10 inf + 2 37.300 * * [simplify]: Extracting #6: cost 1 inf + 936 37.301 * * [simplify]: Extracting #7: cost 0 inf + 1138 37.301 * [simplify]: Simplified to (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 37.301 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 37.301 * [simplify]: Simplifying (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 37.301 * * [simplify]: iters left: 6 (7 enodes) 37.303 * * [simplify]: iters left: 5 (22 enodes) 37.306 * * [simplify]: Extracting #0: cost 1 inf + 0 37.306 * * [simplify]: Extracting #1: cost 3 inf + 0 37.306 * * [simplify]: Extracting #2: cost 5 inf + 0 37.306 * * [simplify]: Extracting #3: cost 8 inf + 0 37.306 * * [simplify]: Extracting #4: cost 12 inf + 0 37.306 * * [simplify]: Extracting #5: cost 10 inf + 2 37.306 * * [simplify]: Extracting #6: cost 1 inf + 936 37.306 * * [simplify]: Extracting #7: cost 0 inf + 1138 37.307 * [simplify]: Simplified to (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 37.307 * [simplify]: Simplified (2 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 37.307 * * * * [progress]: [ 9 / 2703 ] simplifiying candidate # 37.307 * [simplify]: Simplifying (sqrt 1) 37.307 * * [simplify]: iters left: 1 (2 enodes) 37.309 * * [simplify]: Extracting #0: cost 1 inf + 0 37.310 * * [simplify]: Extracting #1: cost 0 inf + 1 37.310 * [simplify]: Simplified to 1 37.310 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (* 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 37.310 * [simplify]: Simplifying (sqrt (+ (* a1 a1) (* a2 a2))) 37.310 * * [simplify]: iters left: 5 (6 enodes) 37.312 * * [simplify]: iters left: 4 (19 enodes) 37.317 * * [simplify]: Extracting #0: cost 1 inf + 0 37.318 * * [simplify]: Extracting #1: cost 3 inf + 0 37.318 * * [simplify]: Extracting #2: cost 6 inf + 0 37.318 * * [simplify]: Extracting #3: cost 10 inf + 0 37.318 * * [simplify]: Extracting #4: cost 6 inf + 84 37.318 * * [simplify]: Extracting #5: cost 0 inf + 734 37.318 * [simplify]: Simplified to (sqrt (+ (* a1 a1) (* a2 a2))) 37.318 * [simplify]: Simplified (2 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (* 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 37.319 * * * * [progress]: [ 10 / 2703 ] simplifiying candidate # 37.319 * [simplify]: Simplifying (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) 37.319 * * [simplify]: iters left: 6 (9 enodes) 37.324 * * [simplify]: iters left: 5 (45 enodes) 37.342 * * [simplify]: iters left: 4 (100 enodes) 37.367 * * [simplify]: iters left: 3 (201 enodes) 37.453 * * [simplify]: iters left: 2 (406 enodes) 37.612 * * [simplify]: Extracting #0: cost 1 inf + 0 37.613 * * [simplify]: Extracting #1: cost 3 inf + 0 37.613 * * [simplify]: Extracting #2: cost 6 inf + 0 37.613 * * [simplify]: Extracting #3: cost 80 inf + 0 37.613 * * [simplify]: Extracting #4: cost 189 inf + 460 37.614 * * [simplify]: Extracting #5: cost 168 inf + 4664 37.617 * * [simplify]: Extracting #6: cost 84 inf + 34209 37.623 * * [simplify]: Extracting #7: cost 2 inf + 72608 37.628 * * [simplify]: Extracting #8: cost 0 inf + 73363 37.638 * [simplify]: Simplified to (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))) 37.638 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))))) 37.639 * [simplify]: Simplifying (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) 37.639 * * [simplify]: iters left: 6 (10 enodes) 37.645 * * [simplify]: iters left: 5 (52 enodes) 37.665 * * [simplify]: iters left: 4 (119 enodes) 37.696 * * [simplify]: iters left: 3 (234 enodes) 37.772 * * [simplify]: iters left: 2 (366 enodes) 37.923 * * [simplify]: Extracting #0: cost 1 inf + 0 37.923 * * [simplify]: Extracting #1: cost 3 inf + 0 37.923 * * [simplify]: Extracting #2: cost 22 inf + 0 37.924 * * [simplify]: Extracting #3: cost 148 inf + 0 37.926 * * [simplify]: Extracting #4: cost 202 inf + 2230 37.933 * * [simplify]: Extracting #5: cost 83 inf + 22274 37.947 * * [simplify]: Extracting #6: cost 1 inf + 35108 37.961 * * [simplify]: Extracting #7: cost 0 inf + 35040 37.976 * [simplify]: Simplified to (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))) 37.976 * [simplify]: Simplified (2 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))))))) 37.976 * * * * [progress]: [ 11 / 2703 ] simplifiying candidate # 37.976 * [simplify]: Simplifying (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) 37.977 * * [simplify]: iters left: 6 (8 enodes) 37.981 * * [simplify]: iters left: 5 (37 enodes) 37.994 * * [simplify]: iters left: 4 (67 enodes) 38.017 * * [simplify]: iters left: 3 (123 enodes) 38.053 * * [simplify]: iters left: 2 (278 enodes) 38.188 * * [simplify]: Extracting #0: cost 1 inf + 0 38.188 * * [simplify]: Extracting #1: cost 3 inf + 0 38.189 * * [simplify]: Extracting #2: cost 50 inf + 0 38.189 * * [simplify]: Extracting #3: cost 150 inf + 0 38.191 * * [simplify]: Extracting #4: cost 194 inf + 1180 38.196 * * [simplify]: Extracting #5: cost 123 inf + 12421 38.208 * * [simplify]: Extracting #6: cost 12 inf + 33804 38.226 * * [simplify]: Extracting #7: cost 0 inf + 36129 38.241 * [simplify]: Simplified to (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) 38.241 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2))))))) 38.241 * [simplify]: Simplifying (sqrt (- (* a1 a1) (* a2 a2))) 38.241 * * [simplify]: iters left: 5 (6 enodes) 38.244 * * [simplify]: iters left: 4 (23 enodes) 38.251 * * [simplify]: iters left: 3 (36 enodes) 38.262 * * [simplify]: iters left: 2 (53 enodes) 38.279 * * [simplify]: iters left: 1 (94 enodes) 38.313 * * [simplify]: Extracting #0: cost 1 inf + 0 38.313 * * [simplify]: Extracting #1: cost 3 inf + 0 38.314 * * [simplify]: Extracting #2: cost 32 inf + 0 38.314 * * [simplify]: Extracting #3: cost 48 inf + 0 38.314 * * [simplify]: Extracting #4: cost 42 inf + 247 38.315 * * [simplify]: Extracting #5: cost 18 inf + 3412 38.318 * * [simplify]: Extracting #6: cost 0 inf + 5728 38.320 * * [simplify]: Extracting #7: cost 0 inf + 5448 38.323 * [simplify]: Simplified to (sqrt (- (* a1 a1) (* a2 a2))) 38.323 * [simplify]: Simplified (2 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2))))))) 38.323 * * * * [progress]: [ 12 / 2703 ] simplifiying candidate # 38.323 * [simplify]: Simplifying (/ 1 2) 38.323 * * [simplify]: iters left: 2 (3 enodes) 38.327 * * [simplify]: iters left: 1 (12 enodes) 38.331 * * [simplify]: Extracting #0: cost 1 inf + 0 38.331 * * [simplify]: Extracting #1: cost 0 inf + 1 38.331 * [simplify]: Simplified to 1/2 38.331 * [simplify]: Simplified (2 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (pow (+ (* a1 a1) (* a2 a2)) 1/2)))) 38.332 * * * * [progress]: [ 13 / 2703 ] simplifiying candidate # 38.332 * [simplify]: Simplifying (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 38.332 * * [simplify]: iters left: 6 (7 enodes) 38.335 * * [simplify]: iters left: 5 (22 enodes) 38.341 * * [simplify]: Extracting #0: cost 1 inf + 0 38.341 * * [simplify]: Extracting #1: cost 3 inf + 0 38.341 * * [simplify]: Extracting #2: cost 5 inf + 0 38.341 * * [simplify]: Extracting #3: cost 8 inf + 0 38.341 * * [simplify]: Extracting #4: cost 12 inf + 0 38.341 * * [simplify]: Extracting #5: cost 10 inf + 2 38.342 * * [simplify]: Extracting #6: cost 1 inf + 936 38.342 * * [simplify]: Extracting #7: cost 0 inf + 1138 38.342 * [simplify]: Simplified to (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 38.342 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 38.343 * [simplify]: Simplifying (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 38.343 * * [simplify]: iters left: 6 (7 enodes) 38.346 * * [simplify]: iters left: 5 (22 enodes) 38.352 * * [simplify]: Extracting #0: cost 1 inf + 0 38.352 * * [simplify]: Extracting #1: cost 3 inf + 0 38.352 * * [simplify]: Extracting #2: cost 5 inf + 0 38.352 * * [simplify]: Extracting #3: cost 8 inf + 0 38.352 * * [simplify]: Extracting #4: cost 12 inf + 0 38.352 * * [simplify]: Extracting #5: cost 10 inf + 2 38.353 * * [simplify]: Extracting #6: cost 1 inf + 936 38.353 * * [simplify]: Extracting #7: cost 0 inf + 1138 38.354 * [simplify]: Simplified to (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 38.354 * [simplify]: Simplified (2 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 38.354 * * * * [progress]: [ 14 / 2703 ] simplifiying candidate # 38.354 * * * * [progress]: [ 15 / 2703 ] simplifiying candidate # 38.354 * * * * [progress]: [ 16 / 2703 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* a1 a1) (* a2 a2))))))))> 38.354 * [simplify]: Simplifying (real->posit16 (sqrt (+ (* a1 a1) (* a2 a2)))) 38.354 * * [simplify]: iters left: 6 (7 enodes) 38.357 * * [simplify]: iters left: 5 (19 enodes) 38.362 * * [simplify]: Extracting #0: cost 1 inf + 0 38.362 * * [simplify]: Extracting #1: cost 2 inf + 0 38.362 * * [simplify]: Extracting #2: cost 3 inf + 0 38.362 * * [simplify]: Extracting #3: cost 6 inf + 0 38.362 * * [simplify]: Extracting #4: cost 10 inf + 0 38.362 * * [simplify]: Extracting #5: cost 6 inf + 84 38.362 * * [simplify]: Extracting #6: cost 0 inf + 734 38.362 * [simplify]: Simplified to (real->posit16 (sqrt (+ (* a1 a1) (* a2 a2)))) 38.362 * [simplify]: Simplified (2 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (posit16->real (real->posit16 (sqrt (+ (* a1 a1) (* a2 a2)))))))) 38.362 * * * * [progress]: [ 17 / 2703 ] simplifiying candidate # 38.363 * * * * [progress]: [ 18 / 2703 ] simplifiying candidate # 38.363 * * * * [progress]: [ 19 / 2703 ] simplifiying candidate # 38.363 * [simplify]: Simplifying (log (sqrt (+ (* a1 a1) (* a2 a2)))) 38.363 * * [simplify]: iters left: 6 (7 enodes) 38.364 * * [simplify]: iters left: 5 (22 enodes) 38.367 * * [simplify]: Extracting #0: cost 1 inf + 0 38.367 * * [simplify]: Extracting #1: cost 3 inf + 0 38.367 * * [simplify]: Extracting #2: cost 5 inf + 0 38.367 * * [simplify]: Extracting #3: cost 8 inf + 0 38.367 * * [simplify]: Extracting #4: cost 12 inf + 0 38.368 * * [simplify]: Extracting #5: cost 10 inf + 2 38.368 * * [simplify]: Extracting #6: cost 1 inf + 966 38.368 * * [simplify]: Extracting #7: cost 0 inf + 1198 38.368 * [simplify]: Simplified to (log (sqrt (+ (* a1 a1) (* a2 a2)))) 38.368 * [simplify]: Simplified (2 1 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (exp (log (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 38.368 * * * * [progress]: [ 20 / 2703 ] simplifiying candidate # 38.368 * [simplify]: Simplifying (exp (sqrt (+ (* a1 a1) (* a2 a2)))) 38.368 * * [simplify]: iters left: 6 (7 enodes) 38.370 * * [simplify]: iters left: 5 (22 enodes) 38.373 * * [simplify]: Extracting #0: cost 1 inf + 0 38.373 * * [simplify]: Extracting #1: cost 3 inf + 0 38.373 * * [simplify]: Extracting #2: cost 5 inf + 0 38.373 * * [simplify]: Extracting #3: cost 8 inf + 0 38.373 * * [simplify]: Extracting #4: cost 12 inf + 0 38.373 * * [simplify]: Extracting #5: cost 10 inf + 2 38.373 * * [simplify]: Extracting #6: cost 1 inf + 966 38.373 * * [simplify]: Extracting #7: cost 0 inf + 1198 38.374 * [simplify]: Simplified to (exp (sqrt (+ (* a1 a1) (* a2 a2)))) 38.374 * [simplify]: Simplified (2 1 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (log (exp (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 38.374 * * * * [progress]: [ 21 / 2703 ] simplifiying candidate # 38.374 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) 38.374 * * [simplify]: iters left: 6 (8 enodes) 38.376 * * [simplify]: iters left: 5 (25 enodes) 38.380 * * [simplify]: Extracting #0: cost 1 inf + 0 38.380 * * [simplify]: Extracting #1: cost 3 inf + 0 38.380 * * [simplify]: Extracting #2: cost 5 inf + 0 38.380 * * [simplify]: Extracting #3: cost 7 inf + 0 38.380 * * [simplify]: Extracting #4: cost 10 inf + 0 38.380 * * [simplify]: Extracting #5: cost 14 inf + 0 38.380 * * [simplify]: Extracting #6: cost 11 inf + 43 38.380 * * [simplify]: Extracting #7: cost 9 inf + 125 38.380 * * [simplify]: Extracting #8: cost 5 inf + 572 38.380 * * [simplify]: Extracting #9: cost 1 inf + 1500 38.380 * * [simplify]: Extracting #10: cost 0 inf + 1782 38.381 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) 38.381 * [simplify]: Simplified (2 1 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 38.381 * [simplify]: Simplifying (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) 38.381 * * [simplify]: iters left: 6 (7 enodes) 38.383 * * [simplify]: iters left: 5 (22 enodes) 38.385 * * [simplify]: Extracting #0: cost 1 inf + 0 38.385 * * [simplify]: Extracting #1: cost 3 inf + 0 38.385 * * [simplify]: Extracting #2: cost 5 inf + 0 38.385 * * [simplify]: Extracting #3: cost 8 inf + 0 38.385 * * [simplify]: Extracting #4: cost 12 inf + 0 38.386 * * [simplify]: Extracting #5: cost 10 inf + 2 38.386 * * [simplify]: Extracting #6: cost 1 inf + 976 38.386 * * [simplify]: Extracting #7: cost 0 inf + 1218 38.386 * [simplify]: Simplified to (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) 38.386 * [simplify]: Simplified (2 1 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 38.387 * * * * [progress]: [ 22 / 2703 ] simplifiying candidate # 38.387 * [simplify]: Simplifying (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) 38.387 * * [simplify]: iters left: 6 (8 enodes) 38.391 * * [simplify]: iters left: 5 (24 enodes) 38.398 * * [simplify]: iters left: 4 (35 enodes) 38.410 * * [simplify]: iters left: 3 (58 enodes) 38.419 * * [simplify]: iters left: 2 (80 enodes) 38.431 * * [simplify]: iters left: 1 (106 enodes) 38.454 * * [simplify]: Extracting #0: cost 1 inf + 0 38.454 * * [simplify]: Extracting #1: cost 11 inf + 0 38.454 * * [simplify]: Extracting #2: cost 27 inf + 1 38.454 * * [simplify]: Extracting #3: cost 28 inf + 87 38.455 * * [simplify]: Extracting #4: cost 21 inf + 980 38.456 * * [simplify]: Extracting #5: cost 6 inf + 5217 38.461 * * [simplify]: Extracting #6: cost 0 inf + 7866 38.464 * [simplify]: Simplified to (* (sqrt (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) 38.464 * [simplify]: Simplified (2 1 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (* (sqrt (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 38.464 * * * * [progress]: [ 23 / 2703 ] simplifiying candidate # 38.464 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) 38.465 * * [simplify]: iters left: 6 (8 enodes) 38.468 * * [simplify]: iters left: 5 (26 enodes) 38.475 * * [simplify]: Extracting #0: cost 1 inf + 0 38.475 * * [simplify]: Extracting #1: cost 4 inf + 0 38.475 * * [simplify]: Extracting #2: cost 7 inf + 0 38.476 * * [simplify]: Extracting #3: cost 10 inf + 0 38.476 * * [simplify]: Extracting #4: cost 14 inf + 0 38.476 * * [simplify]: Extracting #5: cost 10 inf + 84 38.476 * * [simplify]: Extracting #6: cost 8 inf + 166 38.476 * * [simplify]: Extracting #7: cost 4 inf + 854 38.477 * * [simplify]: Extracting #8: cost 1 inf + 1540 38.477 * * [simplify]: Extracting #9: cost 0 inf + 1782 38.478 * [simplify]: Simplified to (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) 38.478 * [simplify]: Simplified (2 1 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 38.478 * [simplify]: Simplifying (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) 38.478 * * [simplify]: iters left: 6 (7 enodes) 38.482 * * [simplify]: iters left: 5 (22 enodes) 38.488 * * [simplify]: Extracting #0: cost 1 inf + 0 38.488 * * [simplify]: Extracting #1: cost 3 inf + 0 38.488 * * [simplify]: Extracting #2: cost 5 inf + 0 38.488 * * [simplify]: Extracting #3: cost 8 inf + 0 38.488 * * [simplify]: Extracting #4: cost 12 inf + 0 38.488 * * [simplify]: Extracting #5: cost 10 inf + 2 38.488 * * [simplify]: Extracting #6: cost 1 inf + 1056 38.489 * * [simplify]: Extracting #7: cost 0 inf + 1298 38.489 * [simplify]: Simplified to (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) 38.489 * [simplify]: Simplified (2 1 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 38.489 * * * * [progress]: [ 24 / 2703 ] simplifiying candidate # 38.490 * [simplify]: Simplifying (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 38.490 * * [simplify]: iters left: 6 (7 enodes) 38.493 * * [simplify]: iters left: 5 (22 enodes) 38.499 * * [simplify]: Extracting #0: cost 1 inf + 0 38.499 * * [simplify]: Extracting #1: cost 3 inf + 0 38.499 * * [simplify]: Extracting #2: cost 5 inf + 0 38.499 * * [simplify]: Extracting #3: cost 8 inf + 0 38.499 * * [simplify]: Extracting #4: cost 12 inf + 0 38.499 * * [simplify]: Extracting #5: cost 10 inf + 2 38.499 * * [simplify]: Extracting #6: cost 1 inf + 936 38.500 * * [simplify]: Extracting #7: cost 0 inf + 1138 38.500 * [simplify]: Simplified to (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 38.500 * [simplify]: Simplified (2 1 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 38.501 * [simplify]: Simplifying (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 38.501 * * [simplify]: iters left: 6 (7 enodes) 38.504 * * [simplify]: iters left: 5 (22 enodes) 38.510 * * [simplify]: Extracting #0: cost 1 inf + 0 38.510 * * [simplify]: Extracting #1: cost 3 inf + 0 38.510 * * [simplify]: Extracting #2: cost 5 inf + 0 38.510 * * [simplify]: Extracting #3: cost 8 inf + 0 38.510 * * [simplify]: Extracting #4: cost 12 inf + 0 38.510 * * [simplify]: Extracting #5: cost 10 inf + 2 38.510 * * [simplify]: Extracting #6: cost 1 inf + 936 38.511 * * [simplify]: Extracting #7: cost 0 inf + 1138 38.511 * [simplify]: Simplified to (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 38.511 * [simplify]: Simplified (2 1 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 38.511 * * * * [progress]: [ 25 / 2703 ] simplifiying candidate # 38.512 * [simplify]: Simplifying (sqrt 1) 38.512 * * [simplify]: iters left: 1 (2 enodes) 38.515 * * [simplify]: Extracting #0: cost 1 inf + 0 38.515 * * [simplify]: Extracting #1: cost 0 inf + 1 38.515 * [simplify]: Simplified to 1 38.515 * [simplify]: Simplified (2 1 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* 1 (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 38.516 * [simplify]: Simplifying (sqrt (+ (* a1 a1) (* a2 a2))) 38.516 * * [simplify]: iters left: 5 (6 enodes) 38.518 * * [simplify]: iters left: 4 (19 enodes) 38.524 * * [simplify]: Extracting #0: cost 1 inf + 0 38.524 * * [simplify]: Extracting #1: cost 3 inf + 0 38.524 * * [simplify]: Extracting #2: cost 6 inf + 0 38.524 * * [simplify]: Extracting #3: cost 10 inf + 0 38.524 * * [simplify]: Extracting #4: cost 6 inf + 84 38.524 * * [simplify]: Extracting #5: cost 0 inf + 734 38.525 * [simplify]: Simplified to (sqrt (+ (* a1 a1) (* a2 a2))) 38.525 * [simplify]: Simplified (2 1 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* 1 (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 38.525 * * * * [progress]: [ 26 / 2703 ] simplifiying candidate # 38.525 * [simplify]: Simplifying (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) 38.525 * * [simplify]: iters left: 6 (9 enodes) 38.531 * * [simplify]: iters left: 5 (45 enodes) 38.553 * * [simplify]: iters left: 4 (100 enodes) 38.599 * * [simplify]: iters left: 3 (201 enodes) 38.685 * * [simplify]: iters left: 2 (406 enodes) 38.863 * * [simplify]: Extracting #0: cost 1 inf + 0 38.863 * * [simplify]: Extracting #1: cost 3 inf + 0 38.863 * * [simplify]: Extracting #2: cost 6 inf + 0 38.863 * * [simplify]: Extracting #3: cost 80 inf + 0 38.864 * * [simplify]: Extracting #4: cost 189 inf + 460 38.865 * * [simplify]: Extracting #5: cost 168 inf + 4664 38.868 * * [simplify]: Extracting #6: cost 84 inf + 34209 38.874 * * [simplify]: Extracting #7: cost 2 inf + 72608 38.881 * * [simplify]: Extracting #8: cost 0 inf + 73363 38.893 * [simplify]: Simplified to (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))) 38.893 * [simplify]: Simplified (2 1 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 38.894 * [simplify]: Simplifying (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) 38.894 * * [simplify]: iters left: 6 (10 enodes) 38.899 * * [simplify]: iters left: 5 (52 enodes) 38.920 * * [simplify]: iters left: 4 (119 enodes) 38.966 * * [simplify]: iters left: 3 (234 enodes) 39.033 * * [simplify]: iters left: 2 (366 enodes) 39.166 * * [simplify]: Extracting #0: cost 1 inf + 0 39.166 * * [simplify]: Extracting #1: cost 3 inf + 0 39.166 * * [simplify]: Extracting #2: cost 22 inf + 0 39.167 * * [simplify]: Extracting #3: cost 148 inf + 0 39.169 * * [simplify]: Extracting #4: cost 202 inf + 2230 39.173 * * [simplify]: Extracting #5: cost 83 inf + 22274 39.180 * * [simplify]: Extracting #6: cost 1 inf + 35108 39.188 * * [simplify]: Extracting #7: cost 0 inf + 35040 39.195 * [simplify]: Simplified to (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))) 39.195 * [simplify]: Simplified (2 1 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 39.195 * * * * [progress]: [ 27 / 2703 ] simplifiying candidate # 39.196 * [simplify]: Simplifying (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) 39.196 * * [simplify]: iters left: 6 (8 enodes) 39.198 * * [simplify]: iters left: 5 (37 enodes) 39.206 * * [simplify]: iters left: 4 (67 enodes) 39.232 * * [simplify]: iters left: 3 (123 enodes) 39.258 * * [simplify]: iters left: 2 (278 enodes) 39.379 * * [simplify]: Extracting #0: cost 1 inf + 0 39.379 * * [simplify]: Extracting #1: cost 3 inf + 0 39.380 * * [simplify]: Extracting #2: cost 50 inf + 0 39.380 * * [simplify]: Extracting #3: cost 150 inf + 0 39.381 * * [simplify]: Extracting #4: cost 194 inf + 1180 39.384 * * [simplify]: Extracting #5: cost 123 inf + 12421 39.396 * * [simplify]: Extracting #6: cost 12 inf + 33804 39.410 * * [simplify]: Extracting #7: cost 0 inf + 36129 39.425 * [simplify]: Simplified to (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) 39.425 * [simplify]: Simplified (2 1 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 39.426 * [simplify]: Simplifying (sqrt (- (* a1 a1) (* a2 a2))) 39.426 * * [simplify]: iters left: 5 (6 enodes) 39.428 * * [simplify]: iters left: 4 (23 enodes) 39.435 * * [simplify]: iters left: 3 (36 enodes) 39.440 * * [simplify]: iters left: 2 (53 enodes) 39.449 * * [simplify]: iters left: 1 (94 enodes) 39.468 * * [simplify]: Extracting #0: cost 1 inf + 0 39.468 * * [simplify]: Extracting #1: cost 3 inf + 0 39.468 * * [simplify]: Extracting #2: cost 32 inf + 0 39.469 * * [simplify]: Extracting #3: cost 48 inf + 0 39.469 * * [simplify]: Extracting #4: cost 42 inf + 247 39.470 * * [simplify]: Extracting #5: cost 18 inf + 3412 39.473 * * [simplify]: Extracting #6: cost 0 inf + 5728 39.475 * * [simplify]: Extracting #7: cost 0 inf + 5448 39.477 * [simplify]: Simplified to (sqrt (- (* a1 a1) (* a2 a2))) 39.477 * [simplify]: Simplified (2 1 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 39.478 * * * * [progress]: [ 28 / 2703 ] simplifiying candidate # 39.478 * [simplify]: Simplifying (/ 1 2) 39.478 * * [simplify]: iters left: 2 (3 enodes) 39.482 * * [simplify]: iters left: 1 (12 enodes) 39.486 * * [simplify]: Extracting #0: cost 1 inf + 0 39.486 * * [simplify]: Extracting #1: cost 0 inf + 1 39.486 * [simplify]: Simplified to 1/2 39.486 * [simplify]: Simplified (2 1 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (pow (+ (* a1 a1) (* a2 a2)) 1/2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 39.486 * * * * [progress]: [ 29 / 2703 ] simplifiying candidate # 39.487 * [simplify]: Simplifying (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 39.487 * * [simplify]: iters left: 6 (7 enodes) 39.490 * * [simplify]: iters left: 5 (22 enodes) 39.498 * * [simplify]: Extracting #0: cost 1 inf + 0 39.498 * * [simplify]: Extracting #1: cost 3 inf + 0 39.498 * * [simplify]: Extracting #2: cost 5 inf + 0 39.498 * * [simplify]: Extracting #3: cost 8 inf + 0 39.498 * * [simplify]: Extracting #4: cost 12 inf + 0 39.498 * * [simplify]: Extracting #5: cost 10 inf + 2 39.499 * * [simplify]: Extracting #6: cost 1 inf + 936 39.499 * * [simplify]: Extracting #7: cost 0 inf + 1138 39.500 * [simplify]: Simplified to (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 39.500 * [simplify]: Simplified (2 1 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 39.500 * [simplify]: Simplifying (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 39.500 * * [simplify]: iters left: 6 (7 enodes) 39.503 * * [simplify]: iters left: 5 (22 enodes) 39.509 * * [simplify]: Extracting #0: cost 1 inf + 0 39.509 * * [simplify]: Extracting #1: cost 3 inf + 0 39.509 * * [simplify]: Extracting #2: cost 5 inf + 0 39.509 * * [simplify]: Extracting #3: cost 8 inf + 0 39.509 * * [simplify]: Extracting #4: cost 12 inf + 0 39.509 * * [simplify]: Extracting #5: cost 10 inf + 2 39.510 * * [simplify]: Extracting #6: cost 1 inf + 936 39.510 * * [simplify]: Extracting #7: cost 0 inf + 1138 39.510 * [simplify]: Simplified to (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 39.510 * [simplify]: Simplified (2 1 2 2 2) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 39.511 * * * * [progress]: [ 30 / 2703 ] simplifiying candidate # 39.511 * * * * [progress]: [ 31 / 2703 ] simplifiying candidate # 39.511 * * * * [progress]: [ 32 / 2703 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))> 39.511 * [simplify]: Simplifying (real->posit16 (sqrt (+ (* a1 a1) (* a2 a2)))) 39.511 * * [simplify]: iters left: 6 (7 enodes) 39.514 * * [simplify]: iters left: 5 (19 enodes) 39.520 * * [simplify]: Extracting #0: cost 1 inf + 0 39.520 * * [simplify]: Extracting #1: cost 2 inf + 0 39.520 * * [simplify]: Extracting #2: cost 3 inf + 0 39.520 * * [simplify]: Extracting #3: cost 6 inf + 0 39.520 * * [simplify]: Extracting #4: cost 10 inf + 0 39.520 * * [simplify]: Extracting #5: cost 6 inf + 84 39.520 * * [simplify]: Extracting #6: cost 0 inf + 734 39.520 * [simplify]: Simplified to (real->posit16 (sqrt (+ (* a1 a1) (* a2 a2)))) 39.520 * [simplify]: Simplified (2 1 2 2 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (posit16->real (real->posit16 (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 39.521 * * * * [progress]: [ 33 / 2703 ] simplifiying candidate # 39.521 * * * * [progress]: [ 34 / 2703 ] simplifiying candidate # 39.521 * [simplify]: Simplifying (- (log (cos th)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))) 39.521 * * [simplify]: iters left: 6 (17 enodes) 39.529 * * [simplify]: iters left: 5 (60 enodes) 39.540 * * [simplify]: iters left: 4 (85 enodes) 39.553 * * [simplify]: iters left: 3 (120 enodes) 39.585 * * [simplify]: iters left: 2 (164 enodes) 39.631 * * [simplify]: iters left: 1 (211 enodes) 39.679 * * [simplify]: Extracting #0: cost 1 inf + 0 39.680 * * [simplify]: Extracting #1: cost 28 inf + 0 39.680 * * [simplify]: Extracting #2: cost 58 inf + 0 39.680 * * [simplify]: Extracting #3: cost 64 inf + 0 39.680 * * [simplify]: Extracting #4: cost 67 inf + 62 39.681 * * [simplify]: Extracting #5: cost 55 inf + 2791 39.681 * * [simplify]: Extracting #6: cost 36 inf + 7768 39.683 * * [simplify]: Extracting #7: cost 24 inf + 11749 39.687 * * [simplify]: Extracting #8: cost 5 inf + 21028 39.691 * * [simplify]: Extracting #9: cost 0 inf + 23725 39.697 * [simplify]: Simplified to (+ (log (sqrt (+ (* a2 a2) (* a1 a1)))) (- (log (cos th)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) 39.697 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (exp (+ (log (sqrt (+ (* a2 a2) (* a1 a1)))) (- (log (cos th)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 39.698 * * * * [progress]: [ 35 / 2703 ] simplifiying candidate # 39.698 * [simplify]: Simplifying (- (log (cos th)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))) 39.698 * * [simplify]: iters left: 6 (17 enodes) 39.703 * * [simplify]: iters left: 5 (60 enodes) 39.722 * * [simplify]: iters left: 4 (82 enodes) 39.747 * * [simplify]: iters left: 3 (111 enodes) 39.765 * * [simplify]: iters left: 2 (159 enodes) 39.799 * * [simplify]: iters left: 1 (204 enodes) 39.851 * * [simplify]: Extracting #0: cost 1 inf + 0 39.851 * * [simplify]: Extracting #1: cost 28 inf + 0 39.851 * * [simplify]: Extracting #2: cost 55 inf + 0 39.851 * * [simplify]: Extracting #3: cost 62 inf + 0 39.852 * * [simplify]: Extracting #4: cost 65 inf + 62 39.852 * * [simplify]: Extracting #5: cost 52 inf + 3222 39.853 * * [simplify]: Extracting #6: cost 35 inf + 6694 39.854 * * [simplify]: Extracting #7: cost 24 inf + 9366 39.857 * * [simplify]: Extracting #8: cost 6 inf + 18815 39.861 * * [simplify]: Extracting #9: cost 1 inf + 21412 39.865 * * [simplify]: Extracting #10: cost 0 inf + 22126 39.869 * [simplify]: Simplified to (+ (log (sqrt (+ (* a2 a2) (* a1 a1)))) (- (log (cos th)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 39.869 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (exp (+ (log (sqrt (+ (* a2 a2) (* a1 a1)))) (- (log (cos th)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 39.869 * * * * [progress]: [ 36 / 2703 ] simplifiying candidate # 39.869 * [simplify]: Simplifying (- (log (cos th)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 39.870 * * [simplify]: iters left: 6 (16 enodes) 39.874 * * [simplify]: iters left: 5 (56 enodes) 39.884 * * [simplify]: iters left: 4 (75 enodes) 39.904 * * [simplify]: iters left: 3 (102 enodes) 39.919 * * [simplify]: iters left: 2 (131 enodes) 39.954 * * [simplify]: iters left: 1 (191 enodes) 40.022 * * [simplify]: Extracting #0: cost 1 inf + 0 40.023 * * [simplify]: Extracting #1: cost 25 inf + 0 40.023 * * [simplify]: Extracting #2: cost 52 inf + 0 40.023 * * [simplify]: Extracting #3: cost 62 inf + 0 40.023 * * [simplify]: Extracting #4: cost 65 inf + 62 40.023 * * [simplify]: Extracting #5: cost 58 inf + 1273 40.024 * * [simplify]: Extracting #6: cost 43 inf + 4793 40.025 * * [simplify]: Extracting #7: cost 20 inf + 11916 40.029 * * [simplify]: Extracting #8: cost 4 inf + 18765 40.033 * * [simplify]: Extracting #9: cost 0 inf + 20849 40.037 * [simplify]: Simplified to (- (log (cos th)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 40.037 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (exp (- (log (cos th)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 40.037 * * * * [progress]: [ 37 / 2703 ] simplifiying candidate # 40.037 * [simplify]: Simplifying (log (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 40.037 * * [simplify]: iters left: 6 (15 enodes) 40.041 * * [simplify]: iters left: 5 (53 enodes) 40.052 * * [simplify]: iters left: 4 (79 enodes) 40.076 * * [simplify]: iters left: 3 (128 enodes) 40.116 * * [simplify]: iters left: 2 (186 enodes) 40.173 * * [simplify]: iters left: 1 (248 enodes) 40.227 * * [simplify]: Extracting #0: cost 1 inf + 0 40.227 * * [simplify]: Extracting #1: cost 24 inf + 0 40.227 * * [simplify]: Extracting #2: cost 56 inf + 0 40.229 * * [simplify]: Extracting #3: cost 72 inf + 0 40.229 * * [simplify]: Extracting #4: cost 75 inf + 62 40.230 * * [simplify]: Extracting #5: cost 58 inf + 4285 40.231 * * [simplify]: Extracting #6: cost 40 inf + 7960 40.233 * * [simplify]: Extracting #7: cost 15 inf + 15846 40.239 * * [simplify]: Extracting #8: cost 2 inf + 20685 40.248 * * [simplify]: Extracting #9: cost 0 inf + 21431 40.256 * [simplify]: Simplified to (log (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 40.256 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (exp (log (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 40.257 * * * * [progress]: [ 38 / 2703 ] simplifiying candidate # 40.257 * [simplify]: Simplifying (exp (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 40.257 * * [simplify]: iters left: 6 (15 enodes) 40.265 * * [simplify]: iters left: 5 (50 enodes) 40.281 * * [simplify]: iters left: 4 (64 enodes) 40.300 * * [simplify]: iters left: 3 (88 enodes) 40.325 * * [simplify]: iters left: 2 (107 enodes) 40.341 * * [simplify]: iters left: 1 (151 enodes) 40.377 * * [simplify]: Extracting #0: cost 1 inf + 0 40.378 * * [simplify]: Extracting #1: cost 23 inf + 0 40.378 * * [simplify]: Extracting #2: cost 70 inf + 0 40.378 * * [simplify]: Extracting #3: cost 99 inf + 2 40.379 * * [simplify]: Extracting #4: cost 92 inf + 955 40.380 * * [simplify]: Extracting #5: cost 76 inf + 3890 40.384 * * [simplify]: Extracting #6: cost 33 inf + 17724 40.392 * * [simplify]: Extracting #7: cost 8 inf + 31723 40.402 * * [simplify]: Extracting #8: cost 0 inf + 37803 40.412 * [simplify]: Simplified to (exp (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 40.412 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (log (exp (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 40.412 * * * * [progress]: [ 39 / 2703 ] simplifiying candidate # 40.412 * [simplify]: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (/ (* (sqrt 2) (sqrt 2)) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 40.413 * * [simplify]: iters left: 6 (17 enodes) 40.421 * * [simplify]: iters left: 5 (56 enodes) 40.440 * * [simplify]: iters left: 4 (105 enodes) 40.488 * * [simplify]: iters left: 3 (304 enodes) 40.666 * * [simplify]: Extracting #0: cost 1 inf + 0 40.666 * * [simplify]: Extracting #1: cost 86 inf + 0 40.668 * * [simplify]: Extracting #2: cost 269 inf + 1 40.670 * * [simplify]: Extracting #3: cost 287 inf + 3222 40.676 * * [simplify]: Extracting #4: cost 235 inf + 12603 40.686 * * [simplify]: Extracting #5: cost 180 inf + 29980 40.707 * * [simplify]: Extracting #6: cost 51 inf + 74359 40.728 * * [simplify]: Extracting #7: cost 0 inf + 92497 40.766 * [simplify]: Simplified to (* (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (* (cos th) (cos th)) (cos th)) 2)) 40.766 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (cbrt (* (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (* (cos th) (cos th)) (cos th)) 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 40.766 * * * * [progress]: [ 40 / 2703 ] simplifiying candidate # 40.767 * [simplify]: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 40.767 * * [simplify]: iters left: 6 (20 enodes) 40.778 * * [simplify]: iters left: 5 (80 enodes) 40.805 * * [simplify]: iters left: 4 (232 enodes) 40.932 * * [simplify]: Extracting #0: cost 1 inf + 0 40.932 * * [simplify]: Extracting #1: cost 139 inf + 0 40.934 * * [simplify]: Extracting #2: cost 381 inf + 0 40.935 * * [simplify]: Extracting #3: cost 389 inf + 795 40.938 * * [simplify]: Extracting #4: cost 340 inf + 11399 40.945 * * [simplify]: Extracting #5: cost 267 inf + 34694 40.959 * * [simplify]: Extracting #6: cost 144 inf + 83245 41.011 * * [simplify]: Extracting #7: cost 23 inf + 134267 41.062 * * [simplify]: Extracting #8: cost 0 inf + 144754 41.111 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cos th) (* (/ (sqrt 2) (cos th)) (/ (sqrt 2) (cos th)))) (+ (* a2 a2) (* a1 a1)))) 41.111 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cos th) (* (/ (sqrt 2) (cos th)) (/ (sqrt 2) (cos th)))) (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 41.112 * * * * [progress]: [ 41 / 2703 ] simplifiying candidate # 41.112 * [simplify]: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 41.112 * * [simplify]: iters left: 6 (18 enodes) 41.120 * * [simplify]: iters left: 5 (72 enodes) 41.143 * * [simplify]: iters left: 4 (170 enodes) 41.218 * * [simplify]: Extracting #0: cost 1 inf + 0 41.218 * * [simplify]: Extracting #1: cost 52 inf + 0 41.219 * * [simplify]: Extracting #2: cost 189 inf + 1 41.220 * * [simplify]: Extracting #3: cost 204 inf + 608 41.221 * * [simplify]: Extracting #4: cost 195 inf + 2936 41.224 * * [simplify]: Extracting #5: cost 140 inf + 21842 41.240 * * [simplify]: Extracting #6: cost 22 inf + 78223 41.267 * * [simplify]: Extracting #7: cost 0 inf + 89577 41.290 * * [simplify]: Extracting #8: cost 0 inf + 89537 41.321 * [simplify]: Simplified to (* (* (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 41.321 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (cbrt (* (* (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 41.321 * * * * [progress]: [ 42 / 2703 ] simplifiying candidate # 41.321 * [simplify]: Simplifying (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 41.321 * * [simplify]: iters left: 6 (16 enodes) 41.326 * * [simplify]: iters left: 5 (53 enodes) 41.334 * * [simplify]: iters left: 4 (65 enodes) 41.347 * * [simplify]: iters left: 3 (84 enodes) 41.371 * * [simplify]: iters left: 2 (90 enodes) 41.397 * * [simplify]: iters left: 1 (98 enodes) 41.423 * * [simplify]: Extracting #0: cost 1 inf + 0 41.423 * * [simplify]: Extracting #1: cost 3 inf + 0 41.423 * * [simplify]: Extracting #2: cost 5 inf + 0 41.424 * * [simplify]: Extracting #3: cost 20 inf + 0 41.424 * * [simplify]: Extracting #4: cost 36 inf + 0 41.424 * * [simplify]: Extracting #5: cost 39 inf + 62 41.424 * * [simplify]: Extracting #6: cost 36 inf + 830 41.425 * * [simplify]: Extracting #7: cost 24 inf + 2608 41.426 * * [simplify]: Extracting #8: cost 14 inf + 4549 41.429 * * [simplify]: Extracting #9: cost 2 inf + 9270 41.432 * * [simplify]: Extracting #10: cost 0 inf + 10278 41.435 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 41.436 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 41.436 * [simplify]: Simplifying (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 41.436 * * [simplify]: iters left: 6 (15 enodes) 41.444 * * [simplify]: iters left: 5 (50 enodes) 41.453 * * [simplify]: iters left: 4 (62 enodes) 41.463 * * [simplify]: iters left: 3 (81 enodes) 41.475 * * [simplify]: iters left: 2 (87 enodes) 41.495 * * [simplify]: iters left: 1 (95 enodes) 41.523 * * [simplify]: Extracting #0: cost 1 inf + 0 41.523 * * [simplify]: Extracting #1: cost 3 inf + 0 41.523 * * [simplify]: Extracting #2: cost 18 inf + 0 41.523 * * [simplify]: Extracting #3: cost 34 inf + 0 41.524 * * [simplify]: Extracting #4: cost 37 inf + 62 41.524 * * [simplify]: Extracting #5: cost 34 inf + 609 41.524 * * [simplify]: Extracting #6: cost 22 inf + 2347 41.526 * * [simplify]: Extracting #7: cost 7 inf + 6225 41.529 * * [simplify]: Extracting #8: cost 0 inf + 9110 41.532 * [simplify]: Simplified to (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 41.532 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 41.532 * * * * [progress]: [ 43 / 2703 ] simplifiying candidate # 41.533 * [simplify]: Simplifying (* (* (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 41.533 * * [simplify]: iters left: 6 (16 enodes) 41.541 * * [simplify]: iters left: 5 (60 enodes) 41.563 * * [simplify]: iters left: 4 (121 enodes) 41.634 * * [simplify]: iters left: 3 (473 enodes) 42.453 * * [simplify]: Extracting #0: cost 1 inf + 0 42.454 * * [simplify]: Extracting #1: cost 174 inf + 0 42.456 * * [simplify]: Extracting #2: cost 534 inf + 1 42.459 * * [simplify]: Extracting #3: cost 535 inf + 1143 42.474 * * [simplify]: Extracting #4: cost 347 inf + 78762 42.549 * * [simplify]: Extracting #5: cost 33 inf + 230676 42.683 * * [simplify]: Extracting #6: cost 0 inf + 245864 42.767 * * [simplify]: Extracting #7: cost 0 inf + 245733 42.892 * [simplify]: Simplified to (* (* (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 42.892 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (cbrt (* (* (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 42.892 * * * * [progress]: [ 44 / 2703 ] simplifiying candidate # 42.892 * [simplify]: Simplifying (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 42.893 * * [simplify]: iters left: 6 (15 enodes) 42.901 * * [simplify]: iters left: 5 (50 enodes) 42.916 * * [simplify]: iters left: 4 (62 enodes) 42.935 * * [simplify]: iters left: 3 (81 enodes) 42.954 * * [simplify]: iters left: 2 (87 enodes) 42.965 * * [simplify]: iters left: 1 (95 enodes) 42.978 * * [simplify]: Extracting #0: cost 1 inf + 0 42.978 * * [simplify]: Extracting #1: cost 3 inf + 0 42.978 * * [simplify]: Extracting #2: cost 18 inf + 0 42.978 * * [simplify]: Extracting #3: cost 34 inf + 0 42.978 * * [simplify]: Extracting #4: cost 37 inf + 62 42.979 * * [simplify]: Extracting #5: cost 34 inf + 609 42.979 * * [simplify]: Extracting #6: cost 22 inf + 2347 42.981 * * [simplify]: Extracting #7: cost 7 inf + 6225 42.984 * * [simplify]: Extracting #8: cost 0 inf + 9030 42.987 * [simplify]: Simplified to (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 42.987 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 42.987 * [simplify]: Simplifying (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 42.987 * * [simplify]: iters left: 6 (15 enodes) 42.995 * * [simplify]: iters left: 5 (50 enodes) 43.010 * * [simplify]: iters left: 4 (62 enodes) 43.028 * * [simplify]: iters left: 3 (81 enodes) 43.046 * * [simplify]: iters left: 2 (87 enodes) 43.059 * * [simplify]: iters left: 1 (95 enodes) 43.084 * * [simplify]: Extracting #0: cost 1 inf + 0 43.084 * * [simplify]: Extracting #1: cost 3 inf + 0 43.084 * * [simplify]: Extracting #2: cost 18 inf + 0 43.084 * * [simplify]: Extracting #3: cost 34 inf + 0 43.084 * * [simplify]: Extracting #4: cost 37 inf + 62 43.085 * * [simplify]: Extracting #5: cost 34 inf + 609 43.085 * * [simplify]: Extracting #6: cost 22 inf + 2347 43.087 * * [simplify]: Extracting #7: cost 7 inf + 6225 43.088 * * [simplify]: Extracting #8: cost 0 inf + 9030 43.090 * [simplify]: Simplified to (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 43.090 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.090 * * * * [progress]: [ 45 / 2703 ] simplifiying candidate # 43.090 * [simplify]: Simplifying (- (cos th)) 43.090 * * [simplify]: iters left: 3 (3 enodes) 43.091 * * [simplify]: iters left: 2 (9 enodes) 43.092 * * [simplify]: Extracting #0: cost 1 inf + 0 43.092 * * [simplify]: Extracting #1: cost 3 inf + 0 43.092 * * [simplify]: Extracting #2: cost 5 inf + 0 43.092 * * [simplify]: Extracting #3: cost 4 inf + 1 43.092 * * [simplify]: Extracting #4: cost 0 inf + 325 43.092 * [simplify]: Simplified to (- (cos th)) 43.092 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (- (cos th)) (- (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.092 * [simplify]: Simplifying (- (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 43.092 * * [simplify]: iters left: 6 (12 enodes) 43.096 * * [simplify]: iters left: 5 (41 enodes) 43.103 * * [simplify]: iters left: 4 (51 enodes) 43.111 * * [simplify]: iters left: 3 (63 enodes) 43.122 * * [simplify]: iters left: 2 (69 enodes) 43.141 * * [simplify]: Extracting #0: cost 1 inf + 0 43.141 * * [simplify]: Extracting #1: cost 11 inf + 0 43.141 * * [simplify]: Extracting #2: cost 23 inf + 0 43.141 * * [simplify]: Extracting #3: cost 29 inf + 0 43.141 * * [simplify]: Extracting #4: cost 31 inf + 42 43.142 * * [simplify]: Extracting #5: cost 17 inf + 1336 43.142 * * [simplify]: Extracting #6: cost 13 inf + 1983 43.144 * * [simplify]: Extracting #7: cost 3 inf + 5292 43.146 * * [simplify]: Extracting #8: cost 0 inf + 6381 43.147 * [simplify]: Simplified to (* (/ (- (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))) 43.147 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (/ (- (cos th)) (* (/ (- (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.147 * * * * [progress]: [ 46 / 2703 ] simplifiying candidate # 43.147 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 43.148 * * [simplify]: iters left: 6 (18 enodes) 43.152 * * [simplify]: iters left: 5 (63 enodes) 43.164 * * [simplify]: iters left: 4 (82 enodes) 43.176 * * [simplify]: iters left: 3 (92 enodes) 43.191 * * [simplify]: iters left: 2 (95 enodes) 43.210 * * [simplify]: Extracting #0: cost 1 inf + 0 43.210 * * [simplify]: Extracting #1: cost 11 inf + 0 43.210 * * [simplify]: Extracting #2: cost 22 inf + 0 43.210 * * [simplify]: Extracting #3: cost 30 inf + 0 43.210 * * [simplify]: Extracting #4: cost 35 inf + 62 43.210 * * [simplify]: Extracting #5: cost 35 inf + 767 43.210 * * [simplify]: Extracting #6: cost 37 inf + 809 43.211 * * [simplify]: Extracting #7: cost 25 inf + 1823 43.211 * * [simplify]: Extracting #8: cost 13 inf + 5836 43.213 * * [simplify]: Extracting #9: cost 4 inf + 11210 43.215 * * [simplify]: Extracting #10: cost 0 inf + 13826 43.217 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 43.217 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (* (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.218 * [simplify]: Simplifying (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.218 * * [simplify]: iters left: 6 (16 enodes) 43.222 * * [simplify]: iters left: 5 (51 enodes) 43.230 * * [simplify]: iters left: 4 (55 enodes) 43.240 * * [simplify]: iters left: 3 (58 enodes) 43.251 * * [simplify]: Extracting #0: cost 1 inf + 0 43.251 * * [simplify]: Extracting #1: cost 4 inf + 0 43.251 * * [simplify]: Extracting #2: cost 8 inf + 0 43.251 * * [simplify]: Extracting #3: cost 16 inf + 0 43.251 * * [simplify]: Extracting #4: cost 20 inf + 123 43.251 * * [simplify]: Extracting #5: cost 23 inf + 405 43.251 * * [simplify]: Extracting #6: cost 23 inf + 609 43.251 * * [simplify]: Extracting #7: cost 16 inf + 1136 43.252 * * [simplify]: Extracting #8: cost 8 inf + 2472 43.252 * * [simplify]: Extracting #9: cost 0 inf + 5938 43.253 * [simplify]: Simplified to (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 43.253 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.253 * * * * [progress]: [ 47 / 2703 ] simplifiying candidate # 43.253 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.254 * * [simplify]: iters left: 6 (17 enodes) 43.258 * * [simplify]: iters left: 5 (56 enodes) 43.271 * * [simplify]: iters left: 4 (64 enodes) 43.289 * * [simplify]: iters left: 3 (70 enodes) 43.307 * * [simplify]: Extracting #0: cost 1 inf + 0 43.307 * * [simplify]: Extracting #1: cost 7 inf + 0 43.307 * * [simplify]: Extracting #2: cost 14 inf + 0 43.307 * * [simplify]: Extracting #3: cost 22 inf + 0 43.307 * * [simplify]: Extracting #4: cost 28 inf + 1 43.307 * * [simplify]: Extracting #5: cost 32 inf + 62 43.307 * * [simplify]: Extracting #6: cost 29 inf + 809 43.307 * * [simplify]: Extracting #7: cost 19 inf + 1539 43.307 * * [simplify]: Extracting #8: cost 16 inf + 1864 43.308 * * [simplify]: Extracting #9: cost 3 inf + 6804 43.309 * * [simplify]: Extracting #10: cost 0 inf + 8556 43.310 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 43.311 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.311 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.311 * * [simplify]: iters left: 6 (16 enodes) 43.315 * * [simplify]: iters left: 5 (51 enodes) 43.322 * * [simplify]: iters left: 4 (55 enodes) 43.332 * * [simplify]: iters left: 3 (58 enodes) 43.346 * * [simplify]: Extracting #0: cost 1 inf + 0 43.346 * * [simplify]: Extracting #1: cost 4 inf + 0 43.346 * * [simplify]: Extracting #2: cost 8 inf + 0 43.346 * * [simplify]: Extracting #3: cost 16 inf + 0 43.346 * * [simplify]: Extracting #4: cost 20 inf + 123 43.346 * * [simplify]: Extracting #5: cost 23 inf + 405 43.347 * * [simplify]: Extracting #6: cost 23 inf + 609 43.347 * * [simplify]: Extracting #7: cost 16 inf + 1136 43.348 * * [simplify]: Extracting #8: cost 8 inf + 2472 43.349 * * [simplify]: Extracting #9: cost 0 inf + 5778 43.351 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 43.351 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.351 * * * * [progress]: [ 48 / 2703 ] simplifiying candidate # 43.351 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 43.352 * * [simplify]: iters left: 6 (17 enodes) 43.362 * * [simplify]: iters left: 5 (58 enodes) 43.377 * * [simplify]: iters left: 4 (79 enodes) 43.391 * * [simplify]: iters left: 3 (118 enodes) 43.411 * * [simplify]: iters left: 2 (168 enodes) 43.468 * * [simplify]: iters left: 1 (198 enodes) 43.525 * * [simplify]: Extracting #0: cost 1 inf + 0 43.525 * * [simplify]: Extracting #1: cost 25 inf + 0 43.525 * * [simplify]: Extracting #2: cost 51 inf + 0 43.526 * * [simplify]: Extracting #3: cost 57 inf + 0 43.526 * * [simplify]: Extracting #4: cost 54 inf + 266 43.527 * * [simplify]: Extracting #5: cost 46 inf + 3024 43.528 * * [simplify]: Extracting #6: cost 41 inf + 3711 43.530 * * [simplify]: Extracting #7: cost 27 inf + 7602 43.535 * * [simplify]: Extracting #8: cost 2 inf + 20127 43.539 * * [simplify]: Extracting #9: cost 0 inf + 21255 43.543 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 43.543 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.544 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.544 * * [simplify]: iters left: 6 (15 enodes) 43.548 * * [simplify]: iters left: 5 (48 enodes) 43.555 * * [simplify]: iters left: 4 (53 enodes) 43.563 * * [simplify]: iters left: 3 (57 enodes) 43.571 * * [simplify]: Extracting #0: cost 1 inf + 0 43.572 * * [simplify]: Extracting #1: cost 8 inf + 0 43.572 * * [simplify]: Extracting #2: cost 17 inf + 0 43.572 * * [simplify]: Extracting #3: cost 23 inf + 0 43.572 * * [simplify]: Extracting #4: cost 24 inf + 2 43.572 * * [simplify]: Extracting #5: cost 25 inf + 225 43.572 * * [simplify]: Extracting #6: cost 14 inf + 1418 43.572 * * [simplify]: Extracting #7: cost 7 inf + 2551 43.573 * * [simplify]: Extracting #8: cost 0 inf + 5372 43.575 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) 43.575 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.575 * * * * [progress]: [ 49 / 2703 ] simplifiying candidate # 43.575 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 43.575 * * [simplify]: iters left: 6 (17 enodes) 43.581 * * [simplify]: iters left: 5 (57 enodes) 43.599 * * [simplify]: iters left: 4 (70 enodes) 43.620 * * [simplify]: iters left: 3 (89 enodes) 43.645 * * [simplify]: iters left: 2 (102 enodes) 43.671 * * [simplify]: iters left: 1 (107 enodes) 43.686 * * [simplify]: Extracting #0: cost 1 inf + 0 43.686 * * [simplify]: Extracting #1: cost 17 inf + 0 43.687 * * [simplify]: Extracting #2: cost 35 inf + 0 43.687 * * [simplify]: Extracting #3: cost 42 inf + 0 43.687 * * [simplify]: Extracting #4: cost 41 inf + 104 43.687 * * [simplify]: Extracting #5: cost 34 inf + 2199 43.688 * * [simplify]: Extracting #6: cost 26 inf + 3711 43.688 * * [simplify]: Extracting #7: cost 13 inf + 6758 43.690 * * [simplify]: Extracting #8: cost 0 inf + 13002 43.692 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 43.692 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.692 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 43.692 * * [simplify]: iters left: 6 (15 enodes) 43.699 * * [simplify]: iters left: 5 (48 enodes) 43.714 * * [simplify]: iters left: 4 (53 enodes) 43.730 * * [simplify]: iters left: 3 (57 enodes) 43.742 * * [simplify]: Extracting #0: cost 1 inf + 0 43.742 * * [simplify]: Extracting #1: cost 8 inf + 0 43.742 * * [simplify]: Extracting #2: cost 17 inf + 0 43.742 * * [simplify]: Extracting #3: cost 23 inf + 0 43.742 * * [simplify]: Extracting #4: cost 24 inf + 2 43.742 * * [simplify]: Extracting #5: cost 25 inf + 225 43.742 * * [simplify]: Extracting #6: cost 14 inf + 1418 43.743 * * [simplify]: Extracting #7: cost 7 inf + 2591 43.743 * * [simplify]: Extracting #8: cost 0 inf + 5452 43.744 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) 43.744 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.744 * * * * [progress]: [ 50 / 2703 ] simplifiying candidate # 43.745 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.745 * * [simplify]: iters left: 6 (16 enodes) 43.749 * * [simplify]: iters left: 5 (53 enodes) 43.757 * * [simplify]: iters left: 4 (66 enodes) 43.767 * * [simplify]: iters left: 3 (85 enodes) 43.782 * * [simplify]: iters left: 2 (98 enodes) 43.796 * * [simplify]: iters left: 1 (103 enodes) 43.822 * * [simplify]: Extracting #0: cost 1 inf + 0 43.822 * * [simplify]: Extracting #1: cost 17 inf + 0 43.823 * * [simplify]: Extracting #2: cost 34 inf + 0 43.823 * * [simplify]: Extracting #3: cost 40 inf + 0 43.823 * * [simplify]: Extracting #4: cost 39 inf + 104 43.823 * * [simplify]: Extracting #5: cost 34 inf + 1555 43.824 * * [simplify]: Extracting #6: cost 24 inf + 3711 43.826 * * [simplify]: Extracting #7: cost 10 inf + 7264 43.828 * * [simplify]: Extracting #8: cost 0 inf + 11758 43.830 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 43.830 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.830 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.830 * * [simplify]: iters left: 6 (15 enodes) 43.834 * * [simplify]: iters left: 5 (48 enodes) 43.841 * * [simplify]: iters left: 4 (53 enodes) 43.849 * * [simplify]: iters left: 3 (57 enodes) 43.860 * * [simplify]: Extracting #0: cost 1 inf + 0 43.861 * * [simplify]: Extracting #1: cost 8 inf + 0 43.861 * * [simplify]: Extracting #2: cost 17 inf + 0 43.861 * * [simplify]: Extracting #3: cost 23 inf + 0 43.861 * * [simplify]: Extracting #4: cost 24 inf + 2 43.861 * * [simplify]: Extracting #5: cost 25 inf + 225 43.861 * * [simplify]: Extracting #6: cost 14 inf + 1418 43.862 * * [simplify]: Extracting #7: cost 7 inf + 2471 43.863 * * [simplify]: Extracting #8: cost 0 inf + 5052 43.863 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 43.863 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.863 * * * * [progress]: [ 51 / 2703 ] simplifiying candidate # 43.864 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) 43.864 * * [simplify]: iters left: 6 (11 enodes) 43.867 * * [simplify]: iters left: 5 (39 enodes) 43.874 * * [simplify]: iters left: 4 (45 enodes) 43.882 * * [simplify]: iters left: 3 (59 enodes) 43.896 * * [simplify]: iters left: 2 (68 enodes) 43.915 * * [simplify]: iters left: 1 (69 enodes) 43.922 * * [simplify]: Extracting #0: cost 1 inf + 0 43.922 * * [simplify]: Extracting #1: cost 8 inf + 0 43.922 * * [simplify]: Extracting #2: cost 14 inf + 1 43.922 * * [simplify]: Extracting #3: cost 18 inf + 1 43.922 * * [simplify]: Extracting #4: cost 14 inf + 165 43.922 * * [simplify]: Extracting #5: cost 11 inf + 388 43.923 * * [simplify]: Extracting #6: cost 5 inf + 1516 43.923 * * [simplify]: Extracting #7: cost 0 inf + 2985 43.923 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) 43.923 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.924 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 43.924 * * [simplify]: iters left: 6 (14 enodes) 43.927 * * [simplify]: iters left: 5 (45 enodes) 43.934 * * [simplify]: iters left: 4 (50 enodes) 43.942 * * [simplify]: iters left: 3 (54 enodes) 43.952 * * [simplify]: Extracting #0: cost 1 inf + 0 43.952 * * [simplify]: Extracting #1: cost 8 inf + 0 43.953 * * [simplify]: Extracting #2: cost 17 inf + 0 43.953 * * [simplify]: Extracting #3: cost 24 inf + 0 43.953 * * [simplify]: Extracting #4: cost 21 inf + 407 43.953 * * [simplify]: Extracting #5: cost 11 inf + 1459 43.954 * * [simplify]: Extracting #6: cost 3 inf + 3238 43.955 * * [simplify]: Extracting #7: cost 0 inf + 4408 43.956 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 43.956 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.957 * * * * [progress]: [ 52 / 2703 ] simplifiying candidate # 43.957 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 43.957 * * [simplify]: iters left: 6 (16 enodes) 43.965 * * [simplify]: iters left: 5 (53 enodes) 43.981 * * [simplify]: iters left: 4 (66 enodes) 44.002 * * [simplify]: iters left: 3 (85 enodes) 44.024 * * [simplify]: iters left: 2 (98 enodes) 44.039 * * [simplify]: iters left: 1 (103 enodes) 44.055 * * [simplify]: Extracting #0: cost 1 inf + 0 44.055 * * [simplify]: Extracting #1: cost 17 inf + 0 44.055 * * [simplify]: Extracting #2: cost 34 inf + 0 44.056 * * [simplify]: Extracting #3: cost 40 inf + 0 44.056 * * [simplify]: Extracting #4: cost 39 inf + 104 44.057 * * [simplify]: Extracting #5: cost 34 inf + 1555 44.058 * * [simplify]: Extracting #6: cost 24 inf + 3711 44.060 * * [simplify]: Extracting #7: cost 10 inf + 7264 44.063 * * [simplify]: Extracting #8: cost 0 inf + 11758 44.067 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 44.067 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 44.068 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 44.068 * * [simplify]: iters left: 6 (15 enodes) 44.075 * * [simplify]: iters left: 5 (48 enodes) 44.090 * * [simplify]: iters left: 4 (53 enodes) 44.104 * * [simplify]: iters left: 3 (57 enodes) 44.113 * * [simplify]: Extracting #0: cost 1 inf + 0 44.113 * * [simplify]: Extracting #1: cost 8 inf + 0 44.113 * * [simplify]: Extracting #2: cost 17 inf + 0 44.113 * * [simplify]: Extracting #3: cost 23 inf + 0 44.113 * * [simplify]: Extracting #4: cost 24 inf + 2 44.114 * * [simplify]: Extracting #5: cost 25 inf + 225 44.114 * * [simplify]: Extracting #6: cost 14 inf + 1418 44.114 * * [simplify]: Extracting #7: cost 7 inf + 2471 44.115 * * [simplify]: Extracting #8: cost 0 inf + 5052 44.115 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 44.115 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 44.116 * * * * [progress]: [ 53 / 2703 ] simplifiying candidate # 44.116 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) 44.116 * * [simplify]: iters left: 6 (10 enodes) 44.119 * * [simplify]: iters left: 5 (34 enodes) 44.125 * * [simplify]: iters left: 4 (42 enodes) 44.134 * * [simplify]: iters left: 3 (56 enodes) 44.144 * * [simplify]: iters left: 2 (66 enodes) 44.155 * * [simplify]: iters left: 1 (73 enodes) 44.165 * * [simplify]: Extracting #0: cost 1 inf + 0 44.165 * * [simplify]: Extracting #1: cost 12 inf + 0 44.165 * * [simplify]: Extracting #2: cost 20 inf + 1 44.165 * * [simplify]: Extracting #3: cost 24 inf + 1 44.165 * * [simplify]: Extracting #4: cost 20 inf + 105 44.165 * * [simplify]: Extracting #5: cost 10 inf + 1557 44.166 * * [simplify]: Extracting #6: cost 1 inf + 4196 44.167 * * [simplify]: Extracting #7: cost 0 inf + 4538 44.167 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) 44.167 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 44.168 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 44.168 * * [simplify]: iters left: 6 (14 enodes) 44.171 * * [simplify]: iters left: 5 (45 enodes) 44.178 * * [simplify]: iters left: 4 (50 enodes) 44.190 * * [simplify]: iters left: 3 (54 enodes) 44.198 * * [simplify]: Extracting #0: cost 1 inf + 0 44.199 * * [simplify]: Extracting #1: cost 8 inf + 0 44.199 * * [simplify]: Extracting #2: cost 17 inf + 0 44.199 * * [simplify]: Extracting #3: cost 24 inf + 0 44.199 * * [simplify]: Extracting #4: cost 21 inf + 407 44.199 * * [simplify]: Extracting #5: cost 11 inf + 1459 44.199 * * [simplify]: Extracting #6: cost 3 inf + 3238 44.200 * * [simplify]: Extracting #7: cost 0 inf + 4408 44.201 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 44.201 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 44.201 * * * * [progress]: [ 54 / 2703 ] simplifiying candidate # 44.201 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 44.201 * * [simplify]: iters left: 6 (6 enodes) 44.203 * * [simplify]: iters left: 5 (20 enodes) 44.207 * * [simplify]: iters left: 4 (30 enodes) 44.212 * * [simplify]: iters left: 3 (31 enodes) 44.218 * * [simplify]: Extracting #0: cost 1 inf + 0 44.218 * * [simplify]: Extracting #1: cost 5 inf + 0 44.218 * * [simplify]: Extracting #2: cost 7 inf + 1 44.218 * * [simplify]: Extracting #3: cost 9 inf + 1 44.218 * * [simplify]: Extracting #4: cost 8 inf + 2 44.218 * * [simplify]: Extracting #5: cost 0 inf + 1132 44.219 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 44.219 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 44.219 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 44.219 * * [simplify]: iters left: 6 (15 enodes) 44.223 * * [simplify]: iters left: 5 (50 enodes) 44.232 * * [simplify]: iters left: 4 (62 enodes) 44.242 * * [simplify]: iters left: 3 (81 enodes) 44.254 * * [simplify]: iters left: 2 (87 enodes) 44.274 * * [simplify]: iters left: 1 (95 enodes) 44.299 * * [simplify]: Extracting #0: cost 1 inf + 0 44.300 * * [simplify]: Extracting #1: cost 16 inf + 0 44.300 * * [simplify]: Extracting #2: cost 32 inf + 0 44.300 * * [simplify]: Extracting #3: cost 39 inf + 0 44.300 * * [simplify]: Extracting #4: cost 37 inf + 266 44.301 * * [simplify]: Extracting #5: cost 24 inf + 2644 44.302 * * [simplify]: Extracting #6: cost 11 inf + 5067 44.305 * * [simplify]: Extracting #7: cost 2 inf + 8838 44.308 * * [simplify]: Extracting #8: cost 0 inf + 9504 44.310 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 44.311 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 44.311 * * * * [progress]: [ 55 / 2703 ] simplifiying candidate # 44.311 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 44.311 * * [simplify]: iters left: 6 (9 enodes) 44.316 * * [simplify]: iters left: 5 (33 enodes) 44.327 * * [simplify]: iters left: 4 (48 enodes) 44.345 * * [simplify]: iters left: 3 (55 enodes) 44.360 * * [simplify]: iters left: 2 (58 enodes) 44.375 * * [simplify]: Extracting #0: cost 1 inf + 0 44.375 * * [simplify]: Extracting #1: cost 11 inf + 0 44.376 * * [simplify]: Extracting #2: cost 22 inf + 0 44.376 * * [simplify]: Extracting #3: cost 26 inf + 0 44.376 * * [simplify]: Extracting #4: cost 22 inf + 104 44.377 * * [simplify]: Extracting #5: cost 7 inf + 3466 44.378 * * [simplify]: Extracting #6: cost 0 inf + 5358 44.379 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 44.379 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 44.380 * [simplify]: Simplifying (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 44.380 * * [simplify]: iters left: 6 (12 enodes) 44.386 * * [simplify]: iters left: 5 (41 enodes) 44.398 * * [simplify]: iters left: 4 (44 enodes) 44.411 * * [simplify]: iters left: 3 (52 enodes) 44.420 * * [simplify]: iters left: 2 (54 enodes) 44.427 * * [simplify]: iters left: 1 (59 enodes) 44.436 * * [simplify]: Extracting #0: cost 1 inf + 0 44.436 * * [simplify]: Extracting #1: cost 8 inf + 0 44.436 * * [simplify]: Extracting #2: cost 13 inf + 1 44.436 * * [simplify]: Extracting #3: cost 18 inf + 1 44.436 * * [simplify]: Extracting #4: cost 20 inf + 63 44.436 * * [simplify]: Extracting #5: cost 10 inf + 754 44.436 * * [simplify]: Extracting #6: cost 4 inf + 1847 44.437 * * [simplify]: Extracting #7: cost 1 inf + 2596 44.437 * * [simplify]: Extracting #8: cost 0 inf + 2799 44.438 * [simplify]: Simplified to (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) 44.438 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 44.438 * * * * [progress]: [ 56 / 2703 ] simplifiying candidate # 44.438 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 44.438 * * [simplify]: iters left: 6 (19 enodes) 44.445 * * [simplify]: iters left: 5 (80 enodes) 44.472 * * [simplify]: iters left: 4 (157 enodes) 44.518 * * [simplify]: iters left: 3 (314 enodes) 44.647 * * [simplify]: Extracting #0: cost 1 inf + 0 44.647 * * [simplify]: Extracting #1: cost 27 inf + 0 44.647 * * [simplify]: Extracting #2: cost 54 inf + 0 44.648 * * [simplify]: Extracting #3: cost 61 inf + 0 44.648 * * [simplify]: Extracting #4: cost 84 inf + 447 44.650 * * [simplify]: Extracting #5: cost 104 inf + 5858 44.655 * * [simplify]: Extracting #6: cost 66 inf + 19153 44.666 * * [simplify]: Extracting #7: cost 13 inf + 39328 44.680 * * [simplify]: Extracting #8: cost 2 inf + 43155 44.694 * * [simplify]: Extracting #9: cost 0 inf + 43910 44.708 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) 44.708 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 44.708 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 44.708 * * [simplify]: iters left: 6 (14 enodes) 44.715 * * [simplify]: iters left: 5 (64 enodes) 44.743 * * [simplify]: iters left: 4 (131 enodes) 44.795 * * [simplify]: iters left: 3 (246 enodes) 44.896 * * [simplify]: iters left: 2 (378 enodes) 45.023 * * [simplify]: Extracting #0: cost 1 inf + 0 45.023 * * [simplify]: Extracting #1: cost 4 inf + 0 45.024 * * [simplify]: Extracting #2: cost 8 inf + 0 45.024 * * [simplify]: Extracting #3: cost 29 inf + 0 45.024 * * [simplify]: Extracting #4: cost 153 inf + 62 45.026 * * [simplify]: Extracting #5: cost 215 inf + 876 45.031 * * [simplify]: Extracting #6: cost 135 inf + 12298 45.043 * * [simplify]: Extracting #7: cost 32 inf + 30324 45.062 * * [simplify]: Extracting #8: cost 0 inf + 36131 45.077 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))))) 45.077 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.077 * * * * [progress]: [ 57 / 2703 ] simplifiying candidate # 45.077 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 45.078 * * [simplify]: iters left: 6 (18 enodes) 45.087 * * [simplify]: iters left: 5 (73 enodes) 45.108 * * [simplify]: iters left: 4 (127 enodes) 45.131 * * [simplify]: iters left: 3 (241 enodes) 45.203 * * [simplify]: iters left: 2 (449 enodes) 45.409 * * [simplify]: Extracting #0: cost 1 inf + 0 45.409 * * [simplify]: Extracting #1: cost 28 inf + 0 45.410 * * [simplify]: Extracting #2: cost 54 inf + 0 45.410 * * [simplify]: Extracting #3: cost 105 inf + 0 45.411 * * [simplify]: Extracting #4: cost 192 inf + 1414 45.412 * * [simplify]: Extracting #5: cost 210 inf + 7730 45.418 * * [simplify]: Extracting #6: cost 84 inf + 31581 45.440 * * [simplify]: Extracting #7: cost 19 inf + 50427 45.461 * * [simplify]: Extracting #8: cost 0 inf + 56153 45.476 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 45.476 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.476 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) 45.476 * * [simplify]: iters left: 6 (10 enodes) 45.479 * * [simplify]: iters left: 5 (35 enodes) 45.486 * * [simplify]: iters left: 4 (48 enodes) 45.500 * * [simplify]: iters left: 3 (65 enodes) 45.517 * * [simplify]: iters left: 2 (106 enodes) 45.536 * * [simplify]: iters left: 1 (189 enodes) 45.592 * * [simplify]: Extracting #0: cost 1 inf + 0 45.592 * * [simplify]: Extracting #1: cost 4 inf + 0 45.593 * * [simplify]: Extracting #2: cost 8 inf + 0 45.593 * * [simplify]: Extracting #3: cost 30 inf + 0 45.593 * * [simplify]: Extracting #4: cost 62 inf + 62 45.594 * * [simplify]: Extracting #5: cost 50 inf + 1361 45.596 * * [simplify]: Extracting #6: cost 18 inf + 4882 45.599 * * [simplify]: Extracting #7: cost 0 inf + 7038 45.603 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) 45.603 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.603 * * * * [progress]: [ 58 / 2703 ] simplifiying candidate # 45.603 * [simplify]: Simplifying (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 45.604 * * [simplify]: iters left: 6 (17 enodes) 45.612 * * [simplify]: iters left: 5 (56 enodes) 45.629 * * [simplify]: iters left: 4 (62 enodes) 45.647 * * [simplify]: iters left: 3 (65 enodes) 45.666 * * [simplify]: Extracting #0: cost 1 inf + 0 45.666 * * [simplify]: Extracting #1: cost 6 inf + 0 45.666 * * [simplify]: Extracting #2: cost 12 inf + 0 45.666 * * [simplify]: Extracting #3: cost 20 inf + 0 45.667 * * [simplify]: Extracting #4: cost 26 inf + 1 45.667 * * [simplify]: Extracting #5: cost 30 inf + 62 45.667 * * [simplify]: Extracting #6: cost 28 inf + 488 45.667 * * [simplify]: Extracting #7: cost 21 inf + 1015 45.668 * * [simplify]: Extracting #8: cost 14 inf + 1907 45.669 * * [simplify]: Extracting #9: cost 1 inf + 7408 45.672 * * [simplify]: Extracting #10: cost 0 inf + 7992 45.674 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 45.674 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.674 * [simplify]: Simplifying (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.674 * * [simplify]: iters left: 6 (16 enodes) 45.682 * * [simplify]: iters left: 5 (51 enodes) 45.697 * * [simplify]: iters left: 4 (55 enodes) 45.713 * * [simplify]: iters left: 3 (58 enodes) 45.732 * * [simplify]: Extracting #0: cost 1 inf + 0 45.732 * * [simplify]: Extracting #1: cost 4 inf + 0 45.732 * * [simplify]: Extracting #2: cost 8 inf + 0 45.732 * * [simplify]: Extracting #3: cost 16 inf + 0 45.733 * * [simplify]: Extracting #4: cost 20 inf + 123 45.733 * * [simplify]: Extracting #5: cost 23 inf + 325 45.733 * * [simplify]: Extracting #6: cost 23 inf + 529 45.733 * * [simplify]: Extracting #7: cost 16 inf + 1056 45.734 * * [simplify]: Extracting #8: cost 8 inf + 2392 45.735 * * [simplify]: Extracting #9: cost 0 inf + 5778 45.737 * [simplify]: Simplified to (/ (sqrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 45.737 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.737 * * * * [progress]: [ 59 / 2703 ] simplifiying candidate # 45.737 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.738 * * [simplify]: iters left: 6 (16 enodes) 45.745 * * [simplify]: iters left: 5 (51 enodes) 45.760 * * [simplify]: iters left: 4 (55 enodes) 45.768 * * [simplify]: iters left: 3 (58 enodes) 45.777 * * [simplify]: Extracting #0: cost 1 inf + 0 45.777 * * [simplify]: Extracting #1: cost 4 inf + 0 45.777 * * [simplify]: Extracting #2: cost 8 inf + 0 45.777 * * [simplify]: Extracting #3: cost 16 inf + 0 45.777 * * [simplify]: Extracting #4: cost 20 inf + 123 45.777 * * [simplify]: Extracting #5: cost 23 inf + 325 45.777 * * [simplify]: Extracting #6: cost 23 inf + 529 45.778 * * [simplify]: Extracting #7: cost 16 inf + 1056 45.778 * * [simplify]: Extracting #8: cost 8 inf + 2392 45.779 * * [simplify]: Extracting #9: cost 0 inf + 5618 45.779 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 45.779 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (sqrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (/ (sqrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.780 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.780 * * [simplify]: iters left: 6 (16 enodes) 45.784 * * [simplify]: iters left: 5 (51 enodes) 45.791 * * [simplify]: iters left: 4 (55 enodes) 45.800 * * [simplify]: iters left: 3 (58 enodes) 45.809 * * [simplify]: Extracting #0: cost 1 inf + 0 45.809 * * [simplify]: Extracting #1: cost 4 inf + 0 45.809 * * [simplify]: Extracting #2: cost 8 inf + 0 45.809 * * [simplify]: Extracting #3: cost 16 inf + 0 45.809 * * [simplify]: Extracting #4: cost 20 inf + 123 45.809 * * [simplify]: Extracting #5: cost 23 inf + 325 45.809 * * [simplify]: Extracting #6: cost 23 inf + 529 45.809 * * [simplify]: Extracting #7: cost 16 inf + 1056 45.810 * * [simplify]: Extracting #8: cost 8 inf + 2392 45.810 * * [simplify]: Extracting #9: cost 0 inf + 5618 45.811 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 45.811 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.811 * * * * [progress]: [ 60 / 2703 ] simplifiying candidate # 45.811 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 45.812 * * [simplify]: iters left: 6 (16 enodes) 45.816 * * [simplify]: iters left: 5 (53 enodes) 45.826 * * [simplify]: iters left: 4 (64 enodes) 45.841 * * [simplify]: iters left: 3 (76 enodes) 45.863 * * [simplify]: iters left: 2 (84 enodes) 45.878 * * [simplify]: iters left: 1 (90 enodes) 45.890 * * [simplify]: Extracting #0: cost 1 inf + 0 45.890 * * [simplify]: Extracting #1: cost 14 inf + 0 45.890 * * [simplify]: Extracting #2: cost 29 inf + 0 45.890 * * [simplify]: Extracting #3: cost 35 inf + 0 45.891 * * [simplify]: Extracting #4: cost 32 inf + 266 45.891 * * [simplify]: Extracting #5: cost 29 inf + 1436 45.891 * * [simplify]: Extracting #6: cost 25 inf + 1741 45.891 * * [simplify]: Extracting #7: cost 17 inf + 2794 45.893 * * [simplify]: Extracting #8: cost 4 inf + 8214 45.894 * * [simplify]: Extracting #9: cost 0 inf + 10128 45.896 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (sqrt (cos th)))) 45.896 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (sqrt (cos th)))) (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.896 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.896 * * [simplify]: iters left: 6 (15 enodes) 45.900 * * [simplify]: iters left: 5 (48 enodes) 45.907 * * [simplify]: iters left: 4 (53 enodes) 45.915 * * [simplify]: iters left: 3 (57 enodes) 45.926 * * [simplify]: Extracting #0: cost 1 inf + 0 45.926 * * [simplify]: Extracting #1: cost 8 inf + 0 45.926 * * [simplify]: Extracting #2: cost 17 inf + 0 45.926 * * [simplify]: Extracting #3: cost 23 inf + 0 45.926 * * [simplify]: Extracting #4: cost 24 inf + 2 45.926 * * [simplify]: Extracting #5: cost 25 inf + 225 45.927 * * [simplify]: Extracting #6: cost 14 inf + 1258 45.927 * * [simplify]: Extracting #7: cost 7 inf + 2391 45.928 * * [simplify]: Extracting #8: cost 0 inf + 5052 45.930 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) 45.930 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.930 * * * * [progress]: [ 61 / 2703 ] simplifiying candidate # 45.930 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 45.931 * * [simplify]: iters left: 6 (16 enodes) 45.939 * * [simplify]: iters left: 5 (52 enodes) 45.954 * * [simplify]: iters left: 4 (57 enodes) 45.971 * * [simplify]: iters left: 3 (61 enodes) 45.987 * * [simplify]: Extracting #0: cost 1 inf + 0 45.987 * * [simplify]: Extracting #1: cost 8 inf + 0 45.988 * * [simplify]: Extracting #2: cost 18 inf + 0 45.988 * * [simplify]: Extracting #3: cost 25 inf + 0 45.988 * * [simplify]: Extracting #4: cost 22 inf + 266 45.988 * * [simplify]: Extracting #5: cost 20 inf + 1174 45.989 * * [simplify]: Extracting #6: cost 15 inf + 1299 45.989 * * [simplify]: Extracting #7: cost 7 inf + 2714 45.990 * * [simplify]: Extracting #8: cost 0 inf + 5616 45.991 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 45.991 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (* (sqrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 45.991 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 45.991 * * [simplify]: iters left: 6 (15 enodes) 45.995 * * [simplify]: iters left: 5 (48 enodes) 46.002 * * [simplify]: iters left: 4 (53 enodes) 46.010 * * [simplify]: iters left: 3 (57 enodes) 46.019 * * [simplify]: Extracting #0: cost 1 inf + 0 46.019 * * [simplify]: Extracting #1: cost 8 inf + 0 46.019 * * [simplify]: Extracting #2: cost 17 inf + 0 46.019 * * [simplify]: Extracting #3: cost 23 inf + 0 46.019 * * [simplify]: Extracting #4: cost 24 inf + 2 46.019 * * [simplify]: Extracting #5: cost 25 inf + 225 46.019 * * [simplify]: Extracting #6: cost 14 inf + 1258 46.019 * * [simplify]: Extracting #7: cost 7 inf + 2431 46.020 * * [simplify]: Extracting #8: cost 0 inf + 5132 46.021 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) 46.021 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.021 * * * * [progress]: [ 62 / 2703 ] simplifiying candidate # 46.021 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.021 * * [simplify]: iters left: 6 (15 enodes) 46.025 * * [simplify]: iters left: 5 (48 enodes) 46.032 * * [simplify]: iters left: 4 (53 enodes) 46.045 * * [simplify]: iters left: 3 (57 enodes) 46.060 * * [simplify]: Extracting #0: cost 1 inf + 0 46.060 * * [simplify]: Extracting #1: cost 8 inf + 0 46.061 * * [simplify]: Extracting #2: cost 17 inf + 0 46.061 * * [simplify]: Extracting #3: cost 23 inf + 0 46.061 * * [simplify]: Extracting #4: cost 24 inf + 2 46.061 * * [simplify]: Extracting #5: cost 25 inf + 225 46.061 * * [simplify]: Extracting #6: cost 14 inf + 1258 46.062 * * [simplify]: Extracting #7: cost 7 inf + 2311 46.063 * * [simplify]: Extracting #8: cost 0 inf + 4732 46.065 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 46.065 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.066 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.066 * * [simplify]: iters left: 6 (15 enodes) 46.073 * * [simplify]: iters left: 5 (48 enodes) 46.087 * * [simplify]: iters left: 4 (53 enodes) 46.103 * * [simplify]: iters left: 3 (57 enodes) 46.119 * * [simplify]: Extracting #0: cost 1 inf + 0 46.119 * * [simplify]: Extracting #1: cost 8 inf + 0 46.119 * * [simplify]: Extracting #2: cost 17 inf + 0 46.120 * * [simplify]: Extracting #3: cost 23 inf + 0 46.120 * * [simplify]: Extracting #4: cost 24 inf + 2 46.120 * * [simplify]: Extracting #5: cost 25 inf + 225 46.120 * * [simplify]: Extracting #6: cost 14 inf + 1258 46.121 * * [simplify]: Extracting #7: cost 7 inf + 2311 46.122 * * [simplify]: Extracting #8: cost 0 inf + 4732 46.123 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 46.123 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.124 * * * * [progress]: [ 63 / 2703 ] simplifiying candidate # 46.124 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt 1))) 46.124 * * [simplify]: iters left: 6 (10 enodes) 46.129 * * [simplify]: iters left: 5 (34 enodes) 46.134 * * [simplify]: iters left: 4 (36 enodes) 46.140 * * [simplify]: iters left: 3 (42 enodes) 46.146 * * [simplify]: iters left: 2 (44 enodes) 46.152 * * [simplify]: Extracting #0: cost 1 inf + 0 46.152 * * [simplify]: Extracting #1: cost 5 inf + 0 46.152 * * [simplify]: Extracting #2: cost 8 inf + 1 46.152 * * [simplify]: Extracting #3: cost 12 inf + 1 46.152 * * [simplify]: Extracting #4: cost 10 inf + 3 46.152 * * [simplify]: Extracting #5: cost 5 inf + 388 46.152 * * [simplify]: Extracting #6: cost 0 inf + 1175 46.152 * [simplify]: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) 46.153 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.153 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 46.153 * * [simplify]: iters left: 6 (14 enodes) 46.158 * * [simplify]: iters left: 5 (45 enodes) 46.174 * * [simplify]: iters left: 4 (50 enodes) 46.189 * * [simplify]: iters left: 3 (54 enodes) 46.203 * * [simplify]: Extracting #0: cost 1 inf + 0 46.204 * * [simplify]: Extracting #1: cost 8 inf + 0 46.204 * * [simplify]: Extracting #2: cost 17 inf + 0 46.204 * * [simplify]: Extracting #3: cost 24 inf + 0 46.204 * * [simplify]: Extracting #4: cost 21 inf + 407 46.204 * * [simplify]: Extracting #5: cost 11 inf + 1299 46.205 * * [simplify]: Extracting #6: cost 3 inf + 2998 46.206 * * [simplify]: Extracting #7: cost 0 inf + 4088 46.207 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 46.208 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.208 * * * * [progress]: [ 64 / 2703 ] simplifiying candidate # 46.208 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.208 * * [simplify]: iters left: 6 (15 enodes) 46.216 * * [simplify]: iters left: 5 (48 enodes) 46.229 * * [simplify]: iters left: 4 (53 enodes) 46.237 * * [simplify]: iters left: 3 (57 enodes) 46.246 * * [simplify]: Extracting #0: cost 1 inf + 0 46.246 * * [simplify]: Extracting #1: cost 8 inf + 0 46.246 * * [simplify]: Extracting #2: cost 17 inf + 0 46.246 * * [simplify]: Extracting #3: cost 23 inf + 0 46.246 * * [simplify]: Extracting #4: cost 24 inf + 2 46.246 * * [simplify]: Extracting #5: cost 25 inf + 225 46.246 * * [simplify]: Extracting #6: cost 14 inf + 1258 46.247 * * [simplify]: Extracting #7: cost 7 inf + 2311 46.247 * * [simplify]: Extracting #8: cost 0 inf + 4732 46.248 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 46.248 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.248 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.248 * * [simplify]: iters left: 6 (15 enodes) 46.252 * * [simplify]: iters left: 5 (48 enodes) 46.260 * * [simplify]: iters left: 4 (53 enodes) 46.270 * * [simplify]: iters left: 3 (57 enodes) 46.279 * * [simplify]: Extracting #0: cost 1 inf + 0 46.279 * * [simplify]: Extracting #1: cost 8 inf + 0 46.279 * * [simplify]: Extracting #2: cost 17 inf + 0 46.279 * * [simplify]: Extracting #3: cost 23 inf + 0 46.279 * * [simplify]: Extracting #4: cost 24 inf + 2 46.279 * * [simplify]: Extracting #5: cost 25 inf + 225 46.280 * * [simplify]: Extracting #6: cost 14 inf + 1258 46.281 * * [simplify]: Extracting #7: cost 7 inf + 2311 46.281 * * [simplify]: Extracting #8: cost 0 inf + 4732 46.282 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 46.282 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.282 * * * * [progress]: [ 65 / 2703 ] simplifiying candidate # 46.283 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) 1)) 46.283 * * [simplify]: iters left: 6 (9 enodes) 46.286 * * [simplify]: iters left: 5 (29 enodes) 46.291 * * [simplify]: iters left: 4 (33 enodes) 46.297 * * [simplify]: iters left: 3 (38 enodes) 46.306 * * [simplify]: iters left: 2 (40 enodes) 46.318 * * [simplify]: iters left: 1 (43 enodes) 46.329 * * [simplify]: Extracting #0: cost 1 inf + 0 46.330 * * [simplify]: Extracting #1: cost 6 inf + 0 46.330 * * [simplify]: Extracting #2: cost 10 inf + 1 46.330 * * [simplify]: Extracting #3: cost 14 inf + 1 46.330 * * [simplify]: Extracting #4: cost 12 inf + 3 46.330 * * [simplify]: Extracting #5: cost 8 inf + 287 46.330 * * [simplify]: Extracting #6: cost 0 inf + 1699 46.331 * [simplify]: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) 46.331 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.332 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 46.332 * * [simplify]: iters left: 6 (14 enodes) 46.339 * * [simplify]: iters left: 5 (45 enodes) 46.353 * * [simplify]: iters left: 4 (50 enodes) 46.368 * * [simplify]: iters left: 3 (54 enodes) 46.384 * * [simplify]: Extracting #0: cost 1 inf + 0 46.384 * * [simplify]: Extracting #1: cost 8 inf + 0 46.384 * * [simplify]: Extracting #2: cost 17 inf + 0 46.384 * * [simplify]: Extracting #3: cost 24 inf + 0 46.384 * * [simplify]: Extracting #4: cost 21 inf + 407 46.384 * * [simplify]: Extracting #5: cost 11 inf + 1299 46.385 * * [simplify]: Extracting #6: cost 3 inf + 2998 46.386 * * [simplify]: Extracting #7: cost 0 inf + 4088 46.388 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) 46.388 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.388 * * * * [progress]: [ 66 / 2703 ] simplifiying candidate # 46.388 * [simplify]: Simplifying (/ (sqrt (cos th)) 1) 46.388 * * [simplify]: iters left: 4 (5 enodes) 46.391 * * [simplify]: iters left: 3 (15 enodes) 46.396 * * [simplify]: iters left: 2 (17 enodes) 46.402 * * [simplify]: iters left: 1 (19 enodes) 46.407 * * [simplify]: Extracting #0: cost 1 inf + 0 46.407 * * [simplify]: Extracting #1: cost 4 inf + 0 46.407 * * [simplify]: Extracting #2: cost 5 inf + 1 46.407 * * [simplify]: Extracting #3: cost 4 inf + 2 46.407 * * [simplify]: Extracting #4: cost 1 inf + 225 46.407 * * [simplify]: Extracting #5: cost 0 inf + 326 46.407 * [simplify]: Simplified to (sqrt (cos th)) 46.407 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (sqrt (cos th)) (/ (sqrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.408 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 46.408 * * [simplify]: iters left: 6 (15 enodes) 46.415 * * [simplify]: iters left: 5 (50 enodes) 46.426 * * [simplify]: iters left: 4 (62 enodes) 46.436 * * [simplify]: iters left: 3 (81 enodes) 46.448 * * [simplify]: iters left: 2 (87 enodes) 46.461 * * [simplify]: iters left: 1 (95 enodes) 46.473 * * [simplify]: Extracting #0: cost 1 inf + 0 46.473 * * [simplify]: Extracting #1: cost 16 inf + 0 46.473 * * [simplify]: Extracting #2: cost 32 inf + 0 46.473 * * [simplify]: Extracting #3: cost 39 inf + 0 46.474 * * [simplify]: Extracting #4: cost 37 inf + 266 46.474 * * [simplify]: Extracting #5: cost 24 inf + 2364 46.475 * * [simplify]: Extracting #6: cost 11 inf + 4627 46.476 * * [simplify]: Extracting #7: cost 2 inf + 8198 46.477 * * [simplify]: Extracting #8: cost 0 inf + 8824 46.479 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (cos th))))) 46.479 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (sqrt (cos th)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (cos th)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.479 * * * * [progress]: [ 67 / 2703 ] simplifiying candidate # 46.479 * [simplify]: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 46.479 * * [simplify]: iters left: 6 (8 enodes) 46.481 * * [simplify]: iters left: 5 (26 enodes) 46.485 * * [simplify]: iters left: 4 (28 enodes) 46.490 * * [simplify]: Extracting #0: cost 1 inf + 0 46.490 * * [simplify]: Extracting #1: cost 6 inf + 0 46.490 * * [simplify]: Extracting #2: cost 12 inf + 0 46.490 * * [simplify]: Extracting #3: cost 16 inf + 0 46.490 * * [simplify]: Extracting #4: cost 14 inf + 2 46.490 * * [simplify]: Extracting #5: cost 10 inf + 266 46.491 * * [simplify]: Extracting #6: cost 1 inf + 1798 46.491 * * [simplify]: Extracting #7: cost 0 inf + 2100 46.491 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 46.491 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.492 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 46.492 * * [simplify]: iters left: 6 (12 enodes) 46.494 * * [simplify]: iters left: 5 (41 enodes) 46.503 * * [simplify]: iters left: 4 (44 enodes) 46.519 * * [simplify]: iters left: 3 (52 enodes) 46.534 * * [simplify]: iters left: 2 (54 enodes) 46.549 * * [simplify]: iters left: 1 (59 enodes) 46.564 * * [simplify]: Extracting #0: cost 1 inf + 0 46.564 * * [simplify]: Extracting #1: cost 8 inf + 0 46.564 * * [simplify]: Extracting #2: cost 13 inf + 1 46.565 * * [simplify]: Extracting #3: cost 18 inf + 1 46.565 * * [simplify]: Extracting #4: cost 20 inf + 63 46.565 * * [simplify]: Extracting #5: cost 10 inf + 634 46.566 * * [simplify]: Extracting #6: cost 4 inf + 1647 46.566 * * [simplify]: Extracting #7: cost 1 inf + 2356 46.567 * * [simplify]: Extracting #8: cost 0 inf + 2559 46.568 * [simplify]: Simplified to (* (sqrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) 46.569 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (sqrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 46.569 * * * * [progress]: [ 68 / 2703 ] simplifiying candidate # 46.569 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 46.569 * * [simplify]: iters left: 6 (18 enodes) 46.580 * * [simplify]: iters left: 5 (75 enodes) 46.610 * * [simplify]: iters left: 4 (140 enodes) 46.673 * * [simplify]: iters left: 3 (262 enodes) 46.750 * * [simplify]: iters left: 2 (470 enodes) 46.951 * * [simplify]: Extracting #0: cost 1 inf + 0 46.951 * * [simplify]: Extracting #1: cost 16 inf + 0 46.951 * * [simplify]: Extracting #2: cost 31 inf + 0 46.952 * * [simplify]: Extracting #3: cost 38 inf + 0 46.952 * * [simplify]: Extracting #4: cost 99 inf + 225 46.954 * * [simplify]: Extracting #5: cost 194 inf + 1744 46.957 * * [simplify]: Extracting #6: cost 159 inf + 14881 46.968 * * [simplify]: Extracting #7: cost 42 inf + 62358 46.980 * * [simplify]: Extracting #8: cost 2 inf + 79667 46.988 * * [simplify]: Extracting #9: cost 0 inf + 79720 46.996 * * [simplify]: Extracting #10: cost 0 inf + 79680 47.006 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* a2 a2) (* a2 a2)) (* a2 a2)) (* (* a1 (* a1 a1)) (* a1 (* a1 a1))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (cos th)))) 47.006 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (sqrt (+ (* (* (* a2 a2) (* a2 a2)) (* a2 a2)) (* (* a1 (* a1 a1)) (* a1 (* a1 a1))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (cos th)))) (/ (sqrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 47.007 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 47.007 * * [simplify]: iters left: 6 (14 enodes) 47.014 * * [simplify]: iters left: 5 (64 enodes) 47.038 * * [simplify]: iters left: 4 (131 enodes) 47.089 * * [simplify]: iters left: 3 (246 enodes) 47.165 * * [simplify]: iters left: 2 (378 enodes) 47.318 * * [simplify]: Extracting #0: cost 1 inf + 0 47.318 * * [simplify]: Extracting #1: cost 4 inf + 0 47.318 * * [simplify]: Extracting #2: cost 8 inf + 0 47.318 * * [simplify]: Extracting #3: cost 29 inf + 0 47.319 * * [simplify]: Extracting #4: cost 153 inf + 62 47.320 * * [simplify]: Extracting #5: cost 215 inf + 836 47.322 * * [simplify]: Extracting #6: cost 135 inf + 12138 47.330 * * [simplify]: Extracting #7: cost 32 inf + 30164 47.343 * * [simplify]: Extracting #8: cost 0 inf + 35971 47.358 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))))) 47.358 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (+ (* (* (* a2 a2) (* a2 a2)) (* a2 a2)) (* (* a1 (* a1 a1)) (* a1 (* a1 a1))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (cos th)))) (/ (sqrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 47.359 * * * * [progress]: [ 69 / 2703 ] simplifiying candidate # 47.359 * [simplify]: Simplifying (/ (sqrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 47.359 * * [simplify]: iters left: 6 (17 enodes) 47.368 * * [simplify]: iters left: 5 (68 enodes) 47.391 * * [simplify]: iters left: 4 (110 enodes) 47.416 * * [simplify]: iters left: 3 (184 enodes) 47.461 * * [simplify]: iters left: 2 (344 enodes) 47.610 * * [simplify]: Extracting #0: cost 1 inf + 0 47.610 * * [simplify]: Extracting #1: cost 16 inf + 0 47.610 * * [simplify]: Extracting #2: cost 31 inf + 0 47.610 * * [simplify]: Extracting #3: cost 82 inf + 0 47.611 * * [simplify]: Extracting #4: cost 173 inf + 609 47.618 * * [simplify]: Extracting #5: cost 207 inf + 3409 47.626 * * [simplify]: Extracting #6: cost 109 inf + 22414 47.643 * * [simplify]: Extracting #7: cost 7 inf + 44672 47.654 * * [simplify]: Extracting #8: cost 0 inf + 45516 47.663 * [simplify]: Simplified to (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (cos th)))) 47.663 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (cos th)))) (/ (sqrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 47.664 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) 47.664 * * [simplify]: iters left: 6 (10 enodes) 47.666 * * [simplify]: iters left: 5 (35 enodes) 47.671 * * [simplify]: iters left: 4 (48 enodes) 47.678 * * [simplify]: iters left: 3 (65 enodes) 47.690 * * [simplify]: iters left: 2 (106 enodes) 47.710 * * [simplify]: iters left: 1 (189 enodes) 47.763 * * [simplify]: Extracting #0: cost 1 inf + 0 47.763 * * [simplify]: Extracting #1: cost 4 inf + 0 47.763 * * [simplify]: Extracting #2: cost 8 inf + 0 47.763 * * [simplify]: Extracting #3: cost 30 inf + 0 47.763 * * [simplify]: Extracting #4: cost 62 inf + 62 47.764 * * [simplify]: Extracting #5: cost 50 inf + 1241 47.766 * * [simplify]: Extracting #6: cost 18 inf + 4722 47.769 * * [simplify]: Extracting #7: cost 0 inf + 6878 47.773 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) 47.773 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 47.773 * * * * [progress]: [ 70 / 2703 ] simplifiying candidate # 47.773 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 47.774 * * [simplify]: iters left: 6 (15 enodes) 47.782 * * [simplify]: iters left: 5 (52 enodes) 47.798 * * [simplify]: iters left: 4 (60 enodes) 47.816 * * [simplify]: iters left: 3 (63 enodes) 47.838 * * [simplify]: Extracting #0: cost 1 inf + 0 47.838 * * [simplify]: Extracting #1: cost 6 inf + 0 47.838 * * [simplify]: Extracting #2: cost 9 inf + 1 47.838 * * [simplify]: Extracting #3: cost 15 inf + 1 47.838 * * [simplify]: Extracting #4: cost 22 inf + 1 47.838 * * [simplify]: Extracting #5: cost 27 inf + 1 47.838 * * [simplify]: Extracting #6: cost 30 inf + 2 47.838 * * [simplify]: Extracting #7: cost 22 inf + 530 47.839 * * [simplify]: Extracting #8: cost 16 inf + 1058 47.839 * * [simplify]: Extracting #9: cost 7 inf + 4163 47.840 * * [simplify]: Extracting #10: cost 0 inf + 7268 47.841 * [simplify]: Simplified to (/ 1 (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 47.841 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ 1 (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (/ (cos th) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 47.841 * [simplify]: Simplifying (/ (cos th) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 47.841 * * [simplify]: iters left: 6 (15 enodes) 47.845 * * [simplify]: iters left: 5 (48 enodes) 47.853 * * [simplify]: iters left: 4 (52 enodes) 47.861 * * [simplify]: iters left: 3 (55 enodes) 47.869 * * [simplify]: Extracting #0: cost 1 inf + 0 47.869 * * [simplify]: Extracting #1: cost 4 inf + 0 47.869 * * [simplify]: Extracting #2: cost 8 inf + 0 47.869 * * [simplify]: Extracting #3: cost 13 inf + 1 47.870 * * [simplify]: Extracting #4: cost 19 inf + 62 47.870 * * [simplify]: Extracting #5: cost 23 inf + 123 47.870 * * [simplify]: Extracting #6: cost 23 inf + 447 47.870 * * [simplify]: Extracting #7: cost 16 inf + 854 47.870 * * [simplify]: Extracting #8: cost 7 inf + 2794 47.871 * * [simplify]: Extracting #9: cost 0 inf + 5496 47.872 * [simplify]: Simplified to (/ (cos th) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 47.872 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ 1 (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cos th) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 47.872 * * * * [progress]: [ 71 / 2703 ] simplifiying candidate # 47.872 * [simplify]: Simplifying (/ 1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 47.872 * * [simplify]: iters left: 6 (14 enodes) 47.878 * * [simplify]: iters left: 5 (47 enodes) 47.893 * * [simplify]: iters left: 4 (53 enodes) 47.910 * * [simplify]: iters left: 3 (56 enodes) 47.927 * * [simplify]: Extracting #0: cost 1 inf + 0 47.927 * * [simplify]: Extracting #1: cost 4 inf + 0 47.927 * * [simplify]: Extracting #2: cost 5 inf + 1 47.928 * * [simplify]: Extracting #3: cost 11 inf + 1 47.928 * * [simplify]: Extracting #4: cost 18 inf + 1 47.928 * * [simplify]: Extracting #5: cost 23 inf + 1 47.928 * * [simplify]: Extracting #6: cost 26 inf + 2 47.928 * * [simplify]: Extracting #7: cost 16 inf + 732 47.928 * * [simplify]: Extracting #8: cost 13 inf + 936 47.929 * * [simplify]: Extracting #9: cost 4 inf + 3641 47.931 * * [simplify]: Extracting #10: cost 0 inf + 5094 47.932 * [simplify]: Simplified to (/ 1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 47.932 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ 1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 47.933 * [simplify]: Simplifying (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 47.933 * * [simplify]: iters left: 6 (15 enodes) 47.941 * * [simplify]: iters left: 5 (48 enodes) 47.957 * * [simplify]: iters left: 4 (52 enodes) 47.973 * * [simplify]: iters left: 3 (55 enodes) 47.986 * * [simplify]: Extracting #0: cost 1 inf + 0 47.986 * * [simplify]: Extracting #1: cost 4 inf + 0 47.986 * * [simplify]: Extracting #2: cost 8 inf + 0 47.986 * * [simplify]: Extracting #3: cost 13 inf + 1 47.986 * * [simplify]: Extracting #4: cost 19 inf + 62 47.986 * * [simplify]: Extracting #5: cost 23 inf + 123 47.986 * * [simplify]: Extracting #6: cost 23 inf + 447 47.986 * * [simplify]: Extracting #7: cost 16 inf + 854 47.987 * * [simplify]: Extracting #8: cost 7 inf + 2754 47.988 * * [simplify]: Extracting #9: cost 0 inf + 5336 47.988 * [simplify]: Simplified to (/ (cos th) (sqrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 47.988 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ 1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cos th) (sqrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 47.988 * * * * [progress]: [ 72 / 2703 ] simplifiying candidate # 47.989 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 47.989 * * [simplify]: iters left: 6 (14 enodes) 47.993 * * [simplify]: iters left: 5 (49 enodes) 48.001 * * [simplify]: iters left: 4 (62 enodes) 48.011 * * [simplify]: iters left: 3 (72 enodes) 48.031 * * [simplify]: iters left: 2 (87 enodes) 48.057 * * [simplify]: iters left: 1 (94 enodes) 48.085 * * [simplify]: Extracting #0: cost 1 inf + 0 48.085 * * [simplify]: Extracting #1: cost 10 inf + 0 48.085 * * [simplify]: Extracting #2: cost 18 inf + 1 48.085 * * [simplify]: Extracting #3: cost 22 inf + 1 48.085 * * [simplify]: Extracting #4: cost 24 inf + 2 48.085 * * [simplify]: Extracting #5: cost 24 inf + 326 48.086 * * [simplify]: Extracting #6: cost 18 inf + 613 48.086 * * [simplify]: Extracting #7: cost 14 inf + 1100 48.087 * * [simplify]: Extracting #8: cost 5 inf + 3721 48.088 * * [simplify]: Extracting #9: cost 0 inf + 5816 48.089 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.089 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cos th) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.089 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.089 * * [simplify]: iters left: 6 (14 enodes) 48.093 * * [simplify]: iters left: 5 (45 enodes) 48.100 * * [simplify]: iters left: 4 (50 enodes) 48.108 * * [simplify]: iters left: 3 (54 enodes) 48.116 * * [simplify]: Extracting #0: cost 1 inf + 0 48.116 * * [simplify]: Extracting #1: cost 8 inf + 0 48.116 * * [simplify]: Extracting #2: cost 17 inf + 0 48.116 * * [simplify]: Extracting #3: cost 20 inf + 1 48.116 * * [simplify]: Extracting #4: cost 18 inf + 206 48.116 * * [simplify]: Extracting #5: cost 21 inf + 327 48.116 * * [simplify]: Extracting #6: cost 15 inf + 935 48.116 * * [simplify]: Extracting #7: cost 11 inf + 1180 48.117 * * [simplify]: Extracting #8: cost 3 inf + 3360 48.118 * * [simplify]: Extracting #9: cost 0 inf + 4610 48.118 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 48.118 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cos th) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.118 * * * * [progress]: [ 73 / 2703 ] simplifiying candidate # 48.119 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 48.119 * * [simplify]: iters left: 6 (14 enodes) 48.122 * * [simplify]: iters left: 5 (48 enodes) 48.130 * * [simplify]: iters left: 4 (55 enodes) 48.139 * * [simplify]: iters left: 3 (57 enodes) 48.148 * * [simplify]: iters left: 2 (69 enodes) 48.162 * * [simplify]: Extracting #0: cost 1 inf + 0 48.162 * * [simplify]: Extracting #1: cost 7 inf + 0 48.162 * * [simplify]: Extracting #2: cost 13 inf + 1 48.162 * * [simplify]: Extracting #3: cost 18 inf + 1 48.163 * * [simplify]: Extracting #4: cost 20 inf + 2 48.163 * * [simplify]: Extracting #5: cost 21 inf + 205 48.163 * * [simplify]: Extracting #6: cost 15 inf + 572 48.163 * * [simplify]: Extracting #7: cost 9 inf + 1262 48.164 * * [simplify]: Extracting #8: cost 2 inf + 3399 48.166 * * [simplify]: Extracting #9: cost 0 inf + 4044 48.167 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))) 48.167 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))) (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.167 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 48.168 * * [simplify]: iters left: 6 (14 enodes) 48.176 * * [simplify]: iters left: 5 (45 enodes) 48.190 * * [simplify]: iters left: 4 (50 enodes) 48.205 * * [simplify]: iters left: 3 (54 enodes) 48.220 * * [simplify]: Extracting #0: cost 1 inf + 0 48.220 * * [simplify]: Extracting #1: cost 8 inf + 0 48.221 * * [simplify]: Extracting #2: cost 17 inf + 0 48.221 * * [simplify]: Extracting #3: cost 20 inf + 1 48.221 * * [simplify]: Extracting #4: cost 18 inf + 206 48.221 * * [simplify]: Extracting #5: cost 21 inf + 327 48.221 * * [simplify]: Extracting #6: cost 15 inf + 935 48.222 * * [simplify]: Extracting #7: cost 11 inf + 1180 48.223 * * [simplify]: Extracting #8: cost 3 inf + 3440 48.224 * * [simplify]: Extracting #9: cost 0 inf + 4690 48.225 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 48.225 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))) (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.226 * * * * [progress]: [ 74 / 2703 ] simplifiying candidate # 48.226 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.226 * * [simplify]: iters left: 6 (13 enodes) 48.233 * * [simplify]: iters left: 5 (44 enodes) 48.247 * * [simplify]: iters left: 4 (51 enodes) 48.262 * * [simplify]: iters left: 3 (53 enodes) 48.277 * * [simplify]: iters left: 2 (65 enodes) 48.287 * * [simplify]: Extracting #0: cost 1 inf + 0 48.287 * * [simplify]: Extracting #1: cost 7 inf + 0 48.287 * * [simplify]: Extracting #2: cost 12 inf + 1 48.287 * * [simplify]: Extracting #3: cost 16 inf + 1 48.287 * * [simplify]: Extracting #4: cost 18 inf + 2 48.287 * * [simplify]: Extracting #5: cost 19 inf + 326 48.288 * * [simplify]: Extracting #6: cost 11 inf + 775 48.288 * * [simplify]: Extracting #7: cost 8 inf + 1100 48.288 * * [simplify]: Extracting #8: cost 1 inf + 2877 48.289 * * [simplify]: Extracting #9: cost 0 inf + 3240 48.290 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))) 48.290 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))) (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.290 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.290 * * [simplify]: iters left: 6 (14 enodes) 48.293 * * [simplify]: iters left: 5 (45 enodes) 48.301 * * [simplify]: iters left: 4 (50 enodes) 48.314 * * [simplify]: iters left: 3 (54 enodes) 48.328 * * [simplify]: Extracting #0: cost 1 inf + 0 48.328 * * [simplify]: Extracting #1: cost 8 inf + 0 48.329 * * [simplify]: Extracting #2: cost 17 inf + 0 48.329 * * [simplify]: Extracting #3: cost 20 inf + 1 48.329 * * [simplify]: Extracting #4: cost 18 inf + 206 48.329 * * [simplify]: Extracting #5: cost 21 inf + 327 48.329 * * [simplify]: Extracting #6: cost 15 inf + 935 48.330 * * [simplify]: Extracting #7: cost 11 inf + 1180 48.331 * * [simplify]: Extracting #8: cost 3 inf + 3160 48.332 * * [simplify]: Extracting #9: cost 0 inf + 4290 48.333 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 48.333 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))) (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.333 * * * * [progress]: [ 75 / 2703 ] simplifiying candidate # 48.334 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) (sqrt 1))) 48.334 * * [simplify]: iters left: 6 (7 enodes) 48.339 * * [simplify]: iters left: 5 (25 enodes) 48.347 * * [simplify]: iters left: 4 (27 enodes) 48.356 * * [simplify]: iters left: 3 (32 enodes) 48.364 * * [simplify]: Extracting #0: cost 1 inf + 0 48.364 * * [simplify]: Extracting #1: cost 4 inf + 0 48.364 * * [simplify]: Extracting #2: cost 5 inf + 1 48.364 * * [simplify]: Extracting #3: cost 7 inf + 1 48.364 * * [simplify]: Extracting #4: cost 1 inf + 529 48.364 * * [simplify]: Extracting #5: cost 0 inf + 650 48.364 * [simplify]: Simplified to (/ 1 (cbrt (sqrt 2))) 48.365 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ 1 (cbrt (sqrt 2))) (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.365 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 48.365 * * [simplify]: iters left: 6 (13 enodes) 48.371 * * [simplify]: iters left: 5 (42 enodes) 48.384 * * [simplify]: iters left: 4 (47 enodes) 48.398 * * [simplify]: iters left: 3 (51 enodes) 48.407 * * [simplify]: Extracting #0: cost 1 inf + 0 48.407 * * [simplify]: Extracting #1: cost 8 inf + 0 48.407 * * [simplify]: Extracting #2: cost 17 inf + 0 48.407 * * [simplify]: Extracting #3: cost 21 inf + 1 48.408 * * [simplify]: Extracting #4: cost 22 inf + 104 48.408 * * [simplify]: Extracting #5: cost 15 inf + 592 48.408 * * [simplify]: Extracting #6: cost 10 inf + 1139 48.408 * * [simplify]: Extracting #7: cost 4 inf + 2474 48.409 * * [simplify]: Extracting #8: cost 0 inf + 3646 48.409 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (cbrt (sqrt 2)))) 48.409 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ 1 (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.409 * * * * [progress]: [ 76 / 2703 ] simplifiying candidate # 48.410 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.410 * * [simplify]: iters left: 6 (13 enodes) 48.413 * * [simplify]: iters left: 5 (44 enodes) 48.421 * * [simplify]: iters left: 4 (51 enodes) 48.429 * * [simplify]: iters left: 3 (53 enodes) 48.443 * * [simplify]: iters left: 2 (65 enodes) 48.463 * * [simplify]: Extracting #0: cost 1 inf + 0 48.463 * * [simplify]: Extracting #1: cost 7 inf + 0 48.463 * * [simplify]: Extracting #2: cost 12 inf + 1 48.463 * * [simplify]: Extracting #3: cost 16 inf + 1 48.463 * * [simplify]: Extracting #4: cost 18 inf + 2 48.463 * * [simplify]: Extracting #5: cost 19 inf + 326 48.464 * * [simplify]: Extracting #6: cost 11 inf + 775 48.464 * * [simplify]: Extracting #7: cost 8 inf + 1100 48.465 * * [simplify]: Extracting #8: cost 1 inf + 2877 48.466 * * [simplify]: Extracting #9: cost 0 inf + 3240 48.467 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))) 48.467 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))) (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.468 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.468 * * [simplify]: iters left: 6 (14 enodes) 48.475 * * [simplify]: iters left: 5 (45 enodes) 48.490 * * [simplify]: iters left: 4 (50 enodes) 48.504 * * [simplify]: iters left: 3 (54 enodes) 48.519 * * [simplify]: Extracting #0: cost 1 inf + 0 48.519 * * [simplify]: Extracting #1: cost 8 inf + 0 48.520 * * [simplify]: Extracting #2: cost 17 inf + 0 48.520 * * [simplify]: Extracting #3: cost 20 inf + 1 48.520 * * [simplify]: Extracting #4: cost 18 inf + 206 48.520 * * [simplify]: Extracting #5: cost 21 inf + 327 48.520 * * [simplify]: Extracting #6: cost 15 inf + 935 48.521 * * [simplify]: Extracting #7: cost 11 inf + 1180 48.521 * * [simplify]: Extracting #8: cost 3 inf + 3160 48.523 * * [simplify]: Extracting #9: cost 0 inf + 4290 48.524 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 48.524 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))) (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.524 * * * * [progress]: [ 77 / 2703 ] simplifiying candidate # 48.525 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) 1)) 48.525 * * [simplify]: iters left: 6 (6 enodes) 48.529 * * [simplify]: iters left: 5 (20 enodes) 48.536 * * [simplify]: iters left: 4 (24 enodes) 48.543 * * [simplify]: iters left: 3 (25 enodes) 48.549 * * [simplify]: Extracting #0: cost 1 inf + 0 48.549 * * [simplify]: Extracting #1: cost 4 inf + 0 48.549 * * [simplify]: Extracting #2: cost 5 inf + 1 48.549 * * [simplify]: Extracting #3: cost 7 inf + 1 48.549 * * [simplify]: Extracting #4: cost 6 inf + 2 48.549 * * [simplify]: Extracting #5: cost 0 inf + 650 48.549 * [simplify]: Simplified to (/ 1 (cbrt (sqrt 2))) 48.549 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ 1 (cbrt (sqrt 2))) (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.549 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 48.549 * * [simplify]: iters left: 6 (13 enodes) 48.553 * * [simplify]: iters left: 5 (42 enodes) 48.559 * * [simplify]: iters left: 4 (47 enodes) 48.567 * * [simplify]: iters left: 3 (51 enodes) 48.576 * * [simplify]: Extracting #0: cost 1 inf + 0 48.576 * * [simplify]: Extracting #1: cost 8 inf + 0 48.576 * * [simplify]: Extracting #2: cost 17 inf + 0 48.576 * * [simplify]: Extracting #3: cost 21 inf + 1 48.576 * * [simplify]: Extracting #4: cost 22 inf + 104 48.576 * * [simplify]: Extracting #5: cost 15 inf + 592 48.577 * * [simplify]: Extracting #6: cost 10 inf + 1139 48.577 * * [simplify]: Extracting #7: cost 4 inf + 2474 48.578 * * [simplify]: Extracting #8: cost 0 inf + 3646 48.578 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (cbrt (sqrt 2)))) 48.578 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ 1 (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.578 * * * * [progress]: [ 78 / 2703 ] simplifiying candidate # 48.579 * [simplify]: Simplifying (/ 1 1) 48.579 * * [simplify]: iters left: 2 (2 enodes) 48.580 * * [simplify]: iters left: 1 (6 enodes) 48.581 * * [simplify]: Extracting #0: cost 1 inf + 0 48.581 * * [simplify]: Extracting #1: cost 0 inf + 1 48.581 * [simplify]: Simplified to 1 48.581 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* 1 (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.581 * [simplify]: Simplifying (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 48.581 * * [simplify]: iters left: 6 (14 enodes) 48.585 * * [simplify]: iters left: 5 (47 enodes) 48.592 * * [simplify]: iters left: 4 (59 enodes) 48.605 * * [simplify]: iters left: 3 (78 enodes) 48.628 * * [simplify]: iters left: 2 (84 enodes) 48.650 * * [simplify]: iters left: 1 (92 enodes) 48.674 * * [simplify]: Extracting #0: cost 1 inf + 0 48.674 * * [simplify]: Extracting #1: cost 16 inf + 0 48.675 * * [simplify]: Extracting #2: cost 32 inf + 0 48.675 * * [simplify]: Extracting #3: cost 35 inf + 62 48.675 * * [simplify]: Extracting #4: cost 31 inf + 871 48.676 * * [simplify]: Extracting #5: cost 21 inf + 2527 48.677 * * [simplify]: Extracting #6: cost 16 inf + 3134 48.678 * * [simplify]: Extracting #7: cost 9 inf + 5014 48.679 * * [simplify]: Extracting #8: cost 0 inf + 8022 48.681 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th)))) 48.681 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* 1 (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.681 * * * * [progress]: [ 79 / 2703 ] simplifiying candidate # 48.681 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 48.681 * * [simplify]: iters left: 6 (6 enodes) 48.684 * * [simplify]: iters left: 5 (22 enodes) 48.688 * * [simplify]: iters left: 4 (26 enodes) 48.694 * * [simplify]: Extracting #0: cost 1 inf + 0 48.694 * * [simplify]: Extracting #1: cost 6 inf + 0 48.694 * * [simplify]: Extracting #2: cost 9 inf + 1 48.694 * * [simplify]: Extracting #3: cost 11 inf + 1 48.694 * * [simplify]: Extracting #4: cost 8 inf + 84 48.694 * * [simplify]: Extracting #5: cost 2 inf + 1013 48.694 * * [simplify]: Extracting #6: cost 0 inf + 1376 48.695 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 48.695 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.695 * [simplify]: Simplifying (/ (cos th) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 48.695 * * [simplify]: iters left: 6 (11 enodes) 48.698 * * [simplify]: iters left: 5 (38 enodes) 48.704 * * [simplify]: iters left: 4 (41 enodes) 48.710 * * [simplify]: iters left: 3 (49 enodes) 48.718 * * [simplify]: iters left: 2 (51 enodes) 48.725 * * [simplify]: iters left: 1 (56 enodes) 48.732 * * [simplify]: Extracting #0: cost 1 inf + 0 48.733 * * [simplify]: Extracting #1: cost 8 inf + 0 48.733 * * [simplify]: Extracting #2: cost 13 inf + 1 48.733 * * [simplify]: Extracting #3: cost 15 inf + 2 48.733 * * [simplify]: Extracting #4: cost 17 inf + 124 48.733 * * [simplify]: Extracting #5: cost 13 inf + 330 48.733 * * [simplify]: Extracting #6: cost 8 inf + 616 48.733 * * [simplify]: Extracting #7: cost 1 inf + 1994 48.734 * * [simplify]: Extracting #8: cost 0 inf + 2197 48.734 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)) 48.734 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 48.735 * * * * [progress]: [ 80 / 2703 ] simplifiying candidate # 48.735 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 48.735 * * [simplify]: iters left: 6 (16 enodes) 48.745 * * [simplify]: iters left: 5 (71 enodes) 48.770 * * [simplify]: iters left: 4 (138 enodes) 48.802 * * [simplify]: iters left: 3 (248 enodes) 48.869 * * [simplify]: iters left: 2 (479 enodes) 49.049 * * [simplify]: Extracting #0: cost 1 inf + 0 49.049 * * [simplify]: Extracting #1: cost 12 inf + 0 49.049 * * [simplify]: Extracting #2: cost 21 inf + 1 49.049 * * [simplify]: Extracting #3: cost 26 inf + 1 49.050 * * [simplify]: Extracting #4: cost 90 inf + 2 49.051 * * [simplify]: Extracting #5: cost 179 inf + 1390 49.054 * * [simplify]: Extracting #6: cost 152 inf + 9940 49.064 * * [simplify]: Extracting #7: cost 50 inf + 47861 49.077 * * [simplify]: Extracting #8: cost 2 inf + 69877 49.095 * * [simplify]: Extracting #9: cost 0 inf + 70261 49.108 * [simplify]: Simplified to (/ (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 49.109 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 49.109 * [simplify]: Simplifying (/ (cos th) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 49.109 * * [simplify]: iters left: 6 (13 enodes) 49.116 * * [simplify]: iters left: 5 (61 enodes) 49.139 * * [simplify]: iters left: 4 (128 enodes) 49.191 * * [simplify]: iters left: 3 (244 enodes) 49.263 * * [simplify]: iters left: 2 (376 enodes) 49.413 * * [simplify]: Extracting #0: cost 1 inf + 0 49.413 * * [simplify]: Extracting #1: cost 4 inf + 0 49.413 * * [simplify]: Extracting #2: cost 8 inf + 0 49.413 * * [simplify]: Extracting #3: cost 26 inf + 1 49.413 * * [simplify]: Extracting #4: cost 151 inf + 62 49.414 * * [simplify]: Extracting #5: cost 209 inf + 1224 49.418 * * [simplify]: Extracting #6: cost 80 inf + 20498 49.425 * * [simplify]: Extracting #7: cost 3 inf + 34962 49.433 * * [simplify]: Extracting #8: cost 0 inf + 35689 49.443 * [simplify]: Simplified to (/ (cos th) (sqrt (+ (* (* a1 a1) (* a1 a1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2))))) 49.444 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (sqrt (+ (* (* a1 a1) (* a1 a1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 49.444 * * * * [progress]: [ 81 / 2703 ] simplifiying candidate # 49.444 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 49.445 * * [simplify]: iters left: 6 (15 enodes) 49.453 * * [simplify]: iters left: 5 (64 enodes) 49.465 * * [simplify]: iters left: 4 (108 enodes) 49.487 * * [simplify]: iters left: 3 (177 enodes) 49.542 * * [simplify]: iters left: 2 (353 enodes) 49.701 * * [simplify]: Extracting #0: cost 1 inf + 0 49.701 * * [simplify]: Extracting #1: cost 12 inf + 0 49.701 * * [simplify]: Extracting #2: cost 21 inf + 1 49.701 * * [simplify]: Extracting #3: cost 70 inf + 1 49.702 * * [simplify]: Extracting #4: cost 169 inf + 2 49.703 * * [simplify]: Extracting #5: cost 213 inf + 1178 49.706 * * [simplify]: Extracting #6: cost 133 inf + 14153 49.713 * * [simplify]: Extracting #7: cost 19 inf + 37223 49.723 * * [simplify]: Extracting #8: cost 0 inf + 41982 49.734 * [simplify]: Simplified to (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 49.734 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (sqrt (- (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 49.735 * [simplify]: Simplifying (/ (cos th) (sqrt (- (* a1 a1) (* a2 a2)))) 49.735 * * [simplify]: iters left: 6 (9 enodes) 49.739 * * [simplify]: iters left: 5 (32 enodes) 49.749 * * [simplify]: iters left: 4 (45 enodes) 49.762 * * [simplify]: iters left: 3 (62 enodes) 49.782 * * [simplify]: iters left: 2 (103 enodes) 49.814 * * [simplify]: iters left: 1 (186 enodes) 49.853 * * [simplify]: Extracting #0: cost 1 inf + 0 49.853 * * [simplify]: Extracting #1: cost 4 inf + 0 49.853 * * [simplify]: Extracting #2: cost 8 inf + 0 49.853 * * [simplify]: Extracting #3: cost 27 inf + 1 49.853 * * [simplify]: Extracting #4: cost 59 inf + 62 49.854 * * [simplify]: Extracting #5: cost 48 inf + 1042 49.855 * * [simplify]: Extracting #6: cost 8 inf + 5499 49.856 * * [simplify]: Extracting #7: cost 0 inf + 6394 49.858 * [simplify]: Simplified to (/ (cos th) (sqrt (- (* a1 a1) (* a2 a2)))) 49.859 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (sqrt (- (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 49.859 * * * * [progress]: [ 82 / 2703 ] simplifiying candidate # 49.859 * * * * [progress]: [ 83 / 2703 ] simplifiying candidate # 49.859 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 49.859 * * [simplify]: iters left: 6 (13 enodes) 49.863 * * [simplify]: iters left: 5 (46 enodes) 49.871 * * [simplify]: iters left: 4 (60 enodes) 49.882 * * [simplify]: iters left: 3 (75 enodes) 49.903 * * [simplify]: iters left: 2 (101 enodes) 49.920 * * [simplify]: iters left: 1 (105 enodes) 49.949 * * [simplify]: Extracting #0: cost 1 inf + 0 49.949 * * [simplify]: Extracting #1: cost 12 inf + 0 49.950 * * [simplify]: Extracting #2: cost 21 inf + 1 49.950 * * [simplify]: Extracting #3: cost 26 inf + 1 49.950 * * [simplify]: Extracting #4: cost 29 inf + 2 49.950 * * [simplify]: Extracting #5: cost 20 inf + 611 49.950 * * [simplify]: Extracting #6: cost 13 inf + 1502 49.951 * * [simplify]: Extracting #7: cost 3 inf + 4249 49.952 * * [simplify]: Extracting #8: cost 0 inf + 5258 49.953 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 49.953 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 49.953 * * * * [progress]: [ 84 / 2703 ] simplifiying candidate # 49.953 * [simplify]: Simplifying (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th)) 49.954 * * [simplify]: iters left: 6 (14 enodes) 49.957 * * [simplify]: iters left: 5 (47 enodes) 49.965 * * [simplify]: iters left: 4 (62 enodes) 49.974 * * [simplify]: iters left: 3 (84 enodes) 49.999 * * [simplify]: iters left: 2 (95 enodes) 50.013 * * [simplify]: iters left: 1 (96 enodes) 50.025 * * [simplify]: Extracting #0: cost 1 inf + 0 50.025 * * [simplify]: Extracting #1: cost 15 inf + 0 50.025 * * [simplify]: Extracting #2: cost 31 inf + 0 50.026 * * [simplify]: Extracting #3: cost 33 inf + 123 50.026 * * [simplify]: Extracting #4: cost 35 inf + 165 50.026 * * [simplify]: Extracting #5: cost 22 inf + 1782 50.027 * * [simplify]: Extracting #6: cost 17 inf + 2470 50.029 * * [simplify]: Extracting #7: cost 7 inf + 5460 50.032 * * [simplify]: Extracting #8: cost 0 inf + 8084 50.035 * [simplify]: Simplified to (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cos th))) 50.035 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (/ 1 (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.035 * * * * [progress]: [ 85 / 2703 ] simplifiying candidate # 50.035 * [simplify]: Simplifying (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 50.036 * * [simplify]: iters left: 6 (16 enodes) 50.043 * * [simplify]: iters left: 5 (53 enodes) 50.059 * * [simplify]: iters left: 4 (59 enodes) 50.069 * * [simplify]: iters left: 3 (62 enodes) 50.078 * * [simplify]: Extracting #0: cost 1 inf + 0 50.078 * * [simplify]: Extracting #1: cost 6 inf + 0 50.079 * * [simplify]: Extracting #2: cost 12 inf + 0 50.079 * * [simplify]: Extracting #3: cost 17 inf + 1 50.079 * * [simplify]: Extracting #4: cost 23 inf + 62 50.079 * * [simplify]: Extracting #5: cost 27 inf + 123 50.079 * * [simplify]: Extracting #6: cost 27 inf + 447 50.079 * * [simplify]: Extracting #7: cost 20 inf + 854 50.079 * * [simplify]: Extracting #8: cost 13 inf + 2148 50.080 * * [simplify]: Extracting #9: cost 2 inf + 6502 50.081 * * [simplify]: Extracting #10: cost 0 inf + 7630 50.084 * [simplify]: Simplified to (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 50.084 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.084 * * * * [progress]: [ 86 / 2703 ] simplifiying candidate # 50.084 * [simplify]: Simplifying (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.084 * * [simplify]: iters left: 6 (15 enodes) 50.088 * * [simplify]: iters left: 5 (48 enodes) 50.100 * * [simplify]: iters left: 4 (52 enodes) 50.115 * * [simplify]: iters left: 3 (55 enodes) 50.131 * * [simplify]: Extracting #0: cost 1 inf + 0 50.131 * * [simplify]: Extracting #1: cost 4 inf + 0 50.131 * * [simplify]: Extracting #2: cost 8 inf + 0 50.131 * * [simplify]: Extracting #3: cost 13 inf + 1 50.131 * * [simplify]: Extracting #4: cost 19 inf + 62 50.131 * * [simplify]: Extracting #5: cost 23 inf + 123 50.131 * * [simplify]: Extracting #6: cost 23 inf + 447 50.132 * * [simplify]: Extracting #7: cost 16 inf + 854 50.132 * * [simplify]: Extracting #8: cost 7 inf + 2754 50.134 * * [simplify]: Extracting #9: cost 0 inf + 5336 50.135 * [simplify]: Simplified to (/ (cos th) (sqrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 50.135 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (/ (cos th) (sqrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.135 * * * * [progress]: [ 87 / 2703 ] simplifiying candidate # 50.136 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 50.136 * * [simplify]: iters left: 6 (15 enodes) 50.143 * * [simplify]: iters left: 5 (50 enodes) 50.158 * * [simplify]: iters left: 4 (61 enodes) 50.176 * * [simplify]: iters left: 3 (73 enodes) 50.197 * * [simplify]: iters left: 2 (81 enodes) 50.218 * * [simplify]: iters left: 1 (87 enodes) 50.244 * * [simplify]: Extracting #0: cost 1 inf + 0 50.244 * * [simplify]: Extracting #1: cost 14 inf + 0 50.244 * * [simplify]: Extracting #2: cost 29 inf + 0 50.244 * * [simplify]: Extracting #3: cost 31 inf + 62 50.244 * * [simplify]: Extracting #4: cost 28 inf + 448 50.245 * * [simplify]: Extracting #5: cost 28 inf + 1336 50.245 * * [simplify]: Extracting #6: cost 24 inf + 1420 50.246 * * [simplify]: Extracting #7: cost 20 inf + 1746 50.247 * * [simplify]: Extracting #8: cost 10 inf + 4972 50.250 * * [simplify]: Extracting #9: cost 0 inf + 9366 50.253 * [simplify]: Simplified to (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) 50.253 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.254 * * * * [progress]: [ 88 / 2703 ] simplifiying candidate # 50.254 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 50.254 * * [simplify]: iters left: 6 (15 enodes) 50.262 * * [simplify]: iters left: 5 (49 enodes) 50.276 * * [simplify]: iters left: 4 (54 enodes) 50.292 * * [simplify]: iters left: 3 (58 enodes) 50.308 * * [simplify]: Extracting #0: cost 1 inf + 0 50.308 * * [simplify]: Extracting #1: cost 8 inf + 0 50.308 * * [simplify]: Extracting #2: cost 18 inf + 0 50.308 * * [simplify]: Extracting #3: cost 22 inf + 1 50.308 * * [simplify]: Extracting #4: cost 22 inf + 104 50.308 * * [simplify]: Extracting #5: cost 21 inf + 670 50.309 * * [simplify]: Extracting #6: cost 16 inf + 976 50.309 * * [simplify]: Extracting #7: cost 13 inf + 1180 50.310 * * [simplify]: Extracting #8: cost 5 inf + 3077 50.311 * * [simplify]: Extracting #9: cost 0 inf + 5174 50.313 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cos th) (cbrt (sqrt 2)))) 50.313 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.313 * * * * [progress]: [ 89 / 2703 ] simplifiying candidate # 50.313 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.314 * * [simplify]: iters left: 6 (14 enodes) 50.320 * * [simplify]: iters left: 5 (45 enodes) 50.334 * * [simplify]: iters left: 4 (50 enodes) 50.349 * * [simplify]: iters left: 3 (54 enodes) 50.363 * * [simplify]: Extracting #0: cost 1 inf + 0 50.364 * * [simplify]: Extracting #1: cost 8 inf + 0 50.364 * * [simplify]: Extracting #2: cost 17 inf + 0 50.364 * * [simplify]: Extracting #3: cost 20 inf + 1 50.364 * * [simplify]: Extracting #4: cost 18 inf + 206 50.364 * * [simplify]: Extracting #5: cost 21 inf + 327 50.364 * * [simplify]: Extracting #6: cost 15 inf + 935 50.365 * * [simplify]: Extracting #7: cost 11 inf + 1180 50.366 * * [simplify]: Extracting #8: cost 3 inf + 3160 50.367 * * [simplify]: Extracting #9: cost 0 inf + 4290 50.368 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 50.368 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.368 * * * * [progress]: [ 90 / 2703 ] simplifiying candidate # 50.369 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) 50.369 * * [simplify]: iters left: 6 (9 enodes) 50.376 * * [simplify]: iters left: 5 (31 enodes) 50.385 * * [simplify]: iters left: 4 (33 enodes) 50.390 * * [simplify]: iters left: 3 (39 enodes) 50.396 * * [simplify]: iters left: 2 (41 enodes) 50.401 * * [simplify]: Extracting #0: cost 1 inf + 0 50.401 * * [simplify]: Extracting #1: cost 5 inf + 0 50.401 * * [simplify]: Extracting #2: cost 8 inf + 1 50.401 * * [simplify]: Extracting #3: cost 9 inf + 2 50.401 * * [simplify]: Extracting #4: cost 6 inf + 125 50.401 * * [simplify]: Extracting #5: cost 1 inf + 852 50.401 * * [simplify]: Extracting #6: cost 0 inf + 893 50.401 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 50.402 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.402 * * * * [progress]: [ 91 / 2703 ] simplifiying candidate # 50.402 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.402 * * [simplify]: iters left: 6 (14 enodes) 50.405 * * [simplify]: iters left: 5 (45 enodes) 50.412 * * [simplify]: iters left: 4 (50 enodes) 50.421 * * [simplify]: iters left: 3 (54 enodes) 50.435 * * [simplify]: Extracting #0: cost 1 inf + 0 50.435 * * [simplify]: Extracting #1: cost 8 inf + 0 50.436 * * [simplify]: Extracting #2: cost 17 inf + 0 50.436 * * [simplify]: Extracting #3: cost 20 inf + 1 50.436 * * [simplify]: Extracting #4: cost 18 inf + 206 50.436 * * [simplify]: Extracting #5: cost 21 inf + 327 50.436 * * [simplify]: Extracting #6: cost 15 inf + 935 50.437 * * [simplify]: Extracting #7: cost 11 inf + 1180 50.437 * * [simplify]: Extracting #8: cost 3 inf + 3160 50.439 * * [simplify]: Extracting #9: cost 0 inf + 4290 50.440 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 50.440 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.440 * * * * [progress]: [ 92 / 2703 ] simplifiying candidate # 50.441 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) 1)) 50.441 * * [simplify]: iters left: 6 (8 enodes) 50.445 * * [simplify]: iters left: 5 (26 enodes) 50.453 * * [simplify]: iters left: 4 (30 enodes) 50.463 * * [simplify]: iters left: 3 (35 enodes) 50.473 * * [simplify]: iters left: 2 (37 enodes) 50.483 * * [simplify]: iters left: 1 (40 enodes) 50.493 * * [simplify]: Extracting #0: cost 1 inf + 0 50.493 * * [simplify]: Extracting #1: cost 6 inf + 0 50.494 * * [simplify]: Extracting #2: cost 10 inf + 1 50.494 * * [simplify]: Extracting #3: cost 11 inf + 2 50.494 * * [simplify]: Extracting #4: cost 8 inf + 105 50.494 * * [simplify]: Extracting #5: cost 2 inf + 893 50.494 * * [simplify]: Extracting #6: cost 0 inf + 1337 50.495 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 50.495 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.495 * * * * [progress]: [ 93 / 2703 ] simplifiying candidate # 50.495 * [simplify]: Simplifying (/ (cos th) 1) 50.495 * * [simplify]: iters left: 3 (4 enodes) 50.498 * * [simplify]: iters left: 2 (12 enodes) 50.501 * * [simplify]: iters left: 1 (14 enodes) 50.505 * * [simplify]: Extracting #0: cost 1 inf + 0 50.506 * * [simplify]: Extracting #1: cost 4 inf + 0 50.506 * * [simplify]: Extracting #2: cost 2 inf + 2 50.506 * * [simplify]: Extracting #3: cost 1 inf + 63 50.506 * * [simplify]: Extracting #4: cost 0 inf + 124 50.506 * [simplify]: Simplified to (cos th) 50.506 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.506 * * * * [progress]: [ 94 / 2703 ] simplifiying candidate # 50.506 * [simplify]: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 50.507 * * [simplify]: iters left: 6 (7 enodes) 50.512 * * [simplify]: iters left: 5 (23 enodes) 50.519 * * [simplify]: iters left: 4 (25 enodes) 50.527 * * [simplify]: Extracting #0: cost 1 inf + 0 50.527 * * [simplify]: Extracting #1: cost 6 inf + 0 50.527 * * [simplify]: Extracting #2: cost 12 inf + 0 50.528 * * [simplify]: Extracting #3: cost 13 inf + 1 50.528 * * [simplify]: Extracting #4: cost 8 inf + 206 50.528 * * [simplify]: Extracting #5: cost 4 inf + 831 50.528 * * [simplify]: Extracting #6: cost 1 inf + 1476 50.529 * * [simplify]: Extracting #7: cost 0 inf + 1738 50.529 * [simplify]: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 50.529 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.529 * * * * [progress]: [ 95 / 2703 ] simplifiying candidate # 50.530 * [simplify]: Simplifying (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 50.530 * * [simplify]: iters left: 6 (17 enodes) 50.539 * * [simplify]: iters left: 5 (72 enodes) 50.553 * * [simplify]: iters left: 4 (137 enodes) 50.591 * * [simplify]: iters left: 3 (255 enodes) 50.666 * * [simplify]: iters left: 2 (471 enodes) 50.831 * * [simplify]: Extracting #0: cost 1 inf + 0 50.831 * * [simplify]: Extracting #1: cost 16 inf + 0 50.831 * * [simplify]: Extracting #2: cost 31 inf + 0 50.831 * * [simplify]: Extracting #3: cost 34 inf + 62 50.831 * * [simplify]: Extracting #4: cost 92 inf + 1315 50.832 * * [simplify]: Extracting #5: cost 185 inf + 3166 50.834 * * [simplify]: Extracting #6: cost 165 inf + 10966 50.839 * * [simplify]: Extracting #7: cost 68 inf + 48124 50.846 * * [simplify]: Extracting #8: cost 9 inf + 74174 50.854 * * [simplify]: Extracting #9: cost 0 inf + 78170 50.869 * [simplify]: Simplified to (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (+ (* (* a2 a2) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))))) 50.869 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (+ (* (* a2 a2) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 50.869 * * * * [progress]: [ 96 / 2703 ] simplifiying candidate # 50.870 * [simplify]: Simplifying (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 50.870 * * [simplify]: iters left: 6 (16 enodes) 50.878 * * [simplify]: iters left: 5 (65 enodes) 50.892 * * [simplify]: iters left: 4 (107 enodes) 50.913 * * [simplify]: iters left: 3 (181 enodes) 50.967 * * [simplify]: iters left: 2 (341 enodes) 51.100 * * [simplify]: Extracting #0: cost 1 inf + 0 51.100 * * [simplify]: Extracting #1: cost 16 inf + 0 51.100 * * [simplify]: Extracting #2: cost 31 inf + 0 51.100 * * [simplify]: Extracting #3: cost 77 inf + 123 51.102 * * [simplify]: Extracting #4: cost 166 inf + 1879 51.104 * * [simplify]: Extracting #5: cost 214 inf + 2831 51.109 * * [simplify]: Extracting #6: cost 153 inf + 12273 51.122 * * [simplify]: Extracting #7: cost 32 inf + 36410 51.140 * * [simplify]: Extracting #8: cost 0 inf + 44326 51.154 * [simplify]: Simplified to (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th))) 51.154 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 51.155 * * * * [progress]: [ 97 / 2703 ] simplifiying candidate # 51.155 * [simplify]: Simplifying (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) 51.155 * * [simplify]: iters left: 6 (15 enodes) 51.159 * * [simplify]: iters left: 5 (50 enodes) 51.167 * * [simplify]: iters left: 4 (65 enodes) 51.178 * * [simplify]: iters left: 3 (87 enodes) 51.206 * * [simplify]: iters left: 2 (98 enodes) 51.233 * * [simplify]: iters left: 1 (99 enodes) 51.249 * * [simplify]: Extracting #0: cost 1 inf + 0 51.249 * * [simplify]: Extracting #1: cost 15 inf + 0 51.249 * * [simplify]: Extracting #2: cost 31 inf + 0 51.249 * * [simplify]: Extracting #3: cost 38 inf + 0 51.249 * * [simplify]: Extracting #4: cost 37 inf + 245 51.249 * * [simplify]: Extracting #5: cost 24 inf + 1740 51.250 * * [simplify]: Extracting #6: cost 14 inf + 4020 51.251 * * [simplify]: Extracting #7: cost 2 inf + 8659 51.252 * * [simplify]: Extracting #8: cost 0 inf + 9486 51.254 * [simplify]: Simplified to (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) 51.254 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 51.254 * * * * [progress]: [ 98 / 2703 ] simplifiying candidate # 51.254 * [simplify]: Simplifying (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))) 51.254 * * [simplify]: iters left: 6 (15 enodes) 51.258 * * [simplify]: iters left: 5 (50 enodes) 51.267 * * [simplify]: iters left: 4 (65 enodes) 51.287 * * [simplify]: iters left: 3 (87 enodes) 51.307 * * [simplify]: iters left: 2 (98 enodes) 51.321 * * [simplify]: iters left: 1 (99 enodes) 51.334 * * [simplify]: Extracting #0: cost 1 inf + 0 51.334 * * [simplify]: Extracting #1: cost 15 inf + 0 51.334 * * [simplify]: Extracting #2: cost 31 inf + 0 51.335 * * [simplify]: Extracting #3: cost 38 inf + 0 51.335 * * [simplify]: Extracting #4: cost 37 inf + 205 51.335 * * [simplify]: Extracting #5: cost 24 inf + 1580 51.336 * * [simplify]: Extracting #6: cost 14 inf + 3660 51.339 * * [simplify]: Extracting #7: cost 2 inf + 8059 51.342 * * [simplify]: Extracting #8: cost 0 inf + 8846 51.345 * [simplify]: Simplified to (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))) 51.345 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (/ (sqrt (cos th)) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 51.345 * * * * [progress]: [ 99 / 2703 ] simplifiying candidate # 51.345 * [simplify]: Simplifying (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th)) 51.346 * * [simplify]: iters left: 6 (14 enodes) 51.353 * * [simplify]: iters left: 5 (47 enodes) 51.368 * * [simplify]: iters left: 4 (62 enodes) 51.388 * * [simplify]: iters left: 3 (84 enodes) 51.412 * * [simplify]: iters left: 2 (95 enodes) 51.441 * * [simplify]: iters left: 1 (96 enodes) 51.466 * * [simplify]: Extracting #0: cost 1 inf + 0 51.466 * * [simplify]: Extracting #1: cost 15 inf + 0 51.466 * * [simplify]: Extracting #2: cost 31 inf + 0 51.466 * * [simplify]: Extracting #3: cost 33 inf + 123 51.467 * * [simplify]: Extracting #4: cost 35 inf + 165 51.467 * * [simplify]: Extracting #5: cost 22 inf + 1782 51.468 * * [simplify]: Extracting #6: cost 17 inf + 2470 51.470 * * [simplify]: Extracting #7: cost 7 inf + 5460 51.473 * * [simplify]: Extracting #8: cost 0 inf + 8084 51.476 * [simplify]: Simplified to (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cos th))) 51.476 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (/ (/ 1 (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 51.476 * * * * [progress]: [ 100 / 2703 ] simplifiying candidate # 51.477 * [simplify]: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 51.477 * * [simplify]: iters left: 6 (7 enodes) 51.481 * * [simplify]: iters left: 5 (23 enodes) 51.488 * * [simplify]: iters left: 4 (25 enodes) 51.495 * * [simplify]: Extracting #0: cost 1 inf + 0 51.495 * * [simplify]: Extracting #1: cost 6 inf + 0 51.495 * * [simplify]: Extracting #2: cost 12 inf + 0 51.495 * * [simplify]: Extracting #3: cost 13 inf + 1 51.496 * * [simplify]: Extracting #4: cost 8 inf + 206 51.496 * * [simplify]: Extracting #5: cost 4 inf + 831 51.496 * * [simplify]: Extracting #6: cost 1 inf + 1476 51.496 * * [simplify]: Extracting #7: cost 0 inf + 1738 51.496 * [simplify]: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 51.496 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 51.496 * * * * [progress]: [ 101 / 2703 ] simplifiying candidate #real (real->posit16 (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))> 51.497 * [simplify]: Simplifying (real->posit16 (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 51.497 * * [simplify]: iters left: 6 (15 enodes) 51.500 * * [simplify]: iters left: 5 (47 enodes) 51.508 * * [simplify]: iters left: 4 (59 enodes) 51.517 * * [simplify]: iters left: 3 (78 enodes) 51.535 * * [simplify]: iters left: 2 (84 enodes) 51.560 * * [simplify]: iters left: 1 (92 enodes) 51.584 * * [simplify]: Extracting #0: cost 1 inf + 0 51.584 * * [simplify]: Extracting #1: cost 2 inf + 0 51.584 * * [simplify]: Extracting #2: cost 16 inf + 0 51.585 * * [simplify]: Extracting #3: cost 32 inf + 0 51.585 * * [simplify]: Extracting #4: cost 35 inf + 62 51.585 * * [simplify]: Extracting #5: cost 31 inf + 871 51.586 * * [simplify]: Extracting #6: cost 22 inf + 2265 51.588 * * [simplify]: Extracting #7: cost 5 inf + 6386 51.590 * * [simplify]: Extracting #8: cost 0 inf + 8022 51.593 * [simplify]: Simplified to (real->posit16 (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) 51.593 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (/ (posit16->real (real->posit16 (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 51.593 * * * * [progress]: [ 102 / 2703 ] simplifiying candidate # 51.593 * * * * [progress]: [ 103 / 2703 ] simplifiying candidate # 51.594 * [simplify]: Simplifying (- (- (log (cos th)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))) (- (log (cbrt (sqrt 2))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))) 51.594 * * [simplify]: iters left: 6 (19 enodes) 51.603 * * [simplify]: iters left: 5 (72 enodes) 51.627 * * [simplify]: iters left: 4 (130 enodes) 51.683 * * [simplify]: iters left: 3 (290 enodes) 51.837 * * [simplify]: Extracting #0: cost 1 inf + 0 51.837 * * [simplify]: Extracting #1: cost 49 inf + 0 51.838 * * [simplify]: Extracting #2: cost 96 inf + 0 51.839 * * [simplify]: Extracting #3: cost 103 inf + 0 51.840 * * [simplify]: Extracting #4: cost 104 inf + 254 51.841 * * [simplify]: Extracting #5: cost 100 inf + 1242 51.843 * * [simplify]: Extracting #6: cost 77 inf + 7202 51.850 * * [simplify]: Extracting #7: cost 41 inf + 23897 51.873 * * [simplify]: Extracting #8: cost 3 inf + 44679 51.896 * * [simplify]: Extracting #9: cost 0 inf + 46068 51.919 * [simplify]: Simplified to (+ (- (log (sqrt (+ (* a2 a2) (* a1 a1)))) (log (cbrt (sqrt 2)))) (- (log (cos th)) (- (log (cbrt (sqrt 2))) (- (log (sqrt (+ (* a2 a2) (* a1 a1)))) (log (cbrt (sqrt 2))))))) 51.919 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (+ (- (log (sqrt (+ (* a2 a2) (* a1 a1)))) (log (cbrt (sqrt 2)))) (- (log (cos th)) (- (log (cbrt (sqrt 2))) (- (log (sqrt (+ (* a2 a2) (* a1 a1)))) (log (cbrt (sqrt 2))))))))) 51.920 * * * * [progress]: [ 104 / 2703 ] simplifiying candidate # 51.920 * [simplify]: Simplifying (- (- (log (cos th)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 51.920 * * [simplify]: iters left: 6 (20 enodes) 51.931 * * [simplify]: iters left: 5 (73 enodes) 51.953 * * [simplify]: iters left: 4 (122 enodes) 52.001 * * [simplify]: iters left: 3 (258 enodes) 52.146 * * [simplify]: Extracting #0: cost 1 inf + 0 52.146 * * [simplify]: Extracting #1: cost 50 inf + 0 52.147 * * [simplify]: Extracting #2: cost 97 inf + 0 52.147 * * [simplify]: Extracting #3: cost 105 inf + 0 52.148 * * [simplify]: Extracting #4: cost 106 inf + 254 52.148 * * [simplify]: Extracting #5: cost 101 inf + 1534 52.149 * * [simplify]: Extracting #6: cost 81 inf + 6259 52.153 * * [simplify]: Extracting #7: cost 46 inf + 20047 52.162 * * [simplify]: Extracting #8: cost 4 inf + 44936 52.179 * * [simplify]: Extracting #9: cost 0 inf + 47160 52.192 * [simplify]: Simplified to (- (- (log (cos th)) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (+ (log (cbrt (sqrt 2))) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 52.193 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (log (cos th)) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (+ (log (cbrt (sqrt 2))) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 52.193 * * * * [progress]: [ 105 / 2703 ] simplifiying candidate # 52.193 * [simplify]: Simplifying (- (- (log (cos th)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))) (- (log (cbrt (sqrt 2))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))) 52.193 * * [simplify]: iters left: 6 (20 enodes) 52.198 * * [simplify]: iters left: 5 (75 enodes) 52.211 * * [simplify]: iters left: 4 (129 enodes) 52.254 * * [simplify]: iters left: 3 (273 enodes) 52.371 * * [simplify]: Extracting #0: cost 1 inf + 0 52.371 * * [simplify]: Extracting #1: cost 51 inf + 0 52.371 * * [simplify]: Extracting #2: cost 102 inf + 0 52.372 * * [simplify]: Extracting #3: cost 110 inf + 0 52.372 * * [simplify]: Extracting #4: cost 110 inf + 385 52.373 * * [simplify]: Extracting #5: cost 108 inf + 1101 52.374 * * [simplify]: Extracting #6: cost 92 inf + 4371 52.378 * * [simplify]: Extracting #7: cost 43 inf + 25975 52.389 * * [simplify]: Extracting #8: cost 3 inf + 48424 52.405 * * [simplify]: Extracting #9: cost 0 inf + 50015 52.429 * [simplify]: Simplified to (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (- (log (cbrt (sqrt 2))) (log (sqrt (+ (* a2 a2) (* a1 a1))))) (- (log (cbrt (sqrt 2))) (log (sqrt (+ (* a2 a2) (* a1 a1))))))) 52.429 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (- (log (cbrt (sqrt 2))) (log (sqrt (+ (* a2 a2) (* a1 a1))))) (- (log (cbrt (sqrt 2))) (log (sqrt (+ (* a2 a2) (* a1 a1))))))))) 52.429 * * * * [progress]: [ 106 / 2703 ] simplifiying candidate # 52.430 * [simplify]: Simplifying (- (- (log (cos th)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 52.430 * * [simplify]: iters left: 6 (20 enodes) 52.440 * * [simplify]: iters left: 5 (74 enodes) 52.467 * * [simplify]: iters left: 4 (120 enodes) 52.507 * * [simplify]: iters left: 3 (239 enodes) 52.599 * * [simplify]: Extracting #0: cost 1 inf + 0 52.599 * * [simplify]: Extracting #1: cost 46 inf + 0 52.600 * * [simplify]: Extracting #2: cost 99 inf + 0 52.600 * * [simplify]: Extracting #3: cost 108 inf + 0 52.601 * * [simplify]: Extracting #4: cost 109 inf + 254 52.601 * * [simplify]: Extracting #5: cost 104 inf + 1504 52.602 * * [simplify]: Extracting #6: cost 94 inf + 2885 52.605 * * [simplify]: Extracting #7: cost 53 inf + 19755 52.619 * * [simplify]: Extracting #8: cost 5 inf + 45815 52.640 * * [simplify]: Extracting #9: cost 0 inf + 48321 52.662 * [simplify]: Simplified to (- (- (- (log (cos th)) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (log (cbrt (sqrt 2)))) 52.662 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (- (log (cos th)) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (log (cbrt (sqrt 2)))))) 52.662 * * * * [progress]: [ 107 / 2703 ] simplifiying candidate # 52.663 * [simplify]: Simplifying (- (- (log (cos th)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (- (log (cbrt (sqrt 2))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))) 52.663 * * [simplify]: iters left: 6 (20 enodes) 52.676 * * [simplify]: iters left: 5 (75 enodes) 52.700 * * [simplify]: iters left: 4 (123 enodes) 52.732 * * [simplify]: iters left: 3 (233 enodes) 52.791 * * [simplify]: iters left: 2 (479 enodes) 53.426 * * [simplify]: Extracting #0: cost 1 inf + 0 53.426 * * [simplify]: Extracting #1: cost 59 inf + 0 53.427 * * [simplify]: Extracting #2: cost 128 inf + 0 53.428 * * [simplify]: Extracting #3: cost 138 inf + 0 53.430 * * [simplify]: Extracting #4: cost 137 inf + 556 53.431 * * [simplify]: Extracting #5: cost 138 inf + 719 53.433 * * [simplify]: Extracting #6: cost 117 inf + 5297 53.439 * * [simplify]: Extracting #7: cost 71 inf + 22578 53.462 * * [simplify]: Extracting #8: cost 17 inf + 52633 53.496 * * [simplify]: Extracting #9: cost 1 inf + 60979 53.523 * * [simplify]: Extracting #10: cost 0 inf + 61373 53.540 * [simplify]: Simplified to (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (- (log (cbrt (sqrt 2))) (log (sqrt (+ (* a2 a2) (* a1 a1))))) (- (log (cbrt (sqrt 2))) (log (sqrt (+ (* a2 a2) (* a1 a1))))))) 53.540 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (- (log (cbrt (sqrt 2))) (log (sqrt (+ (* a2 a2) (* a1 a1))))) (- (log (cbrt (sqrt 2))) (log (sqrt (+ (* a2 a2) (* a1 a1))))))))) 53.541 * * * * [progress]: [ 108 / 2703 ] simplifiying candidate # 53.541 * [simplify]: Simplifying (- (- (log (cos th)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 53.541 * * [simplify]: iters left: 6 (19 enodes) 53.551 * * [simplify]: iters left: 5 (71 enodes) 53.570 * * [simplify]: iters left: 4 (111 enodes) 53.591 * * [simplify]: iters left: 3 (198 enodes) 53.651 * * [simplify]: iters left: 2 (388 enodes) 53.795 * * [simplify]: Extracting #0: cost 1 inf + 0 53.796 * * [simplify]: Extracting #1: cost 46 inf + 0 53.796 * * [simplify]: Extracting #2: cost 114 inf + 0 53.797 * * [simplify]: Extracting #3: cost 127 inf + 0 53.797 * * [simplify]: Extracting #4: cost 128 inf + 254 53.798 * * [simplify]: Extracting #5: cost 122 inf + 1715 53.799 * * [simplify]: Extracting #6: cost 108 inf + 5522 53.801 * * [simplify]: Extracting #7: cost 91 inf + 11268 53.803 * * [simplify]: Extracting #8: cost 71 inf + 18983 53.819 * * [simplify]: Extracting #9: cost 22 inf + 45424 53.847 * * [simplify]: Extracting #10: cost 1 inf + 56623 53.870 * * [simplify]: Extracting #11: cost 0 inf + 57147 53.883 * [simplify]: Simplified to (- (- (- (log (cos th)) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (log (cbrt (sqrt 2)))) 53.883 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (- (log (cos th)) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (log (cbrt (sqrt 2)))))) 53.884 * * * * [progress]: [ 109 / 2703 ] simplifiying candidate # 53.884 * [simplify]: Simplifying (- (log (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (- (log (cbrt (sqrt 2))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))) 53.884 * * [simplify]: iters left: 6 (19 enodes) 53.889 * * [simplify]: iters left: 5 (71 enodes) 53.904 * * [simplify]: iters left: 4 (115 enodes) 53.925 * * [simplify]: iters left: 3 (222 enodes) 54.028 * * [simplify]: iters left: 2 (456 enodes) 54.274 * * [simplify]: Extracting #0: cost 1 inf + 0 54.274 * * [simplify]: Extracting #1: cost 48 inf + 0 54.274 * * [simplify]: Extracting #2: cost 127 inf + 0 54.275 * * [simplify]: Extracting #3: cost 145 inf + 0 54.276 * * [simplify]: Extracting #4: cost 145 inf + 556 54.277 * * [simplify]: Extracting #5: cost 143 inf + 1042 54.278 * * [simplify]: Extracting #6: cost 124 inf + 5153 54.280 * * [simplify]: Extracting #7: cost 103 inf + 11200 54.284 * * [simplify]: Extracting #8: cost 70 inf + 24968 54.302 * * [simplify]: Extracting #9: cost 12 inf + 54369 54.319 * * [simplify]: Extracting #10: cost 0 inf + 60891 54.334 * [simplify]: Simplified to (+ (+ (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))) (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (log (/ (cos th) (cbrt (sqrt 2))))) 54.335 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (+ (+ (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))) (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (log (/ (cos th) (cbrt (sqrt 2))))))) 54.335 * * * * [progress]: [ 110 / 2703 ] simplifiying candidate # 54.335 * [simplify]: Simplifying (- (log (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 54.335 * * [simplify]: iters left: 6 (18 enodes) 54.344 * * [simplify]: iters left: 5 (67 enodes) 54.369 * * [simplify]: iters left: 4 (105 enodes) 54.397 * * [simplify]: iters left: 3 (193 enodes) 54.447 * * [simplify]: iters left: 2 (378 enodes) 54.620 * * [simplify]: Extracting #0: cost 1 inf + 0 54.620 * * [simplify]: Extracting #1: cost 47 inf + 0 54.621 * * [simplify]: Extracting #2: cost 113 inf + 0 54.622 * * [simplify]: Extracting #3: cost 131 inf + 0 54.623 * * [simplify]: Extracting #4: cost 133 inf + 254 54.624 * * [simplify]: Extracting #5: cost 130 inf + 941 54.627 * * [simplify]: Extracting #6: cost 109 inf + 5253 54.633 * * [simplify]: Extracting #7: cost 64 inf + 21454 54.653 * * [simplify]: Extracting #8: cost 12 inf + 47478 54.678 * * [simplify]: Extracting #9: cost 0 inf + 53396 54.706 * [simplify]: Simplified to (- (log (/ (cos th) (cbrt (sqrt 2)))) (+ (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 54.706 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (- (log (/ (cos th) (cbrt (sqrt 2)))) (+ (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (log (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 54.706 * * * * [progress]: [ 111 / 2703 ] simplifiying candidate # 54.707 * [simplify]: Simplifying (log (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 54.707 * * [simplify]: iters left: 6 (17 enodes) 54.715 * * [simplify]: iters left: 5 (63 enodes) 54.736 * * [simplify]: iters left: 4 (111 enodes) 54.757 * * [simplify]: iters left: 3 (243 enodes) 54.827 * * [simplify]: Extracting #0: cost 1 inf + 0 54.827 * * [simplify]: Extracting #1: cost 41 inf + 0 54.828 * * [simplify]: Extracting #2: cost 118 inf + 0 54.829 * * [simplify]: Extracting #3: cost 159 inf + 0 54.830 * * [simplify]: Extracting #4: cost 160 inf + 325 54.831 * * [simplify]: Extracting #5: cost 149 inf + 1487 54.835 * * [simplify]: Extracting #6: cost 104 inf + 14457 54.846 * * [simplify]: Extracting #7: cost 48 inf + 35751 54.867 * * [simplify]: Extracting #8: cost 5 inf + 56202 54.890 * * [simplify]: Extracting #9: cost 0 inf + 58709 54.909 * [simplify]: Simplified to (log (/ (cos th) (/ (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))) 54.910 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (exp (log (/ (cos th) (/ (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))))) 54.910 * * * * [progress]: [ 112 / 2703 ] simplifiying candidate # 54.910 * [simplify]: Simplifying (exp (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 54.910 * * [simplify]: iters left: 6 (17 enodes) 54.915 * * [simplify]: iters left: 5 (60 enodes) 54.926 * * [simplify]: iters left: 4 (92 enodes) 54.950 * * [simplify]: iters left: 3 (171 enodes) 54.988 * * [simplify]: iters left: 2 (305 enodes) 55.119 * * [simplify]: Extracting #0: cost 1 inf + 0 55.119 * * [simplify]: Extracting #1: cost 33 inf + 0 55.119 * * [simplify]: Extracting #2: cost 101 inf + 0 55.120 * * [simplify]: Extracting #3: cost 139 inf + 42 55.121 * * [simplify]: Extracting #4: cost 130 inf + 734 55.124 * * [simplify]: Extracting #5: cost 103 inf + 5975 55.133 * * [simplify]: Extracting #6: cost 35 inf + 29161 55.150 * * [simplify]: Extracting #7: cost 2 inf + 43446 55.167 * * [simplify]: Extracting #8: cost 0 inf + 44174 55.185 * [simplify]: Simplified to (exp (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))) 55.185 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (log (exp (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))))) 55.185 * * * * [progress]: [ 113 / 2703 ] simplifiying candidate # 55.186 * [simplify]: Simplifying (/ (/ (* (* (cos th) (cos th)) (cos th)) (/ (* (sqrt 2) (sqrt 2)) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt 2) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 55.186 * * [simplify]: iters left: 6 (19 enodes) 55.196 * * [simplify]: iters left: 5 (68 enodes) 55.221 * * [simplify]: iters left: 4 (161 enodes) 55.302 * * [simplify]: Extracting #0: cost 1 inf + 0 55.302 * * [simplify]: Extracting #1: cost 62 inf + 0 55.303 * * [simplify]: Extracting #2: cost 205 inf + 0 55.304 * * [simplify]: Extracting #3: cost 214 inf + 1402 55.305 * * [simplify]: Extracting #4: cost 187 inf + 5809 55.308 * * [simplify]: Extracting #5: cost 141 inf + 18910 55.319 * * [simplify]: Extracting #6: cost 39 inf + 58094 55.349 * * [simplify]: Extracting #7: cost 0 inf + 75963 55.386 * [simplify]: Simplified to (/ (* (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cos th) 2) (* (cos th) (cos th)))) (/ (sqrt 2) (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 55.386 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (/ (* (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cos th) 2) (* (cos th) (cos th)))) (/ (sqrt 2) (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 55.386 * * * * [progress]: [ 114 / 2703 ] simplifiying candidate # 55.387 * [simplify]: Simplifying (/ (/ (* (* (cos th) (cos th)) (cos th)) (/ (* (sqrt 2) (sqrt 2)) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 55.387 * * [simplify]: iters left: 6 (22 enodes) 55.399 * * [simplify]: iters left: 5 (82 enodes) 55.414 * * [simplify]: iters left: 4 (205 enodes) 55.520 * * [simplify]: Extracting #0: cost 1 inf + 0 55.520 * * [simplify]: Extracting #1: cost 80 inf + 0 55.521 * * [simplify]: Extracting #2: cost 257 inf + 0 55.522 * * [simplify]: Extracting #3: cost 277 inf + 1642 55.523 * * [simplify]: Extracting #4: cost 259 inf + 4331 55.525 * * [simplify]: Extracting #5: cost 248 inf + 7503 55.531 * * [simplify]: Extracting #6: cost 180 inf + 33319 55.572 * * [simplify]: Extracting #7: cost 18 inf + 109507 55.617 * * [simplify]: Extracting #8: cost 0 inf + 119217 55.655 * [simplify]: Simplified to (/ (/ (/ (* (* (cos th) (cos th)) (cos th)) 2) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (+ (* a2 a2) (* a1 a1))))) 55.655 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (/ (/ (/ (* (* (cos th) (cos th)) (cos th)) 2) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (+ (* a2 a2) (* a1 a1))))))) 55.655 * * * * [progress]: [ 115 / 2703 ] simplifiying candidate # 55.656 * [simplify]: Simplifying (/ (/ (* (* (cos th) (cos th)) (cos th)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt 2) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 55.656 * * [simplify]: iters left: 6 (22 enodes) 55.669 * * [simplify]: iters left: 5 (92 enodes) 55.698 * * [simplify]: iters left: 4 (294 enodes) 55.884 * * [simplify]: Extracting #0: cost 1 inf + 0 55.885 * * [simplify]: Extracting #1: cost 121 inf + 0 55.886 * * [simplify]: Extracting #2: cost 568 inf + 0 55.889 * * [simplify]: Extracting #3: cost 641 inf + 1116 55.899 * * [simplify]: Extracting #4: cost 532 inf + 27826 55.928 * * [simplify]: Extracting #5: cost 289 inf + 123232 55.998 * * [simplify]: Extracting #6: cost 21 inf + 247071 56.070 * * [simplify]: Extracting #7: cost 0 inf + 256430 56.136 * * [simplify]: Extracting #8: cost 0 inf + 256390 56.200 * [simplify]: Simplified to (/ (/ (cos th) (* (/ (sqrt 2) (cos th)) (/ (sqrt 2) (cos th)))) (/ (sqrt 2) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))))) 56.200 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (/ (/ (cos th) (* (/ (sqrt 2) (cos th)) (/ (sqrt 2) (cos th)))) (/ (sqrt 2) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))))))) 56.200 * * * * [progress]: [ 116 / 2703 ] simplifiying candidate # 56.200 * [simplify]: Simplifying (/ (/ (* (* (cos th) (cos th)) (cos th)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 56.200 * * [simplify]: iters left: 6 (24 enodes) 56.207 * * [simplify]: iters left: 5 (103 enodes) 56.242 * * [simplify]: iters left: 4 (324 enodes) 56.453 * * [simplify]: Extracting #0: cost 1 inf + 0 56.453 * * [simplify]: Extracting #1: cost 132 inf + 0 56.455 * * [simplify]: Extracting #2: cost 579 inf + 0 56.458 * * [simplify]: Extracting #3: cost 681 inf + 507 56.461 * * [simplify]: Extracting #4: cost 668 inf + 1373 56.467 * * [simplify]: Extracting #5: cost 585 inf + 25048 56.514 * * [simplify]: Extracting #6: cost 307 inf + 142417 56.601 * * [simplify]: Extracting #7: cost 14 inf + 280532 56.711 * * [simplify]: Extracting #8: cost 0 inf + 287104 56.791 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2) (* (sqrt (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))) (/ (cos th) (* (/ (sqrt 2) (cos th)) (/ (sqrt 2) (cos th)))))) 56.791 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2) (* (sqrt (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))) (/ (cos th) (* (/ (sqrt 2) (cos th)) (/ (sqrt 2) (cos th)))))))) 56.791 * * * * [progress]: [ 117 / 2703 ] simplifiying candidate # 56.792 * [simplify]: Simplifying (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt 2) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 56.792 * * [simplify]: iters left: 6 (22 enodes) 56.801 * * [simplify]: iters left: 5 (89 enodes) 56.819 * * [simplify]: iters left: 4 (249 enodes) 56.954 * * [simplify]: Extracting #0: cost 1 inf + 0 56.955 * * [simplify]: Extracting #1: cost 103 inf + 0 56.957 * * [simplify]: Extracting #2: cost 379 inf + 0 56.961 * * [simplify]: Extracting #3: cost 402 inf + 4689 56.966 * * [simplify]: Extracting #4: cost 372 inf + 10702 56.990 * * [simplify]: Extracting #5: cost 226 inf + 79245 57.065 * * [simplify]: Extracting #6: cost 19 inf + 189257 57.133 * * [simplify]: Extracting #7: cost 0 inf + 200513 57.196 * [simplify]: Simplified to (* (/ (* (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1))))) 57.196 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (* (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 57.196 * * * * [progress]: [ 118 / 2703 ] simplifiying candidate # 57.197 * [simplify]: Simplifying (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 57.197 * * [simplify]: iters left: 6 (22 enodes) 57.209 * * [simplify]: iters left: 5 (95 enodes) 57.242 * * [simplify]: iters left: 4 (259 enodes) 57.379 * * [simplify]: Extracting #0: cost 1 inf + 0 57.380 * * [simplify]: Extracting #1: cost 110 inf + 0 57.386 * * [simplify]: Extracting #2: cost 359 inf + 0 57.388 * * [simplify]: Extracting #3: cost 405 inf + 608 57.390 * * [simplify]: Extracting #4: cost 393 inf + 3552 57.393 * * [simplify]: Extracting #5: cost 372 inf + 7722 57.406 * * [simplify]: Extracting #6: cost 233 inf + 79881 57.478 * * [simplify]: Extracting #7: cost 16 inf + 198407 57.536 * * [simplify]: Extracting #8: cost 0 inf + 205326 57.592 * * [simplify]: Extracting #9: cost 0 inf + 205246 57.660 * [simplify]: Simplified to (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 57.660 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))))) 57.660 * * * * [progress]: [ 119 / 2703 ] simplifiying candidate # 57.661 * [simplify]: Simplifying (/ (* (* (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt 2) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 57.661 * * [simplify]: iters left: 6 (20 enodes) 57.666 * * [simplify]: iters left: 5 (77 enodes) 57.680 * * [simplify]: iters left: 4 (185 enodes) 57.790 * * [simplify]: Extracting #0: cost 1 inf + 0 57.790 * * [simplify]: Extracting #1: cost 104 inf + 0 57.792 * * [simplify]: Extracting #2: cost 358 inf + 0 57.797 * * [simplify]: Extracting #3: cost 363 inf + 3320 57.802 * * [simplify]: Extracting #4: cost 326 inf + 11945 57.820 * * [simplify]: Extracting #5: cost 150 inf + 101733 57.877 * * [simplify]: Extracting #6: cost 3 inf + 178666 57.919 * * [simplify]: Extracting #7: cost 0 inf + 180498 57.983 * [simplify]: Simplified to (/ (* (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))) 57.983 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (/ (* (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))))) 57.983 * * * * [progress]: [ 120 / 2703 ] simplifiying candidate # 57.984 * [simplify]: Simplifying (/ (* (* (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 57.984 * * [simplify]: iters left: 6 (20 enodes) 57.990 * * [simplify]: iters left: 5 (86 enodes) 58.024 * * [simplify]: iters left: 4 (221 enodes) 58.165 * * [simplify]: Extracting #0: cost 1 inf + 0 58.166 * * [simplify]: Extracting #1: cost 142 inf + 0 58.169 * * [simplify]: Extracting #2: cost 441 inf + 1 58.178 * * [simplify]: Extracting #3: cost 458 inf + 638 58.183 * * [simplify]: Extracting #4: cost 443 inf + 4518 58.213 * * [simplify]: Extracting #5: cost 266 inf + 90700 58.303 * * [simplify]: Extracting #6: cost 5 inf + 233125 58.369 * * [simplify]: Extracting #7: cost 0 inf + 235325 58.457 * [simplify]: Simplified to (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))) (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))) (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))) 58.457 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))) (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))) (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))))) 58.457 * * * * [progress]: [ 121 / 2703 ] simplifiying candidate # 58.458 * [simplify]: Simplifying (* (cbrt (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 58.458 * * [simplify]: iters left: 6 (18 enodes) 58.467 * * [simplify]: iters left: 5 (63 enodes) 58.479 * * [simplify]: iters left: 4 (93 enodes) 58.497 * * [simplify]: iters left: 3 (167 enodes) 58.550 * * [simplify]: iters left: 2 (285 enodes) 58.679 * * [simplify]: iters left: 1 (424 enodes) 58.856 * * [simplify]: Extracting #0: cost 1 inf + 0 58.857 * * [simplify]: Extracting #1: cost 3 inf + 0 58.857 * * [simplify]: Extracting #2: cost 5 inf + 0 58.857 * * [simplify]: Extracting #3: cost 50 inf + 0 58.857 * * [simplify]: Extracting #4: cost 110 inf + 0 58.858 * * [simplify]: Extracting #5: cost 116 inf + 149 58.861 * * [simplify]: Extracting #6: cost 74 inf + 8781 58.871 * * [simplify]: Extracting #7: cost 12 inf + 28201 58.886 * * [simplify]: Extracting #8: cost 0 inf + 32399 58.894 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) 58.894 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (cos th) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 58.895 * [simplify]: Simplifying (cbrt (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 58.895 * * [simplify]: iters left: 6 (17 enodes) 58.900 * * [simplify]: iters left: 5 (60 enodes) 58.909 * * [simplify]: iters left: 4 (90 enodes) 58.927 * * [simplify]: iters left: 3 (164 enodes) 58.981 * * [simplify]: iters left: 2 (283 enodes) 59.114 * * [simplify]: iters left: 1 (421 enodes) 59.310 * * [simplify]: Extracting #0: cost 1 inf + 0 59.310 * * [simplify]: Extracting #1: cost 3 inf + 0 59.310 * * [simplify]: Extracting #2: cost 48 inf + 0 59.311 * * [simplify]: Extracting #3: cost 108 inf + 0 59.312 * * [simplify]: Extracting #4: cost 114 inf + 149 59.315 * * [simplify]: Extracting #5: cost 71 inf + 8239 59.326 * * [simplify]: Extracting #6: cost 10 inf + 28323 59.339 * * [simplify]: Extracting #7: cost 0 inf + 31551 59.347 * [simplify]: Simplified to (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))) 59.347 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))))) 59.347 * * * * [progress]: [ 122 / 2703 ] simplifiying candidate # 59.348 * [simplify]: Simplifying (* (* (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 59.348 * * [simplify]: iters left: 6 (18 enodes) 59.352 * * [simplify]: iters left: 5 (70 enodes) 59.368 * * [simplify]: iters left: 4 (163 enodes) 59.477 * * [simplify]: Extracting #0: cost 1 inf + 0 59.477 * * [simplify]: Extracting #1: cost 60 inf + 0 59.478 * * [simplify]: Extracting #2: cost 211 inf + 1 59.479 * * [simplify]: Extracting #3: cost 237 inf + 125 59.480 * * [simplify]: Extracting #4: cost 233 inf + 1144 59.481 * * [simplify]: Extracting #5: cost 216 inf + 4934 59.485 * * [simplify]: Extracting #6: cost 167 inf + 26304 59.513 * * [simplify]: Extracting #7: cost 11 inf + 112823 59.541 * * [simplify]: Extracting #8: cost 0 inf + 118634 59.576 * * [simplify]: Extracting #9: cost 0 inf + 118554 59.604 * [simplify]: Simplified to (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))) 59.604 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))))) 59.605 * * * * [progress]: [ 123 / 2703 ] simplifiying candidate # 59.605 * [simplify]: Simplifying (sqrt (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 59.605 * * [simplify]: iters left: 6 (17 enodes) 59.609 * * [simplify]: iters left: 5 (60 enodes) 59.628 * * [simplify]: iters left: 4 (90 enodes) 59.659 * * [simplify]: iters left: 3 (164 enodes) 59.722 * * [simplify]: iters left: 2 (283 enodes) 59.832 * * [simplify]: iters left: 1 (421 enodes) 60.059 * * [simplify]: Extracting #0: cost 1 inf + 0 60.059 * * [simplify]: Extracting #1: cost 3 inf + 0 60.059 * * [simplify]: Extracting #2: cost 48 inf + 0 60.059 * * [simplify]: Extracting #3: cost 108 inf + 0 60.060 * * [simplify]: Extracting #4: cost 114 inf + 149 60.061 * * [simplify]: Extracting #5: cost 71 inf + 8239 60.067 * * [simplify]: Extracting #6: cost 10 inf + 28243 60.074 * * [simplify]: Extracting #7: cost 0 inf + 31471 60.086 * [simplify]: Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))) 60.086 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))) (sqrt (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 60.087 * [simplify]: Simplifying (sqrt (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 60.087 * * [simplify]: iters left: 6 (17 enodes) 60.096 * * [simplify]: iters left: 5 (60 enodes) 60.115 * * [simplify]: iters left: 4 (90 enodes) 60.141 * * [simplify]: iters left: 3 (164 enodes) 60.187 * * [simplify]: iters left: 2 (283 enodes) 60.276 * * [simplify]: iters left: 1 (421 enodes) 60.421 * * [simplify]: Extracting #0: cost 1 inf + 0 60.421 * * [simplify]: Extracting #1: cost 3 inf + 0 60.421 * * [simplify]: Extracting #2: cost 48 inf + 0 60.422 * * [simplify]: Extracting #3: cost 108 inf + 0 60.422 * * [simplify]: Extracting #4: cost 114 inf + 149 60.424 * * [simplify]: Extracting #5: cost 71 inf + 8239 60.433 * * [simplify]: Extracting #6: cost 10 inf + 28243 60.448 * * [simplify]: Extracting #7: cost 0 inf + 31471 60.459 * [simplify]: Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))) 60.459 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (sqrt (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))))) 60.459 * * * * [progress]: [ 124 / 2703 ] simplifiying candidate # 60.459 * [simplify]: Simplifying (- (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 60.459 * * [simplify]: iters left: 6 (15 enodes) 60.463 * * [simplify]: iters left: 5 (52 enodes) 60.471 * * [simplify]: iters left: 4 (74 enodes) 60.484 * * [simplify]: iters left: 3 (121 enodes) 60.518 * * [simplify]: iters left: 2 (159 enodes) 60.543 * * [simplify]: iters left: 1 (188 enodes) 60.584 * * [simplify]: Extracting #0: cost 1 inf + 0 60.584 * * [simplify]: Extracting #1: cost 28 inf + 0 60.584 * * [simplify]: Extracting #2: cost 57 inf + 0 60.585 * * [simplify]: Extracting #3: cost 61 inf + 123 60.585 * * [simplify]: Extracting #4: cost 54 inf + 1456 60.586 * * [simplify]: Extracting #5: cost 36 inf + 5027 60.588 * * [simplify]: Extracting #6: cost 11 inf + 12757 60.591 * * [simplify]: Extracting #7: cost 0 inf + 16813 60.594 * [simplify]: Simplified to (- (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 60.594 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (/ (- (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (- (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 60.594 * [simplify]: Simplifying (- (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 60.594 * * [simplify]: iters left: 6 (11 enodes) 60.597 * * [simplify]: iters left: 5 (36 enodes) 60.603 * * [simplify]: iters left: 4 (38 enodes) 60.609 * * [simplify]: Extracting #0: cost 1 inf + 0 60.609 * * [simplify]: Extracting #1: cost 5 inf + 0 60.609 * * [simplify]: Extracting #2: cost 10 inf + 0 60.609 * * [simplify]: Extracting #3: cost 15 inf + 0 60.609 * * [simplify]: Extracting #4: cost 21 inf + 0 60.610 * * [simplify]: Extracting #5: cost 18 inf + 3 60.610 * * [simplify]: Extracting #6: cost 12 inf + 330 60.611 * * [simplify]: Extracting #7: cost 4 inf + 1543 60.612 * * [simplify]: Extracting #8: cost 0 inf + 2753 60.612 * [simplify]: Simplified to (- (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 60.612 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (/ (- (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (- (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 60.612 * * * * [progress]: [ 125 / 2703 ] simplifiying candidate # 60.612 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 60.613 * * [simplify]: iters left: 6 (20 enodes) 60.617 * * [simplify]: iters left: 5 (71 enodes) 60.639 * * [simplify]: iters left: 4 (97 enodes) 60.657 * * [simplify]: iters left: 3 (121 enodes) 60.674 * * [simplify]: iters left: 2 (130 enodes) 60.704 * * [simplify]: iters left: 1 (138 enodes) 60.739 * * [simplify]: Extracting #0: cost 1 inf + 0 60.739 * * [simplify]: Extracting #1: cost 11 inf + 0 60.740 * * [simplify]: Extracting #2: cost 22 inf + 0 60.740 * * [simplify]: Extracting #3: cost 37 inf + 0 60.740 * * [simplify]: Extracting #4: cost 52 inf + 0 60.740 * * [simplify]: Extracting #5: cost 54 inf + 123 60.741 * * [simplify]: Extracting #6: cost 47 inf + 1799 60.742 * * [simplify]: Extracting #7: cost 37 inf + 3093 60.744 * * [simplify]: Extracting #8: cost 23 inf + 7454 60.747 * * [simplify]: Extracting #9: cost 16 inf + 10358 60.752 * * [simplify]: Extracting #10: cost 4 inf + 17762 60.756 * * [simplify]: Extracting #11: cost 0 inf + 20738 60.760 * [simplify]: Simplified to (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 60.760 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 60.760 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 60.760 * * [simplify]: iters left: 6 (18 enodes) 60.765 * * [simplify]: iters left: 5 (59 enodes) 60.774 * * [simplify]: iters left: 4 (70 enodes) 60.785 * * [simplify]: iters left: 3 (87 enodes) 60.809 * * [simplify]: iters left: 2 (93 enodes) 60.834 * * [simplify]: iters left: 1 (101 enodes) 60.862 * * [simplify]: Extracting #0: cost 1 inf + 0 60.862 * * [simplify]: Extracting #1: cost 4 inf + 0 60.863 * * [simplify]: Extracting #2: cost 8 inf + 0 60.863 * * [simplify]: Extracting #3: cost 23 inf + 0 60.863 * * [simplify]: Extracting #4: cost 38 inf + 0 60.863 * * [simplify]: Extracting #5: cost 41 inf + 62 60.863 * * [simplify]: Extracting #6: cost 38 inf + 710 60.864 * * [simplify]: Extracting #7: cost 24 inf + 3052 60.866 * * [simplify]: Extracting #8: cost 7 inf + 8000 60.869 * * [simplify]: Extracting #9: cost 1 inf + 10620 60.872 * * [simplify]: Extracting #10: cost 0 inf + 11324 60.875 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 60.875 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 60.875 * * * * [progress]: [ 126 / 2703 ] simplifiying candidate # 60.875 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 60.875 * * [simplify]: iters left: 6 (19 enodes) 60.880 * * [simplify]: iters left: 5 (64 enodes) 60.890 * * [simplify]: iters left: 4 (79 enodes) 60.902 * * [simplify]: iters left: 3 (99 enodes) 60.930 * * [simplify]: iters left: 2 (105 enodes) 60.958 * * [simplify]: iters left: 1 (113 enodes) 60.975 * * [simplify]: Extracting #0: cost 1 inf + 0 60.975 * * [simplify]: Extracting #1: cost 7 inf + 0 60.975 * * [simplify]: Extracting #2: cost 14 inf + 0 60.975 * * [simplify]: Extracting #3: cost 29 inf + 0 60.975 * * [simplify]: Extracting #4: cost 44 inf + 0 60.975 * * [simplify]: Extracting #5: cost 46 inf + 123 60.976 * * [simplify]: Extracting #6: cost 40 inf + 1577 60.976 * * [simplify]: Extracting #7: cost 30 inf + 2831 60.977 * * [simplify]: Extracting #8: cost 13 inf + 8301 60.979 * * [simplify]: Extracting #9: cost 5 inf + 11668 60.981 * * [simplify]: Extracting #10: cost 0 inf + 15068 60.983 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 60.983 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 60.984 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 60.984 * * [simplify]: iters left: 6 (18 enodes) 60.990 * * [simplify]: iters left: 5 (59 enodes) 61.007 * * [simplify]: iters left: 4 (70 enodes) 61.017 * * [simplify]: iters left: 3 (87 enodes) 61.030 * * [simplify]: iters left: 2 (93 enodes) 61.042 * * [simplify]: iters left: 1 (101 enodes) 61.058 * * [simplify]: Extracting #0: cost 1 inf + 0 61.058 * * [simplify]: Extracting #1: cost 4 inf + 0 61.058 * * [simplify]: Extracting #2: cost 8 inf + 0 61.058 * * [simplify]: Extracting #3: cost 23 inf + 0 61.058 * * [simplify]: Extracting #4: cost 38 inf + 0 61.058 * * [simplify]: Extracting #5: cost 41 inf + 62 61.059 * * [simplify]: Extracting #6: cost 38 inf + 710 61.060 * * [simplify]: Extracting #7: cost 24 inf + 3052 61.062 * * [simplify]: Extracting #8: cost 7 inf + 7960 61.065 * * [simplify]: Extracting #9: cost 1 inf + 10500 61.068 * * [simplify]: Extracting #10: cost 0 inf + 11164 61.071 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 61.071 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 61.072 * * * * [progress]: [ 127 / 2703 ] simplifiying candidate # 61.072 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 61.072 * * [simplify]: iters left: 6 (21 enodes) 61.082 * * [simplify]: iters left: 5 (74 enodes) 61.105 * * [simplify]: iters left: 4 (107 enodes) 61.138 * * [simplify]: iters left: 3 (165 enodes) 61.180 * * [simplify]: iters left: 2 (220 enodes) 61.228 * * [simplify]: iters left: 1 (256 enodes) 61.301 * * [simplify]: Extracting #0: cost 1 inf + 0 61.301 * * [simplify]: Extracting #1: cost 25 inf + 0 61.301 * * [simplify]: Extracting #2: cost 51 inf + 0 61.302 * * [simplify]: Extracting #3: cost 67 inf + 0 61.302 * * [simplify]: Extracting #4: cost 83 inf + 0 61.303 * * [simplify]: Extracting #5: cost 86 inf + 123 61.303 * * [simplify]: Extracting #6: cost 71 inf + 1902 61.306 * * [simplify]: Extracting #7: cost 46 inf + 9587 61.315 * * [simplify]: Extracting #8: cost 12 inf + 30348 61.330 * * [simplify]: Extracting #9: cost 0 inf + 38893 61.338 * * [simplify]: Extracting #10: cost 0 inf + 38853 61.346 * [simplify]: Simplified to (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 61.346 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 61.346 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 61.346 * * [simplify]: iters left: 6 (19 enodes) 61.352 * * [simplify]: iters left: 5 (64 enodes) 61.371 * * [simplify]: iters left: 4 (81 enodes) 61.395 * * [simplify]: iters left: 3 (104 enodes) 61.418 * * [simplify]: iters left: 2 (110 enodes) 61.436 * * [simplify]: iters left: 1 (118 enodes) 61.451 * * [simplify]: Extracting #0: cost 1 inf + 0 61.452 * * [simplify]: Extracting #1: cost 8 inf + 0 61.452 * * [simplify]: Extracting #2: cost 17 inf + 0 61.452 * * [simplify]: Extracting #3: cost 34 inf + 0 61.452 * * [simplify]: Extracting #4: cost 51 inf + 0 61.452 * * [simplify]: Extracting #5: cost 44 inf + 1011 61.453 * * [simplify]: Extracting #6: cost 31 inf + 3051 61.455 * * [simplify]: Extracting #7: cost 16 inf + 7191 61.458 * * [simplify]: Extracting #8: cost 2 inf + 13618 61.462 * * [simplify]: Extracting #9: cost 0 inf + 15186 61.464 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))) 61.464 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 61.464 * * * * [progress]: [ 128 / 2703 ] simplifiying candidate # 61.465 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 61.465 * * [simplify]: iters left: 6 (22 enodes) 61.470 * * [simplify]: iters left: 5 (76 enodes) 61.482 * * [simplify]: iters left: 4 (101 enodes) 61.498 * * [simplify]: iters left: 3 (139 enodes) 61.537 * * [simplify]: iters left: 2 (158 enodes) 61.559 * * [simplify]: iters left: 1 (171 enodes) 61.596 * * [simplify]: Extracting #0: cost 1 inf + 0 61.596 * * [simplify]: Extracting #1: cost 17 inf + 0 61.596 * * [simplify]: Extracting #2: cost 35 inf + 0 61.596 * * [simplify]: Extracting #3: cost 53 inf + 0 61.597 * * [simplify]: Extracting #4: cost 70 inf + 0 61.597 * * [simplify]: Extracting #5: cost 74 inf + 62 61.598 * * [simplify]: Extracting #6: cost 59 inf + 1520 61.600 * * [simplify]: Extracting #7: cost 32 inf + 10331 61.608 * * [simplify]: Extracting #8: cost 4 inf + 25344 61.617 * * [simplify]: Extracting #9: cost 0 inf + 28440 61.627 * [simplify]: Simplified to (* (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 61.627 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 61.628 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 61.628 * * [simplify]: iters left: 6 (20 enodes) 61.638 * * [simplify]: iters left: 5 (67 enodes) 61.660 * * [simplify]: iters left: 4 (84 enodes) 61.685 * * [simplify]: iters left: 3 (107 enodes) 61.715 * * [simplify]: iters left: 2 (113 enodes) 61.745 * * [simplify]: iters left: 1 (121 enodes) 61.775 * * [simplify]: Extracting #0: cost 1 inf + 0 61.776 * * [simplify]: Extracting #1: cost 8 inf + 0 61.776 * * [simplify]: Extracting #2: cost 17 inf + 0 61.776 * * [simplify]: Extracting #3: cost 35 inf + 0 61.776 * * [simplify]: Extracting #4: cost 53 inf + 0 61.776 * * [simplify]: Extracting #5: cost 46 inf + 1172 61.777 * * [simplify]: Extracting #6: cost 32 inf + 3454 61.779 * * [simplify]: Extracting #7: cost 15 inf + 8581 61.782 * * [simplify]: Extracting #8: cost 7 inf + 11486 61.786 * * [simplify]: Extracting #9: cost 1 inf + 15267 61.792 * * [simplify]: Extracting #10: cost 0 inf + 15750 61.797 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) 61.797 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))))) 61.797 * * * * [progress]: [ 129 / 2703 ] simplifiying candidate # 61.798 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 61.798 * * [simplify]: iters left: 6 (20 enodes) 61.807 * * [simplify]: iters left: 5 (69 enodes) 61.824 * * [simplify]: iters left: 4 (94 enodes) 61.838 * * [simplify]: iters left: 3 (132 enodes) 61.863 * * [simplify]: iters left: 2 (151 enodes) 61.891 * * [simplify]: iters left: 1 (164 enodes) 61.922 * * [simplify]: Extracting #0: cost 1 inf + 0 61.922 * * [simplify]: Extracting #1: cost 17 inf + 0 61.922 * * [simplify]: Extracting #2: cost 34 inf + 0 61.922 * * [simplify]: Extracting #3: cost 50 inf + 0 61.923 * * [simplify]: Extracting #4: cost 66 inf + 0 61.923 * * [simplify]: Extracting #5: cost 70 inf + 62 61.924 * * [simplify]: Extracting #6: cost 57 inf + 1337 61.925 * * [simplify]: Extracting #7: cost 46 inf + 3394 61.928 * * [simplify]: Extracting #8: cost 25 inf + 12242 61.936 * * [simplify]: Extracting #9: cost 2 inf + 25624 61.945 * * [simplify]: Extracting #10: cost 0 inf + 27032 61.950 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 61.950 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 61.951 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 61.951 * * [simplify]: iters left: 6 (19 enodes) 61.955 * * [simplify]: iters left: 5 (64 enodes) 61.965 * * [simplify]: iters left: 4 (81 enodes) 61.978 * * [simplify]: iters left: 3 (104 enodes) 62.006 * * [simplify]: iters left: 2 (110 enodes) 62.034 * * [simplify]: iters left: 1 (118 enodes) 62.052 * * [simplify]: Extracting #0: cost 1 inf + 0 62.052 * * [simplify]: Extracting #1: cost 8 inf + 0 62.052 * * [simplify]: Extracting #2: cost 17 inf + 0 62.052 * * [simplify]: Extracting #3: cost 34 inf + 0 62.052 * * [simplify]: Extracting #4: cost 51 inf + 0 62.052 * * [simplify]: Extracting #5: cost 44 inf + 1011 62.053 * * [simplify]: Extracting #6: cost 31 inf + 3051 62.054 * * [simplify]: Extracting #7: cost 16 inf + 7151 62.056 * * [simplify]: Extracting #8: cost 2 inf + 13378 62.058 * * [simplify]: Extracting #9: cost 0 inf + 14866 62.060 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))) 62.061 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 62.061 * * * * [progress]: [ 130 / 2703 ] simplifiying candidate # 62.061 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 62.061 * * [simplify]: iters left: 6 (21 enodes) 62.069 * * [simplify]: iters left: 5 (74 enodes) 62.088 * * [simplify]: iters left: 4 (92 enodes) 62.102 * * [simplify]: iters left: 3 (125 enodes) 62.130 * * [simplify]: iters left: 2 (140 enodes) 62.166 * * [simplify]: iters left: 1 (149 enodes) 62.201 * * [simplify]: Extracting #0: cost 1 inf + 0 62.201 * * [simplify]: Extracting #1: cost 8 inf + 0 62.201 * * [simplify]: Extracting #2: cost 14 inf + 1 62.201 * * [simplify]: Extracting #3: cost 29 inf + 1 62.201 * * [simplify]: Extracting #4: cost 44 inf + 1 62.201 * * [simplify]: Extracting #5: cost 46 inf + 124 62.202 * * [simplify]: Extracting #6: cost 39 inf + 1739 62.203 * * [simplify]: Extracting #7: cost 28 inf + 3535 62.206 * * [simplify]: Extracting #8: cost 9 inf + 9912 62.210 * * [simplify]: Extracting #9: cost 2 inf + 13457 62.215 * * [simplify]: Extracting #10: cost 0 inf + 14825 62.220 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 62.220 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 62.221 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 62.221 * * [simplify]: iters left: 6 (18 enodes) 62.230 * * [simplify]: iters left: 5 (61 enodes) 62.248 * * [simplify]: iters left: 4 (78 enodes) 62.273 * * [simplify]: iters left: 3 (101 enodes) 62.302 * * [simplify]: iters left: 2 (107 enodes) 62.329 * * [simplify]: iters left: 1 (115 enodes) 62.354 * * [simplify]: Extracting #0: cost 1 inf + 0 62.354 * * [simplify]: Extracting #1: cost 8 inf + 0 62.354 * * [simplify]: Extracting #2: cost 17 inf + 0 62.354 * * [simplify]: Extracting #3: cost 35 inf + 0 62.354 * * [simplify]: Extracting #4: cost 53 inf + 0 62.354 * * [simplify]: Extracting #5: cost 39 inf + 1095 62.355 * * [simplify]: Extracting #6: cost 19 inf + 5859 62.357 * * [simplify]: Extracting #7: cost 2 inf + 13235 62.359 * * [simplify]: Extracting #8: cost 0 inf + 14222 62.361 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) 62.361 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))))) 62.361 * * * * [progress]: [ 131 / 2703 ] simplifiying candidate # 62.361 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 62.361 * * [simplify]: iters left: 6 (20 enodes) 62.366 * * [simplify]: iters left: 5 (69 enodes) 62.379 * * [simplify]: iters left: 4 (94 enodes) 62.394 * * [simplify]: iters left: 3 (132 enodes) 62.413 * * [simplify]: iters left: 2 (151 enodes) 62.444 * * [simplify]: iters left: 1 (164 enodes) 62.491 * * [simplify]: Extracting #0: cost 1 inf + 0 62.491 * * [simplify]: Extracting #1: cost 17 inf + 0 62.492 * * [simplify]: Extracting #2: cost 34 inf + 0 62.492 * * [simplify]: Extracting #3: cost 50 inf + 0 62.492 * * [simplify]: Extracting #4: cost 66 inf + 0 62.492 * * [simplify]: Extracting #5: cost 70 inf + 62 62.493 * * [simplify]: Extracting #6: cost 57 inf + 1337 62.494 * * [simplify]: Extracting #7: cost 46 inf + 3394 62.497 * * [simplify]: Extracting #8: cost 25 inf + 12242 62.505 * * [simplify]: Extracting #9: cost 2 inf + 25624 62.514 * * [simplify]: Extracting #10: cost 0 inf + 27032 62.521 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 62.521 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 62.521 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 62.522 * * [simplify]: iters left: 6 (19 enodes) 62.526 * * [simplify]: iters left: 5 (64 enodes) 62.536 * * [simplify]: iters left: 4 (81 enodes) 62.559 * * [simplify]: iters left: 3 (104 enodes) 62.576 * * [simplify]: iters left: 2 (110 enodes) 62.592 * * [simplify]: iters left: 1 (118 enodes) 62.612 * * [simplify]: Extracting #0: cost 1 inf + 0 62.612 * * [simplify]: Extracting #1: cost 8 inf + 0 62.612 * * [simplify]: Extracting #2: cost 17 inf + 0 62.612 * * [simplify]: Extracting #3: cost 34 inf + 0 62.612 * * [simplify]: Extracting #4: cost 51 inf + 0 62.612 * * [simplify]: Extracting #5: cost 44 inf + 1011 62.613 * * [simplify]: Extracting #6: cost 31 inf + 3051 62.614 * * [simplify]: Extracting #7: cost 16 inf + 7151 62.616 * * [simplify]: Extracting #8: cost 2 inf + 13378 62.618 * * [simplify]: Extracting #9: cost 0 inf + 14866 62.620 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))) 62.620 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 62.620 * * * * [progress]: [ 132 / 2703 ] simplifiying candidate # 62.621 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 62.621 * * [simplify]: iters left: 6 (20 enodes) 62.626 * * [simplify]: iters left: 5 (69 enodes) 62.646 * * [simplify]: iters left: 4 (89 enodes) 62.673 * * [simplify]: iters left: 3 (122 enodes) 62.709 * * [simplify]: iters left: 2 (138 enodes) 62.748 * * [simplify]: iters left: 1 (153 enodes) 62.788 * * [simplify]: Extracting #0: cost 1 inf + 0 62.788 * * [simplify]: Extracting #1: cost 12 inf + 0 62.789 * * [simplify]: Extracting #2: cost 20 inf + 1 62.789 * * [simplify]: Extracting #3: cost 35 inf + 1 62.789 * * [simplify]: Extracting #4: cost 50 inf + 1 62.789 * * [simplify]: Extracting #5: cost 53 inf + 63 62.790 * * [simplify]: Extracting #6: cost 44 inf + 2001 62.791 * * [simplify]: Extracting #7: cost 34 inf + 3314 62.794 * * [simplify]: Extracting #8: cost 12 inf + 11339 62.799 * * [simplify]: Extracting #9: cost 0 inf + 17824 62.806 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 62.806 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 62.806 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 62.807 * * [simplify]: iters left: 6 (18 enodes) 62.815 * * [simplify]: iters left: 5 (61 enodes) 62.834 * * [simplify]: iters left: 4 (78 enodes) 62.852 * * [simplify]: iters left: 3 (101 enodes) 62.877 * * [simplify]: iters left: 2 (107 enodes) 62.894 * * [simplify]: iters left: 1 (115 enodes) 62.915 * * [simplify]: Extracting #0: cost 1 inf + 0 62.915 * * [simplify]: Extracting #1: cost 8 inf + 0 62.915 * * [simplify]: Extracting #2: cost 17 inf + 0 62.916 * * [simplify]: Extracting #3: cost 35 inf + 0 62.916 * * [simplify]: Extracting #4: cost 53 inf + 0 62.916 * * [simplify]: Extracting #5: cost 39 inf + 1095 62.918 * * [simplify]: Extracting #6: cost 19 inf + 5859 62.921 * * [simplify]: Extracting #7: cost 2 inf + 13235 62.925 * * [simplify]: Extracting #8: cost 0 inf + 14222 62.929 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) 62.929 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))))) 62.929 * * * * [progress]: [ 133 / 2703 ] simplifiying candidate # 62.930 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 62.930 * * [simplify]: iters left: 6 (24 enodes) 62.941 * * [simplify]: iters left: 5 (84 enodes) 62.964 * * [simplify]: iters left: 4 (117 enodes) 62.997 * * [simplify]: iters left: 3 (175 enodes) 63.029 * * [simplify]: iters left: 2 (231 enodes) 63.096 * * [simplify]: iters left: 1 (267 enodes) 63.142 * * [simplify]: Extracting #0: cost 1 inf + 0 63.143 * * [simplify]: Extracting #1: cost 25 inf + 0 63.143 * * [simplify]: Extracting #2: cost 51 inf + 0 63.143 * * [simplify]: Extracting #3: cost 70 inf + 0 63.144 * * [simplify]: Extracting #4: cost 90 inf + 0 63.145 * * [simplify]: Extracting #5: cost 86 inf + 749 63.146 * * [simplify]: Extracting #6: cost 70 inf + 2932 63.149 * * [simplify]: Extracting #7: cost 41 inf + 12489 63.156 * * [simplify]: Extracting #8: cost 15 inf + 29981 63.164 * * [simplify]: Extracting #9: cost 1 inf + 41195 63.173 * * [simplify]: Extracting #10: cost 0 inf + 41899 63.181 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (fabs (cbrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 63.182 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (fabs (cbrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 63.182 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 63.182 * * [simplify]: iters left: 6 (21 enodes) 63.189 * * [simplify]: iters left: 5 (70 enodes) 63.200 * * [simplify]: iters left: 4 (87 enodes) 63.220 * * [simplify]: iters left: 3 (110 enodes) 63.237 * * [simplify]: iters left: 2 (116 enodes) 63.255 * * [simplify]: iters left: 1 (124 enodes) 63.288 * * [simplify]: Extracting #0: cost 1 inf + 0 63.288 * * [simplify]: Extracting #1: cost 8 inf + 0 63.288 * * [simplify]: Extracting #2: cost 17 inf + 0 63.288 * * [simplify]: Extracting #3: cost 35 inf + 0 63.288 * * [simplify]: Extracting #4: cost 54 inf + 0 63.289 * * [simplify]: Extracting #5: cost 50 inf + 810 63.289 * * [simplify]: Extracting #6: cost 32 inf + 3395 63.294 * * [simplify]: Extracting #7: cost 16 inf + 7595 63.298 * * [simplify]: Extracting #8: cost 8 inf + 10942 63.302 * * [simplify]: Extracting #9: cost 0 inf + 16070 63.307 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 63.307 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 63.307 * * * * [progress]: [ 134 / 2703 ] simplifiying candidate # 63.308 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 63.308 * * [simplify]: iters left: 6 (25 enodes) 63.320 * * [simplify]: iters left: 5 (86 enodes) 63.346 * * [simplify]: iters left: 4 (111 enodes) 63.380 * * [simplify]: iters left: 3 (149 enodes) 63.405 * * [simplify]: iters left: 2 (168 enodes) 63.442 * * [simplify]: iters left: 1 (181 enodes) 63.477 * * [simplify]: Extracting #0: cost 1 inf + 0 63.477 * * [simplify]: Extracting #1: cost 17 inf + 0 63.477 * * [simplify]: Extracting #2: cost 35 inf + 0 63.477 * * [simplify]: Extracting #3: cost 56 inf + 0 63.477 * * [simplify]: Extracting #4: cost 77 inf + 0 63.478 * * [simplify]: Extracting #5: cost 72 inf + 1011 63.478 * * [simplify]: Extracting #6: cost 55 inf + 3435 63.480 * * [simplify]: Extracting #7: cost 26 inf + 14013 63.484 * * [simplify]: Extracting #8: cost 2 inf + 29339 63.489 * * [simplify]: Extracting #9: cost 0 inf + 30646 63.494 * [simplify]: Simplified to (* (* (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (fabs (cbrt 2))))) 63.494 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (fabs (cbrt 2))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 63.494 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 63.495 * * [simplify]: iters left: 6 (22 enodes) 63.500 * * [simplify]: iters left: 5 (73 enodes) 63.518 * * [simplify]: iters left: 4 (90 enodes) 63.544 * * [simplify]: iters left: 3 (113 enodes) 63.560 * * [simplify]: iters left: 2 (119 enodes) 63.577 * * [simplify]: iters left: 1 (127 enodes) 63.594 * * [simplify]: Extracting #0: cost 1 inf + 0 63.594 * * [simplify]: Extracting #1: cost 8 inf + 0 63.594 * * [simplify]: Extracting #2: cost 17 inf + 0 63.595 * * [simplify]: Extracting #3: cost 36 inf + 0 63.595 * * [simplify]: Extracting #4: cost 56 inf + 0 63.595 * * [simplify]: Extracting #5: cost 49 inf + 1113 63.595 * * [simplify]: Extracting #6: cost 33 inf + 3476 63.597 * * [simplify]: Extracting #7: cost 12 inf + 9873 63.599 * * [simplify]: Extracting #8: cost 2 inf + 15447 63.604 * * [simplify]: Extracting #9: cost 0 inf + 16634 63.609 * [simplify]: Simplified to (* (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) 63.609 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 63.610 * * * * [progress]: [ 135 / 2703 ] simplifiying candidate # 63.610 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 63.610 * * [simplify]: iters left: 6 (23 enodes) 63.622 * * [simplify]: iters left: 5 (79 enodes) 63.640 * * [simplify]: iters left: 4 (104 enodes) 63.657 * * [simplify]: iters left: 3 (142 enodes) 63.689 * * [simplify]: iters left: 2 (161 enodes) 63.712 * * [simplify]: iters left: 1 (174 enodes) 63.738 * * [simplify]: Extracting #0: cost 1 inf + 0 63.738 * * [simplify]: Extracting #1: cost 17 inf + 0 63.738 * * [simplify]: Extracting #2: cost 34 inf + 0 63.738 * * [simplify]: Extracting #3: cost 53 inf + 0 63.738 * * [simplify]: Extracting #4: cost 73 inf + 0 63.738 * * [simplify]: Extracting #5: cost 69 inf + 749 63.739 * * [simplify]: Extracting #6: cost 50 inf + 3436 63.740 * * [simplify]: Extracting #7: cost 29 inf + 10172 63.744 * * [simplify]: Extracting #8: cost 4 inf + 25763 63.749 * * [simplify]: Extracting #9: cost 0 inf + 28638 63.754 * [simplify]: Simplified to (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (fabs (cbrt 2)))) 63.754 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (fabs (cbrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 63.754 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 63.755 * * [simplify]: iters left: 6 (21 enodes) 63.760 * * [simplify]: iters left: 5 (70 enodes) 63.771 * * [simplify]: iters left: 4 (87 enodes) 63.794 * * [simplify]: iters left: 3 (110 enodes) 63.827 * * [simplify]: iters left: 2 (116 enodes) 63.858 * * [simplify]: iters left: 1 (124 enodes) 63.885 * * [simplify]: Extracting #0: cost 1 inf + 0 63.885 * * [simplify]: Extracting #1: cost 8 inf + 0 63.885 * * [simplify]: Extracting #2: cost 17 inf + 0 63.885 * * [simplify]: Extracting #3: cost 35 inf + 0 63.885 * * [simplify]: Extracting #4: cost 54 inf + 0 63.885 * * [simplify]: Extracting #5: cost 50 inf + 810 63.886 * * [simplify]: Extracting #6: cost 32 inf + 3395 63.887 * * [simplify]: Extracting #7: cost 16 inf + 7595 63.889 * * [simplify]: Extracting #8: cost 8 inf + 10902 63.891 * * [simplify]: Extracting #9: cost 0 inf + 15750 63.893 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 63.893 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 63.894 * * * * [progress]: [ 136 / 2703 ] simplifiying candidate # 63.894 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 63.894 * * [simplify]: iters left: 6 (24 enodes) 63.901 * * [simplify]: iters left: 5 (84 enodes) 63.917 * * [simplify]: iters left: 4 (102 enodes) 63.949 * * [simplify]: iters left: 3 (135 enodes) 63.976 * * [simplify]: iters left: 2 (150 enodes) 64.000 * * [simplify]: iters left: 1 (159 enodes) 64.025 * * [simplify]: Extracting #0: cost 1 inf + 0 64.025 * * [simplify]: Extracting #1: cost 8 inf + 0 64.025 * * [simplify]: Extracting #2: cost 14 inf + 1 64.025 * * [simplify]: Extracting #3: cost 32 inf + 1 64.025 * * [simplify]: Extracting #4: cost 51 inf + 1 64.025 * * [simplify]: Extracting #5: cost 45 inf + 972 64.025 * * [simplify]: Extracting #6: cost 35 inf + 3372 64.026 * * [simplify]: Extracting #7: cost 28 inf + 4101 64.027 * * [simplify]: Extracting #8: cost 9 inf + 9855 64.030 * * [simplify]: Extracting #9: cost 1 inf + 15287 64.032 * * [simplify]: Extracting #10: cost 0 inf + 16111 64.035 * [simplify]: Simplified to (/ (cbrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (fabs (cbrt 2))) (cbrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))))) 64.035 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (fabs (cbrt 2))) (cbrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 64.035 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 64.035 * * [simplify]: iters left: 6 (20 enodes) 64.040 * * [simplify]: iters left: 5 (67 enodes) 64.059 * * [simplify]: iters left: 4 (84 enodes) 64.072 * * [simplify]: iters left: 3 (107 enodes) 64.091 * * [simplify]: iters left: 2 (113 enodes) 64.112 * * [simplify]: iters left: 1 (121 enodes) 64.128 * * [simplify]: Extracting #0: cost 1 inf + 0 64.128 * * [simplify]: Extracting #1: cost 8 inf + 0 64.128 * * [simplify]: Extracting #2: cost 17 inf + 0 64.128 * * [simplify]: Extracting #3: cost 36 inf + 0 64.128 * * [simplify]: Extracting #4: cost 56 inf + 0 64.129 * * [simplify]: Extracting #5: cost 42 inf + 1216 64.130 * * [simplify]: Extracting #6: cost 12 inf + 9086 64.132 * * [simplify]: Extracting #7: cost 2 inf + 13919 64.134 * * [simplify]: Extracting #8: cost 0 inf + 15106 64.140 * [simplify]: Simplified to (/ (* (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))) 64.140 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) (/ (* (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))))) 64.140 * * * * [progress]: [ 137 / 2703 ] simplifiying candidate # 64.141 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 64.141 * * [simplify]: iters left: 6 (23 enodes) 64.152 * * [simplify]: iters left: 5 (79 enodes) 64.177 * * [simplify]: iters left: 4 (104 enodes) 64.200 * * [simplify]: iters left: 3 (142 enodes) 64.221 * * [simplify]: iters left: 2 (161 enodes) 64.259 * * [simplify]: iters left: 1 (174 enodes) 64.284 * * [simplify]: Extracting #0: cost 1 inf + 0 64.284 * * [simplify]: Extracting #1: cost 17 inf + 0 64.285 * * [simplify]: Extracting #2: cost 34 inf + 0 64.285 * * [simplify]: Extracting #3: cost 53 inf + 0 64.285 * * [simplify]: Extracting #4: cost 73 inf + 0 64.285 * * [simplify]: Extracting #5: cost 69 inf + 749 64.286 * * [simplify]: Extracting #6: cost 50 inf + 3436 64.287 * * [simplify]: Extracting #7: cost 29 inf + 10172 64.292 * * [simplify]: Extracting #8: cost 4 inf + 25763 64.301 * * [simplify]: Extracting #9: cost 0 inf + 28638 64.310 * [simplify]: Simplified to (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (fabs (cbrt 2)))) 64.310 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (fabs (cbrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 64.311 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 64.311 * * [simplify]: iters left: 6 (21 enodes) 64.318 * * [simplify]: iters left: 5 (70 enodes) 64.329 * * [simplify]: iters left: 4 (87 enodes) 64.343 * * [simplify]: iters left: 3 (110 enodes) 64.371 * * [simplify]: iters left: 2 (116 enodes) 64.402 * * [simplify]: iters left: 1 (124 enodes) 64.434 * * [simplify]: Extracting #0: cost 1 inf + 0 64.434 * * [simplify]: Extracting #1: cost 8 inf + 0 64.434 * * [simplify]: Extracting #2: cost 17 inf + 0 64.434 * * [simplify]: Extracting #3: cost 35 inf + 0 64.434 * * [simplify]: Extracting #4: cost 54 inf + 0 64.435 * * [simplify]: Extracting #5: cost 50 inf + 810 64.436 * * [simplify]: Extracting #6: cost 32 inf + 3395 64.437 * * [simplify]: Extracting #7: cost 16 inf + 7595 64.441 * * [simplify]: Extracting #8: cost 8 inf + 10902 64.443 * * [simplify]: Extracting #9: cost 0 inf + 15750 64.446 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 64.446 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 64.446 * * * * [progress]: [ 138 / 2703 ] simplifiying candidate # 64.446 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 64.446 * * [simplify]: iters left: 6 (23 enodes) 64.452 * * [simplify]: iters left: 5 (79 enodes) 64.466 * * [simplify]: iters left: 4 (99 enodes) 64.484 * * [simplify]: iters left: 3 (132 enodes) 64.505 * * [simplify]: iters left: 2 (148 enodes) 64.526 * * [simplify]: iters left: 1 (163 enodes) 64.560 * * [simplify]: Extracting #0: cost 1 inf + 0 64.560 * * [simplify]: Extracting #1: cost 12 inf + 0 64.560 * * [simplify]: Extracting #2: cost 20 inf + 1 64.561 * * [simplify]: Extracting #3: cost 38 inf + 1 64.561 * * [simplify]: Extracting #4: cost 57 inf + 1 64.561 * * [simplify]: Extracting #5: cost 51 inf + 1012 64.562 * * [simplify]: Extracting #6: cost 38 inf + 4118 64.563 * * [simplify]: Extracting #7: cost 31 inf + 4867 64.567 * * [simplify]: Extracting #8: cost 15 inf + 9874 64.572 * * [simplify]: Extracting #9: cost 3 inf + 16918 64.578 * * [simplify]: Extracting #10: cost 0 inf + 19350 64.584 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (fabs (cbrt 2)))) 64.584 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (fabs (cbrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 64.584 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 64.585 * * [simplify]: iters left: 6 (20 enodes) 64.593 * * [simplify]: iters left: 5 (67 enodes) 64.613 * * [simplify]: iters left: 4 (84 enodes) 64.640 * * [simplify]: iters left: 3 (107 enodes) 64.663 * * [simplify]: iters left: 2 (113 enodes) 64.678 * * [simplify]: iters left: 1 (121 enodes) 64.696 * * [simplify]: Extracting #0: cost 1 inf + 0 64.697 * * [simplify]: Extracting #1: cost 8 inf + 0 64.697 * * [simplify]: Extracting #2: cost 17 inf + 0 64.697 * * [simplify]: Extracting #3: cost 36 inf + 0 64.697 * * [simplify]: Extracting #4: cost 56 inf + 0 64.697 * * [simplify]: Extracting #5: cost 42 inf + 1216 64.698 * * [simplify]: Extracting #6: cost 12 inf + 9086 64.700 * * [simplify]: Extracting #7: cost 2 inf + 13919 64.702 * * [simplify]: Extracting #8: cost 0 inf + 15106 64.704 * [simplify]: Simplified to (/ (* (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))) 64.704 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) (/ (* (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))))) 64.704 * * * * [progress]: [ 139 / 2703 ] simplifiying candidate # 64.705 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 64.705 * * [simplify]: iters left: 6 (22 enodes) 64.710 * * [simplify]: iters left: 5 (77 enodes) 64.729 * * [simplify]: iters left: 4 (110 enodes) 64.765 * * [simplify]: iters left: 3 (168 enodes) 64.819 * * [simplify]: iters left: 2 (224 enodes) 64.859 * * [simplify]: iters left: 1 (260 enodes) 64.900 * * [simplify]: Extracting #0: cost 1 inf + 0 64.900 * * [simplify]: Extracting #1: cost 25 inf + 0 64.901 * * [simplify]: Extracting #2: cost 51 inf + 0 64.901 * * [simplify]: Extracting #3: cost 69 inf + 0 64.901 * * [simplify]: Extracting #4: cost 87 inf + 0 64.902 * * [simplify]: Extracting #5: cost 80 inf + 972 64.903 * * [simplify]: Extracting #6: cost 66 inf + 3012 64.905 * * [simplify]: Extracting #7: cost 50 inf + 8396 64.913 * * [simplify]: Extracting #8: cost 15 inf + 29242 64.921 * * [simplify]: Extracting #9: cost 0 inf + 39255 64.929 * * [simplify]: Extracting #10: cost 0 inf + 39215 64.937 * [simplify]: Simplified to (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) 64.937 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 64.938 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 64.938 * * [simplify]: iters left: 6 (20 enodes) 64.943 * * [simplify]: iters left: 5 (67 enodes) 64.953 * * [simplify]: iters left: 4 (84 enodes) 64.966 * * [simplify]: iters left: 3 (107 enodes) 64.984 * * [simplify]: iters left: 2 (113 enodes) 64.999 * * [simplify]: iters left: 1 (121 enodes) 65.019 * * [simplify]: Extracting #0: cost 1 inf + 0 65.019 * * [simplify]: Extracting #1: cost 8 inf + 0 65.019 * * [simplify]: Extracting #2: cost 17 inf + 0 65.019 * * [simplify]: Extracting #3: cost 35 inf + 0 65.019 * * [simplify]: Extracting #4: cost 53 inf + 0 65.020 * * [simplify]: Extracting #5: cost 45 inf + 1213 65.021 * * [simplify]: Extracting #6: cost 30 inf + 3536 65.023 * * [simplify]: Extracting #7: cost 13 inf + 8743 65.027 * * [simplify]: Extracting #8: cost 1 inf + 14905 65.031 * * [simplify]: Extracting #9: cost 0 inf + 15348 65.035 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 65.036 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))))) 65.036 * * * * [progress]: [ 140 / 2703 ] simplifiying candidate # 65.036 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 65.037 * * [simplify]: iters left: 6 (23 enodes) 65.048 * * [simplify]: iters left: 5 (79 enodes) 65.071 * * [simplify]: iters left: 4 (104 enodes) 65.092 * * [simplify]: iters left: 3 (142 enodes) 65.115 * * [simplify]: iters left: 2 (161 enodes) 65.160 * * [simplify]: iters left: 1 (174 enodes) 65.198 * * [simplify]: Extracting #0: cost 1 inf + 0 65.198 * * [simplify]: Extracting #1: cost 17 inf + 0 65.198 * * [simplify]: Extracting #2: cost 35 inf + 0 65.199 * * [simplify]: Extracting #3: cost 55 inf + 0 65.199 * * [simplify]: Extracting #4: cost 74 inf + 0 65.199 * * [simplify]: Extracting #5: cost 66 inf + 1112 65.200 * * [simplify]: Extracting #6: cost 53 inf + 3052 65.201 * * [simplify]: Extracting #7: cost 37 inf + 7956 65.203 * * [simplify]: Extracting #8: cost 14 inf + 19914 65.209 * * [simplify]: Extracting #9: cost 2 inf + 27535 65.214 * * [simplify]: Extracting #10: cost 0 inf + 28722 65.219 * [simplify]: Simplified to (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 65.219 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 65.219 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 65.219 * * [simplify]: iters left: 6 (21 enodes) 65.226 * * [simplify]: iters left: 5 (70 enodes) 65.247 * * [simplify]: iters left: 4 (87 enodes) 65.262 * * [simplify]: iters left: 3 (110 enodes) 65.277 * * [simplify]: iters left: 2 (116 enodes) 65.299 * * [simplify]: iters left: 1 (124 enodes) 65.333 * * [simplify]: Extracting #0: cost 1 inf + 0 65.333 * * [simplify]: Extracting #1: cost 8 inf + 0 65.333 * * [simplify]: Extracting #2: cost 17 inf + 0 65.333 * * [simplify]: Extracting #3: cost 36 inf + 0 65.333 * * [simplify]: Extracting #4: cost 55 inf + 0 65.334 * * [simplify]: Extracting #5: cost 49 inf + 891 65.335 * * [simplify]: Extracting #6: cost 33 inf + 3274 65.337 * * [simplify]: Extracting #7: cost 17 inf + 7475 65.339 * * [simplify]: Extracting #8: cost 8 inf + 10944 65.341 * * [simplify]: Extracting #9: cost 0 inf + 15912 65.343 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 65.344 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 65.344 * * * * [progress]: [ 141 / 2703 ] simplifiying candidate # 65.344 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 65.344 * * [simplify]: iters left: 6 (21 enodes) 65.349 * * [simplify]: iters left: 5 (72 enodes) 65.361 * * [simplify]: iters left: 4 (97 enodes) 65.377 * * [simplify]: iters left: 3 (135 enodes) 65.414 * * [simplify]: iters left: 2 (154 enodes) 65.459 * * [simplify]: iters left: 1 (167 enodes) 65.487 * * [simplify]: Extracting #0: cost 1 inf + 0 65.487 * * [simplify]: Extracting #1: cost 17 inf + 0 65.487 * * [simplify]: Extracting #2: cost 34 inf + 0 65.487 * * [simplify]: Extracting #3: cost 52 inf + 0 65.487 * * [simplify]: Extracting #4: cost 70 inf + 0 65.488 * * [simplify]: Extracting #5: cost 65 inf + 629 65.488 * * [simplify]: Extracting #6: cost 50 inf + 2891 65.489 * * [simplify]: Extracting #7: cost 46 inf + 3577 65.490 * * [simplify]: Extracting #8: cost 28 inf + 10092 65.493 * * [simplify]: Extracting #9: cost 4 inf + 24300 65.498 * * [simplify]: Extracting #10: cost 0 inf + 26714 65.503 * [simplify]: Simplified to (* (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 65.503 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 65.503 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 65.503 * * [simplify]: iters left: 6 (20 enodes) 65.508 * * [simplify]: iters left: 5 (67 enodes) 65.519 * * [simplify]: iters left: 4 (84 enodes) 65.546 * * [simplify]: iters left: 3 (107 enodes) 65.577 * * [simplify]: iters left: 2 (113 enodes) 65.605 * * [simplify]: iters left: 1 (121 enodes) 65.636 * * [simplify]: Extracting #0: cost 1 inf + 0 65.636 * * [simplify]: Extracting #1: cost 8 inf + 0 65.636 * * [simplify]: Extracting #2: cost 17 inf + 0 65.637 * * [simplify]: Extracting #3: cost 35 inf + 0 65.637 * * [simplify]: Extracting #4: cost 53 inf + 0 65.637 * * [simplify]: Extracting #5: cost 45 inf + 1213 65.638 * * [simplify]: Extracting #6: cost 30 inf + 3536 65.640 * * [simplify]: Extracting #7: cost 13 inf + 8703 65.643 * * [simplify]: Extracting #8: cost 1 inf + 14625 65.645 * * [simplify]: Extracting #9: cost 0 inf + 15028 65.647 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 65.647 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))))) 65.648 * * * * [progress]: [ 142 / 2703 ] simplifiying candidate # 65.648 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 65.648 * * [simplify]: iters left: 6 (22 enodes) 65.655 * * [simplify]: iters left: 5 (77 enodes) 65.669 * * [simplify]: iters left: 4 (95 enodes) 65.684 * * [simplify]: iters left: 3 (128 enodes) 65.716 * * [simplify]: iters left: 2 (143 enodes) 65.752 * * [simplify]: iters left: 1 (152 enodes) 65.778 * * [simplify]: Extracting #0: cost 1 inf + 0 65.778 * * [simplify]: Extracting #1: cost 8 inf + 0 65.778 * * [simplify]: Extracting #2: cost 14 inf + 1 65.778 * * [simplify]: Extracting #3: cost 31 inf + 1 65.778 * * [simplify]: Extracting #4: cost 48 inf + 1 65.779 * * [simplify]: Extracting #5: cost 41 inf + 791 65.779 * * [simplify]: Extracting #6: cost 35 inf + 2707 65.780 * * [simplify]: Extracting #7: cost 28 inf + 3537 65.782 * * [simplify]: Extracting #8: cost 12 inf + 9003 65.785 * * [simplify]: Extracting #9: cost 2 inf + 14000 65.787 * * [simplify]: Extracting #10: cost 0 inf + 15067 65.790 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 65.790 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 65.790 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 65.790 * * [simplify]: iters left: 6 (19 enodes) 65.795 * * [simplify]: iters left: 5 (64 enodes) 65.805 * * [simplify]: iters left: 4 (81 enodes) 65.828 * * [simplify]: iters left: 3 (104 enodes) 65.857 * * [simplify]: iters left: 2 (110 enodes) 65.874 * * [simplify]: iters left: 1 (118 enodes) 65.893 * * [simplify]: Extracting #0: cost 1 inf + 0 65.893 * * [simplify]: Extracting #1: cost 8 inf + 0 65.893 * * [simplify]: Extracting #2: cost 17 inf + 0 65.893 * * [simplify]: Extracting #3: cost 36 inf + 0 65.894 * * [simplify]: Extracting #4: cost 55 inf + 0 65.894 * * [simplify]: Extracting #5: cost 38 inf + 1057 65.895 * * [simplify]: Extracting #6: cost 17 inf + 6465 65.899 * * [simplify]: Extracting #7: cost 0 inf + 14384 65.903 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) 65.904 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 65.904 * * * * [progress]: [ 143 / 2703 ] simplifiying candidate # 65.904 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 65.905 * * [simplify]: iters left: 6 (21 enodes) 65.914 * * [simplify]: iters left: 5 (72 enodes) 65.936 * * [simplify]: iters left: 4 (97 enodes) 65.958 * * [simplify]: iters left: 3 (135 enodes) 65.979 * * [simplify]: iters left: 2 (154 enodes) 66.019 * * [simplify]: iters left: 1 (167 enodes) 66.063 * * [simplify]: Extracting #0: cost 1 inf + 0 66.063 * * [simplify]: Extracting #1: cost 17 inf + 0 66.063 * * [simplify]: Extracting #2: cost 34 inf + 0 66.064 * * [simplify]: Extracting #3: cost 52 inf + 0 66.064 * * [simplify]: Extracting #4: cost 70 inf + 0 66.065 * * [simplify]: Extracting #5: cost 65 inf + 629 66.065 * * [simplify]: Extracting #6: cost 50 inf + 2891 66.066 * * [simplify]: Extracting #7: cost 46 inf + 3577 66.069 * * [simplify]: Extracting #8: cost 28 inf + 10092 66.076 * * [simplify]: Extracting #9: cost 4 inf + 24300 66.085 * * [simplify]: Extracting #10: cost 0 inf + 26714 66.094 * [simplify]: Simplified to (* (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 66.094 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 66.095 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 66.096 * * [simplify]: iters left: 6 (20 enodes) 66.105 * * [simplify]: iters left: 5 (67 enodes) 66.125 * * [simplify]: iters left: 4 (84 enodes) 66.147 * * [simplify]: iters left: 3 (107 enodes) 66.164 * * [simplify]: iters left: 2 (113 enodes) 66.187 * * [simplify]: iters left: 1 (121 enodes) 66.204 * * [simplify]: Extracting #0: cost 1 inf + 0 66.204 * * [simplify]: Extracting #1: cost 8 inf + 0 66.204 * * [simplify]: Extracting #2: cost 17 inf + 0 66.204 * * [simplify]: Extracting #3: cost 35 inf + 0 66.204 * * [simplify]: Extracting #4: cost 53 inf + 0 66.205 * * [simplify]: Extracting #5: cost 45 inf + 1213 66.205 * * [simplify]: Extracting #6: cost 30 inf + 3536 66.206 * * [simplify]: Extracting #7: cost 13 inf + 8703 66.208 * * [simplify]: Extracting #8: cost 1 inf + 14625 66.210 * * [simplify]: Extracting #9: cost 0 inf + 15028 66.213 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 66.213 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))))) 66.213 * * * * [progress]: [ 144 / 2703 ] simplifiying candidate # 66.213 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 66.213 * * [simplify]: iters left: 6 (21 enodes) 66.219 * * [simplify]: iters left: 5 (72 enodes) 66.230 * * [simplify]: iters left: 4 (92 enodes) 66.246 * * [simplify]: iters left: 3 (125 enodes) 66.265 * * [simplify]: iters left: 2 (141 enodes) 66.296 * * [simplify]: iters left: 1 (156 enodes) 66.317 * * [simplify]: Extracting #0: cost 1 inf + 0 66.317 * * [simplify]: Extracting #1: cost 12 inf + 0 66.317 * * [simplify]: Extracting #2: cost 20 inf + 1 66.317 * * [simplify]: Extracting #3: cost 37 inf + 1 66.317 * * [simplify]: Extracting #4: cost 54 inf + 1 66.318 * * [simplify]: Extracting #5: cost 48 inf + 630 66.318 * * [simplify]: Extracting #6: cost 38 inf + 3373 66.319 * * [simplify]: Extracting #7: cost 30 inf + 4224 66.320 * * [simplify]: Extracting #8: cost 14 inf + 10153 66.324 * * [simplify]: Extracting #9: cost 2 inf + 16498 66.330 * * [simplify]: Extracting #10: cost 0 inf + 17946 66.339 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2))))) 66.339 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 66.340 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 66.340 * * [simplify]: iters left: 6 (19 enodes) 66.349 * * [simplify]: iters left: 5 (64 enodes) 66.369 * * [simplify]: iters left: 4 (81 enodes) 66.384 * * [simplify]: iters left: 3 (104 enodes) 66.399 * * [simplify]: iters left: 2 (110 enodes) 66.420 * * [simplify]: iters left: 1 (118 enodes) 66.450 * * [simplify]: Extracting #0: cost 1 inf + 0 66.450 * * [simplify]: Extracting #1: cost 8 inf + 0 66.450 * * [simplify]: Extracting #2: cost 17 inf + 0 66.450 * * [simplify]: Extracting #3: cost 36 inf + 0 66.450 * * [simplify]: Extracting #4: cost 55 inf + 0 66.451 * * [simplify]: Extracting #5: cost 38 inf + 1057 66.452 * * [simplify]: Extracting #6: cost 17 inf + 6465 66.458 * * [simplify]: Extracting #7: cost 0 inf + 14384 66.462 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) 66.462 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 66.462 * * * * [progress]: [ 145 / 2703 ] simplifiying candidate # 66.463 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 66.463 * * [simplify]: iters left: 6 (23 enodes) 66.475 * * [simplify]: iters left: 5 (82 enodes) 66.491 * * [simplify]: iters left: 4 (117 enodes) 66.511 * * [simplify]: iters left: 3 (178 enodes) 66.541 * * [simplify]: iters left: 2 (242 enodes) 66.630 * * [simplify]: iters left: 1 (328 enodes) 66.713 * * [simplify]: Extracting #0: cost 1 inf + 0 66.713 * * [simplify]: Extracting #1: cost 20 inf + 0 66.713 * * [simplify]: Extracting #2: cost 35 inf + 1 66.714 * * [simplify]: Extracting #3: cost 51 inf + 1 66.714 * * [simplify]: Extracting #4: cost 68 inf + 1 66.714 * * [simplify]: Extracting #5: cost 72 inf + 63 66.714 * * [simplify]: Extracting #6: cost 59 inf + 1319 66.716 * * [simplify]: Extracting #7: cost 34 inf + 9086 66.719 * * [simplify]: Extracting #8: cost 11 inf + 20231 66.726 * * [simplify]: Extracting #9: cost 0 inf + 27176 66.743 * [simplify]: Simplified to (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 66.743 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 66.744 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 66.744 * * [simplify]: iters left: 6 (18 enodes) 66.752 * * [simplify]: iters left: 5 (61 enodes) 66.761 * * [simplify]: iters left: 4 (78 enodes) 66.773 * * [simplify]: iters left: 3 (101 enodes) 66.788 * * [simplify]: iters left: 2 (107 enodes) 66.813 * * [simplify]: iters left: 1 (115 enodes) 66.828 * * [simplify]: Extracting #0: cost 1 inf + 0 66.828 * * [simplify]: Extracting #1: cost 8 inf + 0 66.828 * * [simplify]: Extracting #2: cost 17 inf + 0 66.829 * * [simplify]: Extracting #3: cost 34 inf + 0 66.829 * * [simplify]: Extracting #4: cost 44 inf + 445 66.829 * * [simplify]: Extracting #5: cost 43 inf + 971 66.829 * * [simplify]: Extracting #6: cost 34 inf + 2084 66.830 * * [simplify]: Extracting #7: cost 16 inf + 6667 66.833 * * [simplify]: Extracting #8: cost 2 inf + 13397 66.835 * * [simplify]: Extracting #9: cost 0 inf + 14304 66.838 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 66.838 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 66.838 * * * * [progress]: [ 146 / 2703 ] simplifiying candidate # 66.838 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 66.838 * * [simplify]: iters left: 6 (24 enodes) 66.844 * * [simplify]: iters left: 5 (84 enodes) 66.868 * * [simplify]: iters left: 4 (111 enodes) 66.900 * * [simplify]: iters left: 3 (149 enodes) 66.944 * * [simplify]: iters left: 2 (186 enodes) 67.005 * * [simplify]: iters left: 1 (225 enodes) 67.061 * * [simplify]: Extracting #0: cost 1 inf + 0 67.061 * * [simplify]: Extracting #1: cost 13 inf + 0 67.061 * * [simplify]: Extracting #2: cost 23 inf + 1 67.062 * * [simplify]: Extracting #3: cost 41 inf + 1 67.062 * * [simplify]: Extracting #4: cost 59 inf + 1 67.062 * * [simplify]: Extracting #5: cost 63 inf + 63 67.062 * * [simplify]: Extracting #6: cost 47 inf + 1602 67.064 * * [simplify]: Extracting #7: cost 22 inf + 10015 67.067 * * [simplify]: Extracting #8: cost 5 inf + 17172 67.070 * * [simplify]: Extracting #9: cost 0 inf + 20393 67.074 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 67.075 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 67.075 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 67.075 * * [simplify]: iters left: 6 (19 enodes) 67.080 * * [simplify]: iters left: 5 (64 enodes) 67.093 * * [simplify]: iters left: 4 (81 enodes) 67.112 * * [simplify]: iters left: 3 (104 enodes) 67.127 * * [simplify]: iters left: 2 (110 enodes) 67.144 * * [simplify]: iters left: 1 (118 enodes) 67.175 * * [simplify]: Extracting #0: cost 1 inf + 0 67.176 * * [simplify]: Extracting #1: cost 8 inf + 0 67.176 * * [simplify]: Extracting #2: cost 17 inf + 0 67.176 * * [simplify]: Extracting #3: cost 35 inf + 0 67.176 * * [simplify]: Extracting #4: cost 45 inf + 486 67.176 * * [simplify]: Extracting #5: cost 45 inf + 770 67.177 * * [simplify]: Extracting #6: cost 33 inf + 2649 67.179 * * [simplify]: Extracting #7: cost 16 inf + 7193 67.183 * * [simplify]: Extracting #8: cost 2 inf + 13380 67.187 * * [simplify]: Extracting #9: cost 0 inf + 14868 67.191 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))) 67.191 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))))) 67.192 * * * * [progress]: [ 147 / 2703 ] simplifiying candidate # 67.192 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 67.192 * * [simplify]: iters left: 6 (22 enodes) 67.204 * * [simplify]: iters left: 5 (77 enodes) 67.233 * * [simplify]: iters left: 4 (104 enodes) 67.260 * * [simplify]: iters left: 3 (142 enodes) 67.284 * * [simplify]: iters left: 2 (179 enodes) 67.319 * * [simplify]: iters left: 1 (219 enodes) 67.355 * * [simplify]: Extracting #0: cost 1 inf + 0 67.355 * * [simplify]: Extracting #1: cost 11 inf + 0 67.355 * * [simplify]: Extracting #2: cost 20 inf + 1 67.355 * * [simplify]: Extracting #3: cost 36 inf + 1 67.355 * * [simplify]: Extracting #4: cost 53 inf + 1 67.356 * * [simplify]: Extracting #5: cost 57 inf + 63 67.356 * * [simplify]: Extracting #6: cost 42 inf + 1601 67.357 * * [simplify]: Extracting #7: cost 24 inf + 6305 67.359 * * [simplify]: Extracting #8: cost 6 inf + 13668 67.362 * * [simplify]: Extracting #9: cost 1 inf + 16831 67.366 * * [simplify]: Extracting #10: cost 0 inf + 17495 67.369 * [simplify]: Simplified to (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 67.369 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 67.370 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 67.370 * * [simplify]: iters left: 6 (18 enodes) 67.374 * * [simplify]: iters left: 5 (61 enodes) 67.384 * * [simplify]: iters left: 4 (78 enodes) 67.396 * * [simplify]: iters left: 3 (101 enodes) 67.424 * * [simplify]: iters left: 2 (107 enodes) 67.453 * * [simplify]: iters left: 1 (115 enodes) 67.482 * * [simplify]: Extracting #0: cost 1 inf + 0 67.483 * * [simplify]: Extracting #1: cost 8 inf + 0 67.483 * * [simplify]: Extracting #2: cost 17 inf + 0 67.483 * * [simplify]: Extracting #3: cost 34 inf + 0 67.483 * * [simplify]: Extracting #4: cost 44 inf + 445 67.483 * * [simplify]: Extracting #5: cost 43 inf + 971 67.484 * * [simplify]: Extracting #6: cost 34 inf + 2084 67.486 * * [simplify]: Extracting #7: cost 16 inf + 6587 67.490 * * [simplify]: Extracting #8: cost 2 inf + 13077 67.494 * * [simplify]: Extracting #9: cost 0 inf + 13984 67.499 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 67.499 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 67.499 * * * * [progress]: [ 148 / 2703 ] simplifiying candidate # 67.499 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt 1))) 67.500 * * [simplify]: iters left: 6 (21 enodes) 67.510 * * [simplify]: iters left: 5 (74 enodes) 67.525 * * [simplify]: iters left: 4 (92 enodes) 67.542 * * [simplify]: iters left: 3 (116 enodes) 67.560 * * [simplify]: iters left: 2 (141 enodes) 67.587 * * [simplify]: iters left: 1 (156 enodes) 67.628 * * [simplify]: Extracting #0: cost 1 inf + 0 67.628 * * [simplify]: Extracting #1: cost 6 inf + 0 67.628 * * [simplify]: Extracting #2: cost 9 inf + 1 67.628 * * [simplify]: Extracting #3: cost 24 inf + 1 67.628 * * [simplify]: Extracting #4: cost 40 inf + 1 67.629 * * [simplify]: Extracting #5: cost 43 inf + 63 67.629 * * [simplify]: Extracting #6: cost 36 inf + 1679 67.630 * * [simplify]: Extracting #7: cost 26 inf + 3053 67.633 * * [simplify]: Extracting #8: cost 8 inf + 9128 67.638 * * [simplify]: Extracting #9: cost 0 inf + 12699 67.643 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 67.643 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 67.643 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 67.644 * * [simplify]: iters left: 6 (17 enodes) 67.652 * * [simplify]: iters left: 5 (58 enodes) 67.672 * * [simplify]: iters left: 4 (74 enodes) 67.694 * * [simplify]: iters left: 3 (95 enodes) 67.707 * * [simplify]: iters left: 2 (101 enodes) 67.721 * * [simplify]: iters left: 1 (109 enodes) 67.739 * * [simplify]: Extracting #0: cost 1 inf + 0 67.739 * * [simplify]: Extracting #1: cost 8 inf + 0 67.739 * * [simplify]: Extracting #2: cost 17 inf + 0 67.739 * * [simplify]: Extracting #3: cost 34 inf + 0 67.740 * * [simplify]: Extracting #4: cost 43 inf + 486 67.740 * * [simplify]: Extracting #5: cost 35 inf + 834 67.741 * * [simplify]: Extracting #6: cost 11 inf + 8279 67.743 * * [simplify]: Extracting #7: cost 0 inf + 12694 67.745 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 67.745 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt 1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 67.745 * * * * [progress]: [ 149 / 2703 ] simplifiying candidate # 67.745 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 67.745 * * [simplify]: iters left: 6 (22 enodes) 67.753 * * [simplify]: iters left: 5 (77 enodes) 67.782 * * [simplify]: iters left: 4 (104 enodes) 67.814 * * [simplify]: iters left: 3 (142 enodes) 67.851 * * [simplify]: iters left: 2 (179 enodes) 67.882 * * [simplify]: iters left: 1 (219 enodes) 67.914 * * [simplify]: Extracting #0: cost 1 inf + 0 67.915 * * [simplify]: Extracting #1: cost 11 inf + 0 67.915 * * [simplify]: Extracting #2: cost 20 inf + 1 67.915 * * [simplify]: Extracting #3: cost 36 inf + 1 67.915 * * [simplify]: Extracting #4: cost 53 inf + 1 67.915 * * [simplify]: Extracting #5: cost 57 inf + 63 67.915 * * [simplify]: Extracting #6: cost 42 inf + 1601 67.916 * * [simplify]: Extracting #7: cost 24 inf + 6305 67.918 * * [simplify]: Extracting #8: cost 6 inf + 13668 67.922 * * [simplify]: Extracting #9: cost 1 inf + 16831 67.925 * * [simplify]: Extracting #10: cost 0 inf + 17495 67.929 * [simplify]: Simplified to (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 67.929 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 67.929 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 67.929 * * [simplify]: iters left: 6 (18 enodes) 67.937 * * [simplify]: iters left: 5 (61 enodes) 67.957 * * [simplify]: iters left: 4 (78 enodes) 67.980 * * [simplify]: iters left: 3 (101 enodes) 68.014 * * [simplify]: iters left: 2 (107 enodes) 68.042 * * [simplify]: iters left: 1 (115 enodes) 68.071 * * [simplify]: Extracting #0: cost 1 inf + 0 68.071 * * [simplify]: Extracting #1: cost 8 inf + 0 68.072 * * [simplify]: Extracting #2: cost 17 inf + 0 68.072 * * [simplify]: Extracting #3: cost 34 inf + 0 68.072 * * [simplify]: Extracting #4: cost 44 inf + 445 68.072 * * [simplify]: Extracting #5: cost 43 inf + 971 68.073 * * [simplify]: Extracting #6: cost 34 inf + 2084 68.075 * * [simplify]: Extracting #7: cost 16 inf + 6587 68.079 * * [simplify]: Extracting #8: cost 2 inf + 13077 68.083 * * [simplify]: Extracting #9: cost 0 inf + 13984 68.087 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 68.087 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 68.087 * * * * [progress]: [ 150 / 2703 ] simplifiying candidate # 68.088 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) 1)) 68.088 * * [simplify]: iters left: 6 (21 enodes) 68.099 * * [simplify]: iters left: 5 (72 enodes) 68.123 * * [simplify]: iters left: 4 (92 enodes) 68.154 * * [simplify]: iters left: 3 (118 enodes) 68.191 * * [simplify]: iters left: 2 (147 enodes) 68.225 * * [simplify]: iters left: 1 (165 enodes) 68.245 * * [simplify]: Extracting #0: cost 1 inf + 0 68.245 * * [simplify]: Extracting #1: cost 6 inf + 0 68.245 * * [simplify]: Extracting #2: cost 9 inf + 1 68.245 * * [simplify]: Extracting #3: cost 24 inf + 1 68.246 * * [simplify]: Extracting #4: cost 40 inf + 1 68.246 * * [simplify]: Extracting #5: cost 43 inf + 63 68.246 * * [simplify]: Extracting #6: cost 39 inf + 973 68.247 * * [simplify]: Extracting #7: cost 26 inf + 2832 68.249 * * [simplify]: Extracting #8: cost 9 inf + 8303 68.253 * * [simplify]: Extracting #9: cost 1 inf + 12074 68.258 * * [simplify]: Extracting #10: cost 0 inf + 12699 68.263 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 68.263 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 68.264 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 68.264 * * [simplify]: iters left: 6 (17 enodes) 68.272 * * [simplify]: iters left: 5 (58 enodes) 68.288 * * [simplify]: iters left: 4 (74 enodes) 68.299 * * [simplify]: iters left: 3 (95 enodes) 68.313 * * [simplify]: iters left: 2 (101 enodes) 68.338 * * [simplify]: iters left: 1 (109 enodes) 68.360 * * [simplify]: Extracting #0: cost 1 inf + 0 68.360 * * [simplify]: Extracting #1: cost 8 inf + 0 68.360 * * [simplify]: Extracting #2: cost 17 inf + 0 68.360 * * [simplify]: Extracting #3: cost 34 inf + 0 68.361 * * [simplify]: Extracting #4: cost 43 inf + 486 68.361 * * [simplify]: Extracting #5: cost 35 inf + 834 68.362 * * [simplify]: Extracting #6: cost 11 inf + 8279 68.364 * * [simplify]: Extracting #7: cost 0 inf + 12694 68.366 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 68.367 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) 1)) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 68.367 * * * * [progress]: [ 151 / 2703 ] simplifiying candidate # 68.367 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 68.367 * * [simplify]: iters left: 6 (22 enodes) 68.373 * * [simplify]: iters left: 5 (77 enodes) 68.391 * * [simplify]: iters left: 4 (110 enodes) 68.426 * * [simplify]: iters left: 3 (168 enodes) 68.477 * * [simplify]: iters left: 2 (224 enodes) 68.547 * * [simplify]: iters left: 1 (260 enodes) 68.594 * * [simplify]: Extracting #0: cost 1 inf + 0 68.594 * * [simplify]: Extracting #1: cost 25 inf + 0 68.594 * * [simplify]: Extracting #2: cost 51 inf + 0 68.594 * * [simplify]: Extracting #3: cost 69 inf + 0 68.595 * * [simplify]: Extracting #4: cost 87 inf + 0 68.596 * * [simplify]: Extracting #5: cost 80 inf + 972 68.597 * * [simplify]: Extracting #6: cost 66 inf + 3012 68.599 * * [simplify]: Extracting #7: cost 50 inf + 8396 68.607 * * [simplify]: Extracting #8: cost 15 inf + 29242 68.621 * * [simplify]: Extracting #9: cost 0 inf + 39255 68.638 * * [simplify]: Extracting #10: cost 0 inf + 39215 68.653 * [simplify]: Simplified to (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) 68.653 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 68.654 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 68.654 * * [simplify]: iters left: 6 (20 enodes) 68.664 * * [simplify]: iters left: 5 (67 enodes) 68.684 * * [simplify]: iters left: 4 (84 enodes) 68.710 * * [simplify]: iters left: 3 (107 enodes) 68.739 * * [simplify]: iters left: 2 (113 enodes) 68.755 * * [simplify]: iters left: 1 (121 enodes) 68.775 * * [simplify]: Extracting #0: cost 1 inf + 0 68.775 * * [simplify]: Extracting #1: cost 8 inf + 0 68.775 * * [simplify]: Extracting #2: cost 17 inf + 0 68.775 * * [simplify]: Extracting #3: cost 35 inf + 0 68.776 * * [simplify]: Extracting #4: cost 53 inf + 0 68.776 * * [simplify]: Extracting #5: cost 45 inf + 1213 68.777 * * [simplify]: Extracting #6: cost 30 inf + 3536 68.779 * * [simplify]: Extracting #7: cost 13 inf + 8743 68.782 * * [simplify]: Extracting #8: cost 1 inf + 14905 68.786 * * [simplify]: Extracting #9: cost 0 inf + 15348 68.790 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 68.790 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))))) 68.791 * * * * [progress]: [ 152 / 2703 ] simplifiying candidate # 68.791 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 68.792 * * [simplify]: iters left: 6 (23 enodes) 68.803 * * [simplify]: iters left: 5 (79 enodes) 68.827 * * [simplify]: iters left: 4 (104 enodes) 68.849 * * [simplify]: iters left: 3 (142 enodes) 68.872 * * [simplify]: iters left: 2 (161 enodes) 68.918 * * [simplify]: iters left: 1 (174 enodes) 68.961 * * [simplify]: Extracting #0: cost 1 inf + 0 68.961 * * [simplify]: Extracting #1: cost 17 inf + 0 68.961 * * [simplify]: Extracting #2: cost 35 inf + 0 68.962 * * [simplify]: Extracting #3: cost 55 inf + 0 68.962 * * [simplify]: Extracting #4: cost 74 inf + 0 68.962 * * [simplify]: Extracting #5: cost 66 inf + 1112 68.963 * * [simplify]: Extracting #6: cost 53 inf + 3052 68.964 * * [simplify]: Extracting #7: cost 37 inf + 7956 68.967 * * [simplify]: Extracting #8: cost 14 inf + 19914 68.972 * * [simplify]: Extracting #9: cost 2 inf + 27535 68.977 * * [simplify]: Extracting #10: cost 0 inf + 28722 68.981 * [simplify]: Simplified to (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 68.981 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 68.982 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 68.982 * * [simplify]: iters left: 6 (21 enodes) 68.988 * * [simplify]: iters left: 5 (70 enodes) 69.011 * * [simplify]: iters left: 4 (87 enodes) 69.028 * * [simplify]: iters left: 3 (110 enodes) 69.054 * * [simplify]: iters left: 2 (116 enodes) 69.083 * * [simplify]: iters left: 1 (124 enodes) 69.113 * * [simplify]: Extracting #0: cost 1 inf + 0 69.113 * * [simplify]: Extracting #1: cost 8 inf + 0 69.114 * * [simplify]: Extracting #2: cost 17 inf + 0 69.114 * * [simplify]: Extracting #3: cost 36 inf + 0 69.114 * * [simplify]: Extracting #4: cost 55 inf + 0 69.114 * * [simplify]: Extracting #5: cost 49 inf + 891 69.114 * * [simplify]: Extracting #6: cost 33 inf + 3274 69.115 * * [simplify]: Extracting #7: cost 17 inf + 7475 69.117 * * [simplify]: Extracting #8: cost 8 inf + 10944 69.119 * * [simplify]: Extracting #9: cost 0 inf + 15912 69.122 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 69.122 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 69.122 * * * * [progress]: [ 153 / 2703 ] simplifiying candidate # 69.122 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 69.123 * * [simplify]: iters left: 6 (21 enodes) 69.128 * * [simplify]: iters left: 5 (72 enodes) 69.142 * * [simplify]: iters left: 4 (97 enodes) 69.160 * * [simplify]: iters left: 3 (135 enodes) 69.180 * * [simplify]: iters left: 2 (154 enodes) 69.209 * * [simplify]: iters left: 1 (167 enodes) 69.233 * * [simplify]: Extracting #0: cost 1 inf + 0 69.233 * * [simplify]: Extracting #1: cost 17 inf + 0 69.233 * * [simplify]: Extracting #2: cost 34 inf + 0 69.233 * * [simplify]: Extracting #3: cost 52 inf + 0 69.234 * * [simplify]: Extracting #4: cost 70 inf + 0 69.234 * * [simplify]: Extracting #5: cost 65 inf + 629 69.235 * * [simplify]: Extracting #6: cost 50 inf + 2891 69.236 * * [simplify]: Extracting #7: cost 46 inf + 3577 69.238 * * [simplify]: Extracting #8: cost 28 inf + 10092 69.245 * * [simplify]: Extracting #9: cost 4 inf + 24300 69.254 * * [simplify]: Extracting #10: cost 0 inf + 26714 69.259 * [simplify]: Simplified to (* (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 69.259 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 69.259 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 69.259 * * [simplify]: iters left: 6 (20 enodes) 69.264 * * [simplify]: iters left: 5 (67 enodes) 69.275 * * [simplify]: iters left: 4 (84 enodes) 69.288 * * [simplify]: iters left: 3 (107 enodes) 69.304 * * [simplify]: iters left: 2 (113 enodes) 69.321 * * [simplify]: iters left: 1 (121 enodes) 69.346 * * [simplify]: Extracting #0: cost 1 inf + 0 69.346 * * [simplify]: Extracting #1: cost 8 inf + 0 69.346 * * [simplify]: Extracting #2: cost 17 inf + 0 69.347 * * [simplify]: Extracting #3: cost 35 inf + 0 69.347 * * [simplify]: Extracting #4: cost 53 inf + 0 69.347 * * [simplify]: Extracting #5: cost 45 inf + 1213 69.348 * * [simplify]: Extracting #6: cost 30 inf + 3536 69.350 * * [simplify]: Extracting #7: cost 13 inf + 8703 69.354 * * [simplify]: Extracting #8: cost 1 inf + 14625 69.358 * * [simplify]: Extracting #9: cost 0 inf + 15028 69.361 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 69.361 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))))) 69.361 * * * * [progress]: [ 154 / 2703 ] simplifiying candidate # 69.361 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 69.362 * * [simplify]: iters left: 6 (22 enodes) 69.368 * * [simplify]: iters left: 5 (77 enodes) 69.380 * * [simplify]: iters left: 4 (95 enodes) 69.395 * * [simplify]: iters left: 3 (128 enodes) 69.417 * * [simplify]: iters left: 2 (143 enodes) 69.436 * * [simplify]: iters left: 1 (152 enodes) 69.457 * * [simplify]: Extracting #0: cost 1 inf + 0 69.457 * * [simplify]: Extracting #1: cost 8 inf + 0 69.458 * * [simplify]: Extracting #2: cost 14 inf + 1 69.458 * * [simplify]: Extracting #3: cost 31 inf + 1 69.458 * * [simplify]: Extracting #4: cost 48 inf + 1 69.458 * * [simplify]: Extracting #5: cost 41 inf + 791 69.459 * * [simplify]: Extracting #6: cost 35 inf + 2707 69.460 * * [simplify]: Extracting #7: cost 28 inf + 3537 69.462 * * [simplify]: Extracting #8: cost 12 inf + 9003 69.466 * * [simplify]: Extracting #9: cost 2 inf + 14000 69.470 * * [simplify]: Extracting #10: cost 0 inf + 15067 69.474 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 69.475 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 69.475 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 69.475 * * [simplify]: iters left: 6 (19 enodes) 69.483 * * [simplify]: iters left: 5 (64 enodes) 69.501 * * [simplify]: iters left: 4 (81 enodes) 69.524 * * [simplify]: iters left: 3 (104 enodes) 69.539 * * [simplify]: iters left: 2 (110 enodes) 69.559 * * [simplify]: iters left: 1 (118 enodes) 69.590 * * [simplify]: Extracting #0: cost 1 inf + 0 69.590 * * [simplify]: Extracting #1: cost 8 inf + 0 69.590 * * [simplify]: Extracting #2: cost 17 inf + 0 69.590 * * [simplify]: Extracting #3: cost 36 inf + 0 69.590 * * [simplify]: Extracting #4: cost 55 inf + 0 69.591 * * [simplify]: Extracting #5: cost 38 inf + 1057 69.592 * * [simplify]: Extracting #6: cost 17 inf + 6465 69.596 * * [simplify]: Extracting #7: cost 0 inf + 14384 69.600 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) 69.600 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 69.601 * * * * [progress]: [ 155 / 2703 ] simplifiying candidate # 69.601 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 69.601 * * [simplify]: iters left: 6 (21 enodes) 69.611 * * [simplify]: iters left: 5 (72 enodes) 69.633 * * [simplify]: iters left: 4 (97 enodes) 69.665 * * [simplify]: iters left: 3 (135 enodes) 69.698 * * [simplify]: iters left: 2 (154 enodes) 69.734 * * [simplify]: iters left: 1 (167 enodes) 69.775 * * [simplify]: Extracting #0: cost 1 inf + 0 69.775 * * [simplify]: Extracting #1: cost 17 inf + 0 69.775 * * [simplify]: Extracting #2: cost 34 inf + 0 69.776 * * [simplify]: Extracting #3: cost 52 inf + 0 69.776 * * [simplify]: Extracting #4: cost 70 inf + 0 69.776 * * [simplify]: Extracting #5: cost 65 inf + 629 69.776 * * [simplify]: Extracting #6: cost 50 inf + 2891 69.777 * * [simplify]: Extracting #7: cost 46 inf + 3577 69.779 * * [simplify]: Extracting #8: cost 28 inf + 10092 69.782 * * [simplify]: Extracting #9: cost 4 inf + 24300 69.787 * * [simplify]: Extracting #10: cost 0 inf + 26714 69.791 * [simplify]: Simplified to (* (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 69.791 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 69.792 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 69.792 * * [simplify]: iters left: 6 (20 enodes) 69.797 * * [simplify]: iters left: 5 (67 enodes) 69.807 * * [simplify]: iters left: 4 (84 enodes) 69.821 * * [simplify]: iters left: 3 (107 enodes) 69.836 * * [simplify]: iters left: 2 (113 enodes) 69.854 * * [simplify]: iters left: 1 (121 enodes) 69.888 * * [simplify]: Extracting #0: cost 1 inf + 0 69.888 * * [simplify]: Extracting #1: cost 8 inf + 0 69.889 * * [simplify]: Extracting #2: cost 17 inf + 0 69.889 * * [simplify]: Extracting #3: cost 35 inf + 0 69.889 * * [simplify]: Extracting #4: cost 53 inf + 0 69.889 * * [simplify]: Extracting #5: cost 45 inf + 1213 69.890 * * [simplify]: Extracting #6: cost 30 inf + 3536 69.892 * * [simplify]: Extracting #7: cost 13 inf + 8703 69.896 * * [simplify]: Extracting #8: cost 1 inf + 14625 69.900 * * [simplify]: Extracting #9: cost 0 inf + 15028 69.905 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 69.905 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))))) 69.905 * * * * [progress]: [ 156 / 2703 ] simplifiying candidate # 69.905 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 69.906 * * [simplify]: iters left: 6 (21 enodes) 69.916 * * [simplify]: iters left: 5 (72 enodes) 69.939 * * [simplify]: iters left: 4 (92 enodes) 69.959 * * [simplify]: iters left: 3 (125 enodes) 69.979 * * [simplify]: iters left: 2 (141 enodes) 70.000 * * [simplify]: iters left: 1 (156 enodes) 70.024 * * [simplify]: Extracting #0: cost 1 inf + 0 70.024 * * [simplify]: Extracting #1: cost 12 inf + 0 70.024 * * [simplify]: Extracting #2: cost 20 inf + 1 70.024 * * [simplify]: Extracting #3: cost 37 inf + 1 70.024 * * [simplify]: Extracting #4: cost 54 inf + 1 70.025 * * [simplify]: Extracting #5: cost 48 inf + 630 70.026 * * [simplify]: Extracting #6: cost 38 inf + 3373 70.027 * * [simplify]: Extracting #7: cost 30 inf + 4224 70.029 * * [simplify]: Extracting #8: cost 14 inf + 10153 70.035 * * [simplify]: Extracting #9: cost 2 inf + 16498 70.042 * * [simplify]: Extracting #10: cost 0 inf + 17946 70.047 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2))))) 70.047 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 70.047 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 70.048 * * [simplify]: iters left: 6 (19 enodes) 70.052 * * [simplify]: iters left: 5 (64 enodes) 70.063 * * [simplify]: iters left: 4 (81 enodes) 70.077 * * [simplify]: iters left: 3 (104 enodes) 70.093 * * [simplify]: iters left: 2 (110 enodes) 70.108 * * [simplify]: iters left: 1 (118 enodes) 70.123 * * [simplify]: Extracting #0: cost 1 inf + 0 70.123 * * [simplify]: Extracting #1: cost 8 inf + 0 70.123 * * [simplify]: Extracting #2: cost 17 inf + 0 70.123 * * [simplify]: Extracting #3: cost 36 inf + 0 70.123 * * [simplify]: Extracting #4: cost 55 inf + 0 70.124 * * [simplify]: Extracting #5: cost 38 inf + 1057 70.124 * * [simplify]: Extracting #6: cost 17 inf + 6465 70.126 * * [simplify]: Extracting #7: cost 0 inf + 14384 70.128 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) 70.129 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 70.129 * * * * [progress]: [ 157 / 2703 ] simplifiying candidate # 70.129 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 70.129 * * [simplify]: iters left: 6 (22 enodes) 70.135 * * [simplify]: iters left: 5 (79 enodes) 70.147 * * [simplify]: iters left: 4 (115 enodes) 70.182 * * [simplify]: iters left: 3 (197 enodes) 70.258 * * [simplify]: iters left: 2 (272 enodes) 70.358 * * [simplify]: iters left: 1 (379 enodes) 70.476 * * [simplify]: Extracting #0: cost 1 inf + 0 70.476 * * [simplify]: Extracting #1: cost 17 inf + 0 70.476 * * [simplify]: Extracting #2: cost 32 inf + 1 70.477 * * [simplify]: Extracting #3: cost 48 inf + 1 70.477 * * [simplify]: Extracting #4: cost 65 inf + 1 70.478 * * [simplify]: Extracting #5: cost 69 inf + 63 70.479 * * [simplify]: Extracting #6: cost 58 inf + 1016 70.481 * * [simplify]: Extracting #7: cost 35 inf + 7071 70.484 * * [simplify]: Extracting #8: cost 14 inf + 16988 70.489 * * [simplify]: Extracting #9: cost 1 inf + 24578 70.495 * * [simplify]: Extracting #10: cost 0 inf + 24901 70.501 * [simplify]: Simplified to (* (* (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 70.502 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 70.502 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 70.502 * * [simplify]: iters left: 6 (18 enodes) 70.507 * * [simplify]: iters left: 5 (61 enodes) 70.517 * * [simplify]: iters left: 4 (78 enodes) 70.542 * * [simplify]: iters left: 3 (101 enodes) 70.573 * * [simplify]: iters left: 2 (107 enodes) 70.601 * * [simplify]: iters left: 1 (115 enodes) 70.631 * * [simplify]: Extracting #0: cost 1 inf + 0 70.631 * * [simplify]: Extracting #1: cost 8 inf + 0 70.631 * * [simplify]: Extracting #2: cost 17 inf + 0 70.631 * * [simplify]: Extracting #3: cost 34 inf + 0 70.632 * * [simplify]: Extracting #4: cost 44 inf + 445 70.632 * * [simplify]: Extracting #5: cost 43 inf + 971 70.633 * * [simplify]: Extracting #6: cost 34 inf + 2084 70.634 * * [simplify]: Extracting #7: cost 16 inf + 6667 70.639 * * [simplify]: Extracting #8: cost 2 inf + 13397 70.643 * * [simplify]: Extracting #9: cost 0 inf + 14304 70.647 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 70.647 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 70.648 * * * * [progress]: [ 158 / 2703 ] simplifiying candidate # 70.648 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 70.648 * * [simplify]: iters left: 6 (23 enodes) 70.660 * * [simplify]: iters left: 5 (81 enodes) 70.685 * * [simplify]: iters left: 4 (106 enodes) 70.717 * * [simplify]: iters left: 3 (154 enodes) 70.741 * * [simplify]: iters left: 2 (175 enodes) 70.766 * * [simplify]: iters left: 1 (212 enodes) 70.820 * * [simplify]: Extracting #0: cost 1 inf + 0 70.820 * * [simplify]: Extracting #1: cost 11 inf + 0 70.820 * * [simplify]: Extracting #2: cost 21 inf + 1 70.820 * * [simplify]: Extracting #3: cost 39 inf + 1 70.821 * * [simplify]: Extracting #4: cost 57 inf + 1 70.821 * * [simplify]: Extracting #5: cost 61 inf + 63 70.822 * * [simplify]: Extracting #6: cost 44 inf + 1965 70.824 * * [simplify]: Extracting #7: cost 17 inf + 10198 70.830 * * [simplify]: Extracting #8: cost 3 inf + 16830 70.837 * * [simplify]: Extracting #9: cost 0 inf + 19023 70.845 * [simplify]: Simplified to (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 70.845 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 70.846 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 70.846 * * [simplify]: iters left: 6 (19 enodes) 70.855 * * [simplify]: iters left: 5 (64 enodes) 70.875 * * [simplify]: iters left: 4 (81 enodes) 70.899 * * [simplify]: iters left: 3 (104 enodes) 70.928 * * [simplify]: iters left: 2 (110 enodes) 70.959 * * [simplify]: iters left: 1 (118 enodes) 70.976 * * [simplify]: Extracting #0: cost 1 inf + 0 70.976 * * [simplify]: Extracting #1: cost 8 inf + 0 70.976 * * [simplify]: Extracting #2: cost 17 inf + 0 70.976 * * [simplify]: Extracting #3: cost 35 inf + 0 70.976 * * [simplify]: Extracting #4: cost 45 inf + 486 70.976 * * [simplify]: Extracting #5: cost 45 inf + 770 70.977 * * [simplify]: Extracting #6: cost 33 inf + 2649 70.978 * * [simplify]: Extracting #7: cost 16 inf + 7193 70.980 * * [simplify]: Extracting #8: cost 2 inf + 13380 70.982 * * [simplify]: Extracting #9: cost 0 inf + 14868 70.985 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))) 70.985 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))))) 70.985 * * * * [progress]: [ 159 / 2703 ] simplifiying candidate # 70.985 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 70.985 * * [simplify]: iters left: 6 (21 enodes) 70.991 * * [simplify]: iters left: 5 (74 enodes) 71.014 * * [simplify]: iters left: 4 (99 enodes) 71.045 * * [simplify]: iters left: 3 (147 enodes) 71.085 * * [simplify]: iters left: 2 (168 enodes) 71.111 * * [simplify]: iters left: 1 (205 enodes) 71.177 * * [simplify]: Extracting #0: cost 1 inf + 0 71.177 * * [simplify]: Extracting #1: cost 11 inf + 0 71.177 * * [simplify]: Extracting #2: cost 20 inf + 1 71.178 * * [simplify]: Extracting #3: cost 36 inf + 1 71.178 * * [simplify]: Extracting #4: cost 53 inf + 1 71.178 * * [simplify]: Extracting #5: cost 57 inf + 63 71.179 * * [simplify]: Extracting #6: cost 41 inf + 1783 71.181 * * [simplify]: Extracting #7: cost 17 inf + 9149 71.184 * * [simplify]: Extracting #8: cost 5 inf + 15095 71.188 * * [simplify]: Extracting #9: cost 0 inf + 17495 71.191 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 71.191 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 71.192 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 71.192 * * [simplify]: iters left: 6 (18 enodes) 71.196 * * [simplify]: iters left: 5 (61 enodes) 71.205 * * [simplify]: iters left: 4 (78 enodes) 71.223 * * [simplify]: iters left: 3 (101 enodes) 71.249 * * [simplify]: iters left: 2 (107 enodes) 71.263 * * [simplify]: iters left: 1 (115 enodes) 71.289 * * [simplify]: Extracting #0: cost 1 inf + 0 71.289 * * [simplify]: Extracting #1: cost 8 inf + 0 71.289 * * [simplify]: Extracting #2: cost 17 inf + 0 71.290 * * [simplify]: Extracting #3: cost 34 inf + 0 71.290 * * [simplify]: Extracting #4: cost 44 inf + 445 71.290 * * [simplify]: Extracting #5: cost 43 inf + 971 71.291 * * [simplify]: Extracting #6: cost 34 inf + 2084 71.292 * * [simplify]: Extracting #7: cost 16 inf + 6587 71.296 * * [simplify]: Extracting #8: cost 2 inf + 13077 71.299 * * [simplify]: Extracting #9: cost 0 inf + 13984 71.303 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 71.303 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 71.304 * * * * [progress]: [ 160 / 2703 ] simplifiying candidate # 71.304 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt 1))) 71.304 * * [simplify]: iters left: 6 (21 enodes) 71.316 * * [simplify]: iters left: 5 (74 enodes) 71.328 * * [simplify]: iters left: 4 (92 enodes) 71.341 * * [simplify]: iters left: 3 (122 enodes) 71.377 * * [simplify]: iters left: 2 (136 enodes) 71.399 * * [simplify]: iters left: 1 (154 enodes) 71.432 * * [simplify]: Extracting #0: cost 1 inf + 0 71.432 * * [simplify]: Extracting #1: cost 6 inf + 0 71.432 * * [simplify]: Extracting #2: cost 9 inf + 1 71.432 * * [simplify]: Extracting #3: cost 24 inf + 1 71.432 * * [simplify]: Extracting #4: cost 40 inf + 1 71.432 * * [simplify]: Extracting #5: cost 43 inf + 63 71.432 * * [simplify]: Extracting #6: cost 37 inf + 1276 71.433 * * [simplify]: Extracting #7: cost 27 inf + 2791 71.434 * * [simplify]: Extracting #8: cost 11 inf + 7496 71.436 * * [simplify]: Extracting #9: cost 2 inf + 11490 71.438 * * [simplify]: Extracting #10: cost 0 inf + 12699 71.440 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 71.441 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 71.441 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 71.441 * * [simplify]: iters left: 6 (17 enodes) 71.445 * * [simplify]: iters left: 5 (58 enodes) 71.458 * * [simplify]: iters left: 4 (74 enodes) 71.481 * * [simplify]: iters left: 3 (95 enodes) 71.506 * * [simplify]: iters left: 2 (101 enodes) 71.536 * * [simplify]: iters left: 1 (109 enodes) 71.565 * * [simplify]: Extracting #0: cost 1 inf + 0 71.565 * * [simplify]: Extracting #1: cost 8 inf + 0 71.565 * * [simplify]: Extracting #2: cost 17 inf + 0 71.565 * * [simplify]: Extracting #3: cost 34 inf + 0 71.565 * * [simplify]: Extracting #4: cost 43 inf + 486 71.566 * * [simplify]: Extracting #5: cost 35 inf + 834 71.568 * * [simplify]: Extracting #6: cost 11 inf + 8279 71.572 * * [simplify]: Extracting #7: cost 0 inf + 12694 71.576 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 71.576 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt 1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 71.577 * * * * [progress]: [ 161 / 2703 ] simplifiying candidate # 71.577 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 71.577 * * [simplify]: iters left: 6 (21 enodes) 71.588 * * [simplify]: iters left: 5 (74 enodes) 71.611 * * [simplify]: iters left: 4 (99 enodes) 71.643 * * [simplify]: iters left: 3 (147 enodes) 71.692 * * [simplify]: iters left: 2 (168 enodes) 71.739 * * [simplify]: iters left: 1 (205 enodes) 71.773 * * [simplify]: Extracting #0: cost 1 inf + 0 71.773 * * [simplify]: Extracting #1: cost 11 inf + 0 71.773 * * [simplify]: Extracting #2: cost 20 inf + 1 71.773 * * [simplify]: Extracting #3: cost 36 inf + 1 71.774 * * [simplify]: Extracting #4: cost 53 inf + 1 71.774 * * [simplify]: Extracting #5: cost 57 inf + 63 71.776 * * [simplify]: Extracting #6: cost 41 inf + 1783 71.779 * * [simplify]: Extracting #7: cost 17 inf + 9149 71.784 * * [simplify]: Extracting #8: cost 5 inf + 15095 71.791 * * [simplify]: Extracting #9: cost 0 inf + 17495 71.798 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 71.798 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 71.798 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 71.799 * * [simplify]: iters left: 6 (18 enodes) 71.803 * * [simplify]: iters left: 5 (61 enodes) 71.812 * * [simplify]: iters left: 4 (78 enodes) 71.824 * * [simplify]: iters left: 3 (101 enodes) 71.843 * * [simplify]: iters left: 2 (107 enodes) 71.856 * * [simplify]: iters left: 1 (115 enodes) 71.883 * * [simplify]: Extracting #0: cost 1 inf + 0 71.883 * * [simplify]: Extracting #1: cost 8 inf + 0 71.883 * * [simplify]: Extracting #2: cost 17 inf + 0 71.883 * * [simplify]: Extracting #3: cost 34 inf + 0 71.884 * * [simplify]: Extracting #4: cost 44 inf + 445 71.884 * * [simplify]: Extracting #5: cost 43 inf + 971 71.885 * * [simplify]: Extracting #6: cost 34 inf + 2084 71.886 * * [simplify]: Extracting #7: cost 16 inf + 6587 71.888 * * [simplify]: Extracting #8: cost 2 inf + 13077 71.890 * * [simplify]: Extracting #9: cost 0 inf + 13984 71.892 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 71.892 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 71.893 * * * * [progress]: [ 162 / 2703 ] simplifiying candidate # 71.893 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) 1)) 71.893 * * [simplify]: iters left: 6 (20 enodes) 71.899 * * [simplify]: iters left: 5 (69 enodes) 71.910 * * [simplify]: iters left: 4 (87 enodes) 71.927 * * [simplify]: iters left: 3 (115 enodes) 71.944 * * [simplify]: iters left: 2 (129 enodes) 71.970 * * [simplify]: iters left: 1 (148 enodes) 72.009 * * [simplify]: Extracting #0: cost 1 inf + 0 72.009 * * [simplify]: Extracting #1: cost 6 inf + 0 72.009 * * [simplify]: Extracting #2: cost 9 inf + 1 72.009 * * [simplify]: Extracting #3: cost 24 inf + 1 72.009 * * [simplify]: Extracting #4: cost 40 inf + 1 72.010 * * [simplify]: Extracting #5: cost 43 inf + 63 72.010 * * [simplify]: Extracting #6: cost 38 inf + 1315 72.011 * * [simplify]: Extracting #7: cost 25 inf + 3094 72.013 * * [simplify]: Extracting #8: cost 7 inf + 9131 72.017 * * [simplify]: Extracting #9: cost 0 inf + 12699 72.022 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 72.023 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 72.023 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 72.023 * * [simplify]: iters left: 6 (17 enodes) 72.032 * * [simplify]: iters left: 5 (58 enodes) 72.046 * * [simplify]: iters left: 4 (74 enodes) 72.057 * * [simplify]: iters left: 3 (95 enodes) 72.071 * * [simplify]: iters left: 2 (101 enodes) 72.100 * * [simplify]: iters left: 1 (109 enodes) 72.127 * * [simplify]: Extracting #0: cost 1 inf + 0 72.127 * * [simplify]: Extracting #1: cost 8 inf + 0 72.127 * * [simplify]: Extracting #2: cost 17 inf + 0 72.127 * * [simplify]: Extracting #3: cost 34 inf + 0 72.127 * * [simplify]: Extracting #4: cost 43 inf + 486 72.128 * * [simplify]: Extracting #5: cost 35 inf + 834 72.130 * * [simplify]: Extracting #6: cost 11 inf + 8279 72.134 * * [simplify]: Extracting #7: cost 0 inf + 12694 72.138 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 72.138 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) 1)) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 72.138 * * * * [progress]: [ 163 / 2703 ] simplifiying candidate # 72.139 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 72.139 * * [simplify]: iters left: 6 (22 enodes) 72.150 * * [simplify]: iters left: 5 (81 enodes) 72.177 * * [simplify]: iters left: 4 (139 enodes) 72.226 * * [simplify]: iters left: 3 (267 enodes) 72.309 * * [simplify]: iters left: 2 (438 enodes) 72.473 * * [simplify]: Extracting #0: cost 1 inf + 0 72.473 * * [simplify]: Extracting #1: cost 51 inf + 0 72.474 * * [simplify]: Extracting #2: cost 93 inf + 0 72.475 * * [simplify]: Extracting #3: cost 110 inf + 0 72.476 * * [simplify]: Extracting #4: cost 126 inf + 0 72.477 * * [simplify]: Extracting #5: cost 118 inf + 1435 72.478 * * [simplify]: Extracting #6: cost 108 inf + 2729 72.484 * * [simplify]: Extracting #7: cost 71 inf + 19162 72.506 * * [simplify]: Extracting #8: cost 16 inf + 58368 72.538 * * [simplify]: Extracting #9: cost 1 inf + 68483 72.570 * * [simplify]: Extracting #10: cost 0 inf + 69187 72.603 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))))) 72.603 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 72.603 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 72.604 * * [simplify]: iters left: 6 (19 enodes) 72.613 * * [simplify]: iters left: 5 (64 enodes) 72.624 * * [simplify]: iters left: 4 (81 enodes) 72.637 * * [simplify]: iters left: 3 (104 enodes) 72.663 * * [simplify]: iters left: 2 (110 enodes) 72.691 * * [simplify]: iters left: 1 (118 enodes) 72.715 * * [simplify]: Extracting #0: cost 1 inf + 0 72.715 * * [simplify]: Extracting #1: cost 8 inf + 0 72.715 * * [simplify]: Extracting #2: cost 17 inf + 0 72.715 * * [simplify]: Extracting #3: cost 34 inf + 0 72.715 * * [simplify]: Extracting #4: cost 51 inf + 0 72.715 * * [simplify]: Extracting #5: cost 44 inf + 1011 72.715 * * [simplify]: Extracting #6: cost 31 inf + 3051 72.716 * * [simplify]: Extracting #7: cost 16 inf + 7191 72.718 * * [simplify]: Extracting #8: cost 2 inf + 13618 72.720 * * [simplify]: Extracting #9: cost 0 inf + 15186 72.722 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))) 72.722 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 72.723 * * * * [progress]: [ 164 / 2703 ] simplifiying candidate # 72.723 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 72.723 * * [simplify]: iters left: 6 (23 enodes) 72.729 * * [simplify]: iters left: 5 (81 enodes) 72.748 * * [simplify]: iters left: 4 (117 enodes) 72.774 * * [simplify]: iters left: 3 (195 enodes) 72.814 * * [simplify]: iters left: 2 (254 enodes) 72.889 * * [simplify]: iters left: 1 (291 enodes) 72.955 * * [simplify]: Extracting #0: cost 1 inf + 0 72.955 * * [simplify]: Extracting #1: cost 26 inf + 0 72.956 * * [simplify]: Extracting #2: cost 54 inf + 0 72.956 * * [simplify]: Extracting #3: cost 73 inf + 0 72.957 * * [simplify]: Extracting #4: cost 91 inf + 0 72.957 * * [simplify]: Extracting #5: cost 86 inf + 890 72.958 * * [simplify]: Extracting #6: cost 70 inf + 3452 72.962 * * [simplify]: Extracting #7: cost 39 inf + 15565 72.977 * * [simplify]: Extracting #8: cost 9 inf + 33790 72.993 * * [simplify]: Extracting #9: cost 0 inf + 40766 73.009 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th)))))))) 73.009 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th)))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 73.010 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 73.010 * * [simplify]: iters left: 6 (20 enodes) 73.019 * * [simplify]: iters left: 5 (67 enodes) 73.040 * * [simplify]: iters left: 4 (84 enodes) 73.067 * * [simplify]: iters left: 3 (107 enodes) 73.098 * * [simplify]: iters left: 2 (113 enodes) 73.124 * * [simplify]: iters left: 1 (121 enodes) 73.141 * * [simplify]: Extracting #0: cost 1 inf + 0 73.141 * * [simplify]: Extracting #1: cost 8 inf + 0 73.141 * * [simplify]: Extracting #2: cost 17 inf + 0 73.141 * * [simplify]: Extracting #3: cost 35 inf + 0 73.141 * * [simplify]: Extracting #4: cost 53 inf + 0 73.141 * * [simplify]: Extracting #5: cost 46 inf + 1172 73.142 * * [simplify]: Extracting #6: cost 32 inf + 3454 73.143 * * [simplify]: Extracting #7: cost 15 inf + 8581 73.144 * * [simplify]: Extracting #8: cost 7 inf + 11486 73.147 * * [simplify]: Extracting #9: cost 1 inf + 15267 73.151 * * [simplify]: Extracting #10: cost 0 inf + 15750 73.156 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) 73.156 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))))) 73.156 * * * * [progress]: [ 165 / 2703 ] simplifiying candidate # 73.157 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 73.157 * * [simplify]: iters left: 6 (21 enodes) 73.167 * * [simplify]: iters left: 5 (74 enodes) 73.191 * * [simplify]: iters left: 4 (110 enodes) 73.227 * * [simplify]: iters left: 3 (188 enodes) 73.289 * * [simplify]: iters left: 2 (248 enodes) 73.342 * * [simplify]: iters left: 1 (287 enodes) 73.406 * * [simplify]: Extracting #0: cost 1 inf + 0 73.406 * * [simplify]: Extracting #1: cost 26 inf + 0 73.406 * * [simplify]: Extracting #2: cost 53 inf + 0 73.407 * * [simplify]: Extracting #3: cost 70 inf + 0 73.407 * * [simplify]: Extracting #4: cost 87 inf + 0 73.408 * * [simplify]: Extracting #5: cost 81 inf + 990 73.409 * * [simplify]: Extracting #6: cost 66 inf + 3633 73.412 * * [simplify]: Extracting #7: cost 49 inf + 7755 73.418 * * [simplify]: Extracting #8: cost 29 inf + 18445 73.430 * * [simplify]: Extracting #9: cost 5 inf + 34718 73.447 * * [simplify]: Extracting #10: cost 0 inf + 38198 73.463 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 73.463 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 73.464 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 73.464 * * [simplify]: iters left: 6 (19 enodes) 73.473 * * [simplify]: iters left: 5 (64 enodes) 73.494 * * [simplify]: iters left: 4 (81 enodes) 73.507 * * [simplify]: iters left: 3 (104 enodes) 73.522 * * [simplify]: iters left: 2 (110 enodes) 73.546 * * [simplify]: iters left: 1 (118 enodes) 73.576 * * [simplify]: Extracting #0: cost 1 inf + 0 73.576 * * [simplify]: Extracting #1: cost 8 inf + 0 73.576 * * [simplify]: Extracting #2: cost 17 inf + 0 73.576 * * [simplify]: Extracting #3: cost 34 inf + 0 73.576 * * [simplify]: Extracting #4: cost 51 inf + 0 73.576 * * [simplify]: Extracting #5: cost 44 inf + 1011 73.577 * * [simplify]: Extracting #6: cost 31 inf + 3051 73.577 * * [simplify]: Extracting #7: cost 16 inf + 7151 73.579 * * [simplify]: Extracting #8: cost 2 inf + 13378 73.582 * * [simplify]: Extracting #9: cost 0 inf + 14866 73.584 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))) 73.584 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 73.584 * * * * [progress]: [ 166 / 2703 ] simplifiying candidate # 73.584 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 73.584 * * [simplify]: iters left: 6 (22 enodes) 73.594 * * [simplify]: iters left: 5 (79 enodes) 73.607 * * [simplify]: iters left: 4 (108 enodes) 73.639 * * [simplify]: iters left: 3 (174 enodes) 73.698 * * [simplify]: iters left: 2 (212 enodes) 73.762 * * [simplify]: iters left: 1 (246 enodes) 73.815 * * [simplify]: Extracting #0: cost 1 inf + 0 73.815 * * [simplify]: Extracting #1: cost 17 inf + 0 73.815 * * [simplify]: Extracting #2: cost 31 inf + 1 73.815 * * [simplify]: Extracting #3: cost 47 inf + 1 73.815 * * [simplify]: Extracting #4: cost 63 inf + 1 73.816 * * [simplify]: Extracting #5: cost 56 inf + 1052 73.816 * * [simplify]: Extracting #6: cost 47 inf + 3933 73.817 * * [simplify]: Extracting #7: cost 38 inf + 5267 73.818 * * [simplify]: Extracting #8: cost 21 inf + 11258 73.823 * * [simplify]: Extracting #9: cost 2 inf + 22189 73.834 * * [simplify]: Extracting #10: cost 0 inf + 23597 73.841 * [simplify]: Simplified to (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) 73.841 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 73.842 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 73.842 * * [simplify]: iters left: 6 (18 enodes) 73.846 * * [simplify]: iters left: 5 (61 enodes) 73.856 * * [simplify]: iters left: 4 (78 enodes) 73.869 * * [simplify]: iters left: 3 (101 enodes) 73.891 * * [simplify]: iters left: 2 (107 enodes) 73.907 * * [simplify]: iters left: 1 (115 enodes) 73.934 * * [simplify]: Extracting #0: cost 1 inf + 0 73.934 * * [simplify]: Extracting #1: cost 8 inf + 0 73.934 * * [simplify]: Extracting #2: cost 17 inf + 0 73.934 * * [simplify]: Extracting #3: cost 35 inf + 0 73.935 * * [simplify]: Extracting #4: cost 53 inf + 0 73.935 * * [simplify]: Extracting #5: cost 39 inf + 1095 73.936 * * [simplify]: Extracting #6: cost 19 inf + 5859 73.940 * * [simplify]: Extracting #7: cost 2 inf + 13235 73.944 * * [simplify]: Extracting #8: cost 0 inf + 14222 73.948 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) 73.948 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))))) 73.949 * * * * [progress]: [ 167 / 2703 ] simplifiying candidate # 73.949 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 73.949 * * [simplify]: iters left: 6 (21 enodes) 73.959 * * [simplify]: iters left: 5 (74 enodes) 73.982 * * [simplify]: iters left: 4 (110 enodes) 74.018 * * [simplify]: iters left: 3 (188 enodes) 74.083 * * [simplify]: iters left: 2 (248 enodes) 74.167 * * [simplify]: iters left: 1 (287 enodes) 74.256 * * [simplify]: Extracting #0: cost 1 inf + 0 74.256 * * [simplify]: Extracting #1: cost 26 inf + 0 74.257 * * [simplify]: Extracting #2: cost 53 inf + 0 74.257 * * [simplify]: Extracting #3: cost 70 inf + 0 74.258 * * [simplify]: Extracting #4: cost 87 inf + 0 74.258 * * [simplify]: Extracting #5: cost 81 inf + 990 74.259 * * [simplify]: Extracting #6: cost 66 inf + 3633 74.260 * * [simplify]: Extracting #7: cost 49 inf + 7755 74.263 * * [simplify]: Extracting #8: cost 29 inf + 18445 74.270 * * [simplify]: Extracting #9: cost 5 inf + 34718 74.279 * * [simplify]: Extracting #10: cost 0 inf + 38198 74.287 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 74.287 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 74.288 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 74.288 * * [simplify]: iters left: 6 (19 enodes) 74.295 * * [simplify]: iters left: 5 (64 enodes) 74.305 * * [simplify]: iters left: 4 (81 enodes) 74.318 * * [simplify]: iters left: 3 (104 enodes) 74.343 * * [simplify]: iters left: 2 (110 enodes) 74.357 * * [simplify]: iters left: 1 (118 enodes) 74.373 * * [simplify]: Extracting #0: cost 1 inf + 0 74.373 * * [simplify]: Extracting #1: cost 8 inf + 0 74.373 * * [simplify]: Extracting #2: cost 17 inf + 0 74.373 * * [simplify]: Extracting #3: cost 34 inf + 0 74.373 * * [simplify]: Extracting #4: cost 51 inf + 0 74.373 * * [simplify]: Extracting #5: cost 44 inf + 1011 74.374 * * [simplify]: Extracting #6: cost 31 inf + 3051 74.375 * * [simplify]: Extracting #7: cost 16 inf + 7151 74.379 * * [simplify]: Extracting #8: cost 2 inf + 13378 74.383 * * [simplify]: Extracting #9: cost 0 inf + 14866 74.389 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))) 74.389 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 74.390 * * * * [progress]: [ 168 / 2703 ] simplifiying candidate # 74.390 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 74.390 * * [simplify]: iters left: 6 (21 enodes) 74.401 * * [simplify]: iters left: 5 (74 enodes) 74.427 * * [simplify]: iters left: 4 (112 enodes) 74.463 * * [simplify]: iters left: 3 (169 enodes) 74.495 * * [simplify]: iters left: 2 (220 enodes) 74.553 * * [simplify]: iters left: 1 (252 enodes) 74.633 * * [simplify]: Extracting #0: cost 1 inf + 0 74.633 * * [simplify]: Extracting #1: cost 16 inf + 0 74.633 * * [simplify]: Extracting #2: cost 30 inf + 1 74.634 * * [simplify]: Extracting #3: cost 46 inf + 1 74.634 * * [simplify]: Extracting #4: cost 62 inf + 1 74.634 * * [simplify]: Extracting #5: cost 54 inf + 1173 74.636 * * [simplify]: Extracting #6: cost 44 inf + 4417 74.637 * * [simplify]: Extracting #7: cost 38 inf + 4985 74.640 * * [simplify]: Extracting #8: cost 22 inf + 10452 74.647 * * [simplify]: Extracting #9: cost 4 inf + 20619 74.658 * * [simplify]: Extracting #10: cost 0 inf + 23395 74.668 * * [simplify]: Extracting #11: cost 0 inf + 23315 74.680 * [simplify]: Simplified to (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) 74.680 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 74.680 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 74.681 * * [simplify]: iters left: 6 (18 enodes) 74.689 * * [simplify]: iters left: 5 (61 enodes) 74.701 * * [simplify]: iters left: 4 (78 enodes) 74.713 * * [simplify]: iters left: 3 (101 enodes) 74.731 * * [simplify]: iters left: 2 (107 enodes) 74.759 * * [simplify]: iters left: 1 (115 enodes) 74.788 * * [simplify]: Extracting #0: cost 1 inf + 0 74.788 * * [simplify]: Extracting #1: cost 8 inf + 0 74.788 * * [simplify]: Extracting #2: cost 17 inf + 0 74.788 * * [simplify]: Extracting #3: cost 35 inf + 0 74.788 * * [simplify]: Extracting #4: cost 53 inf + 0 74.788 * * [simplify]: Extracting #5: cost 39 inf + 1095 74.789 * * [simplify]: Extracting #6: cost 19 inf + 5859 74.791 * * [simplify]: Extracting #7: cost 2 inf + 13235 74.793 * * [simplify]: Extracting #8: cost 0 inf + 14222 74.795 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) 74.795 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))))) 74.795 * * * * [progress]: [ 169 / 2703 ] simplifiying candidate # 74.795 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 74.796 * * [simplify]: iters left: 6 (21 enodes) 74.801 * * [simplify]: iters left: 5 (74 enodes) 74.813 * * [simplify]: iters left: 4 (107 enodes) 74.842 * * [simplify]: iters left: 3 (165 enodes) 74.896 * * [simplify]: iters left: 2 (220 enodes) 74.932 * * [simplify]: iters left: 1 (256 enodes) 74.997 * * [simplify]: Extracting #0: cost 1 inf + 0 74.998 * * [simplify]: Extracting #1: cost 25 inf + 0 74.998 * * [simplify]: Extracting #2: cost 51 inf + 0 74.998 * * [simplify]: Extracting #3: cost 68 inf + 0 74.998 * * [simplify]: Extracting #4: cost 85 inf + 0 74.998 * * [simplify]: Extracting #5: cost 79 inf + 770 74.999 * * [simplify]: Extracting #6: cost 66 inf + 2850 75.000 * * [simplify]: Extracting #7: cost 45 inf + 9649 75.005 * * [simplify]: Extracting #8: cost 12 inf + 29188 75.013 * * [simplify]: Extracting #9: cost 0 inf + 37253 75.023 * * [simplify]: Extracting #10: cost 0 inf + 37213 75.038 * [simplify]: Simplified to (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) 75.038 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 75.039 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 75.039 * * [simplify]: iters left: 6 (19 enodes) 75.048 * * [simplify]: iters left: 5 (64 enodes) 75.057 * * [simplify]: iters left: 4 (81 enodes) 75.072 * * [simplify]: iters left: 3 (104 enodes) 75.101 * * [simplify]: iters left: 2 (110 enodes) 75.130 * * [simplify]: iters left: 1 (118 enodes) 75.146 * * [simplify]: Extracting #0: cost 1 inf + 0 75.146 * * [simplify]: Extracting #1: cost 8 inf + 0 75.146 * * [simplify]: Extracting #2: cost 17 inf + 0 75.146 * * [simplify]: Extracting #3: cost 34 inf + 0 75.146 * * [simplify]: Extracting #4: cost 51 inf + 0 75.147 * * [simplify]: Extracting #5: cost 44 inf + 931 75.147 * * [simplify]: Extracting #6: cost 31 inf + 2971 75.148 * * [simplify]: Extracting #7: cost 16 inf + 7111 75.150 * * [simplify]: Extracting #8: cost 2 inf + 13378 75.152 * * [simplify]: Extracting #9: cost 0 inf + 14866 75.154 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 75.154 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))))) 75.155 * * * * [progress]: [ 170 / 2703 ] simplifiying candidate # 75.155 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 75.155 * * [simplify]: iters left: 6 (22 enodes) 75.162 * * [simplify]: iters left: 5 (76 enodes) 75.187 * * [simplify]: iters left: 4 (101 enodes) 75.218 * * [simplify]: iters left: 3 (139 enodes) 75.245 * * [simplify]: iters left: 2 (158 enodes) 75.276 * * [simplify]: iters left: 1 (171 enodes) 75.320 * * [simplify]: Extracting #0: cost 1 inf + 0 75.321 * * [simplify]: Extracting #1: cost 17 inf + 0 75.321 * * [simplify]: Extracting #2: cost 35 inf + 0 75.321 * * [simplify]: Extracting #3: cost 54 inf + 0 75.321 * * [simplify]: Extracting #4: cost 72 inf + 0 75.321 * * [simplify]: Extracting #5: cost 67 inf + 890 75.322 * * [simplify]: Extracting #6: cost 50 inf + 3415 75.323 * * [simplify]: Extracting #7: cost 32 inf + 10051 75.327 * * [simplify]: Extracting #8: cost 4 inf + 24384 75.332 * * [simplify]: Extracting #9: cost 0 inf + 27360 75.336 * [simplify]: Simplified to (* (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 75.336 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 75.337 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 75.337 * * [simplify]: iters left: 6 (20 enodes) 75.342 * * [simplify]: iters left: 5 (67 enodes) 75.352 * * [simplify]: iters left: 4 (84 enodes) 75.376 * * [simplify]: iters left: 3 (107 enodes) 75.399 * * [simplify]: iters left: 2 (113 enodes) 75.418 * * [simplify]: iters left: 1 (121 enodes) 75.444 * * [simplify]: Extracting #0: cost 1 inf + 0 75.445 * * [simplify]: Extracting #1: cost 8 inf + 0 75.445 * * [simplify]: Extracting #2: cost 17 inf + 0 75.445 * * [simplify]: Extracting #3: cost 35 inf + 0 75.445 * * [simplify]: Extracting #4: cost 53 inf + 0 75.445 * * [simplify]: Extracting #5: cost 46 inf + 1132 75.446 * * [simplify]: Extracting #6: cost 32 inf + 3374 75.448 * * [simplify]: Extracting #7: cost 15 inf + 8461 75.451 * * [simplify]: Extracting #8: cost 7 inf + 11326 75.453 * * [simplify]: Extracting #9: cost 1 inf + 14987 75.455 * * [simplify]: Extracting #10: cost 0 inf + 15430 75.457 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (cbrt (sqrt 2))))) 75.457 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (cbrt (sqrt 2))))))) 75.458 * * * * [progress]: [ 171 / 2703 ] simplifiying candidate # 75.458 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 75.458 * * [simplify]: iters left: 6 (20 enodes) 75.463 * * [simplify]: iters left: 5 (69 enodes) 75.474 * * [simplify]: iters left: 4 (94 enodes) 75.489 * * [simplify]: iters left: 3 (132 enodes) 75.510 * * [simplify]: iters left: 2 (151 enodes) 75.530 * * [simplify]: iters left: 1 (164 enodes) 75.552 * * [simplify]: Extracting #0: cost 1 inf + 0 75.552 * * [simplify]: Extracting #1: cost 17 inf + 0 75.552 * * [simplify]: Extracting #2: cost 34 inf + 0 75.552 * * [simplify]: Extracting #3: cost 51 inf + 0 75.553 * * [simplify]: Extracting #4: cost 68 inf + 0 75.553 * * [simplify]: Extracting #5: cost 63 inf + 709 75.553 * * [simplify]: Extracting #6: cost 49 inf + 3111 75.554 * * [simplify]: Extracting #7: cost 45 inf + 3456 75.555 * * [simplify]: Extracting #8: cost 25 inf + 11762 75.560 * * [simplify]: Extracting #9: cost 2 inf + 24024 75.564 * * [simplify]: Extracting #10: cost 0 inf + 25352 75.568 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 75.569 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 75.569 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 75.569 * * [simplify]: iters left: 6 (19 enodes) 75.574 * * [simplify]: iters left: 5 (64 enodes) 75.585 * * [simplify]: iters left: 4 (81 enodes) 75.604 * * [simplify]: iters left: 3 (104 enodes) 75.629 * * [simplify]: iters left: 2 (110 enodes) 75.643 * * [simplify]: iters left: 1 (118 enodes) 75.669 * * [simplify]: Extracting #0: cost 1 inf + 0 75.669 * * [simplify]: Extracting #1: cost 8 inf + 0 75.669 * * [simplify]: Extracting #2: cost 17 inf + 0 75.670 * * [simplify]: Extracting #3: cost 34 inf + 0 75.670 * * [simplify]: Extracting #4: cost 51 inf + 0 75.670 * * [simplify]: Extracting #5: cost 44 inf + 931 75.670 * * [simplify]: Extracting #6: cost 31 inf + 2971 75.671 * * [simplify]: Extracting #7: cost 16 inf + 7071 75.673 * * [simplify]: Extracting #8: cost 2 inf + 13138 75.675 * * [simplify]: Extracting #9: cost 0 inf + 14546 75.677 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 75.677 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))))) 75.678 * * * * [progress]: [ 172 / 2703 ] simplifiying candidate # 75.678 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 75.678 * * [simplify]: iters left: 6 (21 enodes) 75.685 * * [simplify]: iters left: 5 (74 enodes) 75.697 * * [simplify]: iters left: 4 (92 enodes) 75.711 * * [simplify]: iters left: 3 (125 enodes) 75.734 * * [simplify]: iters left: 2 (140 enodes) 75.757 * * [simplify]: iters left: 1 (149 enodes) 75.777 * * [simplify]: Extracting #0: cost 1 inf + 0 75.777 * * [simplify]: Extracting #1: cost 8 inf + 0 75.777 * * [simplify]: Extracting #2: cost 14 inf + 1 75.777 * * [simplify]: Extracting #3: cost 30 inf + 1 75.777 * * [simplify]: Extracting #4: cost 46 inf + 1 75.778 * * [simplify]: Extracting #5: cost 39 inf + 1113 75.778 * * [simplify]: Extracting #6: cost 35 inf + 2585 75.779 * * [simplify]: Extracting #7: cost 28 inf + 3375 75.780 * * [simplify]: Extracting #8: cost 9 inf + 9712 75.782 * * [simplify]: Extracting #9: cost 2 inf + 13137 75.785 * * [simplify]: Extracting #10: cost 0 inf + 14425 75.787 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2))))) 75.787 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 75.788 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 75.788 * * [simplify]: iters left: 6 (18 enodes) 75.792 * * [simplify]: iters left: 5 (61 enodes) 75.802 * * [simplify]: iters left: 4 (78 enodes) 75.821 * * [simplify]: iters left: 3 (101 enodes) 75.850 * * [simplify]: iters left: 2 (107 enodes) 75.877 * * [simplify]: iters left: 1 (115 enodes) 75.910 * * [simplify]: Extracting #0: cost 1 inf + 0 75.910 * * [simplify]: Extracting #1: cost 8 inf + 0 75.910 * * [simplify]: Extracting #2: cost 17 inf + 0 75.910 * * [simplify]: Extracting #3: cost 35 inf + 0 75.910 * * [simplify]: Extracting #4: cost 53 inf + 0 75.911 * * [simplify]: Extracting #5: cost 39 inf + 1055 75.912 * * [simplify]: Extracting #6: cost 19 inf + 5739 75.916 * * [simplify]: Extracting #7: cost 2 inf + 12955 75.920 * * [simplify]: Extracting #8: cost 0 inf + 13902 75.923 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2))))) 75.923 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2))))))) 75.924 * * * * [progress]: [ 173 / 2703 ] simplifiying candidate # 75.924 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 75.924 * * [simplify]: iters left: 6 (20 enodes) 75.929 * * [simplify]: iters left: 5 (69 enodes) 75.940 * * [simplify]: iters left: 4 (94 enodes) 75.955 * * [simplify]: iters left: 3 (132 enodes) 75.975 * * [simplify]: iters left: 2 (151 enodes) 75.997 * * [simplify]: iters left: 1 (164 enodes) 76.022 * * [simplify]: Extracting #0: cost 1 inf + 0 76.022 * * [simplify]: Extracting #1: cost 17 inf + 0 76.022 * * [simplify]: Extracting #2: cost 34 inf + 0 76.022 * * [simplify]: Extracting #3: cost 51 inf + 0 76.022 * * [simplify]: Extracting #4: cost 68 inf + 0 76.023 * * [simplify]: Extracting #5: cost 63 inf + 709 76.023 * * [simplify]: Extracting #6: cost 49 inf + 3111 76.024 * * [simplify]: Extracting #7: cost 45 inf + 3456 76.025 * * [simplify]: Extracting #8: cost 25 inf + 11762 76.029 * * [simplify]: Extracting #9: cost 2 inf + 24024 76.034 * * [simplify]: Extracting #10: cost 0 inf + 25352 76.038 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 76.038 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 76.039 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 76.039 * * [simplify]: iters left: 6 (19 enodes) 76.048 * * [simplify]: iters left: 5 (64 enodes) 76.065 * * [simplify]: iters left: 4 (81 enodes) 76.078 * * [simplify]: iters left: 3 (104 enodes) 76.099 * * [simplify]: iters left: 2 (110 enodes) 76.123 * * [simplify]: iters left: 1 (118 enodes) 76.139 * * [simplify]: Extracting #0: cost 1 inf + 0 76.139 * * [simplify]: Extracting #1: cost 8 inf + 0 76.139 * * [simplify]: Extracting #2: cost 17 inf + 0 76.139 * * [simplify]: Extracting #3: cost 34 inf + 0 76.139 * * [simplify]: Extracting #4: cost 51 inf + 0 76.139 * * [simplify]: Extracting #5: cost 44 inf + 931 76.140 * * [simplify]: Extracting #6: cost 31 inf + 2971 76.141 * * [simplify]: Extracting #7: cost 16 inf + 7071 76.143 * * [simplify]: Extracting #8: cost 2 inf + 13138 76.145 * * [simplify]: Extracting #9: cost 0 inf + 14546 76.148 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 76.148 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))))) 76.148 * * * * [progress]: [ 174 / 2703 ] simplifiying candidate # 76.148 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) 1)) 76.148 * * [simplify]: iters left: 6 (20 enodes) 76.154 * * [simplify]: iters left: 5 (69 enodes) 76.165 * * [simplify]: iters left: 4 (89 enodes) 76.183 * * [simplify]: iters left: 3 (122 enodes) 76.202 * * [simplify]: iters left: 2 (138 enodes) 76.226 * * [simplify]: iters left: 1 (153 enodes) 76.265 * * [simplify]: Extracting #0: cost 1 inf + 0 76.265 * * [simplify]: Extracting #1: cost 12 inf + 0 76.265 * * [simplify]: Extracting #2: cost 20 inf + 1 76.266 * * [simplify]: Extracting #3: cost 36 inf + 1 76.266 * * [simplify]: Extracting #4: cost 52 inf + 1 76.266 * * [simplify]: Extracting #5: cost 45 inf + 972 76.267 * * [simplify]: Extracting #6: cost 39 inf + 3029 76.268 * * [simplify]: Extracting #7: cost 30 inf + 4062 76.271 * * [simplify]: Extracting #8: cost 12 inf + 10819 76.276 * * [simplify]: Extracting #9: cost 0 inf + 17064 76.283 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2))))) 76.283 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 76.283 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 76.283 * * [simplify]: iters left: 6 (18 enodes) 76.294 * * [simplify]: iters left: 5 (61 enodes) 76.313 * * [simplify]: iters left: 4 (78 enodes) 76.337 * * [simplify]: iters left: 3 (101 enodes) 76.366 * * [simplify]: iters left: 2 (107 enodes) 76.393 * * [simplify]: iters left: 1 (115 enodes) 76.423 * * [simplify]: Extracting #0: cost 1 inf + 0 76.423 * * [simplify]: Extracting #1: cost 8 inf + 0 76.423 * * [simplify]: Extracting #2: cost 17 inf + 0 76.423 * * [simplify]: Extracting #3: cost 35 inf + 0 76.423 * * [simplify]: Extracting #4: cost 53 inf + 0 76.424 * * [simplify]: Extracting #5: cost 39 inf + 1055 76.425 * * [simplify]: Extracting #6: cost 19 inf + 5739 76.429 * * [simplify]: Extracting #7: cost 2 inf + 12955 76.433 * * [simplify]: Extracting #8: cost 0 inf + 13902 76.439 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2))))) 76.439 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) 1)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2))))))) 76.439 * * * * [progress]: [ 175 / 2703 ] simplifiying candidate # 76.440 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 76.440 * * [simplify]: iters left: 6 (21 enodes) 76.451 * * [simplify]: iters left: 5 (76 enodes) 76.465 * * [simplify]: iters left: 4 (107 enodes) 76.483 * * [simplify]: iters left: 3 (178 enodes) 76.516 * * [simplify]: iters left: 2 (238 enodes) 76.605 * * [simplify]: iters left: 1 (333 enodes) 76.755 * * [simplify]: Extracting #0: cost 1 inf + 0 76.755 * * [simplify]: Extracting #1: cost 17 inf + 0 76.755 * * [simplify]: Extracting #2: cost 32 inf + 1 76.755 * * [simplify]: Extracting #3: cost 48 inf + 1 76.756 * * [simplify]: Extracting #4: cost 65 inf + 1 76.756 * * [simplify]: Extracting #5: cost 69 inf + 63 76.756 * * [simplify]: Extracting #6: cost 55 inf + 1379 76.757 * * [simplify]: Extracting #7: cost 31 inf + 8321 76.761 * * [simplify]: Extracting #8: cost 9 inf + 20345 76.767 * * [simplify]: Extracting #9: cost 0 inf + 24901 76.773 * [simplify]: Simplified to (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 76.773 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 76.773 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 76.773 * * [simplify]: iters left: 6 (18 enodes) 76.781 * * [simplify]: iters left: 5 (61 enodes) 76.800 * * [simplify]: iters left: 4 (78 enodes) 76.821 * * [simplify]: iters left: 3 (101 enodes) 76.837 * * [simplify]: iters left: 2 (107 enodes) 76.855 * * [simplify]: iters left: 1 (115 enodes) 76.878 * * [simplify]: Extracting #0: cost 1 inf + 0 76.878 * * [simplify]: Extracting #1: cost 8 inf + 0 76.878 * * [simplify]: Extracting #2: cost 17 inf + 0 76.878 * * [simplify]: Extracting #3: cost 34 inf + 0 76.878 * * [simplify]: Extracting #4: cost 44 inf + 445 76.878 * * [simplify]: Extracting #5: cost 43 inf + 971 76.878 * * [simplify]: Extracting #6: cost 34 inf + 2084 76.879 * * [simplify]: Extracting #7: cost 16 inf + 6667 76.881 * * [simplify]: Extracting #8: cost 2 inf + 13397 76.883 * * [simplify]: Extracting #9: cost 0 inf + 14304 76.885 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 76.885 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 76.886 * * * * [progress]: [ 176 / 2703 ] simplifiying candidate # 76.886 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 76.886 * * [simplify]: iters left: 6 (22 enodes) 76.891 * * [simplify]: iters left: 5 (78 enodes) 76.907 * * [simplify]: iters left: 4 (101 enodes) 76.942 * * [simplify]: iters left: 3 (149 enodes) 76.983 * * [simplify]: iters left: 2 (170 enodes) 77.011 * * [simplify]: iters left: 1 (206 enodes) 77.061 * * [simplify]: Extracting #0: cost 1 inf + 0 77.061 * * [simplify]: Extracting #1: cost 11 inf + 0 77.061 * * [simplify]: Extracting #2: cost 21 inf + 1 77.061 * * [simplify]: Extracting #3: cost 39 inf + 1 77.061 * * [simplify]: Extracting #4: cost 57 inf + 1 77.062 * * [simplify]: Extracting #5: cost 61 inf + 63 77.062 * * [simplify]: Extracting #6: cost 50 inf + 915 77.063 * * [simplify]: Extracting #7: cost 20 inf + 9674 77.066 * * [simplify]: Extracting #8: cost 4 inf + 16747 77.070 * * [simplify]: Extracting #9: cost 0 inf + 19023 77.076 * [simplify]: Simplified to (* (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 77.077 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 77.077 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 77.078 * * [simplify]: iters left: 6 (19 enodes) 77.087 * * [simplify]: iters left: 5 (64 enodes) 77.106 * * [simplify]: iters left: 4 (81 enodes) 77.130 * * [simplify]: iters left: 3 (104 enodes) 77.153 * * [simplify]: iters left: 2 (110 enodes) 77.170 * * [simplify]: iters left: 1 (118 enodes) 77.197 * * [simplify]: Extracting #0: cost 1 inf + 0 77.197 * * [simplify]: Extracting #1: cost 8 inf + 0 77.197 * * [simplify]: Extracting #2: cost 17 inf + 0 77.197 * * [simplify]: Extracting #3: cost 35 inf + 0 77.197 * * [simplify]: Extracting #4: cost 45 inf + 486 77.198 * * [simplify]: Extracting #5: cost 45 inf + 770 77.198 * * [simplify]: Extracting #6: cost 33 inf + 2649 77.200 * * [simplify]: Extracting #7: cost 16 inf + 7193 77.204 * * [simplify]: Extracting #8: cost 2 inf + 13380 77.208 * * [simplify]: Extracting #9: cost 0 inf + 14868 77.212 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))) 77.213 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))))) 77.213 * * * * [progress]: [ 177 / 2703 ] simplifiying candidate # 77.213 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 77.214 * * [simplify]: iters left: 6 (20 enodes) 77.224 * * [simplify]: iters left: 5 (71 enodes) 77.236 * * [simplify]: iters left: 4 (94 enodes) 77.252 * * [simplify]: iters left: 3 (142 enodes) 77.294 * * [simplify]: iters left: 2 (163 enodes) 77.330 * * [simplify]: iters left: 1 (199 enodes) 77.373 * * [simplify]: Extracting #0: cost 1 inf + 0 77.373 * * [simplify]: Extracting #1: cost 11 inf + 0 77.373 * * [simplify]: Extracting #2: cost 20 inf + 1 77.373 * * [simplify]: Extracting #3: cost 36 inf + 1 77.373 * * [simplify]: Extracting #4: cost 53 inf + 1 77.373 * * [simplify]: Extracting #5: cost 57 inf + 63 77.374 * * [simplify]: Extracting #6: cost 41 inf + 1924 77.375 * * [simplify]: Extracting #7: cost 15 inf + 9937 77.379 * * [simplify]: Extracting #8: cost 2 inf + 16206 77.383 * * [simplify]: Extracting #9: cost 0 inf + 17495 77.386 * [simplify]: Simplified to (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 77.386 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 77.387 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 77.387 * * [simplify]: iters left: 6 (18 enodes) 77.391 * * [simplify]: iters left: 5 (61 enodes) 77.407 * * [simplify]: iters left: 4 (78 enodes) 77.431 * * [simplify]: iters left: 3 (101 enodes) 77.460 * * [simplify]: iters left: 2 (107 enodes) 77.487 * * [simplify]: iters left: 1 (115 enodes) 77.518 * * [simplify]: Extracting #0: cost 1 inf + 0 77.518 * * [simplify]: Extracting #1: cost 8 inf + 0 77.518 * * [simplify]: Extracting #2: cost 17 inf + 0 77.520 * * [simplify]: Extracting #3: cost 34 inf + 0 77.520 * * [simplify]: Extracting #4: cost 44 inf + 445 77.520 * * [simplify]: Extracting #5: cost 43 inf + 971 77.521 * * [simplify]: Extracting #6: cost 34 inf + 2084 77.523 * * [simplify]: Extracting #7: cost 16 inf + 6587 77.527 * * [simplify]: Extracting #8: cost 2 inf + 13077 77.532 * * [simplify]: Extracting #9: cost 0 inf + 13984 77.536 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 77.536 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 77.536 * * * * [progress]: [ 178 / 2703 ] simplifiying candidate # 77.537 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt 1))) 77.537 * * [simplify]: iters left: 6 (20 enodes) 77.545 * * [simplify]: iters left: 5 (71 enodes) 77.557 * * [simplify]: iters left: 4 (89 enodes) 77.571 * * [simplify]: iters left: 3 (119 enodes) 77.597 * * [simplify]: iters left: 2 (133 enodes) 77.635 * * [simplify]: iters left: 1 (151 enodes) 77.664 * * [simplify]: Extracting #0: cost 1 inf + 0 77.664 * * [simplify]: Extracting #1: cost 6 inf + 0 77.664 * * [simplify]: Extracting #2: cost 9 inf + 1 77.665 * * [simplify]: Extracting #3: cost 24 inf + 1 77.665 * * [simplify]: Extracting #4: cost 40 inf + 1 77.665 * * [simplify]: Extracting #5: cost 42 inf + 124 77.665 * * [simplify]: Extracting #6: cost 37 inf + 1316 77.665 * * [simplify]: Extracting #7: cost 26 inf + 3053 77.666 * * [simplify]: Extracting #8: cost 13 inf + 6890 77.668 * * [simplify]: Extracting #9: cost 1 inf + 12074 77.671 * * [simplify]: Extracting #10: cost 0 inf + 12699 77.673 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 77.673 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 77.674 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 77.674 * * [simplify]: iters left: 6 (17 enodes) 77.678 * * [simplify]: iters left: 5 (58 enodes) 77.692 * * [simplify]: iters left: 4 (74 enodes) 77.714 * * [simplify]: iters left: 3 (95 enodes) 77.741 * * [simplify]: iters left: 2 (101 enodes) 77.769 * * [simplify]: iters left: 1 (109 enodes) 77.797 * * [simplify]: Extracting #0: cost 1 inf + 0 77.797 * * [simplify]: Extracting #1: cost 8 inf + 0 77.797 * * [simplify]: Extracting #2: cost 17 inf + 0 77.797 * * [simplify]: Extracting #3: cost 34 inf + 0 77.797 * * [simplify]: Extracting #4: cost 43 inf + 486 77.798 * * [simplify]: Extracting #5: cost 35 inf + 834 77.799 * * [simplify]: Extracting #6: cost 11 inf + 8279 77.801 * * [simplify]: Extracting #7: cost 0 inf + 12694 77.803 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 77.803 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt 1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 77.803 * * * * [progress]: [ 179 / 2703 ] simplifiying candidate # 77.803 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 77.803 * * [simplify]: iters left: 6 (20 enodes) 77.808 * * [simplify]: iters left: 5 (71 enodes) 77.819 * * [simplify]: iters left: 4 (94 enodes) 77.841 * * [simplify]: iters left: 3 (142 enodes) 77.874 * * [simplify]: iters left: 2 (163 enodes) 77.907 * * [simplify]: iters left: 1 (199 enodes) 77.970 * * [simplify]: Extracting #0: cost 1 inf + 0 77.970 * * [simplify]: Extracting #1: cost 11 inf + 0 77.970 * * [simplify]: Extracting #2: cost 20 inf + 1 77.970 * * [simplify]: Extracting #3: cost 36 inf + 1 77.971 * * [simplify]: Extracting #4: cost 53 inf + 1 77.971 * * [simplify]: Extracting #5: cost 57 inf + 63 77.972 * * [simplify]: Extracting #6: cost 41 inf + 1924 77.974 * * [simplify]: Extracting #7: cost 15 inf + 9937 77.980 * * [simplify]: Extracting #8: cost 2 inf + 16206 77.987 * * [simplify]: Extracting #9: cost 0 inf + 17495 77.993 * [simplify]: Simplified to (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 77.993 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 77.994 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 77.994 * * [simplify]: iters left: 6 (18 enodes) 78.002 * * [simplify]: iters left: 5 (61 enodes) 78.012 * * [simplify]: iters left: 4 (78 enodes) 78.024 * * [simplify]: iters left: 3 (101 enodes) 78.051 * * [simplify]: iters left: 2 (107 enodes) 78.067 * * [simplify]: iters left: 1 (115 enodes) 78.082 * * [simplify]: Extracting #0: cost 1 inf + 0 78.082 * * [simplify]: Extracting #1: cost 8 inf + 0 78.082 * * [simplify]: Extracting #2: cost 17 inf + 0 78.082 * * [simplify]: Extracting #3: cost 34 inf + 0 78.082 * * [simplify]: Extracting #4: cost 44 inf + 445 78.082 * * [simplify]: Extracting #5: cost 43 inf + 971 78.083 * * [simplify]: Extracting #6: cost 34 inf + 2084 78.084 * * [simplify]: Extracting #7: cost 16 inf + 6587 78.086 * * [simplify]: Extracting #8: cost 2 inf + 13077 78.090 * * [simplify]: Extracting #9: cost 0 inf + 13984 78.096 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 78.096 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 78.096 * * * * [progress]: [ 180 / 2703 ] simplifiying candidate # 78.097 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 1)) 78.097 * * [simplify]: iters left: 6 (19 enodes) 78.107 * * [simplify]: iters left: 5 (64 enodes) 78.117 * * [simplify]: iters left: 4 (82 enodes) 78.133 * * [simplify]: iters left: 3 (105 enodes) 78.163 * * [simplify]: iters left: 2 (112 enodes) 78.191 * * [simplify]: iters left: 1 (120 enodes) 78.219 * * [simplify]: Extracting #0: cost 1 inf + 0 78.219 * * [simplify]: Extracting #1: cost 5 inf + 0 78.219 * * [simplify]: Extracting #2: cost 7 inf + 1 78.219 * * [simplify]: Extracting #3: cost 22 inf + 1 78.219 * * [simplify]: Extracting #4: cost 38 inf + 1 78.219 * * [simplify]: Extracting #5: cost 40 inf + 124 78.219 * * [simplify]: Extracting #6: cost 35 inf + 1316 78.220 * * [simplify]: Extracting #7: cost 24 inf + 2832 78.221 * * [simplify]: Extracting #8: cost 10 inf + 6770 78.225 * * [simplify]: Extracting #9: cost 0 inf + 11449 78.228 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 78.228 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 78.229 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 78.229 * * [simplify]: iters left: 6 (17 enodes) 78.237 * * [simplify]: iters left: 5 (58 enodes) 78.254 * * [simplify]: iters left: 4 (74 enodes) 78.275 * * [simplify]: iters left: 3 (95 enodes) 78.301 * * [simplify]: iters left: 2 (101 enodes) 78.315 * * [simplify]: iters left: 1 (109 enodes) 78.329 * * [simplify]: Extracting #0: cost 1 inf + 0 78.329 * * [simplify]: Extracting #1: cost 8 inf + 0 78.329 * * [simplify]: Extracting #2: cost 17 inf + 0 78.329 * * [simplify]: Extracting #3: cost 34 inf + 0 78.329 * * [simplify]: Extracting #4: cost 43 inf + 486 78.329 * * [simplify]: Extracting #5: cost 35 inf + 834 78.330 * * [simplify]: Extracting #6: cost 11 inf + 8279 78.332 * * [simplify]: Extracting #7: cost 0 inf + 12694 78.335 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 78.335 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 1)) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 78.335 * * * * [progress]: [ 181 / 2703 ] simplifiying candidate # 78.335 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 1) 78.336 * * [simplify]: iters left: 6 (18 enodes) 78.346 * * [simplify]: iters left: 5 (61 enodes) 78.367 * * [simplify]: iters left: 4 (83 enodes) 78.385 * * [simplify]: iters left: 3 (103 enodes) 78.399 * * [simplify]: iters left: 2 (109 enodes) 78.421 * * [simplify]: iters left: 1 (117 enodes) 78.451 * * [simplify]: Extracting #0: cost 1 inf + 0 78.451 * * [simplify]: Extracting #1: cost 5 inf + 0 78.451 * * [simplify]: Extracting #2: cost 7 inf + 1 78.451 * * [simplify]: Extracting #3: cost 22 inf + 1 78.451 * * [simplify]: Extracting #4: cost 38 inf + 1 78.451 * * [simplify]: Extracting #5: cost 40 inf + 124 78.452 * * [simplify]: Extracting #6: cost 37 inf + 973 78.452 * * [simplify]: Extracting #7: cost 25 inf + 2610 78.453 * * [simplify]: Extracting #8: cost 8 inf + 7738 78.455 * * [simplify]: Extracting #9: cost 0 inf + 11449 78.457 * [simplify]: Simplified to (* (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 78.457 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 78.457 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 78.457 * * [simplify]: iters left: 6 (17 enodes) 78.463 * * [simplify]: iters left: 5 (58 enodes) 78.472 * * [simplify]: iters left: 4 (74 enodes) 78.484 * * [simplify]: iters left: 3 (95 enodes) 78.511 * * [simplify]: iters left: 2 (101 enodes) 78.537 * * [simplify]: iters left: 1 (109 enodes) 78.566 * * [simplify]: Extracting #0: cost 1 inf + 0 78.566 * * [simplify]: Extracting #1: cost 8 inf + 0 78.566 * * [simplify]: Extracting #2: cost 17 inf + 0 78.566 * * [simplify]: Extracting #3: cost 34 inf + 0 78.566 * * [simplify]: Extracting #4: cost 43 inf + 486 78.567 * * [simplify]: Extracting #5: cost 35 inf + 834 78.569 * * [simplify]: Extracting #6: cost 11 inf + 8279 78.572 * * [simplify]: Extracting #7: cost 0 inf + 12694 78.576 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 78.576 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 78.577 * * * * [progress]: [ 182 / 2703 ] simplifiying candidate # 78.577 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2))) 78.577 * * [simplify]: iters left: 6 (17 enodes) 78.586 * * [simplify]: iters left: 5 (58 enodes) 78.596 * * [simplify]: iters left: 4 (74 enodes) 78.607 * * [simplify]: iters left: 3 (96 enodes) 78.631 * * [simplify]: iters left: 2 (102 enodes) 78.646 * * [simplify]: iters left: 1 (110 enodes) 78.661 * * [simplify]: Extracting #0: cost 1 inf + 0 78.661 * * [simplify]: Extracting #1: cost 7 inf + 0 78.661 * * [simplify]: Extracting #2: cost 14 inf + 0 78.661 * * [simplify]: Extracting #3: cost 30 inf + 0 78.661 * * [simplify]: Extracting #4: cost 38 inf + 486 78.661 * * [simplify]: Extracting #5: cost 35 inf + 1294 78.662 * * [simplify]: Extracting #6: cost 34 inf + 2524 78.662 * * [simplify]: Extracting #7: cost 27 inf + 3093 78.664 * * [simplify]: Extracting #8: cost 10 inf + 9147 78.668 * * [simplify]: Extracting #9: cost 1 inf + 13278 78.673 * * [simplify]: Extracting #10: cost 0 inf + 13862 78.677 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 78.677 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 78.678 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 78.678 * * [simplify]: iters left: 6 (18 enodes) 78.687 * * [simplify]: iters left: 5 (63 enodes) 78.699 * * [simplify]: iters left: 4 (78 enodes) 78.712 * * [simplify]: iters left: 3 (105 enodes) 78.737 * * [simplify]: iters left: 2 (113 enodes) 78.754 * * [simplify]: iters left: 1 (126 enodes) 78.771 * * [simplify]: Extracting #0: cost 1 inf + 0 78.771 * * [simplify]: Extracting #1: cost 8 inf + 0 78.771 * * [simplify]: Extracting #2: cost 13 inf + 1 78.771 * * [simplify]: Extracting #3: cost 30 inf + 1 78.771 * * [simplify]: Extracting #4: cost 48 inf + 1 78.771 * * [simplify]: Extracting #5: cost 43 inf + 188 78.772 * * [simplify]: Extracting #6: cost 19 inf + 5321 78.774 * * [simplify]: Extracting #7: cost 1 inf + 11695 78.778 * * [simplify]: Extracting #8: cost 0 inf + 12058 78.782 * [simplify]: Simplified to (* (cbrt (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (+ (* a2 a2) (* a1 a1)))) 78.782 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2))) (* (cbrt (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 78.783 * * * * [progress]: [ 183 / 2703 ] simplifiying candidate # 78.783 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 78.783 * * [simplify]: iters left: 6 (23 enodes) 78.798 * * [simplify]: iters left: 5 (95 enodes) 78.834 * * [simplify]: iters left: 4 (173 enodes) 78.873 * * [simplify]: iters left: 3 (307 enodes) 78.965 * * [simplify]: Extracting #0: cost 1 inf + 0 78.965 * * [simplify]: Extracting #1: cost 16 inf + 0 78.965 * * [simplify]: Extracting #2: cost 31 inf + 0 78.965 * * [simplify]: Extracting #3: cost 46 inf + 0 78.966 * * [simplify]: Extracting #4: cost 84 inf + 365 78.967 * * [simplify]: Extracting #5: cost 123 inf + 1561 78.968 * * [simplify]: Extracting #6: cost 104 inf + 5855 78.974 * * [simplify]: Extracting #7: cost 35 inf + 28178 78.986 * * [simplify]: Extracting #8: cost 4 inf + 44306 78.999 * * [simplify]: Extracting #9: cost 0 inf + 45650 79.006 * * [simplify]: Extracting #10: cost 0 inf + 45519 79.013 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (sqrt 2)) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 79.013 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (sqrt 2)) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 79.013 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 79.016 * * [simplify]: iters left: 6 (22 enodes) 79.022 * * [simplify]: iters left: 5 (93 enodes) 79.050 * * [simplify]: iters left: 4 (172 enodes) 79.113 * * [simplify]: iters left: 3 (305 enodes) 79.194 * * [simplify]: iters left: 2 (441 enodes) 79.372 * * [simplify]: Extracting #0: cost 1 inf + 0 79.372 * * [simplify]: Extracting #1: cost 4 inf + 0 79.372 * * [simplify]: Extracting #2: cost 8 inf + 0 79.372 * * [simplify]: Extracting #3: cost 42 inf + 0 79.373 * * [simplify]: Extracting #4: cost 183 inf + 0 79.375 * * [simplify]: Extracting #5: cost 251 inf + 249 79.380 * * [simplify]: Extracting #6: cost 154 inf + 16383 79.396 * * [simplify]: Extracting #7: cost 11 inf + 42172 79.414 * * [simplify]: Extracting #8: cost 1 inf + 44545 79.431 * * [simplify]: Extracting #9: cost 0 inf + 45289 79.449 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) 79.449 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (sqrt 2)) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))))) 79.449 * * * * [progress]: [ 184 / 2703 ] simplifiying candidate # 79.450 * [simplify]: Simplifying (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 79.450 * * [simplify]: iters left: 6 (22 enodes) 79.462 * * [simplify]: iters left: 5 (87 enodes) 79.487 * * [simplify]: iters left: 4 (139 enodes) 79.511 * * [simplify]: iters left: 3 (232 enodes) 79.570 * * [simplify]: iters left: 2 (404 enodes) 79.774 * * [simplify]: Extracting #0: cost 1 inf + 0 79.775 * * [simplify]: Extracting #1: cost 16 inf + 0 79.775 * * [simplify]: Extracting #2: cost 32 inf + 0 79.775 * * [simplify]: Extracting #3: cost 95 inf + 0 79.776 * * [simplify]: Extracting #4: cost 202 inf + 365 79.780 * * [simplify]: Extracting #5: cost 220 inf + 9440 79.793 * * [simplify]: Extracting #6: cost 92 inf + 35071 79.811 * * [simplify]: Extracting #7: cost 7 inf + 57520 79.823 * * [simplify]: Extracting #8: cost 0 inf + 59867 79.835 * [simplify]: Simplified to (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (cbrt (sqrt 2)) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 79.835 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (cbrt (sqrt 2)) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 79.835 * [simplify]: Simplifying (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))) 79.835 * * [simplify]: iters left: 6 (18 enodes) 79.840 * * [simplify]: iters left: 5 (64 enodes) 79.858 * * [simplify]: iters left: 4 (89 enodes) 79.885 * * [simplify]: iters left: 3 (125 enodes) 79.927 * * [simplify]: iters left: 2 (172 enodes) 79.975 * * [simplify]: iters left: 1 (263 enodes) 80.024 * * [simplify]: Extracting #0: cost 1 inf + 0 80.024 * * [simplify]: Extracting #1: cost 4 inf + 0 80.024 * * [simplify]: Extracting #2: cost 8 inf + 0 80.025 * * [simplify]: Extracting #3: cost 43 inf + 0 80.025 * * [simplify]: Extracting #4: cost 93 inf + 0 80.025 * * [simplify]: Extracting #5: cost 90 inf + 248 80.026 * * [simplify]: Extracting #6: cost 47 inf + 5268 80.029 * * [simplify]: Extracting #7: cost 4 inf + 14425 80.032 * * [simplify]: Extracting #8: cost 0 inf + 16219 80.036 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (sqrt (- (* a1 a1) (* a2 a2)))) 80.036 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 80.036 * * * * [progress]: [ 185 / 2703 ] simplifiying candidate # 80.036 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 80.037 * * [simplify]: iters left: 6 (19 enodes) 80.044 * * [simplify]: iters left: 5 (64 enodes) 80.064 * * [simplify]: iters left: 4 (77 enodes) 80.087 * * [simplify]: iters left: 3 (94 enodes) 80.115 * * [simplify]: iters left: 2 (100 enodes) 80.141 * * [simplify]: iters left: 1 (108 enodes) 80.172 * * [simplify]: Extracting #0: cost 1 inf + 0 80.172 * * [simplify]: Extracting #1: cost 6 inf + 0 80.172 * * [simplify]: Extracting #2: cost 12 inf + 0 80.172 * * [simplify]: Extracting #3: cost 27 inf + 0 80.172 * * [simplify]: Extracting #4: cost 42 inf + 0 80.172 * * [simplify]: Extracting #5: cost 45 inf + 62 80.173 * * [simplify]: Extracting #6: cost 38 inf + 1577 80.174 * * [simplify]: Extracting #7: cost 27 inf + 3093 80.176 * * [simplify]: Extracting #8: cost 9 inf + 8465 80.180 * * [simplify]: Extracting #9: cost 0 inf + 13458 80.184 * [simplify]: Simplified to (/ (/ (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 80.184 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 80.185 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 80.185 * * [simplify]: iters left: 6 (18 enodes) 80.194 * * [simplify]: iters left: 5 (59 enodes) 80.212 * * [simplify]: iters left: 4 (70 enodes) 80.233 * * [simplify]: iters left: 3 (87 enodes) 80.255 * * [simplify]: iters left: 2 (93 enodes) 80.267 * * [simplify]: iters left: 1 (101 enodes) 80.282 * * [simplify]: Extracting #0: cost 1 inf + 0 80.282 * * [simplify]: Extracting #1: cost 4 inf + 0 80.282 * * [simplify]: Extracting #2: cost 8 inf + 0 80.282 * * [simplify]: Extracting #3: cost 23 inf + 0 80.282 * * [simplify]: Extracting #4: cost 38 inf + 0 80.282 * * [simplify]: Extracting #5: cost 41 inf + 62 80.283 * * [simplify]: Extracting #6: cost 38 inf + 710 80.284 * * [simplify]: Extracting #7: cost 24 inf + 3052 80.285 * * [simplify]: Extracting #8: cost 7 inf + 7960 80.288 * * [simplify]: Extracting #9: cost 1 inf + 10500 80.292 * * [simplify]: Extracting #10: cost 0 inf + 11164 80.295 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 80.295 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 80.296 * * * * [progress]: [ 186 / 2703 ] simplifiying candidate # 80.296 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 80.296 * * [simplify]: iters left: 6 (18 enodes) 80.304 * * [simplify]: iters left: 5 (59 enodes) 80.322 * * [simplify]: iters left: 4 (70 enodes) 80.342 * * [simplify]: iters left: 3 (87 enodes) 80.368 * * [simplify]: iters left: 2 (93 enodes) 80.392 * * [simplify]: iters left: 1 (101 enodes) 80.419 * * [simplify]: Extracting #0: cost 1 inf + 0 80.419 * * [simplify]: Extracting #1: cost 4 inf + 0 80.419 * * [simplify]: Extracting #2: cost 8 inf + 0 80.419 * * [simplify]: Extracting #3: cost 23 inf + 0 80.420 * * [simplify]: Extracting #4: cost 38 inf + 0 80.420 * * [simplify]: Extracting #5: cost 41 inf + 62 80.420 * * [simplify]: Extracting #6: cost 38 inf + 710 80.421 * * [simplify]: Extracting #7: cost 24 inf + 3052 80.425 * * [simplify]: Extracting #8: cost 7 inf + 7920 80.428 * * [simplify]: Extracting #9: cost 1 inf + 10380 80.431 * * [simplify]: Extracting #10: cost 0 inf + 11004 80.435 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 80.435 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 80.435 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 80.436 * * [simplify]: iters left: 6 (18 enodes) 80.441 * * [simplify]: iters left: 5 (59 enodes) 80.451 * * [simplify]: iters left: 4 (70 enodes) 80.464 * * [simplify]: iters left: 3 (87 enodes) 80.482 * * [simplify]: iters left: 2 (93 enodes) 80.495 * * [simplify]: iters left: 1 (101 enodes) 80.511 * * [simplify]: Extracting #0: cost 1 inf + 0 80.511 * * [simplify]: Extracting #1: cost 4 inf + 0 80.511 * * [simplify]: Extracting #2: cost 8 inf + 0 80.511 * * [simplify]: Extracting #3: cost 23 inf + 0 80.512 * * [simplify]: Extracting #4: cost 38 inf + 0 80.512 * * [simplify]: Extracting #5: cost 41 inf + 62 80.512 * * [simplify]: Extracting #6: cost 38 inf + 710 80.513 * * [simplify]: Extracting #7: cost 24 inf + 3052 80.515 * * [simplify]: Extracting #8: cost 7 inf + 7920 80.518 * * [simplify]: Extracting #9: cost 1 inf + 10380 80.521 * * [simplify]: Extracting #10: cost 0 inf + 11004 80.524 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 80.524 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 80.525 * * * * [progress]: [ 187 / 2703 ] simplifiying candidate # 80.525 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 80.525 * * [simplify]: iters left: 6 (20 enodes) 80.536 * * [simplify]: iters left: 5 (69 enodes) 80.558 * * [simplify]: iters left: 4 (92 enodes) 80.577 * * [simplify]: iters left: 3 (123 enodes) 80.596 * * [simplify]: iters left: 2 (137 enodes) 80.628 * * [simplify]: iters left: 1 (151 enodes) 80.650 * * [simplify]: Extracting #0: cost 1 inf + 0 80.650 * * [simplify]: Extracting #1: cost 14 inf + 0 80.650 * * [simplify]: Extracting #2: cost 29 inf + 0 80.650 * * [simplify]: Extracting #3: cost 45 inf + 0 80.650 * * [simplify]: Extracting #4: cost 61 inf + 0 80.651 * * [simplify]: Extracting #5: cost 65 inf + 62 80.651 * * [simplify]: Extracting #6: cost 48 inf + 1802 80.652 * * [simplify]: Extracting #7: cost 23 inf + 9528 80.655 * * [simplify]: Extracting #8: cost 7 inf + 18124 80.658 * * [simplify]: Extracting #9: cost 0 inf + 22748 80.662 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) 80.662 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 80.663 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 80.663 * * [simplify]: iters left: 6 (19 enodes) 80.673 * * [simplify]: iters left: 5 (64 enodes) 80.693 * * [simplify]: iters left: 4 (81 enodes) 80.717 * * [simplify]: iters left: 3 (104 enodes) 80.737 * * [simplify]: iters left: 2 (110 enodes) 80.756 * * [simplify]: iters left: 1 (118 enodes) 80.781 * * [simplify]: Extracting #0: cost 1 inf + 0 80.782 * * [simplify]: Extracting #1: cost 8 inf + 0 80.782 * * [simplify]: Extracting #2: cost 17 inf + 0 80.782 * * [simplify]: Extracting #3: cost 34 inf + 0 80.782 * * [simplify]: Extracting #4: cost 51 inf + 0 80.782 * * [simplify]: Extracting #5: cost 44 inf + 1011 80.782 * * [simplify]: Extracting #6: cost 31 inf + 3051 80.783 * * [simplify]: Extracting #7: cost 16 inf + 7151 80.785 * * [simplify]: Extracting #8: cost 2 inf + 13378 80.787 * * [simplify]: Extracting #9: cost 0 inf + 14866 80.790 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))) 80.790 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 80.790 * * * * [progress]: [ 188 / 2703 ] simplifiying candidate # 80.790 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 80.790 * * [simplify]: iters left: 6 (21 enodes) 80.795 * * [simplify]: iters left: 5 (71 enodes) 80.807 * * [simplify]: iters left: 4 (88 enodes) 80.821 * * [simplify]: iters left: 3 (111 enodes) 80.842 * * [simplify]: iters left: 2 (117 enodes) 80.875 * * [simplify]: iters left: 1 (125 enodes) 80.898 * * [simplify]: Extracting #0: cost 1 inf + 0 80.898 * * [simplify]: Extracting #1: cost 8 inf + 0 80.898 * * [simplify]: Extracting #2: cost 18 inf + 0 80.898 * * [simplify]: Extracting #3: cost 36 inf + 0 80.898 * * [simplify]: Extracting #4: cost 53 inf + 0 80.898 * * [simplify]: Extracting #5: cost 57 inf + 62 80.898 * * [simplify]: Extracting #6: cost 40 inf + 1943 80.899 * * [simplify]: Extracting #7: cost 18 inf + 8178 80.902 * * [simplify]: Extracting #8: cost 3 inf + 14786 80.904 * * [simplify]: Extracting #9: cost 0 inf + 16074 80.907 * [simplify]: Simplified to (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 80.907 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 80.907 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 80.907 * * [simplify]: iters left: 6 (20 enodes) 80.912 * * [simplify]: iters left: 5 (67 enodes) 80.922 * * [simplify]: iters left: 4 (84 enodes) 80.948 * * [simplify]: iters left: 3 (107 enodes) 80.980 * * [simplify]: iters left: 2 (113 enodes) 80.996 * * [simplify]: iters left: 1 (121 enodes) 81.012 * * [simplify]: Extracting #0: cost 1 inf + 0 81.012 * * [simplify]: Extracting #1: cost 8 inf + 0 81.012 * * [simplify]: Extracting #2: cost 17 inf + 0 81.012 * * [simplify]: Extracting #3: cost 35 inf + 0 81.013 * * [simplify]: Extracting #4: cost 53 inf + 0 81.013 * * [simplify]: Extracting #5: cost 46 inf + 1172 81.013 * * [simplify]: Extracting #6: cost 32 inf + 3454 81.014 * * [simplify]: Extracting #7: cost 15 inf + 8461 81.016 * * [simplify]: Extracting #8: cost 7 inf + 11326 81.018 * * [simplify]: Extracting #9: cost 1 inf + 14947 81.020 * * [simplify]: Extracting #10: cost 0 inf + 15430 81.022 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) 81.022 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))))) 81.023 * * * * [progress]: [ 189 / 2703 ] simplifiying candidate # 81.023 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 81.023 * * [simplify]: iters left: 6 (19 enodes) 81.027 * * [simplify]: iters left: 5 (64 enodes) 81.037 * * [simplify]: iters left: 4 (81 enodes) 81.052 * * [simplify]: iters left: 3 (104 enodes) 81.084 * * [simplify]: iters left: 2 (110 enodes) 81.113 * * [simplify]: iters left: 1 (118 enodes) 81.137 * * [simplify]: Extracting #0: cost 1 inf + 0 81.137 * * [simplify]: Extracting #1: cost 8 inf + 0 81.137 * * [simplify]: Extracting #2: cost 17 inf + 0 81.137 * * [simplify]: Extracting #3: cost 33 inf + 0 81.137 * * [simplify]: Extracting #4: cost 49 inf + 0 81.137 * * [simplify]: Extracting #5: cost 52 inf + 123 81.138 * * [simplify]: Extracting #6: cost 32 inf + 2970 81.139 * * [simplify]: Extracting #7: cost 16 inf + 7191 81.141 * * [simplify]: Extracting #8: cost 2 inf + 13298 81.143 * * [simplify]: Extracting #9: cost 0 inf + 14706 81.145 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 81.145 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 81.146 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 81.146 * * [simplify]: iters left: 6 (19 enodes) 81.150 * * [simplify]: iters left: 5 (64 enodes) 81.160 * * [simplify]: iters left: 4 (81 enodes) 81.173 * * [simplify]: iters left: 3 (104 enodes) 81.201 * * [simplify]: iters left: 2 (110 enodes) 81.216 * * [simplify]: iters left: 1 (118 enodes) 81.233 * * [simplify]: Extracting #0: cost 1 inf + 0 81.233 * * [simplify]: Extracting #1: cost 8 inf + 0 81.233 * * [simplify]: Extracting #2: cost 17 inf + 0 81.233 * * [simplify]: Extracting #3: cost 34 inf + 0 81.233 * * [simplify]: Extracting #4: cost 51 inf + 0 81.234 * * [simplify]: Extracting #5: cost 44 inf + 1011 81.234 * * [simplify]: Extracting #6: cost 31 inf + 3051 81.236 * * [simplify]: Extracting #7: cost 16 inf + 7111 81.240 * * [simplify]: Extracting #8: cost 2 inf + 13138 81.244 * * [simplify]: Extracting #9: cost 0 inf + 14546 81.249 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))) 81.249 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 81.249 * * * * [progress]: [ 190 / 2703 ] simplifiying candidate # 81.250 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 81.250 * * [simplify]: iters left: 6 (20 enodes) 81.260 * * [simplify]: iters left: 5 (69 enodes) 81.272 * * [simplify]: iters left: 4 (83 enodes) 81.286 * * [simplify]: iters left: 3 (108 enodes) 81.305 * * [simplify]: iters left: 2 (116 enodes) 81.333 * * [simplify]: iters left: 1 (124 enodes) 81.364 * * [simplify]: Extracting #0: cost 1 inf + 0 81.364 * * [simplify]: Extracting #1: cost 5 inf + 0 81.364 * * [simplify]: Extracting #2: cost 8 inf + 1 81.364 * * [simplify]: Extracting #3: cost 23 inf + 1 81.364 * * [simplify]: Extracting #4: cost 38 inf + 1 81.364 * * [simplify]: Extracting #5: cost 41 inf + 63 81.365 * * [simplify]: Extracting #6: cost 36 inf + 993 81.366 * * [simplify]: Extracting #7: cost 22 inf + 3354 81.368 * * [simplify]: Extracting #8: cost 7 inf + 7877 81.371 * * [simplify]: Extracting #9: cost 0 inf + 10761 81.374 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 81.375 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 81.375 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 81.375 * * [simplify]: iters left: 6 (18 enodes) 81.384 * * [simplify]: iters left: 5 (61 enodes) 81.403 * * [simplify]: iters left: 4 (78 enodes) 81.429 * * [simplify]: iters left: 3 (101 enodes) 81.458 * * [simplify]: iters left: 2 (107 enodes) 81.486 * * [simplify]: iters left: 1 (115 enodes) 81.503 * * [simplify]: Extracting #0: cost 1 inf + 0 81.503 * * [simplify]: Extracting #1: cost 8 inf + 0 81.503 * * [simplify]: Extracting #2: cost 17 inf + 0 81.503 * * [simplify]: Extracting #3: cost 35 inf + 0 81.503 * * [simplify]: Extracting #4: cost 53 inf + 0 81.504 * * [simplify]: Extracting #5: cost 39 inf + 1095 81.504 * * [simplify]: Extracting #6: cost 19 inf + 5819 81.506 * * [simplify]: Extracting #7: cost 2 inf + 12955 81.508 * * [simplify]: Extracting #8: cost 0 inf + 13902 81.510 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) 81.510 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))))) 81.511 * * * * [progress]: [ 191 / 2703 ] simplifiying candidate # 81.511 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 81.511 * * [simplify]: iters left: 6 (19 enodes) 81.516 * * [simplify]: iters left: 5 (64 enodes) 81.533 * * [simplify]: iters left: 4 (81 enodes) 81.550 * * [simplify]: iters left: 3 (104 enodes) 81.565 * * [simplify]: iters left: 2 (110 enodes) 81.592 * * [simplify]: iters left: 1 (118 enodes) 81.619 * * [simplify]: Extracting #0: cost 1 inf + 0 81.619 * * [simplify]: Extracting #1: cost 8 inf + 0 81.619 * * [simplify]: Extracting #2: cost 17 inf + 0 81.620 * * [simplify]: Extracting #3: cost 33 inf + 0 81.620 * * [simplify]: Extracting #4: cost 49 inf + 0 81.620 * * [simplify]: Extracting #5: cost 52 inf + 123 81.620 * * [simplify]: Extracting #6: cost 32 inf + 2970 81.621 * * [simplify]: Extracting #7: cost 16 inf + 7191 81.623 * * [simplify]: Extracting #8: cost 2 inf + 13298 81.625 * * [simplify]: Extracting #9: cost 0 inf + 14706 81.627 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 81.627 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 81.628 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 81.628 * * [simplify]: iters left: 6 (19 enodes) 81.632 * * [simplify]: iters left: 5 (64 enodes) 81.642 * * [simplify]: iters left: 4 (81 enodes) 81.669 * * [simplify]: iters left: 3 (104 enodes) 81.687 * * [simplify]: iters left: 2 (110 enodes) 81.702 * * [simplify]: iters left: 1 (118 enodes) 81.732 * * [simplify]: Extracting #0: cost 1 inf + 0 81.732 * * [simplify]: Extracting #1: cost 8 inf + 0 81.732 * * [simplify]: Extracting #2: cost 17 inf + 0 81.732 * * [simplify]: Extracting #3: cost 34 inf + 0 81.732 * * [simplify]: Extracting #4: cost 51 inf + 0 81.733 * * [simplify]: Extracting #5: cost 44 inf + 1011 81.733 * * [simplify]: Extracting #6: cost 31 inf + 3051 81.735 * * [simplify]: Extracting #7: cost 16 inf + 7111 81.739 * * [simplify]: Extracting #8: cost 2 inf + 13138 81.743 * * [simplify]: Extracting #9: cost 0 inf + 14546 81.747 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))) 81.747 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 81.747 * * * * [progress]: [ 192 / 2703 ] simplifiying candidate # 81.747 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 81.747 * * [simplify]: iters left: 6 (19 enodes) 81.752 * * [simplify]: iters left: 5 (64 enodes) 81.764 * * [simplify]: iters left: 4 (80 enodes) 81.779 * * [simplify]: iters left: 3 (104 enodes) 81.798 * * [simplify]: iters left: 2 (112 enodes) 81.812 * * [simplify]: iters left: 1 (123 enodes) 81.837 * * [simplify]: Extracting #0: cost 1 inf + 0 81.837 * * [simplify]: Extracting #1: cost 6 inf + 0 81.837 * * [simplify]: Extracting #2: cost 10 inf + 1 81.837 * * [simplify]: Extracting #3: cost 25 inf + 1 81.837 * * [simplify]: Extracting #4: cost 40 inf + 1 81.837 * * [simplify]: Extracting #5: cost 43 inf + 63 81.838 * * [simplify]: Extracting #6: cost 39 inf + 1114 81.838 * * [simplify]: Extracting #7: cost 25 inf + 3294 81.839 * * [simplify]: Extracting #8: cost 8 inf + 8441 81.841 * * [simplify]: Extracting #9: cost 0 inf + 12169 81.843 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 81.843 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 81.843 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 81.844 * * [simplify]: iters left: 6 (18 enodes) 81.848 * * [simplify]: iters left: 5 (61 enodes) 81.860 * * [simplify]: iters left: 4 (78 enodes) 81.881 * * [simplify]: iters left: 3 (101 enodes) 81.896 * * [simplify]: iters left: 2 (107 enodes) 81.912 * * [simplify]: iters left: 1 (115 enodes) 81.942 * * [simplify]: Extracting #0: cost 1 inf + 0 81.942 * * [simplify]: Extracting #1: cost 8 inf + 0 81.942 * * [simplify]: Extracting #2: cost 17 inf + 0 81.942 * * [simplify]: Extracting #3: cost 35 inf + 0 81.943 * * [simplify]: Extracting #4: cost 53 inf + 0 81.943 * * [simplify]: Extracting #5: cost 39 inf + 1095 81.944 * * [simplify]: Extracting #6: cost 19 inf + 5819 81.948 * * [simplify]: Extracting #7: cost 2 inf + 12955 81.952 * * [simplify]: Extracting #8: cost 0 inf + 13902 81.956 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) 81.957 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))))) 81.957 * * * * [progress]: [ 193 / 2703 ] simplifiying candidate # 81.957 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 81.957 * * [simplify]: iters left: 6 (23 enodes) 81.968 * * [simplify]: iters left: 5 (79 enodes) 81.996 * * [simplify]: iters left: 4 (102 enodes) 82.027 * * [simplify]: iters left: 3 (133 enodes) 82.050 * * [simplify]: iters left: 2 (147 enodes) 82.076 * * [simplify]: iters left: 1 (161 enodes) 82.120 * * [simplify]: Extracting #0: cost 1 inf + 0 82.120 * * [simplify]: Extracting #1: cost 14 inf + 0 82.121 * * [simplify]: Extracting #2: cost 29 inf + 0 82.121 * * [simplify]: Extracting #3: cost 48 inf + 0 82.121 * * [simplify]: Extracting #4: cost 68 inf + 0 82.122 * * [simplify]: Extracting #5: cost 61 inf + 1112 82.123 * * [simplify]: Extracting #6: cost 45 inf + 3354 82.124 * * [simplify]: Extracting #7: cost 33 inf + 6423 82.129 * * [simplify]: Extracting #8: cost 10 inf + 16577 82.136 * * [simplify]: Extracting #9: cost 2 inf + 22567 82.144 * * [simplify]: Extracting #10: cost 0 inf + 23954 82.152 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (fabs (cbrt 2)))) 82.152 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (fabs (cbrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 82.153 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 82.153 * * [simplify]: iters left: 6 (21 enodes) 82.163 * * [simplify]: iters left: 5 (70 enodes) 82.184 * * [simplify]: iters left: 4 (87 enodes) 82.211 * * [simplify]: iters left: 3 (110 enodes) 82.243 * * [simplify]: iters left: 2 (116 enodes) 82.275 * * [simplify]: iters left: 1 (124 enodes) 82.292 * * [simplify]: Extracting #0: cost 1 inf + 0 82.292 * * [simplify]: Extracting #1: cost 8 inf + 0 82.292 * * [simplify]: Extracting #2: cost 17 inf + 0 82.292 * * [simplify]: Extracting #3: cost 35 inf + 0 82.292 * * [simplify]: Extracting #4: cost 54 inf + 0 82.293 * * [simplify]: Extracting #5: cost 50 inf + 810 82.293 * * [simplify]: Extracting #6: cost 32 inf + 3395 82.294 * * [simplify]: Extracting #7: cost 16 inf + 7515 82.296 * * [simplify]: Extracting #8: cost 8 inf + 10822 82.298 * * [simplify]: Extracting #9: cost 0 inf + 15750 82.300 * [simplify]: Simplified to (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 82.300 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 82.300 * * * * [progress]: [ 194 / 2703 ] simplifiying candidate # 82.301 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 82.301 * * [simplify]: iters left: 6 (24 enodes) 82.306 * * [simplify]: iters left: 5 (81 enodes) 82.327 * * [simplify]: iters left: 4 (98 enodes) 82.356 * * [simplify]: iters left: 3 (121 enodes) 82.393 * * [simplify]: iters left: 2 (127 enodes) 82.410 * * [simplify]: iters left: 1 (135 enodes) 82.428 * * [simplify]: Extracting #0: cost 1 inf + 0 82.429 * * [simplify]: Extracting #1: cost 8 inf + 0 82.429 * * [simplify]: Extracting #2: cost 18 inf + 0 82.429 * * [simplify]: Extracting #3: cost 39 inf + 0 82.429 * * [simplify]: Extracting #4: cost 60 inf + 0 82.429 * * [simplify]: Extracting #5: cost 52 inf + 1374 82.429 * * [simplify]: Extracting #6: cost 35 inf + 3657 82.430 * * [simplify]: Extracting #7: cost 22 inf + 7272 82.432 * * [simplify]: Extracting #8: cost 4 inf + 14747 82.435 * * [simplify]: Extracting #9: cost 0 inf + 17040 82.437 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (fabs (cbrt 2)))) 82.437 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (fabs (cbrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 82.438 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 82.438 * * [simplify]: iters left: 6 (22 enodes) 82.445 * * [simplify]: iters left: 5 (73 enodes) 82.456 * * [simplify]: iters left: 4 (90 enodes) 82.472 * * [simplify]: iters left: 3 (113 enodes) 82.488 * * [simplify]: iters left: 2 (119 enodes) 82.504 * * [simplify]: iters left: 1 (127 enodes) 82.531 * * [simplify]: Extracting #0: cost 1 inf + 0 82.531 * * [simplify]: Extracting #1: cost 8 inf + 0 82.531 * * [simplify]: Extracting #2: cost 17 inf + 0 82.532 * * [simplify]: Extracting #3: cost 36 inf + 0 82.532 * * [simplify]: Extracting #4: cost 56 inf + 0 82.532 * * [simplify]: Extracting #5: cost 49 inf + 1113 82.533 * * [simplify]: Extracting #6: cost 33 inf + 3476 82.535 * * [simplify]: Extracting #7: cost 12 inf + 9793 82.539 * * [simplify]: Extracting #8: cost 2 inf + 15167 82.544 * * [simplify]: Extracting #9: cost 0 inf + 16314 82.549 * [simplify]: Simplified to (* (/ (sqrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) 82.549 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 82.549 * * * * [progress]: [ 195 / 2703 ] simplifiying candidate # 82.550 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 82.550 * * [simplify]: iters left: 6 (22 enodes) 82.560 * * [simplify]: iters left: 5 (74 enodes) 82.585 * * [simplify]: iters left: 4 (91 enodes) 82.610 * * [simplify]: iters left: 3 (114 enodes) 82.627 * * [simplify]: iters left: 2 (120 enodes) 82.645 * * [simplify]: iters left: 1 (128 enodes) 82.679 * * [simplify]: Extracting #0: cost 1 inf + 0 82.679 * * [simplify]: Extracting #1: cost 8 inf + 0 82.679 * * [simplify]: Extracting #2: cost 17 inf + 0 82.679 * * [simplify]: Extracting #3: cost 36 inf + 0 82.680 * * [simplify]: Extracting #4: cost 56 inf + 0 82.680 * * [simplify]: Extracting #5: cost 50 inf + 951 82.681 * * [simplify]: Extracting #6: cost 31 inf + 3838 82.683 * * [simplify]: Extracting #7: cost 12 inf + 9470 82.687 * * [simplify]: Extracting #8: cost 3 inf + 14221 82.692 * * [simplify]: Extracting #9: cost 0 inf + 15672 82.699 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2))))) 82.699 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 82.699 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 82.700 * * [simplify]: iters left: 6 (21 enodes) 82.710 * * [simplify]: iters left: 5 (70 enodes) 82.732 * * [simplify]: iters left: 4 (87 enodes) 82.751 * * [simplify]: iters left: 3 (110 enodes) 82.767 * * [simplify]: iters left: 2 (116 enodes) 82.790 * * [simplify]: iters left: 1 (124 enodes) 82.825 * * [simplify]: Extracting #0: cost 1 inf + 0 82.825 * * [simplify]: Extracting #1: cost 8 inf + 0 82.825 * * [simplify]: Extracting #2: cost 17 inf + 0 82.825 * * [simplify]: Extracting #3: cost 35 inf + 0 82.826 * * [simplify]: Extracting #4: cost 54 inf + 0 82.826 * * [simplify]: Extracting #5: cost 50 inf + 810 82.826 * * [simplify]: Extracting #6: cost 32 inf + 3395 82.827 * * [simplify]: Extracting #7: cost 16 inf + 7515 82.829 * * [simplify]: Extracting #8: cost 8 inf + 10782 82.831 * * [simplify]: Extracting #9: cost 0 inf + 15430 82.833 * [simplify]: Simplified to (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 82.833 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 82.833 * * * * [progress]: [ 196 / 2703 ] simplifiying candidate # 82.834 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 82.834 * * [simplify]: iters left: 6 (23 enodes) 82.841 * * [simplify]: iters left: 5 (79 enodes) 82.853 * * [simplify]: iters left: 4 (93 enodes) 82.868 * * [simplify]: iters left: 3 (118 enodes) 82.901 * * [simplify]: iters left: 2 (126 enodes) 82.926 * * [simplify]: iters left: 1 (134 enodes) 82.943 * * [simplify]: Extracting #0: cost 1 inf + 0 82.943 * * [simplify]: Extracting #1: cost 5 inf + 0 82.943 * * [simplify]: Extracting #2: cost 8 inf + 1 82.943 * * [simplify]: Extracting #3: cost 26 inf + 1 82.943 * * [simplify]: Extracting #4: cost 45 inf + 1 82.944 * * [simplify]: Extracting #5: cost 38 inf + 992 82.944 * * [simplify]: Extracting #6: cost 29 inf + 3332 82.945 * * [simplify]: Extracting #7: cost 22 inf + 4101 82.946 * * [simplify]: Extracting #8: cost 9 inf + 8017 82.947 * * [simplify]: Extracting #9: cost 1 inf + 11244 82.949 * * [simplify]: Extracting #10: cost 0 inf + 11567 82.951 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2)))) 82.951 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 82.951 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 82.951 * * [simplify]: iters left: 6 (20 enodes) 82.956 * * [simplify]: iters left: 5 (67 enodes) 82.966 * * [simplify]: iters left: 4 (84 enodes) 82.979 * * [simplify]: iters left: 3 (107 enodes) 82.995 * * [simplify]: iters left: 2 (113 enodes) 83.012 * * [simplify]: iters left: 1 (121 enodes) 83.028 * * [simplify]: Extracting #0: cost 1 inf + 0 83.028 * * [simplify]: Extracting #1: cost 8 inf + 0 83.028 * * [simplify]: Extracting #2: cost 17 inf + 0 83.029 * * [simplify]: Extracting #3: cost 36 inf + 0 83.029 * * [simplify]: Extracting #4: cost 56 inf + 0 83.029 * * [simplify]: Extracting #5: cost 42 inf + 1216 83.030 * * [simplify]: Extracting #6: cost 12 inf + 8926 83.032 * * [simplify]: Extracting #7: cost 2 inf + 13639 83.034 * * [simplify]: Extracting #8: cost 0 inf + 14786 83.036 * [simplify]: Simplified to (/ (* (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))) 83.036 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) (/ (* (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))))) 83.036 * * * * [progress]: [ 197 / 2703 ] simplifiying candidate # 83.037 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 83.037 * * [simplify]: iters left: 6 (22 enodes) 83.043 * * [simplify]: iters left: 5 (74 enodes) 83.054 * * [simplify]: iters left: 4 (91 enodes) 83.068 * * [simplify]: iters left: 3 (114 enodes) 83.088 * * [simplify]: iters left: 2 (120 enodes) 83.108 * * [simplify]: iters left: 1 (128 enodes) 83.139 * * [simplify]: Extracting #0: cost 1 inf + 0 83.139 * * [simplify]: Extracting #1: cost 8 inf + 0 83.139 * * [simplify]: Extracting #2: cost 17 inf + 0 83.139 * * [simplify]: Extracting #3: cost 36 inf + 0 83.139 * * [simplify]: Extracting #4: cost 56 inf + 0 83.140 * * [simplify]: Extracting #5: cost 50 inf + 951 83.141 * * [simplify]: Extracting #6: cost 31 inf + 3838 83.143 * * [simplify]: Extracting #7: cost 12 inf + 9470 83.146 * * [simplify]: Extracting #8: cost 3 inf + 14221 83.150 * * [simplify]: Extracting #9: cost 0 inf + 15672 83.154 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2))))) 83.155 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 83.155 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 83.155 * * [simplify]: iters left: 6 (21 enodes) 83.164 * * [simplify]: iters left: 5 (70 enodes) 83.182 * * [simplify]: iters left: 4 (87 enodes) 83.195 * * [simplify]: iters left: 3 (110 enodes) 83.219 * * [simplify]: iters left: 2 (116 enodes) 83.251 * * [simplify]: iters left: 1 (124 enodes) 83.283 * * [simplify]: Extracting #0: cost 1 inf + 0 83.283 * * [simplify]: Extracting #1: cost 8 inf + 0 83.283 * * [simplify]: Extracting #2: cost 17 inf + 0 83.283 * * [simplify]: Extracting #3: cost 35 inf + 0 83.284 * * [simplify]: Extracting #4: cost 54 inf + 0 83.284 * * [simplify]: Extracting #5: cost 50 inf + 810 83.285 * * [simplify]: Extracting #6: cost 32 inf + 3395 83.287 * * [simplify]: Extracting #7: cost 16 inf + 7515 83.290 * * [simplify]: Extracting #8: cost 8 inf + 10782 83.294 * * [simplify]: Extracting #9: cost 0 inf + 15430 83.299 * [simplify]: Simplified to (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 83.299 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 83.299 * * * * [progress]: [ 198 / 2703 ] simplifiying candidate # 83.300 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 83.300 * * [simplify]: iters left: 6 (22 enodes) 83.310 * * [simplify]: iters left: 5 (74 enodes) 83.322 * * [simplify]: iters left: 4 (90 enodes) 83.338 * * [simplify]: iters left: 3 (114 enodes) 83.357 * * [simplify]: iters left: 2 (122 enodes) 83.390 * * [simplify]: iters left: 1 (133 enodes) 83.418 * * [simplify]: Extracting #0: cost 1 inf + 0 83.419 * * [simplify]: Extracting #1: cost 6 inf + 0 83.419 * * [simplify]: Extracting #2: cost 10 inf + 1 83.419 * * [simplify]: Extracting #3: cost 28 inf + 1 83.419 * * [simplify]: Extracting #4: cost 47 inf + 1 83.419 * * [simplify]: Extracting #5: cost 39 inf + 1073 83.419 * * [simplify]: Extracting #6: cost 30 inf + 3594 83.420 * * [simplify]: Extracting #7: cost 24 inf + 4101 83.421 * * [simplify]: Extracting #8: cost 7 inf + 8989 83.423 * * [simplify]: Extracting #9: cost 0 inf + 13055 83.425 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2)))) 83.425 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 83.426 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 83.426 * * [simplify]: iters left: 6 (20 enodes) 83.431 * * [simplify]: iters left: 5 (67 enodes) 83.444 * * [simplify]: iters left: 4 (84 enodes) 83.458 * * [simplify]: iters left: 3 (107 enodes) 83.485 * * [simplify]: iters left: 2 (113 enodes) 83.511 * * [simplify]: iters left: 1 (121 enodes) 83.544 * * [simplify]: Extracting #0: cost 1 inf + 0 83.544 * * [simplify]: Extracting #1: cost 8 inf + 0 83.545 * * [simplify]: Extracting #2: cost 17 inf + 0 83.545 * * [simplify]: Extracting #3: cost 36 inf + 0 83.545 * * [simplify]: Extracting #4: cost 56 inf + 0 83.545 * * [simplify]: Extracting #5: cost 42 inf + 1216 83.548 * * [simplify]: Extracting #6: cost 12 inf + 8926 83.552 * * [simplify]: Extracting #7: cost 2 inf + 13639 83.556 * * [simplify]: Extracting #8: cost 0 inf + 14786 83.560 * [simplify]: Simplified to (/ (* (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))) 83.561 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) (/ (* (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))))) 83.561 * * * * [progress]: [ 199 / 2703 ] simplifiying candidate # 83.561 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 83.562 * * [simplify]: iters left: 6 (21 enodes) 83.574 * * [simplify]: iters left: 5 (72 enodes) 83.585 * * [simplify]: iters left: 4 (95 enodes) 83.601 * * [simplify]: iters left: 3 (126 enodes) 83.620 * * [simplify]: iters left: 2 (140 enodes) 83.655 * * [simplify]: iters left: 1 (154 enodes) 83.698 * * [simplify]: Extracting #0: cost 1 inf + 0 83.698 * * [simplify]: Extracting #1: cost 14 inf + 0 83.698 * * [simplify]: Extracting #2: cost 29 inf + 0 83.698 * * [simplify]: Extracting #3: cost 47 inf + 0 83.699 * * [simplify]: Extracting #4: cost 65 inf + 0 83.699 * * [simplify]: Extracting #5: cost 59 inf + 790 83.700 * * [simplify]: Extracting #6: cost 41 inf + 3577 83.702 * * [simplify]: Extracting #7: cost 24 inf + 9007 83.708 * * [simplify]: Extracting #8: cost 7 inf + 17965 83.715 * * [simplify]: Extracting #9: cost 0 inf + 22430 83.722 * [simplify]: Simplified to (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 83.722 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 83.723 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 83.723 * * [simplify]: iters left: 6 (20 enodes) 83.728 * * [simplify]: iters left: 5 (67 enodes) 83.738 * * [simplify]: iters left: 4 (84 enodes) 83.751 * * [simplify]: iters left: 3 (107 enodes) 83.779 * * [simplify]: iters left: 2 (113 enodes) 83.798 * * [simplify]: iters left: 1 (121 enodes) 83.813 * * [simplify]: Extracting #0: cost 1 inf + 0 83.814 * * [simplify]: Extracting #1: cost 8 inf + 0 83.814 * * [simplify]: Extracting #2: cost 17 inf + 0 83.814 * * [simplify]: Extracting #3: cost 35 inf + 0 83.814 * * [simplify]: Extracting #4: cost 53 inf + 0 83.814 * * [simplify]: Extracting #5: cost 45 inf + 1213 83.815 * * [simplify]: Extracting #6: cost 30 inf + 3536 83.817 * * [simplify]: Extracting #7: cost 13 inf + 8623 83.821 * * [simplify]: Extracting #8: cost 1 inf + 14585 83.825 * * [simplify]: Extracting #9: cost 0 inf + 15028 83.830 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 83.830 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))))) 83.830 * * * * [progress]: [ 200 / 2703 ] simplifiying candidate # 83.831 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 83.831 * * [simplify]: iters left: 6 (22 enodes) 83.841 * * [simplify]: iters left: 5 (74 enodes) 83.862 * * [simplify]: iters left: 4 (91 enodes) 83.889 * * [simplify]: iters left: 3 (114 enodes) 83.914 * * [simplify]: iters left: 2 (120 enodes) 83.934 * * [simplify]: iters left: 1 (128 enodes) 83.966 * * [simplify]: Extracting #0: cost 1 inf + 0 83.966 * * [simplify]: Extracting #1: cost 8 inf + 0 83.967 * * [simplify]: Extracting #2: cost 18 inf + 0 83.967 * * [simplify]: Extracting #3: cost 38 inf + 0 83.967 * * [simplify]: Extracting #4: cost 57 inf + 0 83.967 * * [simplify]: Extracting #5: cost 50 inf + 911 83.968 * * [simplify]: Extracting #6: cost 35 inf + 3274 83.970 * * [simplify]: Extracting #7: cost 15 inf + 9028 83.974 * * [simplify]: Extracting #8: cost 3 inf + 14545 83.980 * * [simplify]: Extracting #9: cost 0 inf + 16076 83.984 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2))))) 83.985 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 83.985 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 83.985 * * [simplify]: iters left: 6 (21 enodes) 83.995 * * [simplify]: iters left: 5 (70 enodes) 84.015 * * [simplify]: iters left: 4 (87 enodes) 84.042 * * [simplify]: iters left: 3 (110 enodes) 84.075 * * [simplify]: iters left: 2 (116 enodes) 84.105 * * [simplify]: iters left: 1 (124 enodes) 84.134 * * [simplify]: Extracting #0: cost 1 inf + 0 84.134 * * [simplify]: Extracting #1: cost 8 inf + 0 84.134 * * [simplify]: Extracting #2: cost 17 inf + 0 84.134 * * [simplify]: Extracting #3: cost 36 inf + 0 84.135 * * [simplify]: Extracting #4: cost 55 inf + 0 84.135 * * [simplify]: Extracting #5: cost 49 inf + 891 84.135 * * [simplify]: Extracting #6: cost 33 inf + 3274 84.136 * * [simplify]: Extracting #7: cost 17 inf + 7395 84.138 * * [simplify]: Extracting #8: cost 8 inf + 10824 84.140 * * [simplify]: Extracting #9: cost 0 inf + 15592 84.142 * [simplify]: Simplified to (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 84.143 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 84.143 * * * * [progress]: [ 201 / 2703 ] simplifiying candidate # 84.143 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 84.143 * * [simplify]: iters left: 6 (20 enodes) 84.148 * * [simplify]: iters left: 5 (67 enodes) 84.159 * * [simplify]: iters left: 4 (84 enodes) 84.186 * * [simplify]: iters left: 3 (107 enodes) 84.216 * * [simplify]: iters left: 2 (113 enodes) 84.245 * * [simplify]: iters left: 1 (121 enodes) 84.277 * * [simplify]: Extracting #0: cost 1 inf + 0 84.277 * * [simplify]: Extracting #1: cost 8 inf + 0 84.277 * * [simplify]: Extracting #2: cost 17 inf + 0 84.277 * * [simplify]: Extracting #3: cost 35 inf + 0 84.278 * * [simplify]: Extracting #4: cost 53 inf + 0 84.278 * * [simplify]: Extracting #5: cost 45 inf + 1213 84.279 * * [simplify]: Extracting #6: cost 30 inf + 3536 84.281 * * [simplify]: Extracting #7: cost 13 inf + 8583 84.285 * * [simplify]: Extracting #8: cost 1 inf + 14305 84.290 * * [simplify]: Extracting #9: cost 0 inf + 14708 84.292 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 84.292 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 84.292 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 84.293 * * [simplify]: iters left: 6 (20 enodes) 84.297 * * [simplify]: iters left: 5 (67 enodes) 84.308 * * [simplify]: iters left: 4 (84 enodes) 84.322 * * [simplify]: iters left: 3 (107 enodes) 84.353 * * [simplify]: iters left: 2 (113 enodes) 84.376 * * [simplify]: iters left: 1 (121 enodes) 84.392 * * [simplify]: Extracting #0: cost 1 inf + 0 84.392 * * [simplify]: Extracting #1: cost 8 inf + 0 84.392 * * [simplify]: Extracting #2: cost 17 inf + 0 84.392 * * [simplify]: Extracting #3: cost 35 inf + 0 84.392 * * [simplify]: Extracting #4: cost 53 inf + 0 84.392 * * [simplify]: Extracting #5: cost 45 inf + 1213 84.393 * * [simplify]: Extracting #6: cost 30 inf + 3536 84.394 * * [simplify]: Extracting #7: cost 13 inf + 8583 84.396 * * [simplify]: Extracting #8: cost 1 inf + 14305 84.399 * * [simplify]: Extracting #9: cost 0 inf + 14708 84.401 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 84.401 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))))) 84.401 * * * * [progress]: [ 202 / 2703 ] simplifiying candidate # 84.401 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 84.401 * * [simplify]: iters left: 6 (21 enodes) 84.413 * * [simplify]: iters left: 5 (72 enodes) 84.436 * * [simplify]: iters left: 4 (86 enodes) 84.449 * * [simplify]: iters left: 3 (111 enodes) 84.465 * * [simplify]: iters left: 2 (119 enodes) 84.490 * * [simplify]: iters left: 1 (127 enodes) 84.521 * * [simplify]: Extracting #0: cost 1 inf + 0 84.521 * * [simplify]: Extracting #1: cost 5 inf + 0 84.521 * * [simplify]: Extracting #2: cost 8 inf + 1 84.521 * * [simplify]: Extracting #3: cost 25 inf + 1 84.521 * * [simplify]: Extracting #4: cost 42 inf + 1 84.522 * * [simplify]: Extracting #5: cost 34 inf + 913 84.522 * * [simplify]: Extracting #6: cost 26 inf + 3453 84.523 * * [simplify]: Extracting #7: cost 21 inf + 3578 84.525 * * [simplify]: Extracting #8: cost 6 inf + 7981 84.529 * * [simplify]: Extracting #9: cost 1 inf + 10179 84.532 * * [simplify]: Extracting #10: cost 0 inf + 10843 84.536 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) 84.536 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 84.536 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 84.536 * * [simplify]: iters left: 6 (19 enodes) 84.545 * * [simplify]: iters left: 5 (64 enodes) 84.567 * * [simplify]: iters left: 4 (81 enodes) 84.591 * * [simplify]: iters left: 3 (104 enodes) 84.621 * * [simplify]: iters left: 2 (110 enodes) 84.648 * * [simplify]: iters left: 1 (118 enodes) 84.679 * * [simplify]: Extracting #0: cost 1 inf + 0 84.680 * * [simplify]: Extracting #1: cost 8 inf + 0 84.680 * * [simplify]: Extracting #2: cost 17 inf + 0 84.680 * * [simplify]: Extracting #3: cost 36 inf + 0 84.680 * * [simplify]: Extracting #4: cost 55 inf + 0 84.680 * * [simplify]: Extracting #5: cost 38 inf + 1057 84.682 * * [simplify]: Extracting #6: cost 17 inf + 6425 84.686 * * [simplify]: Extracting #7: cost 0 inf + 14064 84.690 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) 84.690 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 84.690 * * * * [progress]: [ 203 / 2703 ] simplifiying candidate # 84.691 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 84.691 * * [simplify]: iters left: 6 (20 enodes) 84.702 * * [simplify]: iters left: 5 (67 enodes) 84.723 * * [simplify]: iters left: 4 (84 enodes) 84.747 * * [simplify]: iters left: 3 (107 enodes) 84.766 * * [simplify]: iters left: 2 (113 enodes) 84.781 * * [simplify]: iters left: 1 (121 enodes) 84.807 * * [simplify]: Extracting #0: cost 1 inf + 0 84.808 * * [simplify]: Extracting #1: cost 8 inf + 0 84.808 * * [simplify]: Extracting #2: cost 17 inf + 0 84.808 * * [simplify]: Extracting #3: cost 35 inf + 0 84.808 * * [simplify]: Extracting #4: cost 53 inf + 0 84.808 * * [simplify]: Extracting #5: cost 45 inf + 1213 84.809 * * [simplify]: Extracting #6: cost 30 inf + 3536 84.811 * * [simplify]: Extracting #7: cost 13 inf + 8583 84.815 * * [simplify]: Extracting #8: cost 1 inf + 14305 84.822 * * [simplify]: Extracting #9: cost 0 inf + 14708 84.826 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 84.827 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 84.827 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 84.827 * * [simplify]: iters left: 6 (20 enodes) 84.836 * * [simplify]: iters left: 5 (67 enodes) 84.857 * * [simplify]: iters left: 4 (84 enodes) 84.882 * * [simplify]: iters left: 3 (107 enodes) 84.911 * * [simplify]: iters left: 2 (113 enodes) 84.941 * * [simplify]: iters left: 1 (121 enodes) 84.974 * * [simplify]: Extracting #0: cost 1 inf + 0 84.974 * * [simplify]: Extracting #1: cost 8 inf + 0 84.974 * * [simplify]: Extracting #2: cost 17 inf + 0 84.974 * * [simplify]: Extracting #3: cost 35 inf + 0 84.975 * * [simplify]: Extracting #4: cost 53 inf + 0 84.975 * * [simplify]: Extracting #5: cost 45 inf + 1213 84.976 * * [simplify]: Extracting #6: cost 30 inf + 3536 84.978 * * [simplify]: Extracting #7: cost 13 inf + 8583 84.982 * * [simplify]: Extracting #8: cost 1 inf + 14305 84.986 * * [simplify]: Extracting #9: cost 0 inf + 14708 84.991 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 84.991 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))))) 84.991 * * * * [progress]: [ 204 / 2703 ] simplifiying candidate # 84.992 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 84.992 * * [simplify]: iters left: 6 (20 enodes) 85.001 * * [simplify]: iters left: 5 (67 enodes) 85.022 * * [simplify]: iters left: 4 (83 enodes) 85.048 * * [simplify]: iters left: 3 (107 enodes) 85.073 * * [simplify]: iters left: 2 (115 enodes) 85.088 * * [simplify]: iters left: 1 (126 enodes) 85.115 * * [simplify]: Extracting #0: cost 1 inf + 0 85.115 * * [simplify]: Extracting #1: cost 6 inf + 0 85.115 * * [simplify]: Extracting #2: cost 10 inf + 1 85.115 * * [simplify]: Extracting #3: cost 27 inf + 1 85.115 * * [simplify]: Extracting #4: cost 44 inf + 1 85.116 * * [simplify]: Extracting #5: cost 38 inf + 590 85.116 * * [simplify]: Extracting #6: cost 31 inf + 2808 85.117 * * [simplify]: Extracting #7: cost 24 inf + 3537 85.119 * * [simplify]: Extracting #8: cost 9 inf + 7980 85.123 * * [simplify]: Extracting #9: cost 0 inf + 12171 85.127 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) 85.127 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 85.127 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 85.128 * * [simplify]: iters left: 6 (19 enodes) 85.136 * * [simplify]: iters left: 5 (64 enodes) 85.155 * * [simplify]: iters left: 4 (81 enodes) 85.180 * * [simplify]: iters left: 3 (104 enodes) 85.200 * * [simplify]: iters left: 2 (110 enodes) 85.215 * * [simplify]: iters left: 1 (118 enodes) 85.243 * * [simplify]: Extracting #0: cost 1 inf + 0 85.243 * * [simplify]: Extracting #1: cost 8 inf + 0 85.244 * * [simplify]: Extracting #2: cost 17 inf + 0 85.244 * * [simplify]: Extracting #3: cost 36 inf + 0 85.244 * * [simplify]: Extracting #4: cost 55 inf + 0 85.244 * * [simplify]: Extracting #5: cost 38 inf + 1057 85.246 * * [simplify]: Extracting #6: cost 17 inf + 6425 85.249 * * [simplify]: Extracting #7: cost 0 inf + 14064 85.253 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) 85.253 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 85.254 * * * * [progress]: [ 205 / 2703 ] simplifiying candidate # 85.254 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 85.254 * * [simplify]: iters left: 6 (22 enodes) 85.264 * * [simplify]: iters left: 5 (77 enodes) 85.277 * * [simplify]: iters left: 4 (102 enodes) 85.294 * * [simplify]: iters left: 3 (131 enodes) 85.329 * * [simplify]: iters left: 2 (151 enodes) 85.355 * * [simplify]: iters left: 1 (185 enodes) 85.386 * * [simplify]: Extracting #0: cost 1 inf + 0 85.386 * * [simplify]: Extracting #1: cost 13 inf + 0 85.386 * * [simplify]: Extracting #2: cost 22 inf + 1 85.387 * * [simplify]: Extracting #3: cost 38 inf + 1 85.387 * * [simplify]: Extracting #4: cost 55 inf + 1 85.387 * * [simplify]: Extracting #5: cost 59 inf + 63 85.387 * * [simplify]: Extracting #6: cost 43 inf + 1783 85.388 * * [simplify]: Extracting #7: cost 26 inf + 5904 85.390 * * [simplify]: Extracting #8: cost 13 inf + 10967 85.393 * * [simplify]: Extracting #9: cost 3 inf + 15623 85.398 * * [simplify]: Extracting #10: cost 0 inf + 17275 85.405 * [simplify]: Simplified to (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 85.405 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 85.406 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 85.406 * * [simplify]: iters left: 6 (18 enodes) 85.415 * * [simplify]: iters left: 5 (61 enodes) 85.434 * * [simplify]: iters left: 4 (78 enodes) 85.457 * * [simplify]: iters left: 3 (101 enodes) 85.472 * * [simplify]: iters left: 2 (107 enodes) 85.486 * * [simplify]: iters left: 1 (115 enodes) 85.511 * * [simplify]: Extracting #0: cost 1 inf + 0 85.511 * * [simplify]: Extracting #1: cost 8 inf + 0 85.511 * * [simplify]: Extracting #2: cost 17 inf + 0 85.512 * * [simplify]: Extracting #3: cost 34 inf + 0 85.512 * * [simplify]: Extracting #4: cost 44 inf + 445 85.512 * * [simplify]: Extracting #5: cost 43 inf + 971 85.513 * * [simplify]: Extracting #6: cost 34 inf + 2084 85.514 * * [simplify]: Extracting #7: cost 16 inf + 6627 85.518 * * [simplify]: Extracting #8: cost 2 inf + 13117 85.522 * * [simplify]: Extracting #9: cost 0 inf + 13984 85.526 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 85.526 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 85.527 * * * * [progress]: [ 206 / 2703 ] simplifiying candidate # 85.527 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 85.527 * * [simplify]: iters left: 6 (23 enodes) 85.538 * * [simplify]: iters left: 5 (79 enodes) 85.560 * * [simplify]: iters left: 4 (98 enodes) 85.575 * * [simplify]: iters left: 3 (117 enodes) 85.593 * * [simplify]: iters left: 2 (134 enodes) 85.623 * * [simplify]: iters left: 1 (154 enodes) 85.644 * * [simplify]: Extracting #0: cost 1 inf + 0 85.644 * * [simplify]: Extracting #1: cost 7 inf + 0 85.644 * * [simplify]: Extracting #2: cost 13 inf + 1 85.644 * * [simplify]: Extracting #3: cost 31 inf + 1 85.644 * * [simplify]: Extracting #4: cost 49 inf + 1 85.644 * * [simplify]: Extracting #5: cost 53 inf + 63 85.645 * * [simplify]: Extracting #6: cost 34 inf + 2529 85.646 * * [simplify]: Extracting #7: cost 17 inf + 6529 85.648 * * [simplify]: Extracting #8: cost 3 inf + 11895 85.650 * * [simplify]: Extracting #9: cost 0 inf + 13387 85.653 * [simplify]: Simplified to (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 85.653 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 85.654 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 85.654 * * [simplify]: iters left: 6 (19 enodes) 85.658 * * [simplify]: iters left: 5 (64 enodes) 85.668 * * [simplify]: iters left: 4 (81 enodes) 85.681 * * [simplify]: iters left: 3 (104 enodes) 85.696 * * [simplify]: iters left: 2 (110 enodes) 85.710 * * [simplify]: iters left: 1 (118 enodes) 85.726 * * [simplify]: Extracting #0: cost 1 inf + 0 85.726 * * [simplify]: Extracting #1: cost 8 inf + 0 85.726 * * [simplify]: Extracting #2: cost 17 inf + 0 85.726 * * [simplify]: Extracting #3: cost 35 inf + 0 85.727 * * [simplify]: Extracting #4: cost 45 inf + 486 85.727 * * [simplify]: Extracting #5: cost 45 inf + 770 85.727 * * [simplify]: Extracting #6: cost 33 inf + 2649 85.728 * * [simplify]: Extracting #7: cost 16 inf + 7153 85.731 * * [simplify]: Extracting #8: cost 2 inf + 13140 85.734 * * [simplify]: Extracting #9: cost 0 inf + 14548 85.738 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))) 85.738 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))))) 85.738 * * * * [progress]: [ 207 / 2703 ] simplifiying candidate # 85.738 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 85.739 * * [simplify]: iters left: 6 (21 enodes) 85.749 * * [simplify]: iters left: 5 (72 enodes) 85.761 * * [simplify]: iters left: 4 (91 enodes) 85.775 * * [simplify]: iters left: 3 (110 enodes) 85.799 * * [simplify]: iters left: 2 (127 enodes) 85.829 * * [simplify]: iters left: 1 (147 enodes) 85.849 * * [simplify]: Extracting #0: cost 1 inf + 0 85.850 * * [simplify]: Extracting #1: cost 7 inf + 0 85.850 * * [simplify]: Extracting #2: cost 12 inf + 1 85.850 * * [simplify]: Extracting #3: cost 28 inf + 1 85.850 * * [simplify]: Extracting #4: cost 45 inf + 1 85.850 * * [simplify]: Extracting #5: cost 49 inf + 63 85.850 * * [simplify]: Extracting #6: cost 33 inf + 1703 85.851 * * [simplify]: Extracting #7: cost 13 inf + 6993 85.853 * * [simplify]: Extracting #8: cost 3 inf + 11109 85.855 * * [simplify]: Extracting #9: cost 0 inf + 12179 85.857 * [simplify]: Simplified to (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 85.857 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 85.857 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 85.858 * * [simplify]: iters left: 6 (18 enodes) 85.866 * * [simplify]: iters left: 5 (61 enodes) 85.884 * * [simplify]: iters left: 4 (78 enodes) 85.905 * * [simplify]: iters left: 3 (101 enodes) 85.920 * * [simplify]: iters left: 2 (107 enodes) 85.935 * * [simplify]: iters left: 1 (115 enodes) 85.952 * * [simplify]: Extracting #0: cost 1 inf + 0 85.952 * * [simplify]: Extracting #1: cost 8 inf + 0 85.952 * * [simplify]: Extracting #2: cost 17 inf + 0 85.952 * * [simplify]: Extracting #3: cost 34 inf + 0 85.952 * * [simplify]: Extracting #4: cost 44 inf + 445 85.952 * * [simplify]: Extracting #5: cost 43 inf + 971 85.953 * * [simplify]: Extracting #6: cost 34 inf + 2084 85.954 * * [simplify]: Extracting #7: cost 16 inf + 6547 85.956 * * [simplify]: Extracting #8: cost 2 inf + 12797 85.958 * * [simplify]: Extracting #9: cost 0 inf + 13664 85.960 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 85.960 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 85.960 * * * * [progress]: [ 208 / 2703 ] simplifiying candidate # 85.960 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt 1))) 85.960 * * [simplify]: iters left: 6 (20 enodes) 85.966 * * [simplify]: iters left: 5 (69 enodes) 85.979 * * [simplify]: iters left: 4 (83 enodes) 85.995 * * [simplify]: iters left: 3 (105 enodes) 86.023 * * [simplify]: iters left: 2 (113 enodes) 86.055 * * [simplify]: iters left: 1 (126 enodes) 86.073 * * [simplify]: Extracting #0: cost 1 inf + 0 86.073 * * [simplify]: Extracting #1: cost 5 inf + 0 86.073 * * [simplify]: Extracting #2: cost 20 inf + 1 86.073 * * [simplify]: Extracting #3: cost 36 inf + 1 86.073 * * [simplify]: Extracting #4: cost 39 inf + 63 86.073 * * [simplify]: Extracting #5: cost 37 inf + 609 86.074 * * [simplify]: Extracting #6: cost 22 inf + 2872 86.074 * * [simplify]: Extracting #7: cost 12 inf + 5458 86.076 * * [simplify]: Extracting #8: cost 2 inf + 9253 86.078 * * [simplify]: Extracting #9: cost 0 inf + 10121 86.080 * [simplify]: Simplified to (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 86.080 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 86.080 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 86.080 * * [simplify]: iters left: 6 (17 enodes) 86.084 * * [simplify]: iters left: 5 (58 enodes) 86.096 * * [simplify]: iters left: 4 (74 enodes) 86.118 * * [simplify]: iters left: 3 (95 enodes) 86.132 * * [simplify]: iters left: 2 (101 enodes) 86.147 * * [simplify]: iters left: 1 (109 enodes) 86.161 * * [simplify]: Extracting #0: cost 1 inf + 0 86.161 * * [simplify]: Extracting #1: cost 8 inf + 0 86.162 * * [simplify]: Extracting #2: cost 17 inf + 0 86.162 * * [simplify]: Extracting #3: cost 34 inf + 0 86.162 * * [simplify]: Extracting #4: cost 43 inf + 486 86.162 * * [simplify]: Extracting #5: cost 35 inf + 834 86.163 * * [simplify]: Extracting #6: cost 11 inf + 8119 86.165 * * [simplify]: Extracting #7: cost 0 inf + 12374 86.167 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 86.167 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 86.167 * * * * [progress]: [ 209 / 2703 ] simplifiying candidate # 86.167 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 86.168 * * [simplify]: iters left: 6 (21 enodes) 86.173 * * [simplify]: iters left: 5 (72 enodes) 86.185 * * [simplify]: iters left: 4 (91 enodes) 86.199 * * [simplify]: iters left: 3 (110 enodes) 86.215 * * [simplify]: iters left: 2 (127 enodes) 86.247 * * [simplify]: iters left: 1 (147 enodes) 86.278 * * [simplify]: Extracting #0: cost 1 inf + 0 86.278 * * [simplify]: Extracting #1: cost 7 inf + 0 86.278 * * [simplify]: Extracting #2: cost 12 inf + 1 86.278 * * [simplify]: Extracting #3: cost 28 inf + 1 86.278 * * [simplify]: Extracting #4: cost 45 inf + 1 86.278 * * [simplify]: Extracting #5: cost 49 inf + 63 86.278 * * [simplify]: Extracting #6: cost 33 inf + 1703 86.279 * * [simplify]: Extracting #7: cost 13 inf + 6993 86.281 * * [simplify]: Extracting #8: cost 3 inf + 11109 86.283 * * [simplify]: Extracting #9: cost 0 inf + 12179 86.285 * [simplify]: Simplified to (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 86.285 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 86.286 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 86.286 * * [simplify]: iters left: 6 (18 enodes) 86.290 * * [simplify]: iters left: 5 (61 enodes) 86.300 * * [simplify]: iters left: 4 (78 enodes) 86.312 * * [simplify]: iters left: 3 (101 enodes) 86.335 * * [simplify]: iters left: 2 (107 enodes) 86.364 * * [simplify]: iters left: 1 (115 enodes) 86.394 * * [simplify]: Extracting #0: cost 1 inf + 0 86.394 * * [simplify]: Extracting #1: cost 8 inf + 0 86.394 * * [simplify]: Extracting #2: cost 17 inf + 0 86.394 * * [simplify]: Extracting #3: cost 34 inf + 0 86.395 * * [simplify]: Extracting #4: cost 44 inf + 445 86.395 * * [simplify]: Extracting #5: cost 43 inf + 971 86.396 * * [simplify]: Extracting #6: cost 34 inf + 2084 86.397 * * [simplify]: Extracting #7: cost 16 inf + 6547 86.401 * * [simplify]: Extracting #8: cost 2 inf + 12797 86.405 * * [simplify]: Extracting #9: cost 0 inf + 13664 86.410 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 86.410 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 86.410 * * * * [progress]: [ 210 / 2703 ] simplifiying candidate # 86.410 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) 1)) 86.411 * * [simplify]: iters left: 6 (20 enodes) 86.421 * * [simplify]: iters left: 5 (67 enodes) 86.443 * * [simplify]: iters left: 4 (83 enodes) 86.468 * * [simplify]: iters left: 3 (105 enodes) 86.499 * * [simplify]: iters left: 2 (113 enodes) 86.527 * * [simplify]: iters left: 1 (126 enodes) 86.544 * * [simplify]: Extracting #0: cost 1 inf + 0 86.544 * * [simplify]: Extracting #1: cost 5 inf + 0 86.544 * * [simplify]: Extracting #2: cost 20 inf + 1 86.544 * * [simplify]: Extracting #3: cost 36 inf + 1 86.544 * * [simplify]: Extracting #4: cost 39 inf + 63 86.544 * * [simplify]: Extracting #5: cost 36 inf + 610 86.545 * * [simplify]: Extracting #6: cost 25 inf + 2749 86.546 * * [simplify]: Extracting #7: cost 11 inf + 5379 86.547 * * [simplify]: Extracting #8: cost 2 inf + 9253 86.549 * * [simplify]: Extracting #9: cost 0 inf + 10121 86.551 * [simplify]: Simplified to (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 86.551 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 86.551 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 86.551 * * [simplify]: iters left: 6 (17 enodes) 86.555 * * [simplify]: iters left: 5 (58 enodes) 86.565 * * [simplify]: iters left: 4 (74 enodes) 86.586 * * [simplify]: iters left: 3 (95 enodes) 86.615 * * [simplify]: iters left: 2 (101 enodes) 86.628 * * [simplify]: iters left: 1 (109 enodes) 86.643 * * [simplify]: Extracting #0: cost 1 inf + 0 86.643 * * [simplify]: Extracting #1: cost 8 inf + 0 86.643 * * [simplify]: Extracting #2: cost 17 inf + 0 86.644 * * [simplify]: Extracting #3: cost 34 inf + 0 86.644 * * [simplify]: Extracting #4: cost 43 inf + 486 86.644 * * [simplify]: Extracting #5: cost 35 inf + 834 86.647 * * [simplify]: Extracting #6: cost 11 inf + 8119 86.650 * * [simplify]: Extracting #7: cost 0 inf + 12374 86.655 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 86.655 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 86.655 * * * * [progress]: [ 211 / 2703 ] simplifiying candidate # 86.655 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 86.656 * * [simplify]: iters left: 6 (21 enodes) 86.666 * * [simplify]: iters left: 5 (72 enodes) 86.688 * * [simplify]: iters left: 4 (95 enodes) 86.717 * * [simplify]: iters left: 3 (126 enodes) 86.756 * * [simplify]: iters left: 2 (140 enodes) 86.788 * * [simplify]: iters left: 1 (154 enodes) 86.807 * * [simplify]: Extracting #0: cost 1 inf + 0 86.807 * * [simplify]: Extracting #1: cost 14 inf + 0 86.808 * * [simplify]: Extracting #2: cost 29 inf + 0 86.808 * * [simplify]: Extracting #3: cost 47 inf + 0 86.808 * * [simplify]: Extracting #4: cost 65 inf + 0 86.808 * * [simplify]: Extracting #5: cost 59 inf + 790 86.808 * * [simplify]: Extracting #6: cost 41 inf + 3577 86.810 * * [simplify]: Extracting #7: cost 24 inf + 9007 86.812 * * [simplify]: Extracting #8: cost 7 inf + 17965 86.818 * * [simplify]: Extracting #9: cost 0 inf + 22430 86.826 * [simplify]: Simplified to (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 86.826 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 86.826 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 86.827 * * [simplify]: iters left: 6 (20 enodes) 86.836 * * [simplify]: iters left: 5 (67 enodes) 86.858 * * [simplify]: iters left: 4 (84 enodes) 86.883 * * [simplify]: iters left: 3 (107 enodes) 86.913 * * [simplify]: iters left: 2 (113 enodes) 86.943 * * [simplify]: iters left: 1 (121 enodes) 86.974 * * [simplify]: Extracting #0: cost 1 inf + 0 86.974 * * [simplify]: Extracting #1: cost 8 inf + 0 86.974 * * [simplify]: Extracting #2: cost 17 inf + 0 86.974 * * [simplify]: Extracting #3: cost 35 inf + 0 86.974 * * [simplify]: Extracting #4: cost 53 inf + 0 86.975 * * [simplify]: Extracting #5: cost 45 inf + 1213 86.975 * * [simplify]: Extracting #6: cost 30 inf + 3536 86.977 * * [simplify]: Extracting #7: cost 13 inf + 8623 86.981 * * [simplify]: Extracting #8: cost 1 inf + 14585 86.985 * * [simplify]: Extracting #9: cost 0 inf + 15028 86.990 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 86.990 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))))) 86.990 * * * * [progress]: [ 212 / 2703 ] simplifiying candidate # 86.990 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 86.991 * * [simplify]: iters left: 6 (22 enodes) 87.001 * * [simplify]: iters left: 5 (74 enodes) 87.025 * * [simplify]: iters left: 4 (91 enodes) 87.047 * * [simplify]: iters left: 3 (114 enodes) 87.064 * * [simplify]: iters left: 2 (120 enodes) 87.083 * * [simplify]: iters left: 1 (128 enodes) 87.110 * * [simplify]: Extracting #0: cost 1 inf + 0 87.110 * * [simplify]: Extracting #1: cost 8 inf + 0 87.110 * * [simplify]: Extracting #2: cost 18 inf + 0 87.111 * * [simplify]: Extracting #3: cost 38 inf + 0 87.111 * * [simplify]: Extracting #4: cost 57 inf + 0 87.111 * * [simplify]: Extracting #5: cost 50 inf + 911 87.111 * * [simplify]: Extracting #6: cost 35 inf + 3274 87.112 * * [simplify]: Extracting #7: cost 15 inf + 9028 87.114 * * [simplify]: Extracting #8: cost 3 inf + 14545 87.118 * * [simplify]: Extracting #9: cost 0 inf + 16076 87.120 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2))))) 87.120 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 87.121 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 87.121 * * [simplify]: iters left: 6 (21 enodes) 87.126 * * [simplify]: iters left: 5 (70 enodes) 87.137 * * [simplify]: iters left: 4 (87 enodes) 87.164 * * [simplify]: iters left: 3 (110 enodes) 87.189 * * [simplify]: iters left: 2 (116 enodes) 87.205 * * [simplify]: iters left: 1 (124 enodes) 87.223 * * [simplify]: Extracting #0: cost 1 inf + 0 87.223 * * [simplify]: Extracting #1: cost 8 inf + 0 87.223 * * [simplify]: Extracting #2: cost 17 inf + 0 87.223 * * [simplify]: Extracting #3: cost 36 inf + 0 87.223 * * [simplify]: Extracting #4: cost 55 inf + 0 87.223 * * [simplify]: Extracting #5: cost 49 inf + 891 87.223 * * [simplify]: Extracting #6: cost 33 inf + 3274 87.224 * * [simplify]: Extracting #7: cost 17 inf + 7395 87.226 * * [simplify]: Extracting #8: cost 8 inf + 10824 87.228 * * [simplify]: Extracting #9: cost 0 inf + 15592 87.231 * [simplify]: Simplified to (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 87.231 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 87.231 * * * * [progress]: [ 213 / 2703 ] simplifiying candidate # 87.231 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 87.231 * * [simplify]: iters left: 6 (20 enodes) 87.236 * * [simplify]: iters left: 5 (67 enodes) 87.248 * * [simplify]: iters left: 4 (84 enodes) 87.261 * * [simplify]: iters left: 3 (107 enodes) 87.277 * * [simplify]: iters left: 2 (113 enodes) 87.306 * * [simplify]: iters left: 1 (121 enodes) 87.328 * * [simplify]: Extracting #0: cost 1 inf + 0 87.328 * * [simplify]: Extracting #1: cost 8 inf + 0 87.328 * * [simplify]: Extracting #2: cost 17 inf + 0 87.328 * * [simplify]: Extracting #3: cost 35 inf + 0 87.328 * * [simplify]: Extracting #4: cost 53 inf + 0 87.328 * * [simplify]: Extracting #5: cost 45 inf + 1213 87.329 * * [simplify]: Extracting #6: cost 30 inf + 3536 87.330 * * [simplify]: Extracting #7: cost 13 inf + 8583 87.332 * * [simplify]: Extracting #8: cost 1 inf + 14305 87.334 * * [simplify]: Extracting #9: cost 0 inf + 14708 87.336 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 87.336 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 87.336 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 87.337 * * [simplify]: iters left: 6 (20 enodes) 87.341 * * [simplify]: iters left: 5 (67 enodes) 87.357 * * [simplify]: iters left: 4 (84 enodes) 87.381 * * [simplify]: iters left: 3 (107 enodes) 87.412 * * [simplify]: iters left: 2 (113 enodes) 87.443 * * [simplify]: iters left: 1 (121 enodes) 87.474 * * [simplify]: Extracting #0: cost 1 inf + 0 87.474 * * [simplify]: Extracting #1: cost 8 inf + 0 87.474 * * [simplify]: Extracting #2: cost 17 inf + 0 87.474 * * [simplify]: Extracting #3: cost 35 inf + 0 87.475 * * [simplify]: Extracting #4: cost 53 inf + 0 87.475 * * [simplify]: Extracting #5: cost 45 inf + 1213 87.476 * * [simplify]: Extracting #6: cost 30 inf + 3536 87.478 * * [simplify]: Extracting #7: cost 13 inf + 8583 87.482 * * [simplify]: Extracting #8: cost 1 inf + 14305 87.487 * * [simplify]: Extracting #9: cost 0 inf + 14708 87.491 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 87.492 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))))) 87.492 * * * * [progress]: [ 214 / 2703 ] simplifiying candidate # 87.492 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 87.493 * * [simplify]: iters left: 6 (21 enodes) 87.504 * * [simplify]: iters left: 5 (72 enodes) 87.527 * * [simplify]: iters left: 4 (86 enodes) 87.553 * * [simplify]: iters left: 3 (111 enodes) 87.584 * * [simplify]: iters left: 2 (119 enodes) 87.609 * * [simplify]: iters left: 1 (127 enodes) 87.625 * * [simplify]: Extracting #0: cost 1 inf + 0 87.626 * * [simplify]: Extracting #1: cost 5 inf + 0 87.626 * * [simplify]: Extracting #2: cost 8 inf + 1 87.626 * * [simplify]: Extracting #3: cost 25 inf + 1 87.626 * * [simplify]: Extracting #4: cost 42 inf + 1 87.626 * * [simplify]: Extracting #5: cost 34 inf + 913 87.626 * * [simplify]: Extracting #6: cost 26 inf + 3453 87.627 * * [simplify]: Extracting #7: cost 21 inf + 3578 87.628 * * [simplify]: Extracting #8: cost 6 inf + 7981 87.629 * * [simplify]: Extracting #9: cost 1 inf + 10179 87.631 * * [simplify]: Extracting #10: cost 0 inf + 10843 87.633 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) 87.633 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 87.633 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 87.634 * * [simplify]: iters left: 6 (19 enodes) 87.638 * * [simplify]: iters left: 5 (64 enodes) 87.648 * * [simplify]: iters left: 4 (81 enodes) 87.661 * * [simplify]: iters left: 3 (104 enodes) 87.677 * * [simplify]: iters left: 2 (110 enodes) 87.692 * * [simplify]: iters left: 1 (118 enodes) 87.712 * * [simplify]: Extracting #0: cost 1 inf + 0 87.712 * * [simplify]: Extracting #1: cost 8 inf + 0 87.712 * * [simplify]: Extracting #2: cost 17 inf + 0 87.712 * * [simplify]: Extracting #3: cost 36 inf + 0 87.712 * * [simplify]: Extracting #4: cost 55 inf + 0 87.713 * * [simplify]: Extracting #5: cost 38 inf + 1057 87.714 * * [simplify]: Extracting #6: cost 17 inf + 6425 87.718 * * [simplify]: Extracting #7: cost 0 inf + 14064 87.722 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) 87.723 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 87.723 * * * * [progress]: [ 215 / 2703 ] simplifiying candidate # 87.723 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 87.724 * * [simplify]: iters left: 6 (20 enodes) 87.733 * * [simplify]: iters left: 5 (67 enodes) 87.753 * * [simplify]: iters left: 4 (84 enodes) 87.779 * * [simplify]: iters left: 3 (107 enodes) 87.802 * * [simplify]: iters left: 2 (113 enodes) 87.817 * * [simplify]: iters left: 1 (121 enodes) 87.847 * * [simplify]: Extracting #0: cost 1 inf + 0 87.848 * * [simplify]: Extracting #1: cost 8 inf + 0 87.848 * * [simplify]: Extracting #2: cost 17 inf + 0 87.848 * * [simplify]: Extracting #3: cost 35 inf + 0 87.848 * * [simplify]: Extracting #4: cost 53 inf + 0 87.848 * * [simplify]: Extracting #5: cost 45 inf + 1213 87.849 * * [simplify]: Extracting #6: cost 30 inf + 3536 87.851 * * [simplify]: Extracting #7: cost 13 inf + 8583 87.855 * * [simplify]: Extracting #8: cost 1 inf + 14305 87.857 * * [simplify]: Extracting #9: cost 0 inf + 14708 87.859 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 87.859 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 87.860 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 87.860 * * [simplify]: iters left: 6 (20 enodes) 87.865 * * [simplify]: iters left: 5 (67 enodes) 87.876 * * [simplify]: iters left: 4 (84 enodes) 87.888 * * [simplify]: iters left: 3 (107 enodes) 87.918 * * [simplify]: iters left: 2 (113 enodes) 87.933 * * [simplify]: iters left: 1 (121 enodes) 87.949 * * [simplify]: Extracting #0: cost 1 inf + 0 87.949 * * [simplify]: Extracting #1: cost 8 inf + 0 87.949 * * [simplify]: Extracting #2: cost 17 inf + 0 87.949 * * [simplify]: Extracting #3: cost 35 inf + 0 87.949 * * [simplify]: Extracting #4: cost 53 inf + 0 87.949 * * [simplify]: Extracting #5: cost 45 inf + 1213 87.950 * * [simplify]: Extracting #6: cost 30 inf + 3536 87.952 * * [simplify]: Extracting #7: cost 13 inf + 8583 87.956 * * [simplify]: Extracting #8: cost 1 inf + 14305 87.960 * * [simplify]: Extracting #9: cost 0 inf + 14708 87.964 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))) 87.965 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))))) 87.965 * * * * [progress]: [ 216 / 2703 ] simplifiying candidate # 87.965 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 87.965 * * [simplify]: iters left: 6 (20 enodes) 87.975 * * [simplify]: iters left: 5 (67 enodes) 87.996 * * [simplify]: iters left: 4 (83 enodes) 88.024 * * [simplify]: iters left: 3 (107 enodes) 88.053 * * [simplify]: iters left: 2 (115 enodes) 88.083 * * [simplify]: iters left: 1 (126 enodes) 88.115 * * [simplify]: Extracting #0: cost 1 inf + 0 88.115 * * [simplify]: Extracting #1: cost 6 inf + 0 88.115 * * [simplify]: Extracting #2: cost 10 inf + 1 88.115 * * [simplify]: Extracting #3: cost 27 inf + 1 88.115 * * [simplify]: Extracting #4: cost 44 inf + 1 88.115 * * [simplify]: Extracting #5: cost 38 inf + 590 88.116 * * [simplify]: Extracting #6: cost 31 inf + 2808 88.117 * * [simplify]: Extracting #7: cost 24 inf + 3537 88.119 * * [simplify]: Extracting #8: cost 9 inf + 7980 88.123 * * [simplify]: Extracting #9: cost 0 inf + 12171 88.126 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) 88.126 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 88.127 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 88.127 * * [simplify]: iters left: 6 (19 enodes) 88.137 * * [simplify]: iters left: 5 (64 enodes) 88.156 * * [simplify]: iters left: 4 (81 enodes) 88.183 * * [simplify]: iters left: 3 (104 enodes) 88.212 * * [simplify]: iters left: 2 (110 enodes) 88.241 * * [simplify]: iters left: 1 (118 enodes) 88.271 * * [simplify]: Extracting #0: cost 1 inf + 0 88.271 * * [simplify]: Extracting #1: cost 8 inf + 0 88.271 * * [simplify]: Extracting #2: cost 17 inf + 0 88.271 * * [simplify]: Extracting #3: cost 36 inf + 0 88.272 * * [simplify]: Extracting #4: cost 55 inf + 0 88.272 * * [simplify]: Extracting #5: cost 38 inf + 1057 88.273 * * [simplify]: Extracting #6: cost 17 inf + 6425 88.277 * * [simplify]: Extracting #7: cost 0 inf + 14064 88.282 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) 88.282 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 88.282 * * * * [progress]: [ 217 / 2703 ] simplifiying candidate # 88.283 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 88.283 * * [simplify]: iters left: 6 (21 enodes) 88.294 * * [simplify]: iters left: 5 (74 enodes) 88.316 * * [simplify]: iters left: 4 (100 enodes) 88.337 * * [simplify]: iters left: 3 (143 enodes) 88.359 * * [simplify]: iters left: 2 (167 enodes) 88.383 * * [simplify]: iters left: 1 (200 enodes) 88.430 * * [simplify]: Extracting #0: cost 1 inf + 0 88.430 * * [simplify]: Extracting #1: cost 11 inf + 0 88.430 * * [simplify]: Extracting #2: cost 20 inf + 1 88.430 * * [simplify]: Extracting #3: cost 36 inf + 1 88.430 * * [simplify]: Extracting #4: cost 53 inf + 1 88.431 * * [simplify]: Extracting #5: cost 57 inf + 63 88.431 * * [simplify]: Extracting #6: cost 42 inf + 1702 88.432 * * [simplify]: Extracting #7: cost 17 inf + 9070 88.435 * * [simplify]: Extracting #8: cost 3 inf + 14716 88.438 * * [simplify]: Extracting #9: cost 0 inf + 16287 88.441 * [simplify]: Simplified to (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 88.441 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 88.442 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 88.442 * * [simplify]: iters left: 6 (18 enodes) 88.446 * * [simplify]: iters left: 5 (61 enodes) 88.455 * * [simplify]: iters left: 4 (78 enodes) 88.467 * * [simplify]: iters left: 3 (101 enodes) 88.492 * * [simplify]: iters left: 2 (107 enodes) 88.522 * * [simplify]: iters left: 1 (115 enodes) 88.547 * * [simplify]: Extracting #0: cost 1 inf + 0 88.547 * * [simplify]: Extracting #1: cost 8 inf + 0 88.547 * * [simplify]: Extracting #2: cost 17 inf + 0 88.548 * * [simplify]: Extracting #3: cost 34 inf + 0 88.548 * * [simplify]: Extracting #4: cost 44 inf + 445 88.548 * * [simplify]: Extracting #5: cost 43 inf + 971 88.548 * * [simplify]: Extracting #6: cost 34 inf + 2084 88.549 * * [simplify]: Extracting #7: cost 16 inf + 6627 88.551 * * [simplify]: Extracting #8: cost 2 inf + 13117 88.553 * * [simplify]: Extracting #9: cost 0 inf + 13984 88.555 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 88.555 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 88.556 * * * * [progress]: [ 218 / 2703 ] simplifiying candidate # 88.556 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 88.556 * * [simplify]: iters left: 6 (22 enodes) 88.562 * * [simplify]: iters left: 5 (76 enodes) 88.573 * * [simplify]: iters left: 4 (93 enodes) 88.597 * * [simplify]: iters left: 3 (120 enodes) 88.616 * * [simplify]: iters left: 2 (128 enodes) 88.639 * * [simplify]: iters left: 1 (141 enodes) 88.658 * * [simplify]: Extracting #0: cost 1 inf + 0 88.658 * * [simplify]: Extracting #1: cost 8 inf + 0 88.658 * * [simplify]: Extracting #2: cost 14 inf + 1 88.659 * * [simplify]: Extracting #3: cost 32 inf + 1 88.659 * * [simplify]: Extracting #4: cost 50 inf + 1 88.659 * * [simplify]: Extracting #5: cost 54 inf + 63 88.660 * * [simplify]: Extracting #6: cost 40 inf + 1560 88.661 * * [simplify]: Extracting #7: cost 18 inf + 7134 88.665 * * [simplify]: Extracting #8: cost 0 inf + 13670 88.670 * [simplify]: Simplified to (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 88.670 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 88.671 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 88.671 * * [simplify]: iters left: 6 (19 enodes) 88.680 * * [simplify]: iters left: 5 (64 enodes) 88.699 * * [simplify]: iters left: 4 (81 enodes) 88.725 * * [simplify]: iters left: 3 (104 enodes) 88.757 * * [simplify]: iters left: 2 (110 enodes) 88.785 * * [simplify]: iters left: 1 (118 enodes) 88.817 * * [simplify]: Extracting #0: cost 1 inf + 0 88.817 * * [simplify]: Extracting #1: cost 8 inf + 0 88.817 * * [simplify]: Extracting #2: cost 17 inf + 0 88.817 * * [simplify]: Extracting #3: cost 35 inf + 0 88.817 * * [simplify]: Extracting #4: cost 45 inf + 486 88.818 * * [simplify]: Extracting #5: cost 45 inf + 770 88.819 * * [simplify]: Extracting #6: cost 33 inf + 2649 88.821 * * [simplify]: Extracting #7: cost 16 inf + 7153 88.824 * * [simplify]: Extracting #8: cost 2 inf + 13140 88.829 * * [simplify]: Extracting #9: cost 0 inf + 14548 88.833 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))) 88.833 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))))) 88.834 * * * * [progress]: [ 219 / 2703 ] simplifiying candidate # 88.834 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 88.835 * * [simplify]: iters left: 6 (20 enodes) 88.845 * * [simplify]: iters left: 5 (69 enodes) 88.863 * * [simplify]: iters left: 4 (86 enodes) 88.887 * * [simplify]: iters left: 3 (113 enodes) 88.917 * * [simplify]: iters left: 2 (121 enodes) 88.944 * * [simplify]: iters left: 1 (134 enodes) 88.975 * * [simplify]: Extracting #0: cost 1 inf + 0 88.975 * * [simplify]: Extracting #1: cost 8 inf + 0 88.975 * * [simplify]: Extracting #2: cost 13 inf + 1 88.975 * * [simplify]: Extracting #3: cost 29 inf + 1 88.975 * * [simplify]: Extracting #4: cost 46 inf + 1 88.976 * * [simplify]: Extracting #5: cost 50 inf + 63 88.976 * * [simplify]: Extracting #6: cost 35 inf + 1340 88.977 * * [simplify]: Extracting #7: cost 14 inf + 7295 88.980 * * [simplify]: Extracting #8: cost 1 inf + 11877 88.984 * * [simplify]: Extracting #9: cost 0 inf + 12422 88.988 * [simplify]: Simplified to (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 88.988 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 88.989 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 88.989 * * [simplify]: iters left: 6 (18 enodes) 88.997 * * [simplify]: iters left: 5 (61 enodes) 89.013 * * [simplify]: iters left: 4 (78 enodes) 89.038 * * [simplify]: iters left: 3 (101 enodes) 89.065 * * [simplify]: iters left: 2 (107 enodes) 89.091 * * [simplify]: iters left: 1 (115 enodes) 89.112 * * [simplify]: Extracting #0: cost 1 inf + 0 89.112 * * [simplify]: Extracting #1: cost 8 inf + 0 89.112 * * [simplify]: Extracting #2: cost 17 inf + 0 89.112 * * [simplify]: Extracting #3: cost 34 inf + 0 89.112 * * [simplify]: Extracting #4: cost 44 inf + 445 89.112 * * [simplify]: Extracting #5: cost 43 inf + 971 89.113 * * [simplify]: Extracting #6: cost 34 inf + 2084 89.114 * * [simplify]: Extracting #7: cost 16 inf + 6547 89.116 * * [simplify]: Extracting #8: cost 2 inf + 12797 89.118 * * [simplify]: Extracting #9: cost 0 inf + 13664 89.120 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 89.120 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 89.120 * * * * [progress]: [ 220 / 2703 ] simplifiying candidate # 89.120 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt 1))) 89.120 * * [simplify]: iters left: 6 (20 enodes) 89.126 * * [simplify]: iters left: 5 (69 enodes) 89.138 * * [simplify]: iters left: 4 (83 enodes) 89.153 * * [simplify]: iters left: 3 (106 enodes) 89.167 * * [simplify]: iters left: 2 (114 enodes) 89.182 * * [simplify]: iters left: 1 (127 enodes) 89.198 * * [simplify]: Extracting #0: cost 1 inf + 0 89.198 * * [simplify]: Extracting #1: cost 5 inf + 0 89.198 * * [simplify]: Extracting #2: cost 20 inf + 1 89.198 * * [simplify]: Extracting #3: cost 36 inf + 1 89.198 * * [simplify]: Extracting #4: cost 39 inf + 63 89.199 * * [simplify]: Extracting #5: cost 35 inf + 912 89.200 * * [simplify]: Extracting #6: cost 21 inf + 3094 89.201 * * [simplify]: Extracting #7: cost 14 inf + 4832 89.204 * * [simplify]: Extracting #8: cost 2 inf + 9253 89.208 * * [simplify]: Extracting #9: cost 0 inf + 10121 89.211 * [simplify]: Simplified to (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 89.211 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 89.211 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 89.211 * * [simplify]: iters left: 6 (17 enodes) 89.215 * * [simplify]: iters left: 5 (58 enodes) 89.224 * * [simplify]: iters left: 4 (74 enodes) 89.237 * * [simplify]: iters left: 3 (95 enodes) 89.251 * * [simplify]: iters left: 2 (101 enodes) 89.264 * * [simplify]: iters left: 1 (109 enodes) 89.278 * * [simplify]: Extracting #0: cost 1 inf + 0 89.278 * * [simplify]: Extracting #1: cost 8 inf + 0 89.278 * * [simplify]: Extracting #2: cost 17 inf + 0 89.279 * * [simplify]: Extracting #3: cost 34 inf + 0 89.279 * * [simplify]: Extracting #4: cost 43 inf + 486 89.279 * * [simplify]: Extracting #5: cost 35 inf + 834 89.280 * * [simplify]: Extracting #6: cost 11 inf + 8119 89.282 * * [simplify]: Extracting #7: cost 0 inf + 12374 89.284 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 89.284 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 89.284 * * * * [progress]: [ 221 / 2703 ] simplifiying candidate # 89.284 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 89.284 * * [simplify]: iters left: 6 (20 enodes) 89.290 * * [simplify]: iters left: 5 (69 enodes) 89.301 * * [simplify]: iters left: 4 (86 enodes) 89.317 * * [simplify]: iters left: 3 (113 enodes) 89.349 * * [simplify]: iters left: 2 (121 enodes) 89.379 * * [simplify]: iters left: 1 (134 enodes) 89.398 * * [simplify]: Extracting #0: cost 1 inf + 0 89.398 * * [simplify]: Extracting #1: cost 8 inf + 0 89.398 * * [simplify]: Extracting #2: cost 13 inf + 1 89.399 * * [simplify]: Extracting #3: cost 29 inf + 1 89.399 * * [simplify]: Extracting #4: cost 46 inf + 1 89.399 * * [simplify]: Extracting #5: cost 50 inf + 63 89.399 * * [simplify]: Extracting #6: cost 35 inf + 1340 89.400 * * [simplify]: Extracting #7: cost 14 inf + 7295 89.402 * * [simplify]: Extracting #8: cost 1 inf + 11877 89.404 * * [simplify]: Extracting #9: cost 0 inf + 12422 89.406 * [simplify]: Simplified to (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 89.406 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 89.406 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 89.407 * * [simplify]: iters left: 6 (18 enodes) 89.412 * * [simplify]: iters left: 5 (61 enodes) 89.433 * * [simplify]: iters left: 4 (78 enodes) 89.457 * * [simplify]: iters left: 3 (101 enodes) 89.485 * * [simplify]: iters left: 2 (107 enodes) 89.501 * * [simplify]: iters left: 1 (115 enodes) 89.522 * * [simplify]: Extracting #0: cost 1 inf + 0 89.522 * * [simplify]: Extracting #1: cost 8 inf + 0 89.522 * * [simplify]: Extracting #2: cost 17 inf + 0 89.523 * * [simplify]: Extracting #3: cost 34 inf + 0 89.523 * * [simplify]: Extracting #4: cost 44 inf + 445 89.523 * * [simplify]: Extracting #5: cost 43 inf + 971 89.524 * * [simplify]: Extracting #6: cost 34 inf + 2084 89.526 * * [simplify]: Extracting #7: cost 16 inf + 6547 89.529 * * [simplify]: Extracting #8: cost 2 inf + 12797 89.533 * * [simplify]: Extracting #9: cost 0 inf + 13664 89.538 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 89.538 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 89.539 * * * * [progress]: [ 222 / 2703 ] simplifiying candidate # 89.539 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) 1)) 89.540 * * [simplify]: iters left: 6 (19 enodes) 89.550 * * [simplify]: iters left: 5 (64 enodes) 89.562 * * [simplify]: iters left: 4 (78 enodes) 89.575 * * [simplify]: iters left: 3 (101 enodes) 89.603 * * [simplify]: iters left: 2 (109 enodes) 89.630 * * [simplify]: iters left: 1 (122 enodes) 89.659 * * [simplify]: Extracting #0: cost 1 inf + 0 89.659 * * [simplify]: Extracting #1: cost 5 inf + 0 89.659 * * [simplify]: Extracting #2: cost 20 inf + 1 89.659 * * [simplify]: Extracting #3: cost 36 inf + 1 89.660 * * [simplify]: Extracting #4: cost 38 inf + 124 89.660 * * [simplify]: Extracting #5: cost 35 inf + 973 89.661 * * [simplify]: Extracting #6: cost 24 inf + 2750 89.661 * * [simplify]: Extracting #7: cost 10 inf + 5702 89.663 * * [simplify]: Extracting #8: cost 1 inf + 9576 89.665 * * [simplify]: Extracting #9: cost 0 inf + 10121 89.667 * [simplify]: Simplified to (sqrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) 89.667 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 89.667 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 89.667 * * [simplify]: iters left: 6 (17 enodes) 89.671 * * [simplify]: iters left: 5 (58 enodes) 89.682 * * [simplify]: iters left: 4 (74 enodes) 89.703 * * [simplify]: iters left: 3 (95 enodes) 89.730 * * [simplify]: iters left: 2 (101 enodes) 89.757 * * [simplify]: iters left: 1 (109 enodes) 89.785 * * [simplify]: Extracting #0: cost 1 inf + 0 89.785 * * [simplify]: Extracting #1: cost 8 inf + 0 89.785 * * [simplify]: Extracting #2: cost 17 inf + 0 89.786 * * [simplify]: Extracting #3: cost 34 inf + 0 89.786 * * [simplify]: Extracting #4: cost 43 inf + 486 89.786 * * [simplify]: Extracting #5: cost 35 inf + 834 89.788 * * [simplify]: Extracting #6: cost 11 inf + 8119 89.792 * * [simplify]: Extracting #7: cost 0 inf + 12374 89.796 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 89.796 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) 1)) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 89.796 * * * * [progress]: [ 223 / 2703 ] simplifiying candidate # 89.797 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 89.797 * * [simplify]: iters left: 6 (21 enodes) 89.807 * * [simplify]: iters left: 5 (76 enodes) 89.835 * * [simplify]: iters left: 4 (117 enodes) 89.872 * * [simplify]: iters left: 3 (173 enodes) 89.921 * * [simplify]: iters left: 2 (209 enodes) 89.984 * * [simplify]: iters left: 1 (253 enodes) 90.028 * * [simplify]: Extracting #0: cost 1 inf + 0 90.028 * * [simplify]: Extracting #1: cost 29 inf + 0 90.028 * * [simplify]: Extracting #2: cost 54 inf + 0 90.029 * * [simplify]: Extracting #3: cost 71 inf + 0 90.029 * * [simplify]: Extracting #4: cost 88 inf + 0 90.029 * * [simplify]: Extracting #5: cost 82 inf + 1110 90.030 * * [simplify]: Extracting #6: cost 69 inf + 3149 90.031 * * [simplify]: Extracting #7: cost 64 inf + 3977 90.034 * * [simplify]: Extracting #8: cost 48 inf + 9042 90.043 * * [simplify]: Extracting #9: cost 10 inf + 31056 90.057 * * [simplify]: Extracting #10: cost 0 inf + 36789 90.074 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 90.074 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 90.075 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 90.075 * * [simplify]: iters left: 6 (19 enodes) 90.084 * * [simplify]: iters left: 5 (64 enodes) 90.097 * * [simplify]: iters left: 4 (81 enodes) 90.109 * * [simplify]: iters left: 3 (104 enodes) 90.126 * * [simplify]: iters left: 2 (110 enodes) 90.153 * * [simplify]: iters left: 1 (118 enodes) 90.183 * * [simplify]: Extracting #0: cost 1 inf + 0 90.184 * * [simplify]: Extracting #1: cost 8 inf + 0 90.184 * * [simplify]: Extracting #2: cost 17 inf + 0 90.184 * * [simplify]: Extracting #3: cost 34 inf + 0 90.184 * * [simplify]: Extracting #4: cost 51 inf + 0 90.184 * * [simplify]: Extracting #5: cost 44 inf + 1011 90.187 * * [simplify]: Extracting #6: cost 31 inf + 3051 90.189 * * [simplify]: Extracting #7: cost 16 inf + 7151 90.193 * * [simplify]: Extracting #8: cost 2 inf + 13378 90.196 * * [simplify]: Extracting #9: cost 0 inf + 14866 90.198 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))) 90.198 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 90.198 * * * * [progress]: [ 224 / 2703 ] simplifiying candidate # 90.198 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 90.198 * * [simplify]: iters left: 6 (22 enodes) 90.204 * * [simplify]: iters left: 5 (76 enodes) 90.215 * * [simplify]: iters left: 4 (100 enodes) 90.232 * * [simplify]: iters left: 3 (138 enodes) 90.271 * * [simplify]: iters left: 2 (150 enodes) 90.293 * * [simplify]: iters left: 1 (166 enodes) 90.324 * * [simplify]: Extracting #0: cost 1 inf + 0 90.324 * * [simplify]: Extracting #1: cost 16 inf + 0 90.324 * * [simplify]: Extracting #2: cost 33 inf + 0 90.325 * * [simplify]: Extracting #3: cost 52 inf + 0 90.325 * * [simplify]: Extracting #4: cost 70 inf + 0 90.326 * * [simplify]: Extracting #5: cost 64 inf + 990 90.327 * * [simplify]: Extracting #6: cost 48 inf + 3895 90.328 * * [simplify]: Extracting #7: cost 46 inf + 3977 90.330 * * [simplify]: Extracting #8: cost 31 inf + 8440 90.332 * * [simplify]: Extracting #9: cost 6 inf + 20621 90.336 * * [simplify]: Extracting #10: cost 0 inf + 24624 90.341 * [simplify]: Simplified to (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 90.341 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 90.341 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 90.341 * * [simplify]: iters left: 6 (20 enodes) 90.346 * * [simplify]: iters left: 5 (67 enodes) 90.357 * * [simplify]: iters left: 4 (84 enodes) 90.376 * * [simplify]: iters left: 3 (107 enodes) 90.394 * * [simplify]: iters left: 2 (113 enodes) 90.409 * * [simplify]: iters left: 1 (121 enodes) 90.438 * * [simplify]: Extracting #0: cost 1 inf + 0 90.438 * * [simplify]: Extracting #1: cost 8 inf + 0 90.438 * * [simplify]: Extracting #2: cost 17 inf + 0 90.438 * * [simplify]: Extracting #3: cost 35 inf + 0 90.438 * * [simplify]: Extracting #4: cost 53 inf + 0 90.438 * * [simplify]: Extracting #5: cost 46 inf + 1172 90.439 * * [simplify]: Extracting #6: cost 32 inf + 3454 90.440 * * [simplify]: Extracting #7: cost 15 inf + 8461 90.441 * * [simplify]: Extracting #8: cost 7 inf + 11326 90.443 * * [simplify]: Extracting #9: cost 1 inf + 14947 90.446 * * [simplify]: Extracting #10: cost 0 inf + 15430 90.448 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) 90.448 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))))) 90.448 * * * * [progress]: [ 225 / 2703 ] simplifiying candidate # 90.448 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 90.448 * * [simplify]: iters left: 6 (20 enodes) 90.453 * * [simplify]: iters left: 5 (69 enodes) 90.463 * * [simplify]: iters left: 4 (93 enodes) 90.479 * * [simplify]: iters left: 3 (131 enodes) 90.498 * * [simplify]: iters left: 2 (143 enodes) 90.533 * * [simplify]: iters left: 1 (159 enodes) 90.558 * * [simplify]: Extracting #0: cost 1 inf + 0 90.558 * * [simplify]: Extracting #1: cost 16 inf + 0 90.558 * * [simplify]: Extracting #2: cost 32 inf + 0 90.558 * * [simplify]: Extracting #3: cost 49 inf + 0 90.558 * * [simplify]: Extracting #4: cost 66 inf + 0 90.559 * * [simplify]: Extracting #5: cost 59 inf + 1151 90.559 * * [simplify]: Extracting #6: cost 44 inf + 3533 90.561 * * [simplify]: Extracting #7: cost 23 inf + 10836 90.564 * * [simplify]: Extracting #8: cost 5 inf + 20058 90.567 * * [simplify]: Extracting #9: cost 0 inf + 22936 90.571 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 90.571 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 90.572 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 90.572 * * [simplify]: iters left: 6 (19 enodes) 90.577 * * [simplify]: iters left: 5 (64 enodes) 90.591 * * [simplify]: iters left: 4 (81 enodes) 90.611 * * [simplify]: iters left: 3 (104 enodes) 90.626 * * [simplify]: iters left: 2 (110 enodes) 90.644 * * [simplify]: iters left: 1 (118 enodes) 90.663 * * [simplify]: Extracting #0: cost 1 inf + 0 90.663 * * [simplify]: Extracting #1: cost 8 inf + 0 90.663 * * [simplify]: Extracting #2: cost 17 inf + 0 90.663 * * [simplify]: Extracting #3: cost 34 inf + 0 90.663 * * [simplify]: Extracting #4: cost 51 inf + 0 90.663 * * [simplify]: Extracting #5: cost 44 inf + 1011 90.664 * * [simplify]: Extracting #6: cost 31 inf + 3051 90.665 * * [simplify]: Extracting #7: cost 16 inf + 7111 90.667 * * [simplify]: Extracting #8: cost 2 inf + 13138 90.670 * * [simplify]: Extracting #9: cost 0 inf + 14546 90.672 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))) 90.672 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 90.672 * * * * [progress]: [ 226 / 2703 ] simplifiying candidate # 90.673 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 90.673 * * [simplify]: iters left: 6 (21 enodes) 90.679 * * [simplify]: iters left: 5 (74 enodes) 90.691 * * [simplify]: iters left: 4 (95 enodes) 90.718 * * [simplify]: iters left: 3 (131 enodes) 90.757 * * [simplify]: iters left: 2 (144 enodes) 90.788 * * [simplify]: iters left: 1 (157 enodes) 90.811 * * [simplify]: Extracting #0: cost 1 inf + 0 90.811 * * [simplify]: Extracting #1: cost 13 inf + 0 90.811 * * [simplify]: Extracting #2: cost 21 inf + 1 90.811 * * [simplify]: Extracting #3: cost 37 inf + 1 90.812 * * [simplify]: Extracting #4: cost 53 inf + 1 90.812 * * [simplify]: Extracting #5: cost 46 inf + 951 90.812 * * [simplify]: Extracting #6: cost 34 inf + 4619 90.813 * * [simplify]: Extracting #7: cost 30 inf + 4944 90.814 * * [simplify]: Extracting #8: cost 27 inf + 5067 90.815 * * [simplify]: Extracting #9: cost 10 inf + 11321 90.819 * * [simplify]: Extracting #10: cost 1 inf + 16115 90.825 * * [simplify]: Extracting #11: cost 0 inf + 16779 90.831 * [simplify]: Simplified to (/ (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 90.831 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 90.831 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 90.832 * * [simplify]: iters left: 6 (18 enodes) 90.837 * * [simplify]: iters left: 5 (61 enodes) 90.847 * * [simplify]: iters left: 4 (78 enodes) 90.859 * * [simplify]: iters left: 3 (101 enodes) 90.873 * * [simplify]: iters left: 2 (107 enodes) 90.893 * * [simplify]: iters left: 1 (115 enodes) 90.908 * * [simplify]: Extracting #0: cost 1 inf + 0 90.908 * * [simplify]: Extracting #1: cost 8 inf + 0 90.908 * * [simplify]: Extracting #2: cost 17 inf + 0 90.908 * * [simplify]: Extracting #3: cost 35 inf + 0 90.908 * * [simplify]: Extracting #4: cost 53 inf + 0 90.909 * * [simplify]: Extracting #5: cost 39 inf + 1095 90.909 * * [simplify]: Extracting #6: cost 19 inf + 5819 90.911 * * [simplify]: Extracting #7: cost 2 inf + 12955 90.913 * * [simplify]: Extracting #8: cost 0 inf + 13902 90.915 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) 90.915 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))))) 90.916 * * * * [progress]: [ 227 / 2703 ] simplifiying candidate # 90.916 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 90.916 * * [simplify]: iters left: 6 (20 enodes) 90.922 * * [simplify]: iters left: 5 (69 enodes) 90.941 * * [simplify]: iters left: 4 (93 enodes) 90.965 * * [simplify]: iters left: 3 (131 enodes) 91.001 * * [simplify]: iters left: 2 (143 enodes) 91.022 * * [simplify]: iters left: 1 (159 enodes) 91.049 * * [simplify]: Extracting #0: cost 1 inf + 0 91.049 * * [simplify]: Extracting #1: cost 16 inf + 0 91.049 * * [simplify]: Extracting #2: cost 32 inf + 0 91.049 * * [simplify]: Extracting #3: cost 49 inf + 0 91.050 * * [simplify]: Extracting #4: cost 66 inf + 0 91.050 * * [simplify]: Extracting #5: cost 59 inf + 1151 91.051 * * [simplify]: Extracting #6: cost 44 inf + 3533 91.054 * * [simplify]: Extracting #7: cost 23 inf + 10836 91.060 * * [simplify]: Extracting #8: cost 5 inf + 20058 91.068 * * [simplify]: Extracting #9: cost 0 inf + 22936 91.075 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 91.075 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 91.076 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 91.076 * * [simplify]: iters left: 6 (19 enodes) 91.085 * * [simplify]: iters left: 5 (64 enodes) 91.105 * * [simplify]: iters left: 4 (81 enodes) 91.131 * * [simplify]: iters left: 3 (104 enodes) 91.161 * * [simplify]: iters left: 2 (110 enodes) 91.189 * * [simplify]: iters left: 1 (118 enodes) 91.220 * * [simplify]: Extracting #0: cost 1 inf + 0 91.220 * * [simplify]: Extracting #1: cost 8 inf + 0 91.220 * * [simplify]: Extracting #2: cost 17 inf + 0 91.220 * * [simplify]: Extracting #3: cost 34 inf + 0 91.220 * * [simplify]: Extracting #4: cost 51 inf + 0 91.220 * * [simplify]: Extracting #5: cost 44 inf + 1011 91.221 * * [simplify]: Extracting #6: cost 31 inf + 3051 91.223 * * [simplify]: Extracting #7: cost 16 inf + 7111 91.227 * * [simplify]: Extracting #8: cost 2 inf + 13138 91.231 * * [simplify]: Extracting #9: cost 0 inf + 14546 91.235 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))) 91.235 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 91.236 * * * * [progress]: [ 228 / 2703 ] simplifiying candidate # 91.236 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 91.236 * * [simplify]: iters left: 6 (20 enodes) 91.247 * * [simplify]: iters left: 5 (69 enodes) 91.271 * * [simplify]: iters left: 4 (96 enodes) 91.286 * * [simplify]: iters left: 3 (128 enodes) 91.311 * * [simplify]: iters left: 2 (145 enodes) 91.349 * * [simplify]: iters left: 1 (169 enodes) 91.375 * * [simplify]: Extracting #0: cost 1 inf + 0 91.375 * * [simplify]: Extracting #1: cost 11 inf + 0 91.375 * * [simplify]: Extracting #2: cost 20 inf + 1 91.375 * * [simplify]: Extracting #3: cost 36 inf + 1 91.375 * * [simplify]: Extracting #4: cost 52 inf + 1 91.375 * * [simplify]: Extracting #5: cost 44 inf + 1153 91.376 * * [simplify]: Extracting #6: cost 35 inf + 4195 91.377 * * [simplify]: Extracting #7: cost 29 inf + 4944 91.377 * * [simplify]: Extracting #8: cost 26 inf + 5067 91.379 * * [simplify]: Extracting #9: cost 11 inf + 10434 91.382 * * [simplify]: Extracting #10: cost 1 inf + 15852 91.385 * * [simplify]: Extracting #11: cost 0 inf + 16115 91.388 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 91.388 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 91.388 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 91.388 * * [simplify]: iters left: 6 (18 enodes) 91.393 * * [simplify]: iters left: 5 (61 enodes) 91.402 * * [simplify]: iters left: 4 (78 enodes) 91.420 * * [simplify]: iters left: 3 (101 enodes) 91.435 * * [simplify]: iters left: 2 (107 enodes) 91.451 * * [simplify]: iters left: 1 (115 enodes) 91.467 * * [simplify]: Extracting #0: cost 1 inf + 0 91.467 * * [simplify]: Extracting #1: cost 8 inf + 0 91.467 * * [simplify]: Extracting #2: cost 17 inf + 0 91.467 * * [simplify]: Extracting #3: cost 35 inf + 0 91.467 * * [simplify]: Extracting #4: cost 53 inf + 0 91.467 * * [simplify]: Extracting #5: cost 39 inf + 1095 91.468 * * [simplify]: Extracting #6: cost 19 inf + 5819 91.470 * * [simplify]: Extracting #7: cost 2 inf + 12955 91.472 * * [simplify]: Extracting #8: cost 0 inf + 13902 91.474 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) 91.474 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))))) 91.475 * * * * [progress]: [ 229 / 2703 ] simplifiying candidate # 91.475 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 91.475 * * [simplify]: iters left: 6 (20 enodes) 91.480 * * [simplify]: iters left: 5 (69 enodes) 91.494 * * [simplify]: iters left: 4 (92 enodes) 91.522 * * [simplify]: iters left: 3 (123 enodes) 91.557 * * [simplify]: iters left: 2 (137 enodes) 91.596 * * [simplify]: iters left: 1 (151 enodes) 91.621 * * [simplify]: Extracting #0: cost 1 inf + 0 91.621 * * [simplify]: Extracting #1: cost 14 inf + 0 91.621 * * [simplify]: Extracting #2: cost 29 inf + 0 91.621 * * [simplify]: Extracting #3: cost 46 inf + 0 91.621 * * [simplify]: Extracting #4: cost 63 inf + 0 91.621 * * [simplify]: Extracting #5: cost 56 inf + 1092 91.622 * * [simplify]: Extracting #6: cost 41 inf + 3415 91.623 * * [simplify]: Extracting #7: cost 23 inf + 9288 91.626 * * [simplify]: Extracting #8: cost 7 inf + 17324 91.630 * * [simplify]: Extracting #9: cost 0 inf + 21468 91.633 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) 91.633 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 91.634 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 91.634 * * [simplify]: iters left: 6 (19 enodes) 91.639 * * [simplify]: iters left: 5 (64 enodes) 91.649 * * [simplify]: iters left: 4 (81 enodes) 91.661 * * [simplify]: iters left: 3 (104 enodes) 91.679 * * [simplify]: iters left: 2 (110 enodes) 91.707 * * [simplify]: iters left: 1 (118 enodes) 91.739 * * [simplify]: Extracting #0: cost 1 inf + 0 91.739 * * [simplify]: Extracting #1: cost 8 inf + 0 91.739 * * [simplify]: Extracting #2: cost 17 inf + 0 91.740 * * [simplify]: Extracting #3: cost 34 inf + 0 91.740 * * [simplify]: Extracting #4: cost 51 inf + 0 91.740 * * [simplify]: Extracting #5: cost 44 inf + 931 91.741 * * [simplify]: Extracting #6: cost 31 inf + 2971 91.743 * * [simplify]: Extracting #7: cost 16 inf + 7071 91.746 * * [simplify]: Extracting #8: cost 2 inf + 13138 91.750 * * [simplify]: Extracting #9: cost 0 inf + 14546 91.753 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 91.753 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))))) 91.753 * * * * [progress]: [ 230 / 2703 ] simplifiying candidate # 91.753 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 91.753 * * [simplify]: iters left: 6 (21 enodes) 91.758 * * [simplify]: iters left: 5 (71 enodes) 91.769 * * [simplify]: iters left: 4 (88 enodes) 91.785 * * [simplify]: iters left: 3 (111 enodes) 91.815 * * [simplify]: iters left: 2 (117 enodes) 91.846 * * [simplify]: iters left: 1 (125 enodes) 91.878 * * [simplify]: Extracting #0: cost 1 inf + 0 91.878 * * [simplify]: Extracting #1: cost 8 inf + 0 91.878 * * [simplify]: Extracting #2: cost 18 inf + 0 91.878 * * [simplify]: Extracting #3: cost 37 inf + 0 91.878 * * [simplify]: Extracting #4: cost 55 inf + 0 91.879 * * [simplify]: Extracting #5: cost 49 inf + 971 91.879 * * [simplify]: Extracting #6: cost 35 inf + 2971 91.881 * * [simplify]: Extracting #7: cost 18 inf + 7978 91.885 * * [simplify]: Extracting #8: cost 3 inf + 14466 91.890 * * [simplify]: Extracting #9: cost 0 inf + 15594 91.894 * [simplify]: Simplified to (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 91.894 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 91.895 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 91.895 * * [simplify]: iters left: 6 (20 enodes) 91.905 * * [simplify]: iters left: 5 (67 enodes) 91.927 * * [simplify]: iters left: 4 (84 enodes) 91.952 * * [simplify]: iters left: 3 (107 enodes) 91.983 * * [simplify]: iters left: 2 (113 enodes) 92.012 * * [simplify]: iters left: 1 (121 enodes) 92.040 * * [simplify]: Extracting #0: cost 1 inf + 0 92.040 * * [simplify]: Extracting #1: cost 8 inf + 0 92.040 * * [simplify]: Extracting #2: cost 17 inf + 0 92.040 * * [simplify]: Extracting #3: cost 35 inf + 0 92.041 * * [simplify]: Extracting #4: cost 53 inf + 0 92.041 * * [simplify]: Extracting #5: cost 46 inf + 1132 92.041 * * [simplify]: Extracting #6: cost 32 inf + 3374 92.042 * * [simplify]: Extracting #7: cost 15 inf + 8341 92.044 * * [simplify]: Extracting #8: cost 7 inf + 11166 92.046 * * [simplify]: Extracting #9: cost 1 inf + 14667 92.048 * * [simplify]: Extracting #10: cost 0 inf + 15110 92.050 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (cbrt (sqrt 2))))) 92.050 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (cbrt (sqrt 2))))))) 92.051 * * * * [progress]: [ 231 / 2703 ] simplifiying candidate # 92.051 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 92.051 * * [simplify]: iters left: 6 (19 enodes) 92.056 * * [simplify]: iters left: 5 (64 enodes) 92.068 * * [simplify]: iters left: 4 (81 enodes) 92.081 * * [simplify]: iters left: 3 (104 enodes) 92.100 * * [simplify]: iters left: 2 (110 enodes) 92.128 * * [simplify]: iters left: 1 (118 enodes) 92.151 * * [simplify]: Extracting #0: cost 1 inf + 0 92.151 * * [simplify]: Extracting #1: cost 8 inf + 0 92.151 * * [simplify]: Extracting #2: cost 17 inf + 0 92.151 * * [simplify]: Extracting #3: cost 34 inf + 0 92.152 * * [simplify]: Extracting #4: cost 51 inf + 0 92.152 * * [simplify]: Extracting #5: cost 44 inf + 931 92.152 * * [simplify]: Extracting #6: cost 31 inf + 2971 92.153 * * [simplify]: Extracting #7: cost 16 inf + 7031 92.155 * * [simplify]: Extracting #8: cost 2 inf + 12898 92.157 * * [simplify]: Extracting #9: cost 0 inf + 14226 92.159 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 92.159 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 92.160 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 92.160 * * [simplify]: iters left: 6 (19 enodes) 92.166 * * [simplify]: iters left: 5 (64 enodes) 92.182 * * [simplify]: iters left: 4 (81 enodes) 92.207 * * [simplify]: iters left: 3 (104 enodes) 92.236 * * [simplify]: iters left: 2 (110 enodes) 92.264 * * [simplify]: iters left: 1 (118 enodes) 92.294 * * [simplify]: Extracting #0: cost 1 inf + 0 92.294 * * [simplify]: Extracting #1: cost 8 inf + 0 92.295 * * [simplify]: Extracting #2: cost 17 inf + 0 92.295 * * [simplify]: Extracting #3: cost 34 inf + 0 92.295 * * [simplify]: Extracting #4: cost 51 inf + 0 92.296 * * [simplify]: Extracting #5: cost 44 inf + 931 92.296 * * [simplify]: Extracting #6: cost 31 inf + 2971 92.298 * * [simplify]: Extracting #7: cost 16 inf + 7031 92.302 * * [simplify]: Extracting #8: cost 2 inf + 12898 92.306 * * [simplify]: Extracting #9: cost 0 inf + 14226 92.312 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 92.312 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))))) 92.313 * * * * [progress]: [ 232 / 2703 ] simplifiying candidate # 92.313 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 92.313 * * [simplify]: iters left: 6 (20 enodes) 92.323 * * [simplify]: iters left: 5 (69 enodes) 92.344 * * [simplify]: iters left: 4 (83 enodes) 92.368 * * [simplify]: iters left: 3 (108 enodes) 92.391 * * [simplify]: iters left: 2 (116 enodes) 92.406 * * [simplify]: iters left: 1 (124 enodes) 92.427 * * [simplify]: Extracting #0: cost 1 inf + 0 92.427 * * [simplify]: Extracting #1: cost 5 inf + 0 92.427 * * [simplify]: Extracting #2: cost 8 inf + 1 92.427 * * [simplify]: Extracting #3: cost 24 inf + 1 92.428 * * [simplify]: Extracting #4: cost 40 inf + 1 92.428 * * [simplify]: Extracting #5: cost 34 inf + 811 92.429 * * [simplify]: Extracting #6: cost 27 inf + 3069 92.432 * * [simplify]: Extracting #7: cost 21 inf + 3416 92.434 * * [simplify]: Extracting #8: cost 7 inf + 7717 92.437 * * [simplify]: Extracting #9: cost 0 inf + 10521 92.440 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) 92.441 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 92.441 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 92.441 * * [simplify]: iters left: 6 (18 enodes) 92.450 * * [simplify]: iters left: 5 (61 enodes) 92.469 * * [simplify]: iters left: 4 (78 enodes) 92.492 * * [simplify]: iters left: 3 (101 enodes) 92.521 * * [simplify]: iters left: 2 (107 enodes) 92.542 * * [simplify]: iters left: 1 (115 enodes) 92.557 * * [simplify]: Extracting #0: cost 1 inf + 0 92.557 * * [simplify]: Extracting #1: cost 8 inf + 0 92.557 * * [simplify]: Extracting #2: cost 17 inf + 0 92.557 * * [simplify]: Extracting #3: cost 35 inf + 0 92.557 * * [simplify]: Extracting #4: cost 53 inf + 0 92.558 * * [simplify]: Extracting #5: cost 39 inf + 1055 92.560 * * [simplify]: Extracting #6: cost 19 inf + 5699 92.562 * * [simplify]: Extracting #7: cost 2 inf + 12675 92.565 * * [simplify]: Extracting #8: cost 0 inf + 13582 92.570 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2))))) 92.570 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2))))))) 92.570 * * * * [progress]: [ 233 / 2703 ] simplifiying candidate # 92.570 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 92.571 * * [simplify]: iters left: 6 (19 enodes) 92.579 * * [simplify]: iters left: 5 (64 enodes) 92.599 * * [simplify]: iters left: 4 (81 enodes) 92.623 * * [simplify]: iters left: 3 (104 enodes) 92.650 * * [simplify]: iters left: 2 (110 enodes) 92.665 * * [simplify]: iters left: 1 (118 enodes) 92.683 * * [simplify]: Extracting #0: cost 1 inf + 0 92.683 * * [simplify]: Extracting #1: cost 8 inf + 0 92.683 * * [simplify]: Extracting #2: cost 17 inf + 0 92.683 * * [simplify]: Extracting #3: cost 34 inf + 0 92.683 * * [simplify]: Extracting #4: cost 51 inf + 0 92.684 * * [simplify]: Extracting #5: cost 44 inf + 931 92.684 * * [simplify]: Extracting #6: cost 31 inf + 2971 92.685 * * [simplify]: Extracting #7: cost 16 inf + 7031 92.687 * * [simplify]: Extracting #8: cost 2 inf + 12898 92.689 * * [simplify]: Extracting #9: cost 0 inf + 14226 92.691 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 92.691 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 92.692 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 92.692 * * [simplify]: iters left: 6 (19 enodes) 92.696 * * [simplify]: iters left: 5 (64 enodes) 92.707 * * [simplify]: iters left: 4 (81 enodes) 92.731 * * [simplify]: iters left: 3 (104 enodes) 92.760 * * [simplify]: iters left: 2 (110 enodes) 92.789 * * [simplify]: iters left: 1 (118 enodes) 92.822 * * [simplify]: Extracting #0: cost 1 inf + 0 92.822 * * [simplify]: Extracting #1: cost 8 inf + 0 92.822 * * [simplify]: Extracting #2: cost 17 inf + 0 92.822 * * [simplify]: Extracting #3: cost 34 inf + 0 92.823 * * [simplify]: Extracting #4: cost 51 inf + 0 92.823 * * [simplify]: Extracting #5: cost 44 inf + 931 92.824 * * [simplify]: Extracting #6: cost 31 inf + 2971 92.826 * * [simplify]: Extracting #7: cost 16 inf + 7031 92.829 * * [simplify]: Extracting #8: cost 2 inf + 12898 92.833 * * [simplify]: Extracting #9: cost 0 inf + 14226 92.838 * [simplify]: Simplified to (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 92.838 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))))) 92.838 * * * * [progress]: [ 234 / 2703 ] simplifiying candidate # 92.838 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) 1)) 92.839 * * [simplify]: iters left: 6 (19 enodes) 92.848 * * [simplify]: iters left: 5 (64 enodes) 92.867 * * [simplify]: iters left: 4 (80 enodes) 92.892 * * [simplify]: iters left: 3 (104 enodes) 92.908 * * [simplify]: iters left: 2 (112 enodes) 92.932 * * [simplify]: iters left: 1 (123 enodes) 92.966 * * [simplify]: Extracting #0: cost 1 inf + 0 92.966 * * [simplify]: Extracting #1: cost 6 inf + 0 92.966 * * [simplify]: Extracting #2: cost 10 inf + 1 92.966 * * [simplify]: Extracting #3: cost 26 inf + 1 92.966 * * [simplify]: Extracting #4: cost 42 inf + 1 92.966 * * [simplify]: Extracting #5: cost 38 inf + 609 92.967 * * [simplify]: Extracting #6: cost 29 inf + 3130 92.968 * * [simplify]: Extracting #7: cost 24 inf + 3375 92.970 * * [simplify]: Extracting #8: cost 8 inf + 8201 92.974 * * [simplify]: Extracting #9: cost 0 inf + 11689 92.978 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (sqrt (cbrt (sqrt 2)))) 92.978 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 92.978 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 92.978 * * [simplify]: iters left: 6 (18 enodes) 92.987 * * [simplify]: iters left: 5 (61 enodes) 93.005 * * [simplify]: iters left: 4 (78 enodes) 93.017 * * [simplify]: iters left: 3 (101 enodes) 93.033 * * [simplify]: iters left: 2 (107 enodes) 93.061 * * [simplify]: iters left: 1 (115 enodes) 93.083 * * [simplify]: Extracting #0: cost 1 inf + 0 93.083 * * [simplify]: Extracting #1: cost 8 inf + 0 93.083 * * [simplify]: Extracting #2: cost 17 inf + 0 93.083 * * [simplify]: Extracting #3: cost 35 inf + 0 93.083 * * [simplify]: Extracting #4: cost 53 inf + 0 93.084 * * [simplify]: Extracting #5: cost 39 inf + 1055 93.084 * * [simplify]: Extracting #6: cost 19 inf + 5699 93.086 * * [simplify]: Extracting #7: cost 2 inf + 12675 93.088 * * [simplify]: Extracting #8: cost 0 inf + 13582 93.091 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2))))) 93.091 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) 1)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2))))))) 93.091 * * * * [progress]: [ 235 / 2703 ] simplifiying candidate # 93.091 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 93.091 * * [simplify]: iters left: 6 (20 enodes) 93.096 * * [simplify]: iters left: 5 (71 enodes) 93.113 * * [simplify]: iters left: 4 (92 enodes) 93.142 * * [simplify]: iters left: 3 (128 enodes) 93.168 * * [simplify]: iters left: 2 (147 enodes) 93.198 * * [simplify]: iters left: 1 (182 enodes) 93.236 * * [simplify]: Extracting #0: cost 1 inf + 0 93.236 * * [simplify]: Extracting #1: cost 11 inf + 0 93.236 * * [simplify]: Extracting #2: cost 20 inf + 1 93.236 * * [simplify]: Extracting #3: cost 36 inf + 1 93.237 * * [simplify]: Extracting #4: cost 53 inf + 1 93.237 * * [simplify]: Extracting #5: cost 57 inf + 63 93.237 * * [simplify]: Extracting #6: cost 42 inf + 1481 93.238 * * [simplify]: Extracting #7: cost 19 inf + 7679 93.240 * * [simplify]: Extracting #8: cost 8 inf + 12459 93.243 * * [simplify]: Extracting #9: cost 0 inf + 16287 93.246 * [simplify]: Simplified to (* (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) 93.246 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 93.247 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 93.247 * * [simplify]: iters left: 6 (18 enodes) 93.251 * * [simplify]: iters left: 5 (61 enodes) 93.260 * * [simplify]: iters left: 4 (78 enodes) 93.285 * * [simplify]: iters left: 3 (101 enodes) 93.314 * * [simplify]: iters left: 2 (107 enodes) 93.341 * * [simplify]: iters left: 1 (115 enodes) 93.361 * * [simplify]: Extracting #0: cost 1 inf + 0 93.361 * * [simplify]: Extracting #1: cost 8 inf + 0 93.361 * * [simplify]: Extracting #2: cost 17 inf + 0 93.361 * * [simplify]: Extracting #3: cost 34 inf + 0 93.361 * * [simplify]: Extracting #4: cost 44 inf + 445 93.361 * * [simplify]: Extracting #5: cost 43 inf + 971 93.361 * * [simplify]: Extracting #6: cost 34 inf + 2084 93.362 * * [simplify]: Extracting #7: cost 16 inf + 6627 93.364 * * [simplify]: Extracting #8: cost 2 inf + 13117 93.366 * * [simplify]: Extracting #9: cost 0 inf + 13984 93.369 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 93.369 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 93.369 * * * * [progress]: [ 236 / 2703 ] simplifiying candidate # 93.369 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 93.369 * * [simplify]: iters left: 6 (21 enodes) 93.375 * * [simplify]: iters left: 5 (73 enodes) 93.386 * * [simplify]: iters left: 4 (88 enodes) 93.402 * * [simplify]: iters left: 3 (115 enodes) 93.419 * * [simplify]: iters left: 2 (123 enodes) 93.440 * * [simplify]: iters left: 1 (136 enodes) 93.458 * * [simplify]: Extracting #0: cost 1 inf + 0 93.458 * * [simplify]: Extracting #1: cost 8 inf + 0 93.458 * * [simplify]: Extracting #2: cost 14 inf + 1 93.458 * * [simplify]: Extracting #3: cost 32 inf + 1 93.458 * * [simplify]: Extracting #4: cost 50 inf + 1 93.458 * * [simplify]: Extracting #5: cost 53 inf + 124 93.459 * * [simplify]: Extracting #6: cost 37 inf + 2085 93.461 * * [simplify]: Extracting #7: cost 16 inf + 8042 93.465 * * [simplify]: Extracting #8: cost 4 inf + 12198 93.470 * * [simplify]: Extracting #9: cost 0 inf + 13670 93.474 * [simplify]: Simplified to (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 93.474 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 93.475 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 93.475 * * [simplify]: iters left: 6 (19 enodes) 93.486 * * [simplify]: iters left: 5 (64 enodes) 93.505 * * [simplify]: iters left: 4 (81 enodes) 93.529 * * [simplify]: iters left: 3 (104 enodes) 93.558 * * [simplify]: iters left: 2 (110 enodes) 93.586 * * [simplify]: iters left: 1 (118 enodes) 93.614 * * [simplify]: Extracting #0: cost 1 inf + 0 93.614 * * [simplify]: Extracting #1: cost 8 inf + 0 93.614 * * [simplify]: Extracting #2: cost 17 inf + 0 93.614 * * [simplify]: Extracting #3: cost 35 inf + 0 93.614 * * [simplify]: Extracting #4: cost 45 inf + 486 93.614 * * [simplify]: Extracting #5: cost 45 inf + 770 93.615 * * [simplify]: Extracting #6: cost 33 inf + 2649 93.616 * * [simplify]: Extracting #7: cost 16 inf + 7153 93.618 * * [simplify]: Extracting #8: cost 2 inf + 13140 93.620 * * [simplify]: Extracting #9: cost 0 inf + 14548 93.623 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))) 93.623 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))))) 93.623 * * * * [progress]: [ 237 / 2703 ] simplifiying candidate # 93.624 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 93.624 * * [simplify]: iters left: 6 (19 enodes) 93.629 * * [simplify]: iters left: 5 (66 enodes) 93.640 * * [simplify]: iters left: 4 (81 enodes) 93.666 * * [simplify]: iters left: 3 (108 enodes) 93.683 * * [simplify]: iters left: 2 (116 enodes) 93.698 * * [simplify]: iters left: 1 (129 enodes) 93.730 * * [simplify]: Extracting #0: cost 1 inf + 0 93.730 * * [simplify]: Extracting #1: cost 8 inf + 0 93.730 * * [simplify]: Extracting #2: cost 13 inf + 1 93.730 * * [simplify]: Extracting #3: cost 29 inf + 1 93.730 * * [simplify]: Extracting #4: cost 46 inf + 1 93.731 * * [simplify]: Extracting #5: cost 50 inf + 63 93.731 * * [simplify]: Extracting #6: cost 36 inf + 1560 93.733 * * [simplify]: Extracting #7: cost 11 inf + 8265 93.737 * * [simplify]: Extracting #8: cost 2 inf + 11856 93.741 * * [simplify]: Extracting #9: cost 0 inf + 12422 93.746 * [simplify]: Simplified to (* (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 93.746 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 93.746 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 93.747 * * [simplify]: iters left: 6 (18 enodes) 93.755 * * [simplify]: iters left: 5 (61 enodes) 93.774 * * [simplify]: iters left: 4 (78 enodes) 93.798 * * [simplify]: iters left: 3 (101 enodes) 93.815 * * [simplify]: iters left: 2 (107 enodes) 93.829 * * [simplify]: iters left: 1 (115 enodes) 93.847 * * [simplify]: Extracting #0: cost 1 inf + 0 93.847 * * [simplify]: Extracting #1: cost 8 inf + 0 93.847 * * [simplify]: Extracting #2: cost 17 inf + 0 93.847 * * [simplify]: Extracting #3: cost 34 inf + 0 93.847 * * [simplify]: Extracting #4: cost 44 inf + 445 93.847 * * [simplify]: Extracting #5: cost 43 inf + 971 93.848 * * [simplify]: Extracting #6: cost 34 inf + 2084 93.849 * * [simplify]: Extracting #7: cost 16 inf + 6547 93.850 * * [simplify]: Extracting #8: cost 2 inf + 12797 93.853 * * [simplify]: Extracting #9: cost 0 inf + 13664 93.855 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 93.855 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 93.855 * * * * [progress]: [ 238 / 2703 ] simplifiying candidate # 93.855 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt 1))) 93.855 * * [simplify]: iters left: 6 (19 enodes) 93.863 * * [simplify]: iters left: 5 (66 enodes) 93.883 * * [simplify]: iters left: 4 (80 enodes) 93.901 * * [simplify]: iters left: 3 (103 enodes) 93.917 * * [simplify]: iters left: 2 (111 enodes) 93.944 * * [simplify]: iters left: 1 (124 enodes) 93.963 * * [simplify]: Extracting #0: cost 1 inf + 0 93.964 * * [simplify]: Extracting #1: cost 5 inf + 0 93.964 * * [simplify]: Extracting #2: cost 20 inf + 1 93.964 * * [simplify]: Extracting #3: cost 36 inf + 1 93.964 * * [simplify]: Extracting #4: cost 39 inf + 63 93.964 * * [simplify]: Extracting #5: cost 35 inf + 1114 93.964 * * [simplify]: Extracting #6: cost 22 inf + 3053 93.965 * * [simplify]: Extracting #7: cost 20 inf + 3135 93.966 * * [simplify]: Extracting #8: cost 12 inf + 5478 93.967 * * [simplify]: Extracting #9: cost 2 inf + 9031 93.969 * * [simplify]: Extracting #10: cost 0 inf + 10121 93.971 * [simplify]: Simplified to (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 93.971 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 93.971 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 93.971 * * [simplify]: iters left: 6 (17 enodes) 93.976 * * [simplify]: iters left: 5 (58 enodes) 93.985 * * [simplify]: iters left: 4 (74 enodes) 94.007 * * [simplify]: iters left: 3 (95 enodes) 94.035 * * [simplify]: iters left: 2 (101 enodes) 94.062 * * [simplify]: iters left: 1 (109 enodes) 94.080 * * [simplify]: Extracting #0: cost 1 inf + 0 94.080 * * [simplify]: Extracting #1: cost 8 inf + 0 94.080 * * [simplify]: Extracting #2: cost 17 inf + 0 94.080 * * [simplify]: Extracting #3: cost 34 inf + 0 94.080 * * [simplify]: Extracting #4: cost 43 inf + 486 94.081 * * [simplify]: Extracting #5: cost 35 inf + 834 94.081 * * [simplify]: Extracting #6: cost 11 inf + 8119 94.083 * * [simplify]: Extracting #7: cost 0 inf + 12374 94.085 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 94.085 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt 1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 94.086 * * * * [progress]: [ 239 / 2703 ] simplifiying candidate # 94.086 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 94.086 * * [simplify]: iters left: 6 (19 enodes) 94.091 * * [simplify]: iters left: 5 (66 enodes) 94.104 * * [simplify]: iters left: 4 (81 enodes) 94.129 * * [simplify]: iters left: 3 (108 enodes) 94.159 * * [simplify]: iters left: 2 (116 enodes) 94.175 * * [simplify]: iters left: 1 (129 enodes) 94.204 * * [simplify]: Extracting #0: cost 1 inf + 0 94.204 * * [simplify]: Extracting #1: cost 8 inf + 0 94.204 * * [simplify]: Extracting #2: cost 13 inf + 1 94.204 * * [simplify]: Extracting #3: cost 29 inf + 1 94.204 * * [simplify]: Extracting #4: cost 46 inf + 1 94.204 * * [simplify]: Extracting #5: cost 50 inf + 63 94.205 * * [simplify]: Extracting #6: cost 36 inf + 1560 94.207 * * [simplify]: Extracting #7: cost 11 inf + 8265 94.212 * * [simplify]: Extracting #8: cost 2 inf + 11856 94.216 * * [simplify]: Extracting #9: cost 0 inf + 12422 94.220 * [simplify]: Simplified to (* (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 94.220 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 94.221 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 94.221 * * [simplify]: iters left: 6 (18 enodes) 94.230 * * [simplify]: iters left: 5 (61 enodes) 94.249 * * [simplify]: iters left: 4 (78 enodes) 94.264 * * [simplify]: iters left: 3 (101 enodes) 94.278 * * [simplify]: iters left: 2 (107 enodes) 94.298 * * [simplify]: iters left: 1 (115 enodes) 94.325 * * [simplify]: Extracting #0: cost 1 inf + 0 94.325 * * [simplify]: Extracting #1: cost 8 inf + 0 94.325 * * [simplify]: Extracting #2: cost 17 inf + 0 94.325 * * [simplify]: Extracting #3: cost 34 inf + 0 94.325 * * [simplify]: Extracting #4: cost 44 inf + 445 94.325 * * [simplify]: Extracting #5: cost 43 inf + 971 94.326 * * [simplify]: Extracting #6: cost 34 inf + 2084 94.326 * * [simplify]: Extracting #7: cost 16 inf + 6547 94.328 * * [simplify]: Extracting #8: cost 2 inf + 12797 94.331 * * [simplify]: Extracting #9: cost 0 inf + 13664 94.333 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 94.333 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))))) 94.333 * * * * [progress]: [ 240 / 2703 ] simplifiying candidate # 94.333 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 1)) 94.333 * * [simplify]: iters left: 6 (18 enodes) 94.338 * * [simplify]: iters left: 5 (59 enodes) 94.348 * * [simplify]: iters left: 4 (73 enodes) 94.363 * * [simplify]: iters left: 3 (94 enodes) 94.376 * * [simplify]: iters left: 2 (100 enodes) 94.400 * * [simplify]: iters left: 1 (108 enodes) 94.430 * * [simplify]: Extracting #0: cost 1 inf + 0 94.430 * * [simplify]: Extracting #1: cost 4 inf + 0 94.430 * * [simplify]: Extracting #2: cost 18 inf + 1 94.431 * * [simplify]: Extracting #3: cost 34 inf + 1 94.431 * * [simplify]: Extracting #4: cost 37 inf + 63 94.431 * * [simplify]: Extracting #5: cost 34 inf + 610 94.432 * * [simplify]: Extracting #6: cost 24 inf + 2487 94.433 * * [simplify]: Extracting #7: cost 19 inf + 3094 94.434 * * [simplify]: Extracting #8: cost 8 inf + 5863 94.437 * * [simplify]: Extracting #9: cost 0 inf + 9031 94.440 * [simplify]: Simplified to (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 94.440 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 94.441 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 94.441 * * [simplify]: iters left: 6 (17 enodes) 94.450 * * [simplify]: iters left: 5 (58 enodes) 94.467 * * [simplify]: iters left: 4 (74 enodes) 94.490 * * [simplify]: iters left: 3 (95 enodes) 94.516 * * [simplify]: iters left: 2 (101 enodes) 94.533 * * [simplify]: iters left: 1 (109 enodes) 94.549 * * [simplify]: Extracting #0: cost 1 inf + 0 94.549 * * [simplify]: Extracting #1: cost 8 inf + 0 94.549 * * [simplify]: Extracting #2: cost 17 inf + 0 94.549 * * [simplify]: Extracting #3: cost 34 inf + 0 94.549 * * [simplify]: Extracting #4: cost 43 inf + 486 94.549 * * [simplify]: Extracting #5: cost 35 inf + 834 94.551 * * [simplify]: Extracting #6: cost 11 inf + 8119 94.555 * * [simplify]: Extracting #7: cost 0 inf + 12374 94.558 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 94.558 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 1)) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 94.559 * * * * [progress]: [ 241 / 2703 ] simplifiying candidate # 94.560 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 1) 94.560 * * [simplify]: iters left: 6 (17 enodes) 94.569 * * [simplify]: iters left: 5 (56 enodes) 94.586 * * [simplify]: iters left: 4 (70 enodes) 94.608 * * [simplify]: iters left: 3 (91 enodes) 94.631 * * [simplify]: iters left: 2 (97 enodes) 94.644 * * [simplify]: iters left: 1 (105 enodes) 94.659 * * [simplify]: Extracting #0: cost 1 inf + 0 94.659 * * [simplify]: Extracting #1: cost 4 inf + 0 94.660 * * [simplify]: Extracting #2: cost 18 inf + 1 94.660 * * [simplify]: Extracting #3: cost 34 inf + 1 94.660 * * [simplify]: Extracting #4: cost 37 inf + 63 94.660 * * [simplify]: Extracting #5: cost 32 inf + 1054 94.661 * * [simplify]: Extracting #6: cost 21 inf + 2791 94.662 * * [simplify]: Extracting #7: cost 12 inf + 4389 94.667 * * [simplify]: Extracting #8: cost 1 inf + 8567 94.670 * * [simplify]: Extracting #9: cost 0 inf + 9031 94.672 * [simplify]: Simplified to (sqrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) 94.673 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 94.673 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 94.673 * * [simplify]: iters left: 6 (17 enodes) 94.682 * * [simplify]: iters left: 5 (58 enodes) 94.700 * * [simplify]: iters left: 4 (74 enodes) 94.722 * * [simplify]: iters left: 3 (95 enodes) 94.750 * * [simplify]: iters left: 2 (101 enodes) 94.776 * * [simplify]: iters left: 1 (109 enodes) 94.805 * * [simplify]: Extracting #0: cost 1 inf + 0 94.805 * * [simplify]: Extracting #1: cost 8 inf + 0 94.805 * * [simplify]: Extracting #2: cost 17 inf + 0 94.805 * * [simplify]: Extracting #3: cost 34 inf + 0 94.805 * * [simplify]: Extracting #4: cost 43 inf + 486 94.806 * * [simplify]: Extracting #5: cost 35 inf + 834 94.808 * * [simplify]: Extracting #6: cost 11 inf + 8119 94.812 * * [simplify]: Extracting #7: cost 0 inf + 12374 94.816 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 94.816 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 94.816 * * * * [progress]: [ 242 / 2703 ] simplifiying candidate # 94.816 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (sqrt 2))) 94.816 * * [simplify]: iters left: 6 (16 enodes) 94.826 * * [simplify]: iters left: 5 (53 enodes) 94.842 * * [simplify]: iters left: 4 (65 enodes) 94.863 * * [simplify]: iters left: 3 (84 enodes) 94.888 * * [simplify]: iters left: 2 (90 enodes) 94.911 * * [simplify]: iters left: 1 (98 enodes) 94.926 * * [simplify]: Extracting #0: cost 1 inf + 0 94.926 * * [simplify]: Extracting #1: cost 4 inf + 0 94.926 * * [simplify]: Extracting #2: cost 8 inf + 0 94.926 * * [simplify]: Extracting #3: cost 24 inf + 0 94.926 * * [simplify]: Extracting #4: cost 33 inf + 445 94.927 * * [simplify]: Extracting #5: cost 30 inf + 1193 94.927 * * [simplify]: Extracting #6: cost 27 inf + 2746 94.927 * * [simplify]: Extracting #7: cost 23 inf + 3011 94.928 * * [simplify]: Extracting #8: cost 13 inf + 4912 94.930 * * [simplify]: Extracting #9: cost 2 inf + 9150 94.931 * * [simplify]: Extracting #10: cost 0 inf + 10118 94.933 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 94.933 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 94.933 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 94.933 * * [simplify]: iters left: 6 (18 enodes) 94.938 * * [simplify]: iters left: 5 (63 enodes) 94.954 * * [simplify]: iters left: 4 (78 enodes) 94.979 * * [simplify]: iters left: 3 (105 enodes) 95.010 * * [simplify]: iters left: 2 (113 enodes) 95.031 * * [simplify]: iters left: 1 (126 enodes) 95.049 * * [simplify]: Extracting #0: cost 1 inf + 0 95.049 * * [simplify]: Extracting #1: cost 8 inf + 0 95.049 * * [simplify]: Extracting #2: cost 13 inf + 1 95.049 * * [simplify]: Extracting #3: cost 30 inf + 1 95.049 * * [simplify]: Extracting #4: cost 48 inf + 1 95.049 * * [simplify]: Extracting #5: cost 43 inf + 188 95.050 * * [simplify]: Extracting #6: cost 19 inf + 5241 95.052 * * [simplify]: Extracting #7: cost 1 inf + 11455 95.054 * * [simplify]: Extracting #8: cost 0 inf + 11818 95.058 * [simplify]: Simplified to (* (sqrt (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (+ (* a2 a2) (* a1 a1)))) 95.058 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (sqrt 2))) (* (sqrt (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 95.058 * * * * [progress]: [ 243 / 2703 ] simplifiying candidate # 95.059 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 95.059 * * [simplify]: iters left: 6 (22 enodes) 95.072 * * [simplify]: iters left: 5 (90 enodes) 95.107 * * [simplify]: iters left: 4 (160 enodes) 95.170 * * [simplify]: iters left: 3 (280 enodes) 95.267 * * [simplify]: Extracting #0: cost 1 inf + 0 95.267 * * [simplify]: Extracting #1: cost 8 inf + 0 95.267 * * [simplify]: Extracting #2: cost 17 inf + 0 95.268 * * [simplify]: Extracting #3: cost 32 inf + 0 95.268 * * [simplify]: Extracting #4: cost 70 inf + 365 95.269 * * [simplify]: Extracting #5: cost 113 inf + 1068 95.272 * * [simplify]: Extracting #6: cost 69 inf + 12938 95.278 * * [simplify]: Extracting #7: cost 27 inf + 25721 95.286 * * [simplify]: Extracting #8: cost 7 inf + 33010 95.295 * * [simplify]: Extracting #9: cost 0 inf + 36029 95.303 * [simplify]: Simplified to (* (sqrt (+ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (* (* (* a1 a1) a1) (* (* a1 a1) a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))) 95.304 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (* (* (* a1 a1) a1) (* (* a1 a1) a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 95.304 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 95.305 * * [simplify]: iters left: 6 (22 enodes) 95.316 * * [simplify]: iters left: 5 (93 enodes) 95.352 * * [simplify]: iters left: 4 (172 enodes) 95.416 * * [simplify]: iters left: 3 (305 enodes) 95.512 * * [simplify]: iters left: 2 (441 enodes) 95.695 * * [simplify]: Extracting #0: cost 1 inf + 0 95.695 * * [simplify]: Extracting #1: cost 4 inf + 0 95.695 * * [simplify]: Extracting #2: cost 8 inf + 0 95.695 * * [simplify]: Extracting #3: cost 42 inf + 0 95.695 * * [simplify]: Extracting #4: cost 183 inf + 0 95.696 * * [simplify]: Extracting #5: cost 251 inf + 249 95.699 * * [simplify]: Extracting #6: cost 154 inf + 16343 95.707 * * [simplify]: Extracting #7: cost 11 inf + 42092 95.716 * * [simplify]: Extracting #8: cost 1 inf + 44425 95.732 * * [simplify]: Extracting #9: cost 0 inf + 45129 95.742 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) 95.742 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (* (* (* a1 a1) a1) (* (* a1 a1) a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))))) 95.743 * * * * [progress]: [ 244 / 2703 ] simplifiying candidate # 95.743 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 95.743 * * [simplify]: iters left: 6 (21 enodes) 95.748 * * [simplify]: iters left: 5 (82 enodes) 95.762 * * [simplify]: iters left: 4 (126 enodes) 95.803 * * [simplify]: iters left: 3 (204 enodes) 95.877 * * [simplify]: iters left: 2 (363 enodes) 96.036 * * [simplify]: Extracting #0: cost 1 inf + 0 96.036 * * [simplify]: Extracting #1: cost 8 inf + 0 96.036 * * [simplify]: Extracting #2: cost 17 inf + 0 96.036 * * [simplify]: Extracting #3: cost 80 inf + 0 96.037 * * [simplify]: Extracting #4: cost 186 inf + 486 96.039 * * [simplify]: Extracting #5: cost 193 inf + 9177 96.046 * * [simplify]: Extracting #6: cost 61 inf + 35489 96.063 * * [simplify]: Extracting #7: cost 12 inf + 46500 96.082 * * [simplify]: Extracting #8: cost 0 inf + 50168 96.102 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 96.102 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 96.103 * [simplify]: Simplifying (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))) 96.103 * * [simplify]: iters left: 6 (18 enodes) 96.116 * * [simplify]: iters left: 5 (64 enodes) 96.130 * * [simplify]: iters left: 4 (89 enodes) 96.144 * * [simplify]: iters left: 3 (125 enodes) 96.163 * * [simplify]: iters left: 2 (172 enodes) 96.197 * * [simplify]: iters left: 1 (263 enodes) 96.253 * * [simplify]: Extracting #0: cost 1 inf + 0 96.253 * * [simplify]: Extracting #1: cost 4 inf + 0 96.253 * * [simplify]: Extracting #2: cost 8 inf + 0 96.253 * * [simplify]: Extracting #3: cost 43 inf + 0 96.253 * * [simplify]: Extracting #4: cost 93 inf + 0 96.254 * * [simplify]: Extracting #5: cost 90 inf + 248 96.254 * * [simplify]: Extracting #6: cost 47 inf + 5268 96.257 * * [simplify]: Extracting #7: cost 4 inf + 14345 96.260 * * [simplify]: Extracting #8: cost 0 inf + 16059 96.264 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (sqrt (- (* a1 a1) (* a2 a2)))) 96.264 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 96.264 * * * * [progress]: [ 245 / 2703 ] simplifiying candidate # 96.264 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 96.264 * * [simplify]: iters left: 6 (22 enodes) 96.270 * * [simplify]: iters left: 5 (79 enodes) 96.285 * * [simplify]: iters left: 4 (127 enodes) 96.319 * * [simplify]: iters left: 3 (230 enodes) 96.394 * * [simplify]: iters left: 2 (368 enodes) 96.526 * * [simplify]: iters left: 1 (422 enodes) 96.649 * * [simplify]: Extracting #0: cost 1 inf + 0 96.649 * * [simplify]: Extracting #1: cost 35 inf + 0 96.649 * * [simplify]: Extracting #2: cost 71 inf + 0 96.649 * * [simplify]: Extracting #3: cost 79 inf + 0 96.651 * * [simplify]: Extracting #4: cost 83 inf + 62 96.651 * * [simplify]: Extracting #5: cost 83 inf + 767 96.652 * * [simplify]: Extracting #6: cost 82 inf + 1212 96.652 * * [simplify]: Extracting #7: cost 75 inf + 1539 96.653 * * [simplify]: Extracting #8: cost 63 inf + 5412 96.656 * * [simplify]: Extracting #9: cost 41 inf + 18291 96.665 * * [simplify]: Extracting #10: cost 6 inf + 43485 96.677 * * [simplify]: Extracting #11: cost 0 inf + 47566 96.690 * * [simplify]: Extracting #12: cost 0 inf + 47526 96.712 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 96.713 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 96.713 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 96.714 * * [simplify]: iters left: 6 (19 enodes) 96.721 * * [simplify]: iters left: 5 (62 enodes) 96.730 * * [simplify]: iters left: 4 (70 enodes) 96.741 * * [simplify]: iters left: 3 (73 enodes) 96.756 * * [simplify]: Extracting #0: cost 1 inf + 0 96.756 * * [simplify]: Extracting #1: cost 8 inf + 0 96.756 * * [simplify]: Extracting #2: cost 17 inf + 0 96.756 * * [simplify]: Extracting #3: cost 25 inf + 0 96.756 * * [simplify]: Extracting #4: cost 29 inf + 62 96.757 * * [simplify]: Extracting #5: cost 31 inf + 405 96.757 * * [simplify]: Extracting #6: cost 31 inf + 689 96.757 * * [simplify]: Extracting #7: cost 25 inf + 1095 96.758 * * [simplify]: Extracting #8: cost 16 inf + 2673 96.759 * * [simplify]: Extracting #9: cost 6 inf + 6864 96.763 * * [simplify]: Extracting #10: cost 0 inf + 10526 96.766 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 96.766 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 96.767 * * * * [progress]: [ 246 / 2703 ] simplifiying candidate # 96.767 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 96.767 * * [simplify]: iters left: 6 (21 enodes) 96.778 * * [simplify]: iters left: 5 (74 enodes) 96.790 * * [simplify]: iters left: 4 (108 enodes) 96.806 * * [simplify]: iters left: 3 (154 enodes) 96.832 * * [simplify]: iters left: 2 (200 enodes) 96.866 * * [simplify]: iters left: 1 (214 enodes) 96.901 * * [simplify]: Extracting #0: cost 1 inf + 0 96.901 * * [simplify]: Extracting #1: cost 23 inf + 0 96.902 * * [simplify]: Extracting #2: cost 47 inf + 0 96.902 * * [simplify]: Extracting #3: cost 55 inf + 0 96.902 * * [simplify]: Extracting #4: cost 59 inf + 62 96.902 * * [simplify]: Extracting #5: cost 59 inf + 767 96.902 * * [simplify]: Extracting #6: cost 58 inf + 1132 96.903 * * [simplify]: Extracting #7: cost 51 inf + 1539 96.903 * * [simplify]: Extracting #8: cost 43 inf + 3437 96.905 * * [simplify]: Extracting #9: cost 26 inf + 12498 96.909 * * [simplify]: Extracting #10: cost 8 inf + 24086 96.915 * * [simplify]: Extracting #11: cost 0 inf + 29476 96.921 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 96.921 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 96.922 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 96.922 * * [simplify]: iters left: 6 (19 enodes) 96.928 * * [simplify]: iters left: 5 (62 enodes) 96.944 * * [simplify]: iters left: 4 (70 enodes) 96.955 * * [simplify]: iters left: 3 (73 enodes) 96.966 * * [simplify]: Extracting #0: cost 1 inf + 0 96.967 * * [simplify]: Extracting #1: cost 8 inf + 0 96.967 * * [simplify]: Extracting #2: cost 17 inf + 0 96.967 * * [simplify]: Extracting #3: cost 25 inf + 0 96.967 * * [simplify]: Extracting #4: cost 29 inf + 62 96.967 * * [simplify]: Extracting #5: cost 31 inf + 405 96.967 * * [simplify]: Extracting #6: cost 31 inf + 689 96.967 * * [simplify]: Extracting #7: cost 25 inf + 1095 96.968 * * [simplify]: Extracting #8: cost 16 inf + 2673 96.968 * * [simplify]: Extracting #9: cost 6 inf + 6744 96.970 * * [simplify]: Extracting #10: cost 0 inf + 10206 96.971 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 96.971 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 96.971 * * * * [progress]: [ 247 / 2703 ] simplifiying candidate # 96.971 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 96.972 * * [simplify]: iters left: 6 (23 enodes) 96.977 * * [simplify]: iters left: 5 (84 enodes) 96.991 * * [simplify]: iters left: 4 (141 enodes) 97.020 * * [simplify]: iters left: 3 (302 enodes) 97.134 * * [simplify]: Extracting #0: cost 1 inf + 0 97.134 * * [simplify]: Extracting #1: cost 95 inf + 0 97.136 * * [simplify]: Extracting #2: cost 199 inf + 0 97.137 * * [simplify]: Extracting #3: cost 208 inf + 0 97.142 * * [simplify]: Extracting #4: cost 209 inf + 586 97.144 * * [simplify]: Extracting #5: cost 214 inf + 767 97.146 * * [simplify]: Extracting #6: cost 200 inf + 2202 97.150 * * [simplify]: Extracting #7: cost 182 inf + 8602 97.160 * * [simplify]: Extracting #8: cost 138 inf + 35814 97.205 * * [simplify]: Extracting #9: cost 24 inf + 124266 97.266 * * [simplify]: Extracting #10: cost 0 inf + 143278 97.326 * * [simplify]: Extracting #11: cost 0 inf + 143158 97.387 * [simplify]: Simplified to (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 97.387 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 97.388 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 97.388 * * [simplify]: iters left: 6 (20 enodes) 97.398 * * [simplify]: iters left: 5 (67 enodes) 97.418 * * [simplify]: iters left: 4 (84 enodes) 97.444 * * [simplify]: iters left: 3 (107 enodes) 97.460 * * [simplify]: iters left: 2 (126 enodes) 97.481 * * [simplify]: iters left: 1 (145 enodes) 97.501 * * [simplify]: Extracting #0: cost 1 inf + 0 97.501 * * [simplify]: Extracting #1: cost 21 inf + 0 97.502 * * [simplify]: Extracting #2: cost 44 inf + 0 97.502 * * [simplify]: Extracting #3: cost 55 inf + 0 97.502 * * [simplify]: Extracting #4: cost 61 inf + 62 97.502 * * [simplify]: Extracting #5: cost 53 inf + 1635 97.503 * * [simplify]: Extracting #6: cost 47 inf + 2643 97.503 * * [simplify]: Extracting #7: cost 29 inf + 8628 97.507 * * [simplify]: Extracting #8: cost 3 inf + 23795 97.514 * * [simplify]: Extracting #9: cost 0 inf + 25384 97.522 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 97.522 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 97.522 * * * * [progress]: [ 248 / 2703 ] simplifiying candidate # 97.523 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 97.523 * * [simplify]: iters left: 6 (24 enodes) 97.535 * * [simplify]: iters left: 5 (86 enodes) 97.553 * * [simplify]: iters left: 4 (135 enodes) 97.584 * * [simplify]: iters left: 3 (251 enodes) 97.663 * * [simplify]: Extracting #0: cost 1 inf + 0 97.664 * * [simplify]: Extracting #1: cost 69 inf + 0 97.664 * * [simplify]: Extracting #2: cost 124 inf + 0 97.665 * * [simplify]: Extracting #3: cost 135 inf + 0 97.665 * * [simplify]: Extracting #4: cost 138 inf + 525 97.666 * * [simplify]: Extracting #5: cost 142 inf + 767 97.666 * * [simplify]: Extracting #6: cost 134 inf + 1175 97.669 * * [simplify]: Extracting #7: cost 91 inf + 20574 97.683 * * [simplify]: Extracting #8: cost 18 inf + 72077 97.706 * * [simplify]: Extracting #9: cost 0 inf + 87065 97.724 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 97.724 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 97.725 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 97.725 * * [simplify]: iters left: 6 (21 enodes) 97.730 * * [simplify]: iters left: 5 (70 enodes) 97.747 * * [simplify]: iters left: 4 (87 enodes) 97.776 * * [simplify]: iters left: 3 (110 enodes) 97.807 * * [simplify]: iters left: 2 (129 enodes) 97.842 * * [simplify]: iters left: 1 (148 enodes) 97.868 * * [simplify]: Extracting #0: cost 1 inf + 0 97.868 * * [simplify]: Extracting #1: cost 22 inf + 0 97.868 * * [simplify]: Extracting #2: cost 45 inf + 0 97.868 * * [simplify]: Extracting #3: cost 57 inf + 0 97.868 * * [simplify]: Extracting #4: cost 64 inf + 62 97.869 * * [simplify]: Extracting #5: cost 59 inf + 1091 97.869 * * [simplify]: Extracting #6: cost 50 inf + 2643 97.870 * * [simplify]: Extracting #7: cost 34 inf + 7803 97.872 * * [simplify]: Extracting #8: cost 9 inf + 21963 97.877 * * [simplify]: Extracting #9: cost 0 inf + 27012 97.883 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))) 97.883 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))))) 97.884 * * * * [progress]: [ 249 / 2703 ] simplifiying candidate # 97.884 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 97.884 * * [simplify]: iters left: 6 (22 enodes) 97.895 * * [simplify]: iters left: 5 (79 enodes) 97.920 * * [simplify]: iters left: 4 (128 enodes) 97.965 * * [simplify]: iters left: 3 (244 enodes) 98.073 * * [simplify]: Extracting #0: cost 1 inf + 0 98.073 * * [simplify]: Extracting #1: cost 70 inf + 0 98.073 * * [simplify]: Extracting #2: cost 124 inf + 0 98.074 * * [simplify]: Extracting #3: cost 133 inf + 0 98.074 * * [simplify]: Extracting #4: cost 135 inf + 525 98.075 * * [simplify]: Extracting #5: cost 139 inf + 767 98.075 * * [simplify]: Extracting #6: cost 130 inf + 1216 98.078 * * [simplify]: Extracting #7: cost 91 inf + 19107 98.092 * * [simplify]: Extracting #8: cost 8 inf + 77031 98.121 * * [simplify]: Extracting #9: cost 0 inf + 82721 98.155 * * [simplify]: Extracting #10: cost 0 inf + 82681 98.182 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 98.182 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 98.182 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 98.183 * * [simplify]: iters left: 6 (20 enodes) 98.188 * * [simplify]: iters left: 5 (67 enodes) 98.198 * * [simplify]: iters left: 4 (84 enodes) 98.211 * * [simplify]: iters left: 3 (107 enodes) 98.229 * * [simplify]: iters left: 2 (126 enodes) 98.252 * * [simplify]: iters left: 1 (145 enodes) 98.278 * * [simplify]: Extracting #0: cost 1 inf + 0 98.278 * * [simplify]: Extracting #1: cost 21 inf + 0 98.278 * * [simplify]: Extracting #2: cost 44 inf + 0 98.279 * * [simplify]: Extracting #3: cost 55 inf + 0 98.279 * * [simplify]: Extracting #4: cost 61 inf + 62 98.279 * * [simplify]: Extracting #5: cost 53 inf + 1635 98.280 * * [simplify]: Extracting #6: cost 47 inf + 2643 98.282 * * [simplify]: Extracting #7: cost 29 inf + 8548 98.288 * * [simplify]: Extracting #8: cost 3 inf + 23035 98.295 * * [simplify]: Extracting #9: cost 0 inf + 24504 98.302 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 98.302 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 98.303 * * * * [progress]: [ 250 / 2703 ] simplifiying candidate # 98.303 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 98.304 * * [simplify]: iters left: 6 (23 enodes) 98.315 * * [simplify]: iters left: 5 (84 enodes) 98.333 * * [simplify]: iters left: 4 (121 enodes) 98.356 * * [simplify]: iters left: 3 (192 enodes) 98.426 * * [simplify]: iters left: 2 (312 enodes) 98.549 * * [simplify]: Extracting #0: cost 1 inf + 0 98.549 * * [simplify]: Extracting #1: cost 54 inf + 0 98.550 * * [simplify]: Extracting #2: cost 98 inf + 1 98.551 * * [simplify]: Extracting #3: cost 106 inf + 1 98.551 * * [simplify]: Extracting #4: cost 106 inf + 587 98.552 * * [simplify]: Extracting #5: cost 110 inf + 768 98.554 * * [simplify]: Extracting #6: cost 108 inf + 1294 98.555 * * [simplify]: Extracting #7: cost 100 inf + 2243 98.560 * * [simplify]: Extracting #8: cost 54 inf + 25207 98.572 * * [simplify]: Extracting #9: cost 3 inf + 60190 98.588 * * [simplify]: Extracting #10: cost 0 inf + 62422 98.604 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 98.604 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 98.604 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 98.605 * * [simplify]: iters left: 6 (19 enodes) 98.609 * * [simplify]: iters left: 5 (64 enodes) 98.619 * * [simplify]: iters left: 4 (81 enodes) 98.636 * * [simplify]: iters left: 3 (104 enodes) 98.656 * * [simplify]: iters left: 2 (123 enodes) 99.052 * * [simplify]: iters left: 1 (142 enodes) 99.086 * * [simplify]: Extracting #0: cost 1 inf + 0 99.086 * * [simplify]: Extracting #1: cost 21 inf + 0 99.086 * * [simplify]: Extracting #2: cost 44 inf + 0 99.086 * * [simplify]: Extracting #3: cost 56 inf + 0 99.087 * * [simplify]: Extracting #4: cost 62 inf + 123 99.087 * * [simplify]: Extracting #5: cost 50 inf + 1175 99.089 * * [simplify]: Extracting #6: cost 29 inf + 7664 99.095 * * [simplify]: Extracting #7: cost 4 inf + 20907 99.102 * * [simplify]: Extracting #8: cost 0 inf + 23300 99.109 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 99.109 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 99.110 * * * * [progress]: [ 251 / 2703 ] simplifiying candidate # 99.110 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 99.110 * * [simplify]: iters left: 6 (22 enodes) 99.121 * * [simplify]: iters left: 5 (79 enodes) 99.146 * * [simplify]: iters left: 4 (128 enodes) 99.182 * * [simplify]: iters left: 3 (244 enodes) 99.274 * * [simplify]: Extracting #0: cost 1 inf + 0 99.274 * * [simplify]: Extracting #1: cost 70 inf + 0 99.275 * * [simplify]: Extracting #2: cost 124 inf + 0 99.275 * * [simplify]: Extracting #3: cost 133 inf + 0 99.276 * * [simplify]: Extracting #4: cost 135 inf + 525 99.277 * * [simplify]: Extracting #5: cost 139 inf + 767 99.279 * * [simplify]: Extracting #6: cost 130 inf + 1216 99.284 * * [simplify]: Extracting #7: cost 91 inf + 19107 99.311 * * [simplify]: Extracting #8: cost 8 inf + 77031 99.345 * * [simplify]: Extracting #9: cost 0 inf + 82721 99.380 * * [simplify]: Extracting #10: cost 0 inf + 82681 99.404 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 99.404 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 99.405 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 99.405 * * [simplify]: iters left: 6 (20 enodes) 99.409 * * [simplify]: iters left: 5 (67 enodes) 99.422 * * [simplify]: iters left: 4 (84 enodes) 99.439 * * [simplify]: iters left: 3 (107 enodes) 99.454 * * [simplify]: iters left: 2 (126 enodes) 99.484 * * [simplify]: iters left: 1 (145 enodes) 99.510 * * [simplify]: Extracting #0: cost 1 inf + 0 99.510 * * [simplify]: Extracting #1: cost 21 inf + 0 99.510 * * [simplify]: Extracting #2: cost 44 inf + 0 99.510 * * [simplify]: Extracting #3: cost 55 inf + 0 99.510 * * [simplify]: Extracting #4: cost 61 inf + 62 99.511 * * [simplify]: Extracting #5: cost 53 inf + 1635 99.511 * * [simplify]: Extracting #6: cost 47 inf + 2643 99.512 * * [simplify]: Extracting #7: cost 29 inf + 8548 99.515 * * [simplify]: Extracting #8: cost 3 inf + 23035 99.520 * * [simplify]: Extracting #9: cost 0 inf + 24504 99.525 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 99.525 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 99.526 * * * * [progress]: [ 252 / 2703 ] simplifiying candidate # 99.526 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 99.527 * * [simplify]: iters left: 6 (22 enodes) 99.538 * * [simplify]: iters left: 5 (79 enodes) 99.563 * * [simplify]: iters left: 4 (118 enodes) 99.603 * * [simplify]: iters left: 3 (193 enodes) 99.698 * * [simplify]: iters left: 2 (324 enodes) 99.879 * * [simplify]: Extracting #0: cost 1 inf + 0 99.880 * * [simplify]: Extracting #1: cost 49 inf + 0 99.880 * * [simplify]: Extracting #2: cost 92 inf + 1 99.881 * * [simplify]: Extracting #3: cost 100 inf + 1 99.882 * * [simplify]: Extracting #4: cost 100 inf + 587 99.883 * * [simplify]: Extracting #5: cost 104 inf + 768 99.884 * * [simplify]: Extracting #6: cost 104 inf + 1092 99.885 * * [simplify]: Extracting #7: cost 94 inf + 2243 99.890 * * [simplify]: Extracting #8: cost 54 inf + 22763 99.912 * * [simplify]: Extracting #9: cost 7 inf + 53266 99.938 * * [simplify]: Extracting #10: cost 0 inf + 57856 99.962 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 99.962 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 99.963 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 99.963 * * [simplify]: iters left: 6 (19 enodes) 99.968 * * [simplify]: iters left: 5 (64 enodes) 99.978 * * [simplify]: iters left: 4 (81 enodes) 99.993 * * [simplify]: iters left: 3 (104 enodes) 100.019 * * [simplify]: iters left: 2 (123 enodes) 100.038 * * [simplify]: iters left: 1 (142 enodes) 100.079 * * [simplify]: Extracting #0: cost 1 inf + 0 100.079 * * [simplify]: Extracting #1: cost 21 inf + 0 100.079 * * [simplify]: Extracting #2: cost 44 inf + 0 100.080 * * [simplify]: Extracting #3: cost 56 inf + 0 100.080 * * [simplify]: Extracting #4: cost 62 inf + 123 100.081 * * [simplify]: Extracting #5: cost 50 inf + 1175 100.082 * * [simplify]: Extracting #6: cost 29 inf + 7664 100.088 * * [simplify]: Extracting #7: cost 4 inf + 20907 100.095 * * [simplify]: Extracting #8: cost 0 inf + 23300 100.102 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 100.102 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 100.102 * * * * [progress]: [ 253 / 2703 ] simplifiying candidate # 100.103 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 100.103 * * [simplify]: iters left: 6 (26 enodes) 100.116 * * [simplify]: iters left: 5 (94 enodes) 100.132 * * [simplify]: iters left: 4 (151 enodes) 100.170 * * [simplify]: iters left: 3 (314 enodes) 100.340 * * [simplify]: Extracting #0: cost 1 inf + 0 100.341 * * [simplify]: Extracting #1: cost 97 inf + 0 100.341 * * [simplify]: Extracting #2: cost 203 inf + 0 100.342 * * [simplify]: Extracting #3: cost 215 inf + 0 100.343 * * [simplify]: Extracting #4: cost 219 inf + 767 100.344 * * [simplify]: Extracting #5: cost 214 inf + 1817 100.346 * * [simplify]: Extracting #6: cost 195 inf + 5808 100.350 * * [simplify]: Extracting #7: cost 151 inf + 29510 100.379 * * [simplify]: Extracting #8: cost 27 inf + 133239 100.435 * * [simplify]: Extracting #9: cost 0 inf + 156980 100.484 * * [simplify]: Extracting #10: cost 0 inf + 156900 100.551 * * [simplify]: Extracting #11: cost 0 inf + 156860 100.593 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2)))) 100.593 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 100.594 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 100.594 * * [simplify]: iters left: 6 (22 enodes) 100.605 * * [simplify]: iters left: 5 (73 enodes) 100.627 * * [simplify]: iters left: 4 (90 enodes) 100.645 * * [simplify]: iters left: 3 (113 enodes) 100.661 * * [simplify]: iters left: 2 (132 enodes) 100.696 * * [simplify]: iters left: 1 (151 enodes) 100.720 * * [simplify]: Extracting #0: cost 1 inf + 0 100.720 * * [simplify]: Extracting #1: cost 22 inf + 0 100.720 * * [simplify]: Extracting #2: cost 45 inf + 0 100.720 * * [simplify]: Extracting #3: cost 57 inf + 0 100.720 * * [simplify]: Extracting #4: cost 64 inf + 123 100.720 * * [simplify]: Extracting #5: cost 61 inf + 931 100.721 * * [simplify]: Extracting #6: cost 54 inf + 1378 100.721 * * [simplify]: Extracting #7: cost 33 inf + 7665 100.724 * * [simplify]: Extracting #8: cost 8 inf + 23246 100.729 * * [simplify]: Extracting #9: cost 0 inf + 28092 100.733 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 100.733 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))))) 100.733 * * * * [progress]: [ 254 / 2703 ] simplifiying candidate # 100.733 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 100.734 * * [simplify]: iters left: 6 (27 enodes) 100.742 * * [simplify]: iters left: 5 (96 enodes) 100.760 * * [simplify]: iters left: 4 (145 enodes) 100.794 * * [simplify]: iters left: 3 (263 enodes) 100.899 * * [simplify]: Extracting #0: cost 1 inf + 0 100.899 * * [simplify]: Extracting #1: cost 70 inf + 0 100.900 * * [simplify]: Extracting #2: cost 125 inf + 0 100.900 * * [simplify]: Extracting #3: cost 139 inf + 0 100.901 * * [simplify]: Extracting #4: cost 145 inf + 626 100.902 * * [simplify]: Extracting #5: cost 144 inf + 1252 100.903 * * [simplify]: Extracting #6: cost 134 inf + 1822 100.906 * * [simplify]: Extracting #7: cost 111 inf + 9480 100.925 * * [simplify]: Extracting #8: cost 31 inf + 67196 100.963 * * [simplify]: Extracting #9: cost 0 inf + 94815 101.001 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (cbrt (fabs (cbrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 101.001 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (cbrt (fabs (cbrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 101.002 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 101.003 * * [simplify]: iters left: 6 (23 enodes) 101.014 * * [simplify]: iters left: 5 (76 enodes) 101.040 * * [simplify]: iters left: 4 (93 enodes) 101.059 * * [simplify]: iters left: 3 (116 enodes) 101.077 * * [simplify]: iters left: 2 (135 enodes) 101.104 * * [simplify]: iters left: 1 (154 enodes) 101.131 * * [simplify]: Extracting #0: cost 1 inf + 0 101.131 * * [simplify]: Extracting #1: cost 22 inf + 0 101.133 * * [simplify]: Extracting #2: cost 45 inf + 0 101.133 * * [simplify]: Extracting #3: cost 58 inf + 0 101.134 * * [simplify]: Extracting #4: cost 67 inf + 62 101.134 * * [simplify]: Extracting #5: cost 64 inf + 770 101.135 * * [simplify]: Extracting #6: cost 57 inf + 1217 101.136 * * [simplify]: Extracting #7: cost 35 inf + 8766 101.139 * * [simplify]: Extracting #8: cost 17 inf + 18301 101.143 * * [simplify]: Extracting #9: cost 1 inf + 28312 101.148 * * [simplify]: Extracting #10: cost 0 inf + 28976 101.152 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (cbrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) 101.153 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (cbrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 101.153 * * * * [progress]: [ 255 / 2703 ] simplifiying candidate # 101.153 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 101.153 * * [simplify]: iters left: 6 (25 enodes) 101.161 * * [simplify]: iters left: 5 (89 enodes) 101.190 * * [simplify]: iters left: 4 (138 enodes) 101.223 * * [simplify]: iters left: 3 (254 enodes) 101.308 * * [simplify]: Extracting #0: cost 1 inf + 0 101.308 * * [simplify]: Extracting #1: cost 70 inf + 0 101.309 * * [simplify]: Extracting #2: cost 124 inf + 0 101.310 * * [simplify]: Extracting #3: cost 136 inf + 0 101.311 * * [simplify]: Extracting #4: cost 141 inf + 706 101.312 * * [simplify]: Extracting #5: cost 141 inf + 1091 101.313 * * [simplify]: Extracting #6: cost 129 inf + 1983 101.319 * * [simplify]: Extracting #7: cost 109 inf + 8632 101.341 * * [simplify]: Extracting #8: cost 29 inf + 66259 101.360 * * [simplify]: Extracting #9: cost 0 inf + 89487 101.379 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 101.379 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 101.379 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 101.380 * * [simplify]: iters left: 6 (22 enodes) 101.385 * * [simplify]: iters left: 5 (73 enodes) 101.397 * * [simplify]: iters left: 4 (90 enodes) 101.411 * * [simplify]: iters left: 3 (113 enodes) 101.446 * * [simplify]: iters left: 2 (132 enodes) 101.471 * * [simplify]: iters left: 1 (151 enodes) 101.496 * * [simplify]: Extracting #0: cost 1 inf + 0 101.496 * * [simplify]: Extracting #1: cost 22 inf + 0 101.496 * * [simplify]: Extracting #2: cost 45 inf + 0 101.496 * * [simplify]: Extracting #3: cost 57 inf + 0 101.497 * * [simplify]: Extracting #4: cost 64 inf + 123 101.497 * * [simplify]: Extracting #5: cost 61 inf + 931 101.498 * * [simplify]: Extracting #6: cost 54 inf + 1378 101.499 * * [simplify]: Extracting #7: cost 33 inf + 7665 101.505 * * [simplify]: Extracting #8: cost 8 inf + 22646 101.514 * * [simplify]: Extracting #9: cost 0 inf + 27212 101.522 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 101.523 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))))) 101.523 * * * * [progress]: [ 256 / 2703 ] simplifiying candidate # 101.523 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 101.524 * * [simplify]: iters left: 6 (26 enodes) 101.537 * * [simplify]: iters left: 5 (94 enodes) 101.571 * * [simplify]: iters left: 4 (131 enodes) 101.612 * * [simplify]: iters left: 3 (202 enodes) 101.688 * * [simplify]: iters left: 2 (322 enodes) 101.859 * * [simplify]: Extracting #0: cost 1 inf + 0 101.859 * * [simplify]: Extracting #1: cost 53 inf + 0 101.859 * * [simplify]: Extracting #2: cost 95 inf + 1 101.860 * * [simplify]: Extracting #3: cost 106 inf + 1 101.860 * * [simplify]: Extracting #4: cost 110 inf + 627 101.861 * * [simplify]: Extracting #5: cost 107 inf + 1374 101.861 * * [simplify]: Extracting #6: cost 104 inf + 2141 101.862 * * [simplify]: Extracting #7: cost 86 inf + 6652 101.866 * * [simplify]: Extracting #8: cost 54 inf + 24577 101.887 * * [simplify]: Extracting #9: cost 1 inf + 63810 101.914 * * [simplify]: Extracting #10: cost 0 inf + 64674 101.941 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (fabs (cbrt 2)))) 101.941 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 101.942 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 101.942 * * [simplify]: iters left: 6 (21 enodes) 101.952 * * [simplify]: iters left: 5 (70 enodes) 101.974 * * [simplify]: iters left: 4 (87 enodes) 102.000 * * [simplify]: iters left: 3 (110 enodes) 102.034 * * [simplify]: iters left: 2 (129 enodes) 102.069 * * [simplify]: iters left: 1 (148 enodes) 102.112 * * [simplify]: Extracting #0: cost 1 inf + 0 102.112 * * [simplify]: Extracting #1: cost 22 inf + 0 102.113 * * [simplify]: Extracting #2: cost 45 inf + 0 102.113 * * [simplify]: Extracting #3: cost 58 inf + 0 102.113 * * [simplify]: Extracting #4: cost 67 inf + 62 102.114 * * [simplify]: Extracting #5: cost 56 inf + 1014 102.115 * * [simplify]: Extracting #6: cost 39 inf + 5310 102.121 * * [simplify]: Extracting #7: cost 8 inf + 22306 102.128 * * [simplify]: Extracting #8: cost 0 inf + 26008 102.136 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (cbrt 2))))) 102.136 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) (/ (* (cbrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (cbrt 2))))))) 102.137 * * * * [progress]: [ 257 / 2703 ] simplifiying candidate # 102.137 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 102.138 * * [simplify]: iters left: 6 (25 enodes) 102.150 * * [simplify]: iters left: 5 (89 enodes) 102.181 * * [simplify]: iters left: 4 (138 enodes) 102.222 * * [simplify]: iters left: 3 (254 enodes) 102.305 * * [simplify]: Extracting #0: cost 1 inf + 0 102.306 * * [simplify]: Extracting #1: cost 70 inf + 0 102.306 * * [simplify]: Extracting #2: cost 124 inf + 0 102.307 * * [simplify]: Extracting #3: cost 136 inf + 0 102.307 * * [simplify]: Extracting #4: cost 141 inf + 706 102.308 * * [simplify]: Extracting #5: cost 141 inf + 1091 102.309 * * [simplify]: Extracting #6: cost 129 inf + 1983 102.310 * * [simplify]: Extracting #7: cost 109 inf + 8632 102.322 * * [simplify]: Extracting #8: cost 29 inf + 66259 102.357 * * [simplify]: Extracting #9: cost 0 inf + 89487 102.397 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 102.397 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 102.398 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 102.398 * * [simplify]: iters left: 6 (22 enodes) 102.408 * * [simplify]: iters left: 5 (73 enodes) 102.427 * * [simplify]: iters left: 4 (90 enodes) 102.441 * * [simplify]: iters left: 3 (113 enodes) 102.463 * * [simplify]: iters left: 2 (132 enodes) 102.499 * * [simplify]: iters left: 1 (151 enodes) 102.545 * * [simplify]: Extracting #0: cost 1 inf + 0 102.545 * * [simplify]: Extracting #1: cost 22 inf + 0 102.545 * * [simplify]: Extracting #2: cost 45 inf + 0 102.546 * * [simplify]: Extracting #3: cost 57 inf + 0 102.546 * * [simplify]: Extracting #4: cost 64 inf + 123 102.546 * * [simplify]: Extracting #5: cost 61 inf + 931 102.547 * * [simplify]: Extracting #6: cost 54 inf + 1378 102.549 * * [simplify]: Extracting #7: cost 33 inf + 7665 102.554 * * [simplify]: Extracting #8: cost 8 inf + 22646 102.563 * * [simplify]: Extracting #9: cost 0 inf + 27212 102.570 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 102.570 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))))) 102.571 * * * * [progress]: [ 258 / 2703 ] simplifiying candidate # 102.571 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 102.571 * * [simplify]: iters left: 6 (25 enodes) 102.578 * * [simplify]: iters left: 5 (89 enodes) 102.593 * * [simplify]: iters left: 4 (128 enodes) 102.626 * * [simplify]: iters left: 3 (203 enodes) 102.709 * * [simplify]: iters left: 2 (335 enodes) 102.866 * * [simplify]: Extracting #0: cost 1 inf + 0 102.866 * * [simplify]: Extracting #1: cost 50 inf + 0 102.866 * * [simplify]: Extracting #2: cost 95 inf + 1 102.867 * * [simplify]: Extracting #3: cost 106 inf + 1 102.867 * * [simplify]: Extracting #4: cost 111 inf + 566 102.868 * * [simplify]: Extracting #5: cost 103 inf + 2159 102.869 * * [simplify]: Extracting #6: cost 91 inf + 6586 102.870 * * [simplify]: Extracting #7: cost 84 inf + 7456 102.873 * * [simplify]: Extracting #8: cost 58 inf + 23205 102.884 * * [simplify]: Extracting #9: cost 3 inf + 62984 102.902 * * [simplify]: Extracting #10: cost 0 inf + 64936 102.930 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (fabs (cbrt 2)))) 102.930 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 102.931 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 102.931 * * [simplify]: iters left: 6 (21 enodes) 102.941 * * [simplify]: iters left: 5 (70 enodes) 102.957 * * [simplify]: iters left: 4 (87 enodes) 102.970 * * [simplify]: iters left: 3 (110 enodes) 102.986 * * [simplify]: iters left: 2 (129 enodes) 103.019 * * [simplify]: iters left: 1 (148 enodes) 103.041 * * [simplify]: Extracting #0: cost 1 inf + 0 103.041 * * [simplify]: Extracting #1: cost 22 inf + 0 103.041 * * [simplify]: Extracting #2: cost 45 inf + 0 103.042 * * [simplify]: Extracting #3: cost 58 inf + 0 103.042 * * [simplify]: Extracting #4: cost 67 inf + 62 103.042 * * [simplify]: Extracting #5: cost 56 inf + 1014 103.043 * * [simplify]: Extracting #6: cost 39 inf + 5310 103.045 * * [simplify]: Extracting #7: cost 8 inf + 22306 103.049 * * [simplify]: Extracting #8: cost 0 inf + 26008 103.056 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (cbrt 2))))) 103.057 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) (/ (* (cbrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (cbrt 2))))))) 103.057 * * * * [progress]: [ 259 / 2703 ] simplifiying candidate # 103.057 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 103.058 * * [simplify]: iters left: 6 (24 enodes) 103.069 * * [simplify]: iters left: 5 (87 enodes) 103.084 * * [simplify]: iters left: 4 (144 enodes) 103.114 * * [simplify]: iters left: 3 (305 enodes) 103.255 * * [simplify]: Extracting #0: cost 1 inf + 0 103.256 * * [simplify]: Extracting #1: cost 95 inf + 0 103.257 * * [simplify]: Extracting #2: cost 199 inf + 0 103.261 * * [simplify]: Extracting #3: cost 210 inf + 0 103.263 * * [simplify]: Extracting #4: cost 212 inf + 767 103.265 * * [simplify]: Extracting #5: cost 212 inf + 971 103.268 * * [simplify]: Extracting #6: cost 183 inf + 9694 103.304 * * [simplify]: Extracting #7: cost 35 inf + 116083 103.346 * * [simplify]: Extracting #8: cost 1 inf + 143856 103.395 * * [simplify]: Extracting #9: cost 0 inf + 144480 103.442 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 103.443 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 103.443 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 103.443 * * [simplify]: iters left: 6 (21 enodes) 103.449 * * [simplify]: iters left: 5 (70 enodes) 103.460 * * [simplify]: iters left: 4 (87 enodes) 103.479 * * [simplify]: iters left: 3 (110 enodes) 103.510 * * [simplify]: iters left: 2 (129 enodes) 103.545 * * [simplify]: iters left: 1 (148 enodes) 103.589 * * [simplify]: Extracting #0: cost 1 inf + 0 103.590 * * [simplify]: Extracting #1: cost 22 inf + 0 103.590 * * [simplify]: Extracting #2: cost 45 inf + 0 103.590 * * [simplify]: Extracting #3: cost 57 inf + 0 103.590 * * [simplify]: Extracting #4: cost 64 inf + 62 103.591 * * [simplify]: Extracting #5: cost 59 inf + 971 103.592 * * [simplify]: Extracting #6: cost 52 inf + 1418 103.593 * * [simplify]: Extracting #7: cost 34 inf + 7261 103.598 * * [simplify]: Extracting #8: cost 9 inf + 21441 103.606 * * [simplify]: Extracting #9: cost 0 inf + 26330 103.615 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 103.615 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 103.615 * * * * [progress]: [ 260 / 2703 ] simplifiying candidate # 103.615 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 103.615 * * [simplify]: iters left: 6 (25 enodes) 103.621 * * [simplify]: iters left: 5 (89 enodes) 103.635 * * [simplify]: iters left: 4 (138 enodes) 103.668 * * [simplify]: iters left: 3 (254 enodes) 103.767 * * [simplify]: Extracting #0: cost 1 inf + 0 103.767 * * [simplify]: Extracting #1: cost 70 inf + 0 103.768 * * [simplify]: Extracting #2: cost 125 inf + 0 103.769 * * [simplify]: Extracting #3: cost 138 inf + 0 103.770 * * [simplify]: Extracting #4: cost 142 inf + 706 103.772 * * [simplify]: Extracting #5: cost 141 inf + 1091 103.773 * * [simplify]: Extracting #6: cost 131 inf + 1781 103.777 * * [simplify]: Extracting #7: cost 97 inf + 16533 103.801 * * [simplify]: Extracting #8: cost 16 inf + 76610 103.831 * * [simplify]: Extracting #9: cost 0 inf + 88891 103.850 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) 103.850 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 103.851 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 103.851 * * [simplify]: iters left: 6 (22 enodes) 103.856 * * [simplify]: iters left: 5 (73 enodes) 103.877 * * [simplify]: iters left: 4 (90 enodes) 103.905 * * [simplify]: iters left: 3 (113 enodes) 103.922 * * [simplify]: iters left: 2 (132 enodes) 103.941 * * [simplify]: iters left: 1 (151 enodes) 103.968 * * [simplify]: Extracting #0: cost 1 inf + 0 103.968 * * [simplify]: Extracting #1: cost 22 inf + 0 103.968 * * [simplify]: Extracting #2: cost 45 inf + 0 103.969 * * [simplify]: Extracting #3: cost 58 inf + 0 103.969 * * [simplify]: Extracting #4: cost 65 inf + 123 103.969 * * [simplify]: Extracting #5: cost 61 inf + 931 103.969 * * [simplify]: Extracting #6: cost 54 inf + 1418 103.970 * * [simplify]: Extracting #7: cost 34 inf + 7927 103.972 * * [simplify]: Extracting #8: cost 23 inf + 13341 103.975 * * [simplify]: Extracting #9: cost 7 inf + 23131 103.980 * * [simplify]: Extracting #10: cost 0 inf + 27214 103.984 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))) 103.984 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))))) 103.985 * * * * [progress]: [ 261 / 2703 ] simplifiying candidate # 103.985 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 103.985 * * [simplify]: iters left: 6 (23 enodes) 103.991 * * [simplify]: iters left: 5 (82 enodes) 104.010 * * [simplify]: iters left: 4 (131 enodes) 104.034 * * [simplify]: iters left: 3 (249 enodes) 104.102 * * [simplify]: Extracting #0: cost 1 inf + 0 104.102 * * [simplify]: Extracting #1: cost 71 inf + 0 104.103 * * [simplify]: Extracting #2: cost 125 inf + 0 104.103 * * [simplify]: Extracting #3: cost 136 inf + 0 104.104 * * [simplify]: Extracting #4: cost 140 inf + 525 104.104 * * [simplify]: Extracting #5: cost 138 inf + 1091 104.105 * * [simplify]: Extracting #6: cost 129 inf + 1660 104.106 * * [simplify]: Extracting #7: cost 115 inf + 4866 104.111 * * [simplify]: Extracting #8: cost 65 inf + 33437 104.128 * * [simplify]: Extracting #9: cost 9 inf + 77272 104.146 * * [simplify]: Extracting #10: cost 0 inf + 84387 104.168 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 104.168 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 104.169 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 104.169 * * [simplify]: iters left: 6 (21 enodes) 104.174 * * [simplify]: iters left: 5 (70 enodes) 104.185 * * [simplify]: iters left: 4 (87 enodes) 104.205 * * [simplify]: iters left: 3 (110 enodes) 104.238 * * [simplify]: iters left: 2 (129 enodes) 104.274 * * [simplify]: iters left: 1 (148 enodes) 104.317 * * [simplify]: Extracting #0: cost 1 inf + 0 104.317 * * [simplify]: Extracting #1: cost 22 inf + 0 104.317 * * [simplify]: Extracting #2: cost 45 inf + 0 104.317 * * [simplify]: Extracting #3: cost 57 inf + 0 104.318 * * [simplify]: Extracting #4: cost 64 inf + 62 104.318 * * [simplify]: Extracting #5: cost 59 inf + 971 104.319 * * [simplify]: Extracting #6: cost 52 inf + 1418 104.320 * * [simplify]: Extracting #7: cost 34 inf + 7261 104.326 * * [simplify]: Extracting #8: cost 9 inf + 20841 104.334 * * [simplify]: Extracting #9: cost 0 inf + 25450 104.342 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 104.342 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 104.342 * * * * [progress]: [ 262 / 2703 ] simplifiying candidate # 104.343 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 104.343 * * [simplify]: iters left: 6 (24 enodes) 104.351 * * [simplify]: iters left: 5 (87 enodes) 104.365 * * [simplify]: iters left: 4 (124 enodes) 104.399 * * [simplify]: iters left: 3 (195 enodes) 104.462 * * [simplify]: iters left: 2 (315 enodes) 104.635 * * [simplify]: Extracting #0: cost 1 inf + 0 104.635 * * [simplify]: Extracting #1: cost 54 inf + 0 104.636 * * [simplify]: Extracting #2: cost 98 inf + 1 104.636 * * [simplify]: Extracting #3: cost 108 inf + 1 104.637 * * [simplify]: Extracting #4: cost 109 inf + 768 104.637 * * [simplify]: Extracting #5: cost 107 inf + 1213 104.638 * * [simplify]: Extracting #6: cost 107 inf + 1657 104.639 * * [simplify]: Extracting #7: cost 88 inf + 6030 104.642 * * [simplify]: Extracting #8: cost 62 inf + 19897 104.657 * * [simplify]: Extracting #9: cost 5 inf + 59085 104.678 * * [simplify]: Extracting #10: cost 0 inf + 63024 104.692 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt (sqrt 2)))) 104.692 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 104.692 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 104.692 * * [simplify]: iters left: 6 (20 enodes) 104.697 * * [simplify]: iters left: 5 (67 enodes) 104.713 * * [simplify]: iters left: 4 (84 enodes) 104.735 * * [simplify]: iters left: 3 (107 enodes) 104.750 * * [simplify]: iters left: 2 (126 enodes) 104.779 * * [simplify]: iters left: 1 (145 enodes) 104.813 * * [simplify]: Extracting #0: cost 1 inf + 0 104.814 * * [simplify]: Extracting #1: cost 21 inf + 0 104.814 * * [simplify]: Extracting #2: cost 44 inf + 0 104.814 * * [simplify]: Extracting #3: cost 57 inf + 0 104.814 * * [simplify]: Extracting #4: cost 65 inf + 62 104.814 * * [simplify]: Extracting #5: cost 50 inf + 1217 104.815 * * [simplify]: Extracting #6: cost 30 inf + 7705 104.818 * * [simplify]: Extracting #7: cost 4 inf + 20888 104.822 * * [simplify]: Extracting #8: cost 0 inf + 23462 104.825 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 104.825 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 104.826 * * * * [progress]: [ 263 / 2703 ] simplifiying candidate # 104.826 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 104.826 * * [simplify]: iters left: 6 (23 enodes) 104.831 * * [simplify]: iters left: 5 (82 enodes) 104.855 * * [simplify]: iters left: 4 (131 enodes) 104.903 * * [simplify]: iters left: 3 (249 enodes) 105.032 * * [simplify]: Extracting #0: cost 1 inf + 0 105.032 * * [simplify]: Extracting #1: cost 71 inf + 0 105.033 * * [simplify]: Extracting #2: cost 125 inf + 0 105.034 * * [simplify]: Extracting #3: cost 136 inf + 0 105.035 * * [simplify]: Extracting #4: cost 140 inf + 525 105.036 * * [simplify]: Extracting #5: cost 138 inf + 1091 105.037 * * [simplify]: Extracting #6: cost 129 inf + 1660 105.039 * * [simplify]: Extracting #7: cost 115 inf + 4866 105.049 * * [simplify]: Extracting #8: cost 65 inf + 33437 105.068 * * [simplify]: Extracting #9: cost 9 inf + 77272 105.086 * * [simplify]: Extracting #10: cost 0 inf + 84387 105.117 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 105.117 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 105.117 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 105.118 * * [simplify]: iters left: 6 (21 enodes) 105.128 * * [simplify]: iters left: 5 (70 enodes) 105.152 * * [simplify]: iters left: 4 (87 enodes) 105.167 * * [simplify]: iters left: 3 (110 enodes) 105.183 * * [simplify]: iters left: 2 (129 enodes) 105.218 * * [simplify]: iters left: 1 (148 enodes) 105.261 * * [simplify]: Extracting #0: cost 1 inf + 0 105.261 * * [simplify]: Extracting #1: cost 22 inf + 0 105.262 * * [simplify]: Extracting #2: cost 45 inf + 0 105.262 * * [simplify]: Extracting #3: cost 57 inf + 0 105.262 * * [simplify]: Extracting #4: cost 64 inf + 62 105.263 * * [simplify]: Extracting #5: cost 59 inf + 971 105.263 * * [simplify]: Extracting #6: cost 52 inf + 1418 105.265 * * [simplify]: Extracting #7: cost 34 inf + 7261 105.272 * * [simplify]: Extracting #8: cost 9 inf + 20841 105.277 * * [simplify]: Extracting #9: cost 0 inf + 25450 105.281 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 105.281 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 105.281 * * * * [progress]: [ 264 / 2703 ] simplifiying candidate # 105.281 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 105.281 * * [simplify]: iters left: 6 (23 enodes) 105.287 * * [simplify]: iters left: 5 (82 enodes) 105.301 * * [simplify]: iters left: 4 (121 enodes) 105.341 * * [simplify]: iters left: 3 (198 enodes) 105.421 * * [simplify]: iters left: 2 (332 enodes) 105.575 * * [simplify]: Extracting #0: cost 1 inf + 0 105.575 * * [simplify]: Extracting #1: cost 50 inf + 0 105.576 * * [simplify]: Extracting #2: cost 95 inf + 1 105.576 * * [simplify]: Extracting #3: cost 105 inf + 1 105.577 * * [simplify]: Extracting #4: cost 108 inf + 526 105.577 * * [simplify]: Extracting #5: cost 105 inf + 1092 105.578 * * [simplify]: Extracting #6: cost 99 inf + 3005 105.579 * * [simplify]: Extracting #7: cost 86 inf + 5707 105.585 * * [simplify]: Extracting #8: cost 45 inf + 27987 105.609 * * [simplify]: Extracting #9: cost 2 inf + 59324 105.624 * * [simplify]: Extracting #10: cost 0 inf + 60732 105.637 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt (sqrt 2)))) 105.637 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 105.637 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 105.638 * * [simplify]: iters left: 6 (20 enodes) 105.643 * * [simplify]: iters left: 5 (67 enodes) 105.666 * * [simplify]: iters left: 4 (84 enodes) 105.692 * * [simplify]: iters left: 3 (107 enodes) 105.708 * * [simplify]: iters left: 2 (126 enodes) 105.726 * * [simplify]: iters left: 1 (145 enodes) 105.758 * * [simplify]: Extracting #0: cost 1 inf + 0 105.758 * * [simplify]: Extracting #1: cost 21 inf + 0 105.758 * * [simplify]: Extracting #2: cost 44 inf + 0 105.759 * * [simplify]: Extracting #3: cost 57 inf + 0 105.759 * * [simplify]: Extracting #4: cost 65 inf + 62 105.760 * * [simplify]: Extracting #5: cost 50 inf + 1217 105.761 * * [simplify]: Extracting #6: cost 30 inf + 7705 105.765 * * [simplify]: Extracting #7: cost 4 inf + 20888 105.769 * * [simplify]: Extracting #8: cost 0 inf + 23462 105.773 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 105.773 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (cbrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 105.773 * * * * [progress]: [ 265 / 2703 ] simplifiying candidate # 105.773 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 105.773 * * [simplify]: iters left: 6 (25 enodes) 105.782 * * [simplify]: iters left: 5 (92 enodes) 105.797 * * [simplify]: iters left: 4 (145 enodes) 105.831 * * [simplify]: iters left: 3 (300 enodes) 105.953 * * [simplify]: Extracting #0: cost 1 inf + 0 105.953 * * [simplify]: Extracting #1: cost 78 inf + 0 105.954 * * [simplify]: Extracting #2: cost 151 inf + 1 105.954 * * [simplify]: Extracting #3: cost 160 inf + 1 105.955 * * [simplify]: Extracting #4: cost 162 inf + 627 105.956 * * [simplify]: Extracting #5: cost 165 inf + 1132 105.957 * * [simplify]: Extracting #6: cost 153 inf + 2005 105.961 * * [simplify]: Extracting #7: cost 122 inf + 15137 105.990 * * [simplify]: Extracting #8: cost 25 inf + 76390 106.013 * * [simplify]: Extracting #9: cost 0 inf + 93714 106.036 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 106.036 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 106.036 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 106.037 * * [simplify]: iters left: 6 (19 enodes) 106.041 * * [simplify]: iters left: 5 (64 enodes) 106.051 * * [simplify]: iters left: 4 (81 enodes) 106.064 * * [simplify]: iters left: 3 (104 enodes) 106.090 * * [simplify]: iters left: 2 (123 enodes) 106.119 * * [simplify]: iters left: 1 (142 enodes) 106.140 * * [simplify]: Extracting #0: cost 1 inf + 0 106.141 * * [simplify]: Extracting #1: cost 21 inf + 0 106.141 * * [simplify]: Extracting #2: cost 44 inf + 0 106.141 * * [simplify]: Extracting #3: cost 55 inf + 0 106.141 * * [simplify]: Extracting #4: cost 53 inf + 488 106.141 * * [simplify]: Extracting #5: cost 50 inf + 1958 106.142 * * [simplify]: Extracting #6: cost 46 inf + 2303 106.142 * * [simplify]: Extracting #7: cost 33 inf + 5853 106.145 * * [simplify]: Extracting #8: cost 6 inf + 19922 106.151 * * [simplify]: Extracting #9: cost 0 inf + 23222 106.158 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 106.158 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 106.159 * * * * [progress]: [ 266 / 2703 ] simplifiying candidate # 106.159 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 106.159 * * [simplify]: iters left: 6 (26 enodes) 106.170 * * [simplify]: iters left: 5 (94 enodes) 106.187 * * [simplify]: iters left: 4 (136 enodes) 106.211 * * [simplify]: iters left: 3 (218 enodes) 106.314 * * [simplify]: iters left: 2 (398 enodes) 106.525 * * [simplify]: Extracting #0: cost 1 inf + 0 106.525 * * [simplify]: Extracting #1: cost 39 inf + 0 106.526 * * [simplify]: Extracting #2: cost 78 inf + 1 106.526 * * [simplify]: Extracting #3: cost 89 inf + 1 106.527 * * [simplify]: Extracting #4: cost 96 inf + 63 106.528 * * [simplify]: Extracting #5: cost 97 inf + 809 106.529 * * [simplify]: Extracting #6: cost 85 inf + 1923 106.533 * * [simplify]: Extracting #7: cost 57 inf + 13102 106.545 * * [simplify]: Extracting #8: cost 5 inf + 44789 106.557 * * [simplify]: Extracting #9: cost 0 inf + 48430 106.570 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 106.570 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 106.571 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 106.571 * * [simplify]: iters left: 6 (20 enodes) 106.583 * * [simplify]: iters left: 5 (67 enodes) 106.601 * * [simplify]: iters left: 4 (84 enodes) 106.614 * * [simplify]: iters left: 3 (107 enodes) 106.631 * * [simplify]: iters left: 2 (126 enodes) 106.663 * * [simplify]: iters left: 1 (145 enodes) 106.686 * * [simplify]: Extracting #0: cost 1 inf + 0 106.686 * * [simplify]: Extracting #1: cost 21 inf + 0 106.687 * * [simplify]: Extracting #2: cost 44 inf + 0 106.687 * * [simplify]: Extracting #3: cost 56 inf + 0 106.687 * * [simplify]: Extracting #4: cost 56 inf + 507 106.687 * * [simplify]: Extracting #5: cost 53 inf + 1656 106.688 * * [simplify]: Extracting #6: cost 48 inf + 2303 106.689 * * [simplify]: Extracting #7: cost 29 inf + 8935 106.691 * * [simplify]: Extracting #8: cost 20 inf + 12681 106.697 * * [simplify]: Extracting #9: cost 2 inf + 23280 106.704 * * [simplify]: Extracting #10: cost 0 inf + 24106 106.712 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) 106.712 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))))) 106.713 * * * * [progress]: [ 267 / 2703 ] simplifiying candidate # 106.713 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 106.713 * * [simplify]: iters left: 6 (24 enodes) 106.728 * * [simplify]: iters left: 5 (87 enodes) 106.755 * * [simplify]: iters left: 4 (129 enodes) 106.790 * * [simplify]: iters left: 3 (213 enodes) 106.877 * * [simplify]: iters left: 2 (387 enodes) 107.036 * * [simplify]: Extracting #0: cost 1 inf + 0 107.036 * * [simplify]: Extracting #1: cost 39 inf + 0 107.036 * * [simplify]: Extracting #2: cost 76 inf + 1 107.037 * * [simplify]: Extracting #3: cost 85 inf + 1 107.038 * * [simplify]: Extracting #4: cost 91 inf + 63 107.039 * * [simplify]: Extracting #5: cost 92 inf + 768 107.040 * * [simplify]: Extracting #6: cost 79 inf + 1924 107.044 * * [simplify]: Extracting #7: cost 49 inf + 15036 107.063 * * [simplify]: Extracting #8: cost 5 inf + 40859 107.080 * * [simplify]: Extracting #9: cost 0 inf + 44238 107.092 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 107.092 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 107.093 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 107.093 * * [simplify]: iters left: 6 (19 enodes) 107.098 * * [simplify]: iters left: 5 (64 enodes) 107.108 * * [simplify]: iters left: 4 (81 enodes) 107.128 * * [simplify]: iters left: 3 (104 enodes) 107.143 * * [simplify]: iters left: 2 (123 enodes) 107.166 * * [simplify]: iters left: 1 (142 enodes) 107.186 * * [simplify]: Extracting #0: cost 1 inf + 0 107.187 * * [simplify]: Extracting #1: cost 21 inf + 0 107.187 * * [simplify]: Extracting #2: cost 44 inf + 0 107.187 * * [simplify]: Extracting #3: cost 55 inf + 0 107.187 * * [simplify]: Extracting #4: cost 53 inf + 488 107.188 * * [simplify]: Extracting #5: cost 50 inf + 1958 107.189 * * [simplify]: Extracting #6: cost 46 inf + 2303 107.190 * * [simplify]: Extracting #7: cost 33 inf + 5773 107.195 * * [simplify]: Extracting #8: cost 6 inf + 19202 107.202 * * [simplify]: Extracting #9: cost 0 inf + 22342 107.210 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 107.210 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 107.210 * * * * [progress]: [ 268 / 2703 ] simplifiying candidate # 107.211 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt 1))) 107.211 * * [simplify]: iters left: 6 (23 enodes) 107.222 * * [simplify]: iters left: 5 (84 enodes) 107.237 * * [simplify]: iters left: 4 (116 enodes) 107.270 * * [simplify]: iters left: 3 (151 enodes) 107.323 * * [simplify]: iters left: 2 (223 enodes) 107.436 * * [simplify]: iters left: 1 (302 enodes) 107.538 * * [simplify]: Extracting #0: cost 1 inf + 0 107.538 * * [simplify]: Extracting #1: cost 18 inf + 0 107.538 * * [simplify]: Extracting #2: cost 34 inf + 1 107.538 * * [simplify]: Extracting #3: cost 42 inf + 1 107.539 * * [simplify]: Extracting #4: cost 47 inf + 63 107.539 * * [simplify]: Extracting #5: cost 44 inf + 1394 107.539 * * [simplify]: Extracting #6: cost 42 inf + 1941 107.540 * * [simplify]: Extracting #7: cost 35 inf + 2348 107.541 * * [simplify]: Extracting #8: cost 23 inf + 6260 107.547 * * [simplify]: Extracting #9: cost 2 inf + 18239 107.559 * * [simplify]: Extracting #10: cost 0 inf + 19307 107.571 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 107.571 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 107.572 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 107.572 * * [simplify]: iters left: 6 (18 enodes) 107.580 * * [simplify]: iters left: 5 (61 enodes) 107.599 * * [simplify]: iters left: 4 (77 enodes) 107.623 * * [simplify]: iters left: 3 (98 enodes) 107.651 * * [simplify]: iters left: 2 (116 enodes) 107.685 * * [simplify]: iters left: 1 (133 enodes) 107.709 * * [simplify]: Extracting #0: cost 1 inf + 0 107.709 * * [simplify]: Extracting #1: cost 22 inf + 0 107.709 * * [simplify]: Extracting #2: cost 45 inf + 0 107.709 * * [simplify]: Extracting #3: cost 55 inf + 0 107.709 * * [simplify]: Extracting #4: cost 53 inf + 427 107.710 * * [simplify]: Extracting #5: cost 42 inf + 1740 107.710 * * [simplify]: Extracting #6: cost 24 inf + 8190 107.713 * * [simplify]: Extracting #7: cost 5 inf + 17834 107.717 * * [simplify]: Extracting #8: cost 0 inf + 20510 107.720 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 107.720 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 107.720 * * * * [progress]: [ 269 / 2703 ] simplifiying candidate # 107.720 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 107.721 * * [simplify]: iters left: 6 (24 enodes) 107.729 * * [simplify]: iters left: 5 (87 enodes) 107.754 * * [simplify]: iters left: 4 (129 enodes) 107.795 * * [simplify]: iters left: 3 (213 enodes) 107.868 * * [simplify]: iters left: 2 (387 enodes) 108.069 * * [simplify]: Extracting #0: cost 1 inf + 0 108.069 * * [simplify]: Extracting #1: cost 39 inf + 0 108.070 * * [simplify]: Extracting #2: cost 76 inf + 1 108.071 * * [simplify]: Extracting #3: cost 85 inf + 1 108.071 * * [simplify]: Extracting #4: cost 91 inf + 63 108.072 * * [simplify]: Extracting #5: cost 92 inf + 768 108.073 * * [simplify]: Extracting #6: cost 79 inf + 1924 108.077 * * [simplify]: Extracting #7: cost 49 inf + 15036 108.096 * * [simplify]: Extracting #8: cost 5 inf + 40859 108.111 * * [simplify]: Extracting #9: cost 0 inf + 44238 108.123 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 108.123 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 108.123 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 108.123 * * [simplify]: iters left: 6 (19 enodes) 108.128 * * [simplify]: iters left: 5 (64 enodes) 108.145 * * [simplify]: iters left: 4 (81 enodes) 108.173 * * [simplify]: iters left: 3 (104 enodes) 108.202 * * [simplify]: iters left: 2 (123 enodes) 108.231 * * [simplify]: iters left: 1 (142 enodes) 108.252 * * [simplify]: Extracting #0: cost 1 inf + 0 108.252 * * [simplify]: Extracting #1: cost 21 inf + 0 108.252 * * [simplify]: Extracting #2: cost 44 inf + 0 108.252 * * [simplify]: Extracting #3: cost 55 inf + 0 108.252 * * [simplify]: Extracting #4: cost 53 inf + 488 108.253 * * [simplify]: Extracting #5: cost 50 inf + 1958 108.253 * * [simplify]: Extracting #6: cost 46 inf + 2303 108.254 * * [simplify]: Extracting #7: cost 33 inf + 5773 108.256 * * [simplify]: Extracting #8: cost 6 inf + 19202 108.262 * * [simplify]: Extracting #9: cost 0 inf + 22342 108.269 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 108.269 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 108.270 * * * * [progress]: [ 270 / 2703 ] simplifiying candidate # 108.270 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) 1)) 108.271 * * [simplify]: iters left: 6 (23 enodes) 108.286 * * [simplify]: iters left: 5 (82 enodes) 108.300 * * [simplify]: iters left: 4 (109 enodes) 108.317 * * [simplify]: iters left: 3 (144 enodes) 108.343 * * [simplify]: iters left: 2 (190 enodes) 108.420 * * [simplify]: iters left: 1 (273 enodes) 108.566 * * [simplify]: Extracting #0: cost 1 inf + 0 108.567 * * [simplify]: Extracting #1: cost 18 inf + 0 108.567 * * [simplify]: Extracting #2: cost 35 inf + 1 108.567 * * [simplify]: Extracting #3: cost 43 inf + 1 108.567 * * [simplify]: Extracting #4: cost 48 inf + 63 108.567 * * [simplify]: Extracting #5: cost 46 inf + 1172 108.568 * * [simplify]: Extracting #6: cost 43 inf + 2061 108.569 * * [simplify]: Extracting #7: cost 36 inf + 2348 108.570 * * [simplify]: Extracting #8: cost 21 inf + 7089 108.574 * * [simplify]: Extracting #9: cost 3 inf + 18160 108.581 * * [simplify]: Extracting #10: cost 0 inf + 20012 108.587 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 108.587 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 108.588 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 108.588 * * [simplify]: iters left: 6 (18 enodes) 108.592 * * [simplify]: iters left: 5 (61 enodes) 108.609 * * [simplify]: iters left: 4 (77 enodes) 108.633 * * [simplify]: iters left: 3 (98 enodes) 108.648 * * [simplify]: iters left: 2 (116 enodes) 108.668 * * [simplify]: iters left: 1 (133 enodes) 108.706 * * [simplify]: Extracting #0: cost 1 inf + 0 108.706 * * [simplify]: Extracting #1: cost 22 inf + 0 108.707 * * [simplify]: Extracting #2: cost 45 inf + 0 108.707 * * [simplify]: Extracting #3: cost 55 inf + 0 108.707 * * [simplify]: Extracting #4: cost 53 inf + 427 108.708 * * [simplify]: Extracting #5: cost 42 inf + 1740 108.710 * * [simplify]: Extracting #6: cost 24 inf + 8190 108.715 * * [simplify]: Extracting #7: cost 5 inf + 17834 108.722 * * [simplify]: Extracting #8: cost 0 inf + 20510 108.728 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 108.728 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 108.729 * * * * [progress]: [ 271 / 2703 ] simplifiying candidate # 108.729 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 108.729 * * [simplify]: iters left: 6 (24 enodes) 108.740 * * [simplify]: iters left: 5 (87 enodes) 108.768 * * [simplify]: iters left: 4 (144 enodes) 108.823 * * [simplify]: iters left: 3 (305 enodes) 108.976 * * [simplify]: Extracting #0: cost 1 inf + 0 108.977 * * [simplify]: Extracting #1: cost 95 inf + 0 108.978 * * [simplify]: Extracting #2: cost 199 inf + 0 108.980 * * [simplify]: Extracting #3: cost 210 inf + 0 108.981 * * [simplify]: Extracting #4: cost 212 inf + 767 108.983 * * [simplify]: Extracting #5: cost 212 inf + 971 108.986 * * [simplify]: Extracting #6: cost 183 inf + 9694 109.005 * * [simplify]: Extracting #7: cost 35 inf + 116083 109.050 * * [simplify]: Extracting #8: cost 1 inf + 143856 109.100 * * [simplify]: Extracting #9: cost 0 inf + 144480 109.144 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 109.144 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 109.144 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 109.144 * * [simplify]: iters left: 6 (21 enodes) 109.149 * * [simplify]: iters left: 5 (70 enodes) 109.166 * * [simplify]: iters left: 4 (87 enodes) 109.193 * * [simplify]: iters left: 3 (110 enodes) 109.224 * * [simplify]: iters left: 2 (129 enodes) 109.262 * * [simplify]: iters left: 1 (148 enodes) 109.304 * * [simplify]: Extracting #0: cost 1 inf + 0 109.305 * * [simplify]: Extracting #1: cost 22 inf + 0 109.305 * * [simplify]: Extracting #2: cost 45 inf + 0 109.305 * * [simplify]: Extracting #3: cost 57 inf + 0 109.306 * * [simplify]: Extracting #4: cost 64 inf + 62 109.306 * * [simplify]: Extracting #5: cost 59 inf + 971 109.307 * * [simplify]: Extracting #6: cost 52 inf + 1418 109.308 * * [simplify]: Extracting #7: cost 34 inf + 7261 109.314 * * [simplify]: Extracting #8: cost 9 inf + 21441 109.321 * * [simplify]: Extracting #9: cost 0 inf + 26330 109.329 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 109.329 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 109.330 * * * * [progress]: [ 272 / 2703 ] simplifiying candidate # 109.330 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 109.330 * * [simplify]: iters left: 6 (25 enodes) 109.342 * * [simplify]: iters left: 5 (89 enodes) 109.370 * * [simplify]: iters left: 4 (138 enodes) 109.407 * * [simplify]: iters left: 3 (254 enodes) 109.526 * * [simplify]: Extracting #0: cost 1 inf + 0 109.526 * * [simplify]: Extracting #1: cost 70 inf + 0 109.526 * * [simplify]: Extracting #2: cost 125 inf + 0 109.527 * * [simplify]: Extracting #3: cost 138 inf + 0 109.527 * * [simplify]: Extracting #4: cost 142 inf + 706 109.528 * * [simplify]: Extracting #5: cost 141 inf + 1091 109.529 * * [simplify]: Extracting #6: cost 131 inf + 1781 109.531 * * [simplify]: Extracting #7: cost 97 inf + 16533 109.543 * * [simplify]: Extracting #8: cost 16 inf + 76610 109.568 * * [simplify]: Extracting #9: cost 0 inf + 88891 109.587 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) 109.587 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 109.588 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 109.588 * * [simplify]: iters left: 6 (22 enodes) 109.593 * * [simplify]: iters left: 5 (73 enodes) 109.617 * * [simplify]: iters left: 4 (90 enodes) 109.645 * * [simplify]: iters left: 3 (113 enodes) 109.674 * * [simplify]: iters left: 2 (132 enodes) 109.693 * * [simplify]: iters left: 1 (151 enodes) 109.731 * * [simplify]: Extracting #0: cost 1 inf + 0 109.732 * * [simplify]: Extracting #1: cost 22 inf + 0 109.732 * * [simplify]: Extracting #2: cost 45 inf + 0 109.732 * * [simplify]: Extracting #3: cost 58 inf + 0 109.732 * * [simplify]: Extracting #4: cost 65 inf + 123 109.733 * * [simplify]: Extracting #5: cost 61 inf + 931 109.734 * * [simplify]: Extracting #6: cost 54 inf + 1418 109.736 * * [simplify]: Extracting #7: cost 34 inf + 7927 109.741 * * [simplify]: Extracting #8: cost 23 inf + 13341 109.747 * * [simplify]: Extracting #9: cost 7 inf + 23131 109.755 * * [simplify]: Extracting #10: cost 0 inf + 27214 109.759 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))) 109.759 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))))) 109.759 * * * * [progress]: [ 273 / 2703 ] simplifiying candidate # 109.759 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 109.760 * * [simplify]: iters left: 6 (23 enodes) 109.765 * * [simplify]: iters left: 5 (82 enodes) 109.779 * * [simplify]: iters left: 4 (131 enodes) 109.809 * * [simplify]: iters left: 3 (249 enodes) 109.887 * * [simplify]: Extracting #0: cost 1 inf + 0 109.887 * * [simplify]: Extracting #1: cost 71 inf + 0 109.888 * * [simplify]: Extracting #2: cost 125 inf + 0 109.889 * * [simplify]: Extracting #3: cost 136 inf + 0 109.890 * * [simplify]: Extracting #4: cost 140 inf + 525 109.891 * * [simplify]: Extracting #5: cost 138 inf + 1091 109.891 * * [simplify]: Extracting #6: cost 129 inf + 1660 109.892 * * [simplify]: Extracting #7: cost 115 inf + 4866 109.898 * * [simplify]: Extracting #8: cost 65 inf + 33437 109.914 * * [simplify]: Extracting #9: cost 9 inf + 77272 109.940 * * [simplify]: Extracting #10: cost 0 inf + 84387 109.957 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 109.958 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 109.958 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 109.958 * * [simplify]: iters left: 6 (21 enodes) 109.964 * * [simplify]: iters left: 5 (70 enodes) 109.978 * * [simplify]: iters left: 4 (87 enodes) 109.991 * * [simplify]: iters left: 3 (110 enodes) 110.018 * * [simplify]: iters left: 2 (129 enodes) 110.052 * * [simplify]: iters left: 1 (148 enodes) 110.095 * * [simplify]: Extracting #0: cost 1 inf + 0 110.095 * * [simplify]: Extracting #1: cost 22 inf + 0 110.095 * * [simplify]: Extracting #2: cost 45 inf + 0 110.095 * * [simplify]: Extracting #3: cost 57 inf + 0 110.096 * * [simplify]: Extracting #4: cost 64 inf + 62 110.096 * * [simplify]: Extracting #5: cost 59 inf + 971 110.097 * * [simplify]: Extracting #6: cost 52 inf + 1418 110.098 * * [simplify]: Extracting #7: cost 34 inf + 7261 110.104 * * [simplify]: Extracting #8: cost 9 inf + 20841 110.111 * * [simplify]: Extracting #9: cost 0 inf + 25450 110.120 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 110.121 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 110.121 * * * * [progress]: [ 274 / 2703 ] simplifiying candidate # 110.121 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 110.122 * * [simplify]: iters left: 6 (24 enodes) 110.134 * * [simplify]: iters left: 5 (87 enodes) 110.162 * * [simplify]: iters left: 4 (124 enodes) 110.202 * * [simplify]: iters left: 3 (195 enodes) 110.292 * * [simplify]: iters left: 2 (315 enodes) 110.447 * * [simplify]: Extracting #0: cost 1 inf + 0 110.447 * * [simplify]: Extracting #1: cost 54 inf + 0 110.448 * * [simplify]: Extracting #2: cost 98 inf + 1 110.449 * * [simplify]: Extracting #3: cost 108 inf + 1 110.449 * * [simplify]: Extracting #4: cost 109 inf + 768 110.451 * * [simplify]: Extracting #5: cost 107 inf + 1213 110.452 * * [simplify]: Extracting #6: cost 107 inf + 1657 110.453 * * [simplify]: Extracting #7: cost 88 inf + 6030 110.460 * * [simplify]: Extracting #8: cost 62 inf + 19897 110.485 * * [simplify]: Extracting #9: cost 5 inf + 59085 110.503 * * [simplify]: Extracting #10: cost 0 inf + 63024 110.516 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt (sqrt 2)))) 110.516 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 110.517 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 110.517 * * [simplify]: iters left: 6 (20 enodes) 110.521 * * [simplify]: iters left: 5 (67 enodes) 110.541 * * [simplify]: iters left: 4 (84 enodes) 110.561 * * [simplify]: iters left: 3 (107 enodes) 110.577 * * [simplify]: iters left: 2 (126 enodes) 110.607 * * [simplify]: iters left: 1 (145 enodes) 110.634 * * [simplify]: Extracting #0: cost 1 inf + 0 110.634 * * [simplify]: Extracting #1: cost 21 inf + 0 110.634 * * [simplify]: Extracting #2: cost 44 inf + 0 110.634 * * [simplify]: Extracting #3: cost 57 inf + 0 110.634 * * [simplify]: Extracting #4: cost 65 inf + 62 110.634 * * [simplify]: Extracting #5: cost 50 inf + 1217 110.635 * * [simplify]: Extracting #6: cost 30 inf + 7705 110.638 * * [simplify]: Extracting #7: cost 4 inf + 20888 110.642 * * [simplify]: Extracting #8: cost 0 inf + 23462 110.645 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 110.645 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 110.646 * * * * [progress]: [ 275 / 2703 ] simplifiying candidate # 110.646 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 110.646 * * [simplify]: iters left: 6 (23 enodes) 110.657 * * [simplify]: iters left: 5 (82 enodes) 110.684 * * [simplify]: iters left: 4 (131 enodes) 110.710 * * [simplify]: iters left: 3 (249 enodes) 110.779 * * [simplify]: Extracting #0: cost 1 inf + 0 110.779 * * [simplify]: Extracting #1: cost 71 inf + 0 110.780 * * [simplify]: Extracting #2: cost 125 inf + 0 110.780 * * [simplify]: Extracting #3: cost 136 inf + 0 110.781 * * [simplify]: Extracting #4: cost 140 inf + 525 110.781 * * [simplify]: Extracting #5: cost 138 inf + 1091 110.782 * * [simplify]: Extracting #6: cost 129 inf + 1660 110.783 * * [simplify]: Extracting #7: cost 115 inf + 4866 110.788 * * [simplify]: Extracting #8: cost 65 inf + 33437 110.807 * * [simplify]: Extracting #9: cost 9 inf + 77272 110.841 * * [simplify]: Extracting #10: cost 0 inf + 84387 110.876 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 110.877 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 110.877 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 110.878 * * [simplify]: iters left: 6 (21 enodes) 110.885 * * [simplify]: iters left: 5 (70 enodes) 110.898 * * [simplify]: iters left: 4 (87 enodes) 110.912 * * [simplify]: iters left: 3 (110 enodes) 110.942 * * [simplify]: iters left: 2 (129 enodes) 110.966 * * [simplify]: iters left: 1 (148 enodes) 111.002 * * [simplify]: Extracting #0: cost 1 inf + 0 111.002 * * [simplify]: Extracting #1: cost 22 inf + 0 111.002 * * [simplify]: Extracting #2: cost 45 inf + 0 111.003 * * [simplify]: Extracting #3: cost 57 inf + 0 111.003 * * [simplify]: Extracting #4: cost 64 inf + 62 111.003 * * [simplify]: Extracting #5: cost 59 inf + 971 111.004 * * [simplify]: Extracting #6: cost 52 inf + 1418 111.005 * * [simplify]: Extracting #7: cost 34 inf + 7261 111.011 * * [simplify]: Extracting #8: cost 9 inf + 20841 111.018 * * [simplify]: Extracting #9: cost 0 inf + 25450 111.026 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 111.026 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 111.027 * * * * [progress]: [ 276 / 2703 ] simplifiying candidate # 111.027 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 111.027 * * [simplify]: iters left: 6 (23 enodes) 111.039 * * [simplify]: iters left: 5 (82 enodes) 111.065 * * [simplify]: iters left: 4 (121 enodes) 111.107 * * [simplify]: iters left: 3 (198 enodes) 111.175 * * [simplify]: iters left: 2 (332 enodes) 111.345 * * [simplify]: Extracting #0: cost 1 inf + 0 111.346 * * [simplify]: Extracting #1: cost 50 inf + 0 111.346 * * [simplify]: Extracting #2: cost 95 inf + 1 111.346 * * [simplify]: Extracting #3: cost 105 inf + 1 111.347 * * [simplify]: Extracting #4: cost 108 inf + 526 111.347 * * [simplify]: Extracting #5: cost 105 inf + 1092 111.348 * * [simplify]: Extracting #6: cost 99 inf + 3005 111.349 * * [simplify]: Extracting #7: cost 86 inf + 5707 111.354 * * [simplify]: Extracting #8: cost 45 inf + 27987 111.374 * * [simplify]: Extracting #9: cost 2 inf + 59324 111.387 * * [simplify]: Extracting #10: cost 0 inf + 60732 111.411 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt (sqrt 2)))) 111.411 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 111.412 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 111.412 * * [simplify]: iters left: 6 (20 enodes) 111.421 * * [simplify]: iters left: 5 (67 enodes) 111.444 * * [simplify]: iters left: 4 (84 enodes) 111.457 * * [simplify]: iters left: 3 (107 enodes) 111.471 * * [simplify]: iters left: 2 (126 enodes) 111.501 * * [simplify]: iters left: 1 (145 enodes) 111.532 * * [simplify]: Extracting #0: cost 1 inf + 0 111.532 * * [simplify]: Extracting #1: cost 21 inf + 0 111.532 * * [simplify]: Extracting #2: cost 44 inf + 0 111.532 * * [simplify]: Extracting #3: cost 57 inf + 0 111.533 * * [simplify]: Extracting #4: cost 65 inf + 62 111.533 * * [simplify]: Extracting #5: cost 50 inf + 1217 111.534 * * [simplify]: Extracting #6: cost 30 inf + 7705 111.536 * * [simplify]: Extracting #7: cost 4 inf + 20888 111.540 * * [simplify]: Extracting #8: cost 0 inf + 23462 111.544 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 111.544 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (cbrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 111.544 * * * * [progress]: [ 277 / 2703 ] simplifiying candidate # 111.544 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 111.545 * * [simplify]: iters left: 6 (24 enodes) 111.557 * * [simplify]: iters left: 5 (89 enodes) 111.586 * * [simplify]: iters left: 4 (142 enodes) 111.615 * * [simplify]: iters left: 3 (299 enodes) 111.799 * * [simplify]: Extracting #0: cost 1 inf + 0 111.799 * * [simplify]: Extracting #1: cost 80 inf + 0 111.800 * * [simplify]: Extracting #2: cost 156 inf + 1 111.801 * * [simplify]: Extracting #3: cost 165 inf + 1 111.801 * * [simplify]: Extracting #4: cost 167 inf + 627 111.802 * * [simplify]: Extracting #5: cost 169 inf + 1354 111.803 * * [simplify]: Extracting #6: cost 162 inf + 1841 111.805 * * [simplify]: Extracting #7: cost 132 inf + 13928 111.832 * * [simplify]: Extracting #8: cost 42 inf + 69834 111.866 * * [simplify]: Extracting #9: cost 0 inf + 97174 111.894 * * [simplify]: Extracting #10: cost 0 inf + 97134 111.925 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 111.925 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 111.925 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 111.926 * * [simplify]: iters left: 6 (19 enodes) 111.930 * * [simplify]: iters left: 5 (64 enodes) 111.940 * * [simplify]: iters left: 4 (81 enodes) 111.965 * * [simplify]: iters left: 3 (104 enodes) 111.993 * * [simplify]: iters left: 2 (123 enodes) 112.026 * * [simplify]: iters left: 1 (142 enodes) 112.066 * * [simplify]: Extracting #0: cost 1 inf + 0 112.066 * * [simplify]: Extracting #1: cost 21 inf + 0 112.066 * * [simplify]: Extracting #2: cost 44 inf + 0 112.067 * * [simplify]: Extracting #3: cost 55 inf + 0 112.067 * * [simplify]: Extracting #4: cost 53 inf + 488 112.068 * * [simplify]: Extracting #5: cost 50 inf + 1958 112.068 * * [simplify]: Extracting #6: cost 46 inf + 2303 112.070 * * [simplify]: Extracting #7: cost 33 inf + 5853 112.074 * * [simplify]: Extracting #8: cost 6 inf + 19922 112.080 * * [simplify]: Extracting #9: cost 0 inf + 23222 112.084 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 112.084 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 112.084 * * * * [progress]: [ 278 / 2703 ] simplifiying candidate # 112.084 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 112.084 * * [simplify]: iters left: 6 (25 enodes) 112.093 * * [simplify]: iters left: 5 (91 enodes) 112.109 * * [simplify]: iters left: 4 (133 enodes) 112.137 * * [simplify]: iters left: 3 (215 enodes) 112.196 * * [simplify]: iters left: 2 (390 enodes) 112.363 * * [simplify]: Extracting #0: cost 1 inf + 0 112.363 * * [simplify]: Extracting #1: cost 39 inf + 0 112.363 * * [simplify]: Extracting #2: cost 78 inf + 1 112.364 * * [simplify]: Extracting #3: cost 89 inf + 1 112.364 * * [simplify]: Extracting #4: cost 96 inf + 63 112.364 * * [simplify]: Extracting #5: cost 98 inf + 627 112.365 * * [simplify]: Extracting #6: cost 84 inf + 1823 112.366 * * [simplify]: Extracting #7: cost 59 inf + 12236 112.377 * * [simplify]: Extracting #8: cost 9 inf + 42597 112.400 * * [simplify]: Extracting #9: cost 0 inf + 48029 112.426 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 112.426 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 112.427 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 112.427 * * [simplify]: iters left: 6 (20 enodes) 112.436 * * [simplify]: iters left: 5 (67 enodes) 112.447 * * [simplify]: iters left: 4 (84 enodes) 112.462 * * [simplify]: iters left: 3 (107 enodes) 112.491 * * [simplify]: iters left: 2 (126 enodes) 112.508 * * [simplify]: iters left: 1 (145 enodes) 112.541 * * [simplify]: Extracting #0: cost 1 inf + 0 112.541 * * [simplify]: Extracting #1: cost 21 inf + 0 112.542 * * [simplify]: Extracting #2: cost 44 inf + 0 112.542 * * [simplify]: Extracting #3: cost 56 inf + 0 112.542 * * [simplify]: Extracting #4: cost 56 inf + 507 112.543 * * [simplify]: Extracting #5: cost 53 inf + 1656 112.544 * * [simplify]: Extracting #6: cost 48 inf + 2303 112.546 * * [simplify]: Extracting #7: cost 29 inf + 8935 112.549 * * [simplify]: Extracting #8: cost 20 inf + 12681 112.556 * * [simplify]: Extracting #9: cost 2 inf + 23280 112.563 * * [simplify]: Extracting #10: cost 0 inf + 24106 112.571 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) 112.572 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))))) 112.572 * * * * [progress]: [ 279 / 2703 ] simplifiying candidate # 112.572 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 112.573 * * [simplify]: iters left: 6 (23 enodes) 112.586 * * [simplify]: iters left: 5 (84 enodes) 112.604 * * [simplify]: iters left: 4 (126 enodes) 112.630 * * [simplify]: iters left: 3 (208 enodes) 112.693 * * [simplify]: iters left: 2 (384 enodes) 112.935 * * [simplify]: Extracting #0: cost 1 inf + 0 112.935 * * [simplify]: Extracting #1: cost 41 inf + 0 112.935 * * [simplify]: Extracting #2: cost 79 inf + 1 112.936 * * [simplify]: Extracting #3: cost 88 inf + 1 112.936 * * [simplify]: Extracting #4: cost 94 inf + 63 112.937 * * [simplify]: Extracting #5: cost 96 inf + 587 112.937 * * [simplify]: Extracting #6: cost 82 inf + 1844 112.939 * * [simplify]: Extracting #7: cost 53 inf + 14412 112.949 * * [simplify]: Extracting #8: cost 4 inf + 44457 112.960 * * [simplify]: Extracting #9: cost 0 inf + 46070 112.983 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 112.983 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 112.983 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 112.984 * * [simplify]: iters left: 6 (19 enodes) 112.993 * * [simplify]: iters left: 5 (64 enodes) 113.005 * * [simplify]: iters left: 4 (81 enodes) 113.020 * * [simplify]: iters left: 3 (104 enodes) 113.043 * * [simplify]: iters left: 2 (123 enodes) 113.076 * * [simplify]: iters left: 1 (142 enodes) 113.117 * * [simplify]: Extracting #0: cost 1 inf + 0 113.117 * * [simplify]: Extracting #1: cost 21 inf + 0 113.117 * * [simplify]: Extracting #2: cost 44 inf + 0 113.117 * * [simplify]: Extracting #3: cost 55 inf + 0 113.118 * * [simplify]: Extracting #4: cost 53 inf + 488 113.118 * * [simplify]: Extracting #5: cost 50 inf + 1958 113.119 * * [simplify]: Extracting #6: cost 46 inf + 2303 113.120 * * [simplify]: Extracting #7: cost 33 inf + 5773 113.125 * * [simplify]: Extracting #8: cost 6 inf + 19202 113.129 * * [simplify]: Extracting #9: cost 0 inf + 22342 113.133 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 113.133 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 113.133 * * * * [progress]: [ 280 / 2703 ] simplifiying candidate # 113.133 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt 1))) 113.134 * * [simplify]: iters left: 6 (23 enodes) 113.141 * * [simplify]: iters left: 5 (84 enodes) 113.167 * * [simplify]: iters left: 4 (116 enodes) 113.185 * * [simplify]: iters left: 3 (151 enodes) 113.236 * * [simplify]: iters left: 2 (223 enodes) 113.301 * * [simplify]: iters left: 1 (302 enodes) 113.431 * * [simplify]: Extracting #0: cost 1 inf + 0 113.431 * * [simplify]: Extracting #1: cost 18 inf + 0 113.431 * * [simplify]: Extracting #2: cost 34 inf + 1 113.432 * * [simplify]: Extracting #3: cost 42 inf + 1 113.432 * * [simplify]: Extracting #4: cost 47 inf + 63 113.432 * * [simplify]: Extracting #5: cost 44 inf + 1394 113.433 * * [simplify]: Extracting #6: cost 42 inf + 1941 113.433 * * [simplify]: Extracting #7: cost 35 inf + 2348 113.434 * * [simplify]: Extracting #8: cost 23 inf + 6260 113.438 * * [simplify]: Extracting #9: cost 2 inf + 18239 113.444 * * [simplify]: Extracting #10: cost 0 inf + 19307 113.449 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 113.450 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 113.450 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 113.450 * * [simplify]: iters left: 6 (18 enodes) 113.455 * * [simplify]: iters left: 5 (61 enodes) 113.465 * * [simplify]: iters left: 4 (77 enodes) 113.488 * * [simplify]: iters left: 3 (98 enodes) 113.517 * * [simplify]: iters left: 2 (116 enodes) 113.533 * * [simplify]: iters left: 1 (133 enodes) 113.562 * * [simplify]: Extracting #0: cost 1 inf + 0 113.562 * * [simplify]: Extracting #1: cost 22 inf + 0 113.562 * * [simplify]: Extracting #2: cost 45 inf + 0 113.562 * * [simplify]: Extracting #3: cost 55 inf + 0 113.563 * * [simplify]: Extracting #4: cost 53 inf + 427 113.563 * * [simplify]: Extracting #5: cost 42 inf + 1740 113.565 * * [simplify]: Extracting #6: cost 24 inf + 8190 113.570 * * [simplify]: Extracting #7: cost 5 inf + 17834 113.577 * * [simplify]: Extracting #8: cost 0 inf + 20510 113.584 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 113.584 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 113.584 * * * * [progress]: [ 281 / 2703 ] simplifiying candidate # 113.585 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 113.585 * * [simplify]: iters left: 6 (23 enodes) 113.597 * * [simplify]: iters left: 5 (84 enodes) 113.624 * * [simplify]: iters left: 4 (126 enodes) 113.650 * * [simplify]: iters left: 3 (208 enodes) 113.735 * * [simplify]: iters left: 2 (384 enodes) 113.900 * * [simplify]: Extracting #0: cost 1 inf + 0 113.900 * * [simplify]: Extracting #1: cost 41 inf + 0 113.901 * * [simplify]: Extracting #2: cost 79 inf + 1 113.901 * * [simplify]: Extracting #3: cost 88 inf + 1 113.902 * * [simplify]: Extracting #4: cost 94 inf + 63 113.902 * * [simplify]: Extracting #5: cost 96 inf + 587 113.902 * * [simplify]: Extracting #6: cost 82 inf + 1844 113.904 * * [simplify]: Extracting #7: cost 53 inf + 14412 113.916 * * [simplify]: Extracting #8: cost 4 inf + 44457 113.928 * * [simplify]: Extracting #9: cost 0 inf + 46070 113.943 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 113.943 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 113.943 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 113.943 * * [simplify]: iters left: 6 (19 enodes) 113.950 * * [simplify]: iters left: 5 (64 enodes) 113.969 * * [simplify]: iters left: 4 (81 enodes) 113.994 * * [simplify]: iters left: 3 (104 enodes) 114.023 * * [simplify]: iters left: 2 (123 enodes) 114.056 * * [simplify]: iters left: 1 (142 enodes) 114.098 * * [simplify]: Extracting #0: cost 1 inf + 0 114.098 * * [simplify]: Extracting #1: cost 21 inf + 0 114.099 * * [simplify]: Extracting #2: cost 44 inf + 0 114.099 * * [simplify]: Extracting #3: cost 55 inf + 0 114.100 * * [simplify]: Extracting #4: cost 53 inf + 488 114.100 * * [simplify]: Extracting #5: cost 50 inf + 1958 114.101 * * [simplify]: Extracting #6: cost 46 inf + 2303 114.102 * * [simplify]: Extracting #7: cost 33 inf + 5773 114.107 * * [simplify]: Extracting #8: cost 6 inf + 19202 114.115 * * [simplify]: Extracting #9: cost 0 inf + 22342 114.122 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 114.122 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 114.122 * * * * [progress]: [ 282 / 2703 ] simplifiying candidate # 114.123 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) 1)) 114.123 * * [simplify]: iters left: 6 (22 enodes) 114.133 * * [simplify]: iters left: 5 (79 enodes) 114.146 * * [simplify]: iters left: 4 (106 enodes) 114.166 * * [simplify]: iters left: 3 (139 enodes) 114.216 * * [simplify]: iters left: 2 (189 enodes) 114.294 * * [simplify]: iters left: 1 (271 enodes) 114.417 * * [simplify]: Extracting #0: cost 1 inf + 0 114.417 * * [simplify]: Extracting #1: cost 18 inf + 0 114.417 * * [simplify]: Extracting #2: cost 34 inf + 1 114.418 * * [simplify]: Extracting #3: cost 42 inf + 1 114.418 * * [simplify]: Extracting #4: cost 47 inf + 63 114.418 * * [simplify]: Extracting #5: cost 44 inf + 1394 114.419 * * [simplify]: Extracting #6: cost 43 inf + 1900 114.419 * * [simplify]: Extracting #7: cost 36 inf + 2307 114.420 * * [simplify]: Extracting #8: cost 32 inf + 2633 114.421 * * [simplify]: Extracting #9: cost 22 inf + 7005 114.425 * * [simplify]: Extracting #10: cost 4 inf + 16791 114.431 * * [simplify]: Extracting #11: cost 0 inf + 19307 114.440 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 114.440 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 114.441 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 114.441 * * [simplify]: iters left: 6 (18 enodes) 114.449 * * [simplify]: iters left: 5 (61 enodes) 114.469 * * [simplify]: iters left: 4 (77 enodes) 114.494 * * [simplify]: iters left: 3 (98 enodes) 114.522 * * [simplify]: iters left: 2 (116 enodes) 114.554 * * [simplify]: iters left: 1 (133 enodes) 114.592 * * [simplify]: Extracting #0: cost 1 inf + 0 114.592 * * [simplify]: Extracting #1: cost 22 inf + 0 114.592 * * [simplify]: Extracting #2: cost 45 inf + 0 114.592 * * [simplify]: Extracting #3: cost 55 inf + 0 114.593 * * [simplify]: Extracting #4: cost 53 inf + 427 114.593 * * [simplify]: Extracting #5: cost 42 inf + 1740 114.595 * * [simplify]: Extracting #6: cost 24 inf + 8190 114.600 * * [simplify]: Extracting #7: cost 5 inf + 17834 114.607 * * [simplify]: Extracting #8: cost 0 inf + 20510 114.614 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 114.614 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 114.614 * * * * [progress]: [ 283 / 2703 ] simplifiying candidate # 114.615 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 114.615 * * [simplify]: iters left: 6 (24 enodes) 114.625 * * [simplify]: iters left: 5 (91 enodes) 114.642 * * [simplify]: iters left: 4 (176 enodes) 114.696 * * [simplify]: iters left: 3 (487 enodes) 115.093 * * [simplify]: Extracting #0: cost 1 inf + 0 115.094 * * [simplify]: Extracting #1: cost 165 inf + 0 115.095 * * [simplify]: Extracting #2: cost 379 inf + 0 115.097 * * [simplify]: Extracting #3: cost 390 inf + 0 115.099 * * [simplify]: Extracting #4: cost 392 inf + 586 115.101 * * [simplify]: Extracting #5: cost 385 inf + 2419 115.105 * * [simplify]: Extracting #6: cost 366 inf + 7789 115.131 * * [simplify]: Extracting #7: cost 259 inf + 78817 115.182 * * [simplify]: Extracting #8: cost 33 inf + 257491 115.249 * * [simplify]: Extracting #9: cost 0 inf + 283476 115.365 * * [simplify]: Extracting #10: cost 0 inf + 283436 115.467 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 115.467 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 115.468 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 115.468 * * [simplify]: iters left: 6 (20 enodes) 115.477 * * [simplify]: iters left: 5 (67 enodes) 115.497 * * [simplify]: iters left: 4 (84 enodes) 115.509 * * [simplify]: iters left: 3 (107 enodes) 115.527 * * [simplify]: iters left: 2 (126 enodes) 115.563 * * [simplify]: iters left: 1 (145 enodes) 115.604 * * [simplify]: Extracting #0: cost 1 inf + 0 115.604 * * [simplify]: Extracting #1: cost 21 inf + 0 115.604 * * [simplify]: Extracting #2: cost 44 inf + 0 115.604 * * [simplify]: Extracting #3: cost 55 inf + 0 115.605 * * [simplify]: Extracting #4: cost 61 inf + 62 115.605 * * [simplify]: Extracting #5: cost 53 inf + 1635 115.606 * * [simplify]: Extracting #6: cost 47 inf + 2643 115.608 * * [simplify]: Extracting #7: cost 29 inf + 8628 115.614 * * [simplify]: Extracting #8: cost 3 inf + 23795 115.621 * * [simplify]: Extracting #9: cost 0 inf + 25384 115.628 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 115.629 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 115.629 * * * * [progress]: [ 284 / 2703 ] simplifiying candidate # 115.629 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 115.630 * * [simplify]: iters left: 6 (25 enodes) 115.642 * * [simplify]: iters left: 5 (91 enodes) 115.671 * * [simplify]: iters left: 4 (151 enodes) 115.712 * * [simplify]: iters left: 3 (346 enodes) 115.900 * * [simplify]: Extracting #0: cost 1 inf + 0 115.901 * * [simplify]: Extracting #1: cost 119 inf + 0 115.903 * * [simplify]: Extracting #2: cost 228 inf + 0 115.904 * * [simplify]: Extracting #3: cost 240 inf + 0 115.907 * * [simplify]: Extracting #4: cost 242 inf + 767 115.909 * * [simplify]: Extracting #5: cost 238 inf + 1775 115.912 * * [simplify]: Extracting #6: cost 224 inf + 5778 115.917 * * [simplify]: Extracting #7: cost 196 inf + 18351 115.968 * * [simplify]: Extracting #8: cost 51 inf + 125865 116.017 * * [simplify]: Extracting #9: cost 1 inf + 166575 116.062 * * [simplify]: Extracting #10: cost 0 inf + 167239 116.114 * [simplify]: Simplified to (* (* (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 116.114 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 116.115 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 116.115 * * [simplify]: iters left: 6 (21 enodes) 116.122 * * [simplify]: iters left: 5 (70 enodes) 116.143 * * [simplify]: iters left: 4 (87 enodes) 116.169 * * [simplify]: iters left: 3 (110 enodes) 116.200 * * [simplify]: iters left: 2 (129 enodes) 116.235 * * [simplify]: iters left: 1 (148 enodes) 116.279 * * [simplify]: Extracting #0: cost 1 inf + 0 116.279 * * [simplify]: Extracting #1: cost 22 inf + 0 116.279 * * [simplify]: Extracting #2: cost 45 inf + 0 116.279 * * [simplify]: Extracting #3: cost 57 inf + 0 116.280 * * [simplify]: Extracting #4: cost 64 inf + 62 116.280 * * [simplify]: Extracting #5: cost 59 inf + 1091 116.281 * * [simplify]: Extracting #6: cost 50 inf + 2643 116.283 * * [simplify]: Extracting #7: cost 34 inf + 7803 116.288 * * [simplify]: Extracting #8: cost 9 inf + 21963 116.296 * * [simplify]: Extracting #9: cost 0 inf + 27012 116.304 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))) 116.304 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))))) 116.304 * * * * [progress]: [ 285 / 2703 ] simplifiying candidate # 116.305 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 116.305 * * [simplify]: iters left: 6 (23 enodes) 116.315 * * [simplify]: iters left: 5 (84 enodes) 116.329 * * [simplify]: iters left: 4 (144 enodes) 116.359 * * [simplify]: iters left: 3 (337 enodes) 116.523 * * [simplify]: Extracting #0: cost 1 inf + 0 116.523 * * [simplify]: Extracting #1: cost 115 inf + 0 116.524 * * [simplify]: Extracting #2: cost 222 inf + 0 116.525 * * [simplify]: Extracting #3: cost 232 inf + 0 116.527 * * [simplify]: Extracting #4: cost 234 inf + 586 116.528 * * [simplify]: Extracting #5: cost 229 inf + 1836 116.530 * * [simplify]: Extracting #6: cost 207 inf + 8392 116.533 * * [simplify]: Extracting #7: cost 187 inf + 17372 116.562 * * [simplify]: Extracting #8: cost 39 inf + 123803 116.604 * * [simplify]: Extracting #9: cost 0 inf + 153351 116.666 * * [simplify]: Extracting #10: cost 0 inf + 153311 116.733 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 116.734 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 116.734 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 116.735 * * [simplify]: iters left: 6 (20 enodes) 116.744 * * [simplify]: iters left: 5 (67 enodes) 116.766 * * [simplify]: iters left: 4 (84 enodes) 116.791 * * [simplify]: iters left: 3 (107 enodes) 116.821 * * [simplify]: iters left: 2 (126 enodes) 116.849 * * [simplify]: iters left: 1 (145 enodes) 116.871 * * [simplify]: Extracting #0: cost 1 inf + 0 116.872 * * [simplify]: Extracting #1: cost 21 inf + 0 116.872 * * [simplify]: Extracting #2: cost 44 inf + 0 116.872 * * [simplify]: Extracting #3: cost 55 inf + 0 116.872 * * [simplify]: Extracting #4: cost 61 inf + 62 116.872 * * [simplify]: Extracting #5: cost 53 inf + 1635 116.873 * * [simplify]: Extracting #6: cost 47 inf + 2643 116.874 * * [simplify]: Extracting #7: cost 29 inf + 8548 116.876 * * [simplify]: Extracting #8: cost 3 inf + 23035 116.883 * * [simplify]: Extracting #9: cost 0 inf + 24504 116.888 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 116.888 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 116.888 * * * * [progress]: [ 286 / 2703 ] simplifiying candidate # 116.889 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 116.889 * * [simplify]: iters left: 6 (24 enodes) 116.896 * * [simplify]: iters left: 5 (89 enodes) 116.912 * * [simplify]: iters left: 4 (137 enodes) 116.959 * * [simplify]: iters left: 3 (276 enodes) 117.069 * * [simplify]: Extracting #0: cost 1 inf + 0 117.069 * * [simplify]: Extracting #1: cost 73 inf + 0 117.070 * * [simplify]: Extracting #2: cost 127 inf + 1 117.070 * * [simplify]: Extracting #3: cost 137 inf + 1 117.071 * * [simplify]: Extracting #4: cost 139 inf + 566 117.072 * * [simplify]: Extracting #5: cost 134 inf + 1294 117.073 * * [simplify]: Extracting #6: cost 130 inf + 3746 117.074 * * [simplify]: Extracting #7: cost 108 inf + 10587 117.078 * * [simplify]: Extracting #8: cost 76 inf + 27371 117.101 * * [simplify]: Extracting #9: cost 8 inf + 76085 117.133 * * [simplify]: Extracting #10: cost 0 inf + 81598 117.153 * * [simplify]: Extracting #11: cost 0 inf + 81518 117.179 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) 117.180 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 117.180 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 117.180 * * [simplify]: iters left: 6 (19 enodes) 117.189 * * [simplify]: iters left: 5 (64 enodes) 117.208 * * [simplify]: iters left: 4 (81 enodes) 117.233 * * [simplify]: iters left: 3 (104 enodes) 117.259 * * [simplify]: iters left: 2 (123 enodes) 117.277 * * [simplify]: iters left: 1 (142 enodes) 117.297 * * [simplify]: Extracting #0: cost 1 inf + 0 117.297 * * [simplify]: Extracting #1: cost 21 inf + 0 117.297 * * [simplify]: Extracting #2: cost 44 inf + 0 117.297 * * [simplify]: Extracting #3: cost 56 inf + 0 117.298 * * [simplify]: Extracting #4: cost 62 inf + 123 117.298 * * [simplify]: Extracting #5: cost 50 inf + 1175 117.299 * * [simplify]: Extracting #6: cost 29 inf + 7664 117.301 * * [simplify]: Extracting #7: cost 4 inf + 20907 117.305 * * [simplify]: Extracting #8: cost 0 inf + 23300 117.309 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 117.309 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 117.309 * * * * [progress]: [ 287 / 2703 ] simplifiying candidate # 117.310 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 117.310 * * [simplify]: iters left: 6 (23 enodes) 117.315 * * [simplify]: iters left: 5 (84 enodes) 117.336 * * [simplify]: iters left: 4 (144 enodes) 117.367 * * [simplify]: iters left: 3 (337 enodes) 117.540 * * [simplify]: Extracting #0: cost 1 inf + 0 117.540 * * [simplify]: Extracting #1: cost 115 inf + 0 117.541 * * [simplify]: Extracting #2: cost 222 inf + 0 117.542 * * [simplify]: Extracting #3: cost 232 inf + 0 117.543 * * [simplify]: Extracting #4: cost 234 inf + 586 117.545 * * [simplify]: Extracting #5: cost 229 inf + 1836 117.547 * * [simplify]: Extracting #6: cost 207 inf + 8392 117.552 * * [simplify]: Extracting #7: cost 187 inf + 17372 117.589 * * [simplify]: Extracting #8: cost 39 inf + 123803 117.640 * * [simplify]: Extracting #9: cost 0 inf + 153351 117.707 * * [simplify]: Extracting #10: cost 0 inf + 153311 117.752 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 117.752 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 117.752 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 117.752 * * [simplify]: iters left: 6 (20 enodes) 117.757 * * [simplify]: iters left: 5 (67 enodes) 117.767 * * [simplify]: iters left: 4 (84 enodes) 117.781 * * [simplify]: iters left: 3 (107 enodes) 117.796 * * [simplify]: iters left: 2 (126 enodes) 117.824 * * [simplify]: iters left: 1 (145 enodes) 117.849 * * [simplify]: Extracting #0: cost 1 inf + 0 117.849 * * [simplify]: Extracting #1: cost 21 inf + 0 117.849 * * [simplify]: Extracting #2: cost 44 inf + 0 117.850 * * [simplify]: Extracting #3: cost 55 inf + 0 117.850 * * [simplify]: Extracting #4: cost 61 inf + 62 117.850 * * [simplify]: Extracting #5: cost 53 inf + 1635 117.850 * * [simplify]: Extracting #6: cost 47 inf + 2643 117.851 * * [simplify]: Extracting #7: cost 29 inf + 8548 117.854 * * [simplify]: Extracting #8: cost 3 inf + 23035 117.858 * * [simplify]: Extracting #9: cost 0 inf + 24504 117.862 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 117.862 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 117.863 * * * * [progress]: [ 288 / 2703 ] simplifiying candidate # 117.863 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 117.863 * * [simplify]: iters left: 6 (23 enodes) 117.869 * * [simplify]: iters left: 5 (84 enodes) 117.885 * * [simplify]: iters left: 4 (142 enodes) 117.933 * * [simplify]: iters left: 3 (303 enodes) 118.125 * * [simplify]: Extracting #0: cost 1 inf + 0 118.125 * * [simplify]: Extracting #1: cost 72 inf + 0 118.125 * * [simplify]: Extracting #2: cost 137 inf + 1 118.126 * * [simplify]: Extracting #3: cost 147 inf + 1 118.127 * * [simplify]: Extracting #4: cost 150 inf + 385 118.127 * * [simplify]: Extracting #5: cost 145 inf + 1253 118.128 * * [simplify]: Extracting #6: cost 142 inf + 3123 118.132 * * [simplify]: Extracting #7: cost 120 inf + 10648 118.141 * * [simplify]: Extracting #8: cost 82 inf + 29532 118.161 * * [simplify]: Extracting #9: cost 10 inf + 80764 118.181 * * [simplify]: Extracting #10: cost 0 inf + 87865 118.200 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 118.200 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 118.201 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 118.201 * * [simplify]: iters left: 6 (19 enodes) 118.205 * * [simplify]: iters left: 5 (64 enodes) 118.216 * * [simplify]: iters left: 4 (81 enodes) 118.241 * * [simplify]: iters left: 3 (104 enodes) 118.266 * * [simplify]: iters left: 2 (123 enodes) 118.283 * * [simplify]: iters left: 1 (142 enodes) 118.303 * * [simplify]: Extracting #0: cost 1 inf + 0 118.303 * * [simplify]: Extracting #1: cost 21 inf + 0 118.304 * * [simplify]: Extracting #2: cost 44 inf + 0 118.304 * * [simplify]: Extracting #3: cost 56 inf + 0 118.304 * * [simplify]: Extracting #4: cost 62 inf + 123 118.304 * * [simplify]: Extracting #5: cost 50 inf + 1175 118.305 * * [simplify]: Extracting #6: cost 29 inf + 7664 118.308 * * [simplify]: Extracting #7: cost 4 inf + 20907 118.313 * * [simplify]: Extracting #8: cost 0 inf + 23300 118.320 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 118.320 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 118.320 * * * * [progress]: [ 289 / 2703 ] simplifiying candidate # 118.321 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 118.321 * * [simplify]: iters left: 6 (23 enodes) 118.332 * * [simplify]: iters left: 5 (84 enodes) 118.362 * * [simplify]: iters left: 4 (141 enodes) 118.388 * * [simplify]: iters left: 3 (302 enodes) 118.523 * * [simplify]: Extracting #0: cost 1 inf + 0 118.524 * * [simplify]: Extracting #1: cost 95 inf + 0 118.525 * * [simplify]: Extracting #2: cost 199 inf + 0 118.527 * * [simplify]: Extracting #3: cost 209 inf + 0 118.528 * * [simplify]: Extracting #4: cost 211 inf + 586 118.530 * * [simplify]: Extracting #5: cost 205 inf + 1917 118.533 * * [simplify]: Extracting #6: cost 193 inf + 4375 118.536 * * [simplify]: Extracting #7: cost 182 inf + 7642 118.546 * * [simplify]: Extracting #8: cost 141 inf + 31102 118.589 * * [simplify]: Extracting #9: cost 28 inf + 115330 118.629 * * [simplify]: Extracting #10: cost 0 inf + 136998 118.680 * * [simplify]: Extracting #11: cost 0 inf + 136878 118.721 * [simplify]: Simplified to (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cbrt (sqrt 2))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 118.721 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cbrt (sqrt 2))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 118.721 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 118.721 * * [simplify]: iters left: 6 (20 enodes) 118.726 * * [simplify]: iters left: 5 (67 enodes) 118.737 * * [simplify]: iters left: 4 (84 enodes) 118.750 * * [simplify]: iters left: 3 (107 enodes) 118.770 * * [simplify]: iters left: 2 (126 enodes) 118.798 * * [simplify]: iters left: 1 (145 enodes) 118.818 * * [simplify]: Extracting #0: cost 1 inf + 0 118.818 * * [simplify]: Extracting #1: cost 21 inf + 0 118.818 * * [simplify]: Extracting #2: cost 44 inf + 0 118.819 * * [simplify]: Extracting #3: cost 55 inf + 0 118.819 * * [simplify]: Extracting #4: cost 61 inf + 62 118.819 * * [simplify]: Extracting #5: cost 53 inf + 1555 118.819 * * [simplify]: Extracting #6: cost 47 inf + 2443 118.820 * * [simplify]: Extracting #7: cost 29 inf + 8268 118.824 * * [simplify]: Extracting #8: cost 3 inf + 22915 118.832 * * [simplify]: Extracting #9: cost 0 inf + 24424 118.840 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 118.840 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 118.840 * * * * [progress]: [ 290 / 2703 ] simplifiying candidate # 118.841 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 118.841 * * [simplify]: iters left: 6 (24 enodes) 118.851 * * [simplify]: iters left: 5 (86 enodes) 118.868 * * [simplify]: iters left: 4 (135 enodes) 118.896 * * [simplify]: iters left: 3 (251 enodes) 119.026 * * [simplify]: Extracting #0: cost 1 inf + 0 119.026 * * [simplify]: Extracting #1: cost 69 inf + 0 119.027 * * [simplify]: Extracting #2: cost 124 inf + 0 119.028 * * [simplify]: Extracting #3: cost 136 inf + 0 119.029 * * [simplify]: Extracting #4: cost 140 inf + 525 119.030 * * [simplify]: Extracting #5: cost 138 inf + 1091 119.031 * * [simplify]: Extracting #6: cost 128 inf + 2423 119.037 * * [simplify]: Extracting #7: cost 81 inf + 24983 119.051 * * [simplify]: Extracting #8: cost 15 inf + 70707 119.069 * * [simplify]: Extracting #9: cost 0 inf + 83265 119.088 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2))))) 119.088 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 119.089 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 119.089 * * [simplify]: iters left: 6 (21 enodes) 119.094 * * [simplify]: iters left: 5 (70 enodes) 119.105 * * [simplify]: iters left: 4 (87 enodes) 119.121 * * [simplify]: iters left: 3 (110 enodes) 119.152 * * [simplify]: iters left: 2 (129 enodes) 119.187 * * [simplify]: iters left: 1 (148 enodes) 119.232 * * [simplify]: Extracting #0: cost 1 inf + 0 119.232 * * [simplify]: Extracting #1: cost 22 inf + 0 119.232 * * [simplify]: Extracting #2: cost 45 inf + 0 119.232 * * [simplify]: Extracting #3: cost 57 inf + 0 119.233 * * [simplify]: Extracting #4: cost 64 inf + 62 119.233 * * [simplify]: Extracting #5: cost 59 inf + 1051 119.234 * * [simplify]: Extracting #6: cost 50 inf + 2443 119.235 * * [simplify]: Extracting #7: cost 34 inf + 7483 119.241 * * [simplify]: Extracting #8: cost 9 inf + 21163 119.249 * * [simplify]: Extracting #9: cost 0 inf + 26012 119.257 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2))))) 119.257 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2))))))) 119.257 * * * * [progress]: [ 291 / 2703 ] simplifiying candidate # 119.257 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 119.258 * * [simplify]: iters left: 6 (22 enodes) 119.268 * * [simplify]: iters left: 5 (79 enodes) 119.293 * * [simplify]: iters left: 4 (128 enodes) 119.337 * * [simplify]: iters left: 3 (244 enodes) 119.436 * * [simplify]: Extracting #0: cost 1 inf + 0 119.436 * * [simplify]: Extracting #1: cost 70 inf + 0 119.437 * * [simplify]: Extracting #2: cost 124 inf + 0 119.438 * * [simplify]: Extracting #3: cost 134 inf + 0 119.439 * * [simplify]: Extracting #4: cost 137 inf + 525 119.440 * * [simplify]: Extracting #5: cost 135 inf + 1091 119.441 * * [simplify]: Extracting #6: cost 124 inf + 2203 119.448 * * [simplify]: Extracting #7: cost 76 inf + 27335 119.477 * * [simplify]: Extracting #8: cost 6 inf + 74879 119.506 * * [simplify]: Extracting #9: cost 0 inf + 78881 119.524 * * [simplify]: Extracting #10: cost 0 inf + 78841 119.541 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 119.541 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 119.541 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 119.541 * * [simplify]: iters left: 6 (20 enodes) 119.546 * * [simplify]: iters left: 5 (67 enodes) 119.556 * * [simplify]: iters left: 4 (84 enodes) 119.583 * * [simplify]: iters left: 3 (107 enodes) 119.612 * * [simplify]: iters left: 2 (126 enodes) 119.639 * * [simplify]: iters left: 1 (145 enodes) 119.660 * * [simplify]: Extracting #0: cost 1 inf + 0 119.660 * * [simplify]: Extracting #1: cost 21 inf + 0 119.660 * * [simplify]: Extracting #2: cost 44 inf + 0 119.660 * * [simplify]: Extracting #3: cost 55 inf + 0 119.660 * * [simplify]: Extracting #4: cost 61 inf + 62 119.661 * * [simplify]: Extracting #5: cost 53 inf + 1555 119.661 * * [simplify]: Extracting #6: cost 47 inf + 2443 119.662 * * [simplify]: Extracting #7: cost 29 inf + 8188 119.665 * * [simplify]: Extracting #8: cost 3 inf + 22155 119.669 * * [simplify]: Extracting #9: cost 0 inf + 23544 119.675 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 119.675 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 119.676 * * * * [progress]: [ 292 / 2703 ] simplifiying candidate # 119.676 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 119.678 * * [simplify]: iters left: 6 (23 enodes) 119.690 * * [simplify]: iters left: 5 (84 enodes) 119.716 * * [simplify]: iters left: 4 (121 enodes) 119.753 * * [simplify]: iters left: 3 (192 enodes) 119.807 * * [simplify]: iters left: 2 (312 enodes) 119.938 * * [simplify]: Extracting #0: cost 1 inf + 0 119.938 * * [simplify]: Extracting #1: cost 54 inf + 0 119.938 * * [simplify]: Extracting #2: cost 98 inf + 1 119.939 * * [simplify]: Extracting #3: cost 107 inf + 1 119.939 * * [simplify]: Extracting #4: cost 108 inf + 587 119.940 * * [simplify]: Extracting #5: cost 104 inf + 1294 119.940 * * [simplify]: Extracting #6: cost 105 inf + 1958 119.941 * * [simplify]: Extracting #7: cost 89 inf + 5586 119.945 * * [simplify]: Extracting #8: cost 52 inf + 24231 119.959 * * [simplify]: Extracting #9: cost 3 inf + 57430 119.984 * * [simplify]: Extracting #10: cost 0 inf + 59582 120.010 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (cbrt (sqrt 2)))) 120.010 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 120.011 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 120.011 * * [simplify]: iters left: 6 (19 enodes) 120.016 * * [simplify]: iters left: 5 (64 enodes) 120.026 * * [simplify]: iters left: 4 (81 enodes) 120.038 * * [simplify]: iters left: 3 (104 enodes) 120.063 * * [simplify]: iters left: 2 (123 enodes) 120.083 * * [simplify]: iters left: 1 (142 enodes) 120.109 * * [simplify]: Extracting #0: cost 1 inf + 0 120.109 * * [simplify]: Extracting #1: cost 21 inf + 0 120.109 * * [simplify]: Extracting #2: cost 44 inf + 0 120.109 * * [simplify]: Extracting #3: cost 56 inf + 0 120.110 * * [simplify]: Extracting #4: cost 62 inf + 123 120.110 * * [simplify]: Extracting #5: cost 50 inf + 1135 120.112 * * [simplify]: Extracting #6: cost 29 inf + 7304 120.118 * * [simplify]: Extracting #7: cost 4 inf + 20067 120.125 * * [simplify]: Extracting #8: cost 0 inf + 22340 120.132 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 120.132 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 120.132 * * * * [progress]: [ 293 / 2703 ] simplifiying candidate # 120.133 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 120.133 * * [simplify]: iters left: 6 (22 enodes) 120.139 * * [simplify]: iters left: 5 (79 enodes) 120.153 * * [simplify]: iters left: 4 (128 enodes) 120.177 * * [simplify]: iters left: 3 (244 enodes) 120.258 * * [simplify]: Extracting #0: cost 1 inf + 0 120.258 * * [simplify]: Extracting #1: cost 70 inf + 0 120.259 * * [simplify]: Extracting #2: cost 124 inf + 0 120.259 * * [simplify]: Extracting #3: cost 134 inf + 0 120.260 * * [simplify]: Extracting #4: cost 137 inf + 525 120.260 * * [simplify]: Extracting #5: cost 135 inf + 1091 120.261 * * [simplify]: Extracting #6: cost 124 inf + 2203 120.264 * * [simplify]: Extracting #7: cost 76 inf + 27335 120.292 * * [simplify]: Extracting #8: cost 6 inf + 74879 120.326 * * [simplify]: Extracting #9: cost 0 inf + 78881 120.361 * * [simplify]: Extracting #10: cost 0 inf + 78841 120.389 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 120.389 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 120.389 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 120.389 * * [simplify]: iters left: 6 (20 enodes) 120.394 * * [simplify]: iters left: 5 (67 enodes) 120.404 * * [simplify]: iters left: 4 (84 enodes) 120.417 * * [simplify]: iters left: 3 (107 enodes) 120.433 * * [simplify]: iters left: 2 (126 enodes) 120.456 * * [simplify]: iters left: 1 (145 enodes) 120.479 * * [simplify]: Extracting #0: cost 1 inf + 0 120.479 * * [simplify]: Extracting #1: cost 21 inf + 0 120.479 * * [simplify]: Extracting #2: cost 44 inf + 0 120.479 * * [simplify]: Extracting #3: cost 55 inf + 0 120.480 * * [simplify]: Extracting #4: cost 61 inf + 62 120.480 * * [simplify]: Extracting #5: cost 53 inf + 1555 120.480 * * [simplify]: Extracting #6: cost 47 inf + 2443 120.481 * * [simplify]: Extracting #7: cost 29 inf + 8188 120.484 * * [simplify]: Extracting #8: cost 3 inf + 22155 120.490 * * [simplify]: Extracting #9: cost 0 inf + 23544 120.497 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 120.497 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 120.498 * * * * [progress]: [ 294 / 2703 ] simplifiying candidate # 120.498 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) 1)) 120.498 * * [simplify]: iters left: 6 (22 enodes) 120.509 * * [simplify]: iters left: 5 (79 enodes) 120.535 * * [simplify]: iters left: 4 (118 enodes) 120.574 * * [simplify]: iters left: 3 (193 enodes) 120.623 * * [simplify]: iters left: 2 (324 enodes) 120.803 * * [simplify]: Extracting #0: cost 1 inf + 0 120.803 * * [simplify]: Extracting #1: cost 49 inf + 0 120.804 * * [simplify]: Extracting #2: cost 92 inf + 1 120.804 * * [simplify]: Extracting #3: cost 101 inf + 1 120.804 * * [simplify]: Extracting #4: cost 102 inf + 587 120.805 * * [simplify]: Extracting #5: cost 100 inf + 1092 120.805 * * [simplify]: Extracting #6: cost 99 inf + 1958 120.806 * * [simplify]: Extracting #7: cost 83 inf + 5404 120.809 * * [simplify]: Extracting #8: cost 52 inf + 22009 120.821 * * [simplify]: Extracting #9: cost 7 inf + 50746 120.843 * * [simplify]: Extracting #10: cost 0 inf + 55216 120.857 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (cbrt (sqrt 2)))) 120.858 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 120.858 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 120.858 * * [simplify]: iters left: 6 (19 enodes) 120.863 * * [simplify]: iters left: 5 (64 enodes) 120.873 * * [simplify]: iters left: 4 (81 enodes) 120.887 * * [simplify]: iters left: 3 (104 enodes) 120.917 * * [simplify]: iters left: 2 (123 enodes) 120.950 * * [simplify]: iters left: 1 (142 enodes) 120.993 * * [simplify]: Extracting #0: cost 1 inf + 0 120.993 * * [simplify]: Extracting #1: cost 21 inf + 0 120.993 * * [simplify]: Extracting #2: cost 44 inf + 0 120.993 * * [simplify]: Extracting #3: cost 56 inf + 0 120.994 * * [simplify]: Extracting #4: cost 62 inf + 123 120.994 * * [simplify]: Extracting #5: cost 50 inf + 1135 120.996 * * [simplify]: Extracting #6: cost 29 inf + 7304 121.002 * * [simplify]: Extracting #7: cost 4 inf + 20067 121.009 * * [simplify]: Extracting #8: cost 0 inf + 22340 121.017 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 121.017 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) 1)) (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 121.017 * * * * [progress]: [ 295 / 2703 ] simplifiying candidate # 121.017 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 121.018 * * [simplify]: iters left: 6 (23 enodes) 121.028 * * [simplify]: iters left: 5 (86 enodes) 121.042 * * [simplify]: iters left: 4 (141 enodes) 121.081 * * [simplify]: iters left: 3 (280 enodes) 121.247 * * [simplify]: Extracting #0: cost 1 inf + 0 121.248 * * [simplify]: Extracting #1: cost 78 inf + 0 121.248 * * [simplify]: Extracting #2: cost 150 inf + 1 121.249 * * [simplify]: Extracting #3: cost 159 inf + 1 121.250 * * [simplify]: Extracting #4: cost 161 inf + 627 121.251 * * [simplify]: Extracting #5: cost 163 inf + 1394 121.252 * * [simplify]: Extracting #6: cost 158 inf + 1620 121.252 * * [simplify]: Extracting #7: cost 152 inf + 2066 121.256 * * [simplify]: Extracting #8: cost 113 inf + 20261 121.285 * * [simplify]: Extracting #9: cost 22 inf + 78914 121.329 * * [simplify]: Extracting #10: cost 0 inf + 92743 121.373 * * [simplify]: Extracting #11: cost 0 inf + 92663 121.417 * [simplify]: Simplified to (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 121.418 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 121.418 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 121.418 * * [simplify]: iters left: 6 (19 enodes) 121.428 * * [simplify]: iters left: 5 (64 enodes) 121.450 * * [simplify]: iters left: 4 (81 enodes) 121.475 * * [simplify]: iters left: 3 (104 enodes) 121.504 * * [simplify]: iters left: 2 (123 enodes) 121.538 * * [simplify]: iters left: 1 (142 enodes) 121.578 * * [simplify]: Extracting #0: cost 1 inf + 0 121.578 * * [simplify]: Extracting #1: cost 21 inf + 0 121.578 * * [simplify]: Extracting #2: cost 44 inf + 0 121.579 * * [simplify]: Extracting #3: cost 55 inf + 0 121.579 * * [simplify]: Extracting #4: cost 53 inf + 488 121.579 * * [simplify]: Extracting #5: cost 50 inf + 1958 121.580 * * [simplify]: Extracting #6: cost 46 inf + 2303 121.581 * * [simplify]: Extracting #7: cost 33 inf + 5853 121.587 * * [simplify]: Extracting #8: cost 6 inf + 19922 121.594 * * [simplify]: Extracting #9: cost 0 inf + 23222 121.603 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 121.603 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 121.603 * * * * [progress]: [ 296 / 2703 ] simplifiying candidate # 121.604 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 121.604 * * [simplify]: iters left: 6 (24 enodes) 121.616 * * [simplify]: iters left: 5 (88 enodes) 121.633 * * [simplify]: iters left: 4 (135 enodes) 121.661 * * [simplify]: iters left: 3 (223 enodes) 121.731 * * [simplify]: iters left: 2 (407 enodes) 121.910 * * [simplify]: Extracting #0: cost 1 inf + 0 121.910 * * [simplify]: Extracting #1: cost 37 inf + 0 121.911 * * [simplify]: Extracting #2: cost 89 inf + 1 121.911 * * [simplify]: Extracting #3: cost 100 inf + 1 121.912 * * [simplify]: Extracting #4: cost 98 inf + 1534 121.913 * * [simplify]: Extracting #5: cost 102 inf + 1898 121.914 * * [simplify]: Extracting #6: cost 92 inf + 2468 121.919 * * [simplify]: Extracting #7: cost 68 inf + 10990 121.938 * * [simplify]: Extracting #8: cost 8 inf + 48353 121.962 * * [simplify]: Extracting #9: cost 0 inf + 54083 121.986 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 121.986 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 121.987 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 121.987 * * [simplify]: iters left: 6 (20 enodes) 121.997 * * [simplify]: iters left: 5 (67 enodes) 122.018 * * [simplify]: iters left: 4 (84 enodes) 122.043 * * [simplify]: iters left: 3 (107 enodes) 122.058 * * [simplify]: iters left: 2 (126 enodes) 122.083 * * [simplify]: iters left: 1 (145 enodes) 122.124 * * [simplify]: Extracting #0: cost 1 inf + 0 122.124 * * [simplify]: Extracting #1: cost 21 inf + 0 122.124 * * [simplify]: Extracting #2: cost 44 inf + 0 122.124 * * [simplify]: Extracting #3: cost 56 inf + 0 122.125 * * [simplify]: Extracting #4: cost 56 inf + 507 122.125 * * [simplify]: Extracting #5: cost 53 inf + 1656 122.126 * * [simplify]: Extracting #6: cost 48 inf + 2303 122.128 * * [simplify]: Extracting #7: cost 29 inf + 8935 122.132 * * [simplify]: Extracting #8: cost 20 inf + 12681 122.138 * * [simplify]: Extracting #9: cost 2 inf + 23280 122.146 * * [simplify]: Extracting #10: cost 0 inf + 24106 122.153 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) 122.153 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))))) 122.154 * * * * [progress]: [ 297 / 2703 ] simplifiying candidate # 122.154 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 122.154 * * [simplify]: iters left: 6 (22 enodes) 122.165 * * [simplify]: iters left: 5 (81 enodes) 122.193 * * [simplify]: iters left: 4 (128 enodes) 122.235 * * [simplify]: iters left: 3 (214 enodes) 122.305 * * [simplify]: iters left: 2 (388 enodes) 122.543 * * [simplify]: Extracting #0: cost 1 inf + 0 122.544 * * [simplify]: Extracting #1: cost 36 inf + 0 122.544 * * [simplify]: Extracting #2: cost 88 inf + 1 122.545 * * [simplify]: Extracting #3: cost 97 inf + 1 122.546 * * [simplify]: Extracting #4: cost 97 inf + 950 122.546 * * [simplify]: Extracting #5: cost 98 inf + 1898 122.547 * * [simplify]: Extracting #6: cost 88 inf + 2388 122.550 * * [simplify]: Extracting #7: cost 49 inf + 18906 122.560 * * [simplify]: Extracting #8: cost 3 inf + 48384 122.572 * * [simplify]: Extracting #9: cost 0 inf + 50395 122.591 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 122.591 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 122.592 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 122.592 * * [simplify]: iters left: 6 (19 enodes) 122.602 * * [simplify]: iters left: 5 (64 enodes) 122.617 * * [simplify]: iters left: 4 (81 enodes) 122.630 * * [simplify]: iters left: 3 (104 enodes) 122.646 * * [simplify]: iters left: 2 (123 enodes) 122.679 * * [simplify]: iters left: 1 (142 enodes) 122.699 * * [simplify]: Extracting #0: cost 1 inf + 0 122.699 * * [simplify]: Extracting #1: cost 21 inf + 0 122.700 * * [simplify]: Extracting #2: cost 44 inf + 0 122.700 * * [simplify]: Extracting #3: cost 55 inf + 0 122.700 * * [simplify]: Extracting #4: cost 53 inf + 488 122.700 * * [simplify]: Extracting #5: cost 50 inf + 1958 122.701 * * [simplify]: Extracting #6: cost 46 inf + 2303 122.701 * * [simplify]: Extracting #7: cost 33 inf + 5773 122.704 * * [simplify]: Extracting #8: cost 6 inf + 19202 122.707 * * [simplify]: Extracting #9: cost 0 inf + 22342 122.714 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 122.714 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 122.714 * * * * [progress]: [ 298 / 2703 ] simplifiying candidate # 122.715 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt 1))) 122.715 * * [simplify]: iters left: 6 (22 enodes) 122.729 * * [simplify]: iters left: 5 (81 enodes) 122.754 * * [simplify]: iters left: 4 (113 enodes) 122.791 * * [simplify]: iters left: 3 (155 enodes) 122.821 * * [simplify]: iters left: 2 (203 enodes) 122.883 * * [simplify]: iters left: 1 (284 enodes) 122.997 * * [simplify]: Extracting #0: cost 1 inf + 0 122.997 * * [simplify]: Extracting #1: cost 18 inf + 0 122.997 * * [simplify]: Extracting #2: cost 34 inf + 1 122.998 * * [simplify]: Extracting #3: cost 42 inf + 1 122.998 * * [simplify]: Extracting #4: cost 46 inf + 124 122.998 * * [simplify]: Extracting #5: cost 43 inf + 1576 122.999 * * [simplify]: Extracting #6: cost 41 inf + 2102 123.001 * * [simplify]: Extracting #7: cost 35 inf + 2348 123.003 * * [simplify]: Extracting #8: cost 18 inf + 8938 123.011 * * [simplify]: Extracting #9: cost 3 inf + 17535 123.023 * * [simplify]: Extracting #10: cost 0 inf + 19307 123.035 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 123.035 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 123.036 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 123.036 * * [simplify]: iters left: 6 (18 enodes) 123.045 * * [simplify]: iters left: 5 (61 enodes) 123.062 * * [simplify]: iters left: 4 (77 enodes) 123.076 * * [simplify]: iters left: 3 (98 enodes) 123.090 * * [simplify]: iters left: 2 (116 enodes) 123.120 * * [simplify]: iters left: 1 (133 enodes) 123.159 * * [simplify]: Extracting #0: cost 1 inf + 0 123.159 * * [simplify]: Extracting #1: cost 22 inf + 0 123.159 * * [simplify]: Extracting #2: cost 45 inf + 0 123.159 * * [simplify]: Extracting #3: cost 55 inf + 0 123.160 * * [simplify]: Extracting #4: cost 53 inf + 427 123.160 * * [simplify]: Extracting #5: cost 42 inf + 1740 123.162 * * [simplify]: Extracting #6: cost 24 inf + 8190 123.167 * * [simplify]: Extracting #7: cost 5 inf + 17834 123.174 * * [simplify]: Extracting #8: cost 0 inf + 20510 123.181 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 123.181 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt 1))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 123.181 * * * * [progress]: [ 299 / 2703 ] simplifiying candidate # 123.182 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 123.182 * * [simplify]: iters left: 6 (22 enodes) 123.193 * * [simplify]: iters left: 5 (81 enodes) 123.219 * * [simplify]: iters left: 4 (128 enodes) 123.241 * * [simplify]: iters left: 3 (214 enodes) 123.320 * * [simplify]: iters left: 2 (388 enodes) 123.496 * * [simplify]: Extracting #0: cost 1 inf + 0 123.496 * * [simplify]: Extracting #1: cost 36 inf + 0 123.496 * * [simplify]: Extracting #2: cost 88 inf + 1 123.497 * * [simplify]: Extracting #3: cost 97 inf + 1 123.497 * * [simplify]: Extracting #4: cost 97 inf + 950 123.498 * * [simplify]: Extracting #5: cost 98 inf + 1898 123.499 * * [simplify]: Extracting #6: cost 88 inf + 2388 123.501 * * [simplify]: Extracting #7: cost 49 inf + 18906 123.522 * * [simplify]: Extracting #8: cost 3 inf + 48384 123.534 * * [simplify]: Extracting #9: cost 0 inf + 50395 123.553 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 123.554 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 123.554 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 123.554 * * [simplify]: iters left: 6 (19 enodes) 123.561 * * [simplify]: iters left: 5 (64 enodes) 123.571 * * [simplify]: iters left: 4 (81 enodes) 123.584 * * [simplify]: iters left: 3 (104 enodes) 123.608 * * [simplify]: iters left: 2 (123 enodes) 123.625 * * [simplify]: iters left: 1 (142 enodes) 123.655 * * [simplify]: Extracting #0: cost 1 inf + 0 123.655 * * [simplify]: Extracting #1: cost 21 inf + 0 123.655 * * [simplify]: Extracting #2: cost 44 inf + 0 123.655 * * [simplify]: Extracting #3: cost 55 inf + 0 123.656 * * [simplify]: Extracting #4: cost 53 inf + 488 123.656 * * [simplify]: Extracting #5: cost 50 inf + 1958 123.656 * * [simplify]: Extracting #6: cost 46 inf + 2303 123.657 * * [simplify]: Extracting #7: cost 33 inf + 5773 123.659 * * [simplify]: Extracting #8: cost 6 inf + 19202 123.663 * * [simplify]: Extracting #9: cost 0 inf + 22342 123.668 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 123.668 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 123.668 * * * * [progress]: [ 300 / 2703 ] simplifiying candidate # 123.668 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 1)) 123.669 * * [simplify]: iters left: 6 (21 enodes) 123.679 * * [simplify]: iters left: 5 (74 enodes) 123.695 * * [simplify]: iters left: 4 (102 enodes) 123.711 * * [simplify]: iters left: 3 (127 enodes) 123.740 * * [simplify]: iters left: 2 (154 enodes) 123.785 * * [simplify]: iters left: 1 (162 enodes) 123.806 * * [simplify]: Extracting #0: cost 1 inf + 0 123.806 * * [simplify]: Extracting #1: cost 13 inf + 0 123.806 * * [simplify]: Extracting #2: cost 24 inf + 1 123.807 * * [simplify]: Extracting #3: cost 32 inf + 1 123.807 * * [simplify]: Extracting #4: cost 37 inf + 63 123.807 * * [simplify]: Extracting #5: cost 36 inf + 950 123.807 * * [simplify]: Extracting #6: cost 37 inf + 1174 123.807 * * [simplify]: Extracting #7: cost 29 inf + 1622 123.808 * * [simplify]: Extracting #8: cost 17 inf + 4909 123.810 * * [simplify]: Extracting #9: cost 3 inf + 12540 123.815 * * [simplify]: Extracting #10: cost 0 inf + 14191 123.817 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 123.818 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 123.818 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 123.818 * * [simplify]: iters left: 6 (18 enodes) 123.822 * * [simplify]: iters left: 5 (61 enodes) 123.832 * * [simplify]: iters left: 4 (77 enodes) 123.850 * * [simplify]: iters left: 3 (98 enodes) 123.877 * * [simplify]: iters left: 2 (116 enodes) 123.909 * * [simplify]: iters left: 1 (133 enodes) 123.947 * * [simplify]: Extracting #0: cost 1 inf + 0 123.947 * * [simplify]: Extracting #1: cost 22 inf + 0 123.947 * * [simplify]: Extracting #2: cost 45 inf + 0 123.948 * * [simplify]: Extracting #3: cost 55 inf + 0 123.948 * * [simplify]: Extracting #4: cost 53 inf + 427 123.949 * * [simplify]: Extracting #5: cost 42 inf + 1740 123.950 * * [simplify]: Extracting #6: cost 24 inf + 8190 123.956 * * [simplify]: Extracting #7: cost 5 inf + 17834 123.963 * * [simplify]: Extracting #8: cost 0 inf + 20510 123.970 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 123.970 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 1)) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 123.970 * * * * [progress]: [ 301 / 2703 ] simplifiying candidate # 123.971 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 1) 123.971 * * [simplify]: iters left: 6 (20 enodes) 123.981 * * [simplify]: iters left: 5 (71 enodes) 124.007 * * [simplify]: iters left: 4 (106 enodes) 124.041 * * [simplify]: iters left: 3 (140 enodes) 124.087 * * [simplify]: iters left: 2 (164 enodes) 124.117 * * [simplify]: iters left: 1 (165 enodes) 124.139 * * [simplify]: Extracting #0: cost 1 inf + 0 124.139 * * [simplify]: Extracting #1: cost 13 inf + 0 124.139 * * [simplify]: Extracting #2: cost 24 inf + 1 124.139 * * [simplify]: Extracting #3: cost 32 inf + 1 124.139 * * [simplify]: Extracting #4: cost 36 inf + 124 124.140 * * [simplify]: Extracting #5: cost 35 inf + 1132 124.140 * * [simplify]: Extracting #6: cost 37 inf + 1174 124.140 * * [simplify]: Extracting #7: cost 28 inf + 1783 124.141 * * [simplify]: Extracting #8: cost 19 inf + 4304 124.143 * * [simplify]: Extracting #9: cost 4 inf + 11916 124.146 * * [simplify]: Extracting #10: cost 0 inf + 14191 124.148 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 124.149 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 124.149 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 124.149 * * [simplify]: iters left: 6 (18 enodes) 124.153 * * [simplify]: iters left: 5 (61 enodes) 124.163 * * [simplify]: iters left: 4 (77 enodes) 124.183 * * [simplify]: iters left: 3 (98 enodes) 124.207 * * [simplify]: iters left: 2 (116 enodes) 124.227 * * [simplify]: iters left: 1 (133 enodes) 124.265 * * [simplify]: Extracting #0: cost 1 inf + 0 124.265 * * [simplify]: Extracting #1: cost 22 inf + 0 124.265 * * [simplify]: Extracting #2: cost 45 inf + 0 124.266 * * [simplify]: Extracting #3: cost 55 inf + 0 124.266 * * [simplify]: Extracting #4: cost 53 inf + 427 124.267 * * [simplify]: Extracting #5: cost 42 inf + 1740 124.268 * * [simplify]: Extracting #6: cost 24 inf + 8190 124.274 * * [simplify]: Extracting #7: cost 5 inf + 17834 124.280 * * [simplify]: Extracting #8: cost 0 inf + 20510 124.287 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 124.287 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 1) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 124.288 * * * * [progress]: [ 302 / 2703 ] simplifiying candidate # 124.288 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2))) 124.288 * * [simplify]: iters left: 6 (19 enodes) 124.298 * * [simplify]: iters left: 5 (68 enodes) 124.319 * * [simplify]: iters left: 4 (103 enodes) 124.353 * * [simplify]: iters left: 3 (151 enodes) 124.405 * * [simplify]: iters left: 2 (197 enodes) 124.469 * * [simplify]: iters left: 1 (211 enodes) 124.530 * * [simplify]: Extracting #0: cost 1 inf + 0 124.530 * * [simplify]: Extracting #1: cost 23 inf + 0 124.531 * * [simplify]: Extracting #2: cost 47 inf + 0 124.531 * * [simplify]: Extracting #3: cost 56 inf + 0 124.532 * * [simplify]: Extracting #4: cost 53 inf + 548 124.532 * * [simplify]: Extracting #5: cost 45 inf + 2964 124.533 * * [simplify]: Extracting #6: cost 48 inf + 3306 124.535 * * [simplify]: Extracting #7: cost 43 inf + 3431 124.536 * * [simplify]: Extracting #8: cost 33 inf + 6316 124.541 * * [simplify]: Extracting #9: cost 8 inf + 20626 124.546 * * [simplify]: Extracting #10: cost 0 inf + 26058 124.551 * * [simplify]: Extracting #11: cost 0 inf + 26018 124.556 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 124.556 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 124.557 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 124.557 * * [simplify]: iters left: 6 (19 enodes) 124.562 * * [simplify]: iters left: 5 (66 enodes) 124.582 * * [simplify]: iters left: 4 (81 enodes) 124.594 * * [simplify]: iters left: 3 (96 enodes) 124.613 * * [simplify]: iters left: 2 (124 enodes) 124.638 * * [simplify]: iters left: 1 (145 enodes) 124.664 * * [simplify]: Extracting #0: cost 1 inf + 0 124.664 * * [simplify]: Extracting #1: cost 13 inf + 0 124.664 * * [simplify]: Extracting #2: cost 26 inf + 1 124.664 * * [simplify]: Extracting #3: cost 36 inf + 1 124.665 * * [simplify]: Extracting #4: cost 44 inf + 63 124.665 * * [simplify]: Extracting #5: cost 38 inf + 672 124.666 * * [simplify]: Extracting #6: cost 20 inf + 3263 124.668 * * [simplify]: Extracting #7: cost 10 inf + 6832 124.672 * * [simplify]: Extracting #8: cost 0 inf + 12287 124.676 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (cos th))) 124.676 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (cos th))))) 124.677 * * * * [progress]: [ 303 / 2703 ] simplifiying candidate # 124.677 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 124.677 * * [simplify]: iters left: 6 (25 enodes) 124.691 * * [simplify]: iters left: 5 (105 enodes) 124.731 * * [simplify]: iters left: 4 (207 enodes) 124.785 * * [simplify]: iters left: 3 (422 enodes) 124.932 * * [simplify]: Extracting #0: cost 1 inf + 0 124.933 * * [simplify]: Extracting #1: cost 69 inf + 0 124.933 * * [simplify]: Extracting #2: cost 123 inf + 0 124.934 * * [simplify]: Extracting #3: cost 135 inf + 0 124.934 * * [simplify]: Extracting #4: cost 157 inf + 1715 124.935 * * [simplify]: Extracting #5: cost 193 inf + 3916 124.937 * * [simplify]: Extracting #6: cost 165 inf + 13636 124.950 * * [simplify]: Extracting #7: cost 56 inf + 72945 124.979 * * [simplify]: Extracting #8: cost 2 inf + 108775 125.011 * * [simplify]: Extracting #9: cost 0 inf + 107525 125.060 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (cbrt (sqrt 2))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))))) 125.061 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (cbrt (sqrt 2))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 125.061 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 125.062 * * [simplify]: iters left: 6 (23 enodes) 125.074 * * [simplify]: iters left: 5 (96 enodes) 125.108 * * [simplify]: iters left: 4 (172 enodes) 125.174 * * [simplify]: iters left: 3 (292 enodes) 125.239 * * [simplify]: iters left: 2 (422 enodes) 125.385 * * [simplify]: Extracting #0: cost 1 inf + 0 125.385 * * [simplify]: Extracting #1: cost 8 inf + 0 125.385 * * [simplify]: Extracting #2: cost 17 inf + 0 125.385 * * [simplify]: Extracting #3: cost 44 inf + 0 125.386 * * [simplify]: Extracting #4: cost 174 inf + 123 125.388 * * [simplify]: Extracting #5: cost 235 inf + 1243 125.394 * * [simplify]: Extracting #6: cost 155 inf + 13268 125.409 * * [simplify]: Extracting #7: cost 19 inf + 38937 125.426 * * [simplify]: Extracting #8: cost 1 inf + 43908 125.443 * * [simplify]: Extracting #9: cost 0 inf + 44591 125.463 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2))))) 125.463 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (cbrt (sqrt 2))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2))))))) 125.464 * * * * [progress]: [ 304 / 2703 ] simplifiying candidate # 125.464 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 125.465 * * [simplify]: iters left: 6 (24 enodes) 125.479 * * [simplify]: iters left: 5 (97 enodes) 125.506 * * [simplify]: iters left: 4 (173 enodes) 125.541 * * [simplify]: iters left: 3 (346 enodes) 125.652 * * [simplify]: Extracting #0: cost 1 inf + 0 125.652 * * [simplify]: Extracting #1: cost 71 inf + 0 125.653 * * [simplify]: Extracting #2: cost 125 inf + 0 125.653 * * [simplify]: Extracting #3: cost 152 inf + 0 125.654 * * [simplify]: Extracting #4: cost 206 inf + 1252 125.658 * * [simplify]: Extracting #5: cost 184 inf + 8999 125.671 * * [simplify]: Extracting #6: cost 94 inf + 39193 125.709 * * [simplify]: Extracting #7: cost 16 inf + 84453 125.735 * * [simplify]: Extracting #8: cost 0 inf + 94727 125.766 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 125.766 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 125.767 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))) 125.767 * * [simplify]: iters left: 6 (19 enodes) 125.776 * * [simplify]: iters left: 5 (67 enodes) 125.797 * * [simplify]: iters left: 4 (89 enodes) 125.824 * * [simplify]: iters left: 3 (111 enodes) 125.858 * * [simplify]: iters left: 2 (152 enodes) 125.912 * * [simplify]: iters left: 1 (235 enodes) 125.986 * * [simplify]: Extracting #0: cost 1 inf + 0 125.986 * * [simplify]: Extracting #1: cost 8 inf + 0 125.986 * * [simplify]: Extracting #2: cost 17 inf + 0 125.986 * * [simplify]: Extracting #3: cost 46 inf + 0 125.987 * * [simplify]: Extracting #4: cost 85 inf + 62 125.987 * * [simplify]: Extracting #5: cost 84 inf + 448 125.989 * * [simplify]: Extracting #6: cost 36 inf + 5493 125.994 * * [simplify]: Extracting #7: cost 7 inf + 11578 126.000 * * [simplify]: Extracting #8: cost 1 inf + 14517 126.006 * * [simplify]: Extracting #9: cost 0 inf + 15341 126.013 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (* (+ a2 a1) (- a1 a2)))) (cbrt (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 126.013 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (* (+ a2 a1) (- a1 a2)))) (cbrt (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 126.013 * * * * [progress]: [ 305 / 2703 ] simplifiying candidate # 126.013 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 126.014 * * [simplify]: iters left: 6 (21 enodes) 126.024 * * [simplify]: iters left: 5 (72 enodes) 126.044 * * [simplify]: iters left: 4 (97 enodes) 126.059 * * [simplify]: iters left: 3 (145 enodes) 126.088 * * [simplify]: iters left: 2 (199 enodes) 126.121 * * [simplify]: iters left: 1 (213 enodes) 126.164 * * [simplify]: Extracting #0: cost 1 inf + 0 126.164 * * [simplify]: Extracting #1: cost 23 inf + 0 126.164 * * [simplify]: Extracting #2: cost 47 inf + 0 126.164 * * [simplify]: Extracting #3: cost 55 inf + 0 126.164 * * [simplify]: Extracting #4: cost 59 inf + 62 126.164 * * [simplify]: Extracting #5: cost 59 inf + 767 126.165 * * [simplify]: Extracting #6: cost 57 inf + 1373 126.165 * * [simplify]: Extracting #7: cost 51 inf + 1539 126.166 * * [simplify]: Extracting #8: cost 39 inf + 5292 126.170 * * [simplify]: Extracting #9: cost 19 inf + 16765 126.181 * * [simplify]: Extracting #10: cost 2 inf + 27748 126.193 * * [simplify]: Extracting #11: cost 0 inf + 29156 126.204 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 126.204 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 126.205 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 126.205 * * [simplify]: iters left: 6 (19 enodes) 126.214 * * [simplify]: iters left: 5 (62 enodes) 126.232 * * [simplify]: iters left: 4 (70 enodes) 126.247 * * [simplify]: iters left: 3 (73 enodes) 126.257 * * [simplify]: Extracting #0: cost 1 inf + 0 126.257 * * [simplify]: Extracting #1: cost 8 inf + 0 126.257 * * [simplify]: Extracting #2: cost 17 inf + 0 126.257 * * [simplify]: Extracting #3: cost 25 inf + 0 126.257 * * [simplify]: Extracting #4: cost 29 inf + 62 126.257 * * [simplify]: Extracting #5: cost 31 inf + 405 126.257 * * [simplify]: Extracting #6: cost 31 inf + 689 126.258 * * [simplify]: Extracting #7: cost 25 inf + 1095 126.258 * * [simplify]: Extracting #8: cost 16 inf + 2673 126.260 * * [simplify]: Extracting #9: cost 6 inf + 6704 126.262 * * [simplify]: Extracting #10: cost 0 inf + 10206 126.265 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 126.265 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (cbrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 126.265 * * * * [progress]: [ 306 / 2703 ] simplifiying candidate # 126.266 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 126.266 * * [simplify]: iters left: 6 (20 enodes) 126.275 * * [simplify]: iters left: 5 (67 enodes) 126.296 * * [simplify]: iters left: 4 (85 enodes) 126.320 * * [simplify]: iters left: 3 (108 enodes) 126.350 * * [simplify]: iters left: 2 (119 enodes) 126.384 * * [simplify]: iters left: 1 (120 enodes) 126.417 * * [simplify]: Extracting #0: cost 1 inf + 0 126.417 * * [simplify]: Extracting #1: cost 15 inf + 0 126.417 * * [simplify]: Extracting #2: cost 31 inf + 0 126.417 * * [simplify]: Extracting #3: cost 39 inf + 0 126.417 * * [simplify]: Extracting #4: cost 43 inf + 62 126.418 * * [simplify]: Extracting #5: cost 43 inf + 767 126.418 * * [simplify]: Extracting #6: cost 41 inf + 1253 126.419 * * [simplify]: Extracting #7: cost 35 inf + 1539 126.420 * * [simplify]: Extracting #8: cost 24 inf + 5270 126.423 * * [simplify]: Extracting #9: cost 12 inf + 11031 126.428 * * [simplify]: Extracting #10: cost 0 inf + 17976 126.434 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) 126.435 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 126.435 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 126.435 * * [simplify]: iters left: 6 (19 enodes) 126.444 * * [simplify]: iters left: 5 (62 enodes) 126.463 * * [simplify]: iters left: 4 (70 enodes) 126.484 * * [simplify]: iters left: 3 (73 enodes) 126.505 * * [simplify]: Extracting #0: cost 1 inf + 0 126.505 * * [simplify]: Extracting #1: cost 8 inf + 0 126.505 * * [simplify]: Extracting #2: cost 17 inf + 0 126.505 * * [simplify]: Extracting #3: cost 25 inf + 0 126.505 * * [simplify]: Extracting #4: cost 29 inf + 62 126.505 * * [simplify]: Extracting #5: cost 31 inf + 405 126.506 * * [simplify]: Extracting #6: cost 31 inf + 689 126.506 * * [simplify]: Extracting #7: cost 25 inf + 1095 126.507 * * [simplify]: Extracting #8: cost 16 inf + 2673 126.508 * * [simplify]: Extracting #9: cost 6 inf + 6584 126.511 * * [simplify]: Extracting #10: cost 0 inf + 9886 126.513 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 126.514 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 126.514 * * * * [progress]: [ 307 / 2703 ] simplifiying candidate # 126.514 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 126.515 * * [simplify]: iters left: 6 (22 enodes) 126.526 * * [simplify]: iters left: 5 (77 enodes) 126.546 * * [simplify]: iters left: 4 (114 enodes) 126.565 * * [simplify]: iters left: 3 (208 enodes) 126.642 * * [simplify]: iters left: 2 (434 enodes) 126.850 * * [simplify]: Extracting #0: cost 1 inf + 0 126.850 * * [simplify]: Extracting #1: cost 76 inf + 0 126.851 * * [simplify]: Extracting #2: cost 144 inf + 0 126.853 * * [simplify]: Extracting #3: cost 153 inf + 0 126.854 * * [simplify]: Extracting #4: cost 154 inf + 626 126.856 * * [simplify]: Extracting #5: cost 159 inf + 767 126.857 * * [simplify]: Extracting #6: cost 149 inf + 1337 126.862 * * [simplify]: Extracting #7: cost 114 inf + 16952 126.898 * * [simplify]: Extracting #8: cost 30 inf + 73197 126.941 * * [simplify]: Extracting #9: cost 0 inf + 94446 126.986 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 126.986 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 126.986 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 126.987 * * [simplify]: iters left: 6 (20 enodes) 126.996 * * [simplify]: iters left: 5 (67 enodes) 127.017 * * [simplify]: iters left: 4 (84 enodes) 127.042 * * [simplify]: iters left: 3 (107 enodes) 127.065 * * [simplify]: iters left: 2 (126 enodes) 127.083 * * [simplify]: iters left: 1 (145 enodes) 127.125 * * [simplify]: Extracting #0: cost 1 inf + 0 127.125 * * [simplify]: Extracting #1: cost 21 inf + 0 127.126 * * [simplify]: Extracting #2: cost 44 inf + 0 127.126 * * [simplify]: Extracting #3: cost 55 inf + 0 127.126 * * [simplify]: Extracting #4: cost 61 inf + 62 127.127 * * [simplify]: Extracting #5: cost 53 inf + 1635 127.128 * * [simplify]: Extracting #6: cost 47 inf + 2643 127.130 * * [simplify]: Extracting #7: cost 29 inf + 8388 127.136 * * [simplify]: Extracting #8: cost 3 inf + 22915 127.143 * * [simplify]: Extracting #9: cost 0 inf + 24464 127.151 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 127.151 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 127.151 * * * * [progress]: [ 308 / 2703 ] simplifiying candidate # 127.152 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 127.152 * * [simplify]: iters left: 6 (23 enodes) 127.161 * * [simplify]: iters left: 5 (79 enodes) 127.185 * * [simplify]: iters left: 4 (108 enodes) 127.204 * * [simplify]: iters left: 3 (169 enodes) 127.240 * * [simplify]: iters left: 2 (267 enodes) 127.338 * * [simplify]: iters left: 1 (390 enodes) 127.474 * * [simplify]: Extracting #0: cost 1 inf + 0 127.475 * * [simplify]: Extracting #1: cost 38 inf + 0 127.475 * * [simplify]: Extracting #2: cost 77 inf + 0 127.476 * * [simplify]: Extracting #3: cost 88 inf + 0 127.476 * * [simplify]: Extracting #4: cost 94 inf + 62 127.477 * * [simplify]: Extracting #5: cost 95 inf + 767 127.478 * * [simplify]: Extracting #6: cost 85 inf + 1337 127.480 * * [simplify]: Extracting #7: cost 58 inf + 11929 127.498 * * [simplify]: Extracting #8: cost 5 inf + 43564 127.520 * * [simplify]: Extracting #9: cost 0 inf + 46419 127.540 * [simplify]: Simplified to (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 127.541 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 127.541 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 127.542 * * [simplify]: iters left: 6 (21 enodes) 127.552 * * [simplify]: iters left: 5 (70 enodes) 127.573 * * [simplify]: iters left: 4 (87 enodes) 127.600 * * [simplify]: iters left: 3 (110 enodes) 127.630 * * [simplify]: iters left: 2 (129 enodes) 127.667 * * [simplify]: iters left: 1 (148 enodes) 127.692 * * [simplify]: Extracting #0: cost 1 inf + 0 127.692 * * [simplify]: Extracting #1: cost 22 inf + 0 127.692 * * [simplify]: Extracting #2: cost 45 inf + 0 127.693 * * [simplify]: Extracting #3: cost 57 inf + 0 127.693 * * [simplify]: Extracting #4: cost 64 inf + 62 127.693 * * [simplify]: Extracting #5: cost 59 inf + 1091 127.693 * * [simplify]: Extracting #6: cost 50 inf + 2643 127.694 * * [simplify]: Extracting #7: cost 34 inf + 7603 127.697 * * [simplify]: Extracting #8: cost 9 inf + 21163 127.701 * * [simplify]: Extracting #9: cost 0 inf + 26052 127.706 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))) 127.706 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))))) 127.706 * * * * [progress]: [ 309 / 2703 ] simplifiying candidate # 127.707 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 127.707 * * [simplify]: iters left: 6 (21 enodes) 127.713 * * [simplify]: iters left: 5 (72 enodes) 127.724 * * [simplify]: iters left: 4 (101 enodes) 127.743 * * [simplify]: iters left: 3 (162 enodes) 127.790 * * [simplify]: iters left: 2 (260 enodes) 127.878 * * [simplify]: iters left: 1 (368 enodes) 127.994 * * [simplify]: Extracting #0: cost 1 inf + 0 127.994 * * [simplify]: Extracting #1: cost 38 inf + 0 127.995 * * [simplify]: Extracting #2: cost 76 inf + 0 127.995 * * [simplify]: Extracting #3: cost 85 inf + 0 127.996 * * [simplify]: Extracting #4: cost 90 inf + 62 127.997 * * [simplify]: Extracting #5: cost 91 inf + 767 127.998 * * [simplify]: Extracting #6: cost 80 inf + 1498 128.001 * * [simplify]: Extracting #7: cost 54 inf + 11526 128.018 * * [simplify]: Extracting #8: cost 8 inf + 38442 128.038 * * [simplify]: Extracting #9: cost 0 inf + 43211 128.057 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cos th)))) 128.057 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 128.058 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 128.058 * * [simplify]: iters left: 6 (20 enodes) 128.064 * * [simplify]: iters left: 5 (67 enodes) 128.074 * * [simplify]: iters left: 4 (84 enodes) 128.087 * * [simplify]: iters left: 3 (107 enodes) 128.110 * * [simplify]: iters left: 2 (126 enodes) 128.132 * * [simplify]: iters left: 1 (145 enodes) 128.158 * * [simplify]: Extracting #0: cost 1 inf + 0 128.158 * * [simplify]: Extracting #1: cost 21 inf + 0 128.159 * * [simplify]: Extracting #2: cost 44 inf + 0 128.159 * * [simplify]: Extracting #3: cost 55 inf + 0 128.160 * * [simplify]: Extracting #4: cost 61 inf + 62 128.160 * * [simplify]: Extracting #5: cost 53 inf + 1635 128.161 * * [simplify]: Extracting #6: cost 47 inf + 2643 128.163 * * [simplify]: Extracting #7: cost 29 inf + 8308 128.169 * * [simplify]: Extracting #8: cost 3 inf + 22155 128.177 * * [simplify]: Extracting #9: cost 0 inf + 23584 128.184 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 128.185 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 128.185 * * * * [progress]: [ 310 / 2703 ] simplifiying candidate # 128.185 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 128.186 * * [simplify]: iters left: 6 (22 enodes) 128.198 * * [simplify]: iters left: 5 (77 enodes) 128.216 * * [simplify]: iters left: 4 (98 enodes) 128.233 * * [simplify]: iters left: 3 (140 enodes) 128.262 * * [simplify]: iters left: 2 (187 enodes) 128.334 * * [simplify]: iters left: 1 (260 enodes) 128.464 * * [simplify]: Extracting #0: cost 1 inf + 0 128.464 * * [simplify]: Extracting #1: cost 24 inf + 0 128.465 * * [simplify]: Extracting #2: cost 45 inf + 1 128.465 * * [simplify]: Extracting #3: cost 53 inf + 1 128.465 * * [simplify]: Extracting #4: cost 57 inf + 63 128.465 * * [simplify]: Extracting #5: cost 57 inf + 768 128.466 * * [simplify]: Extracting #6: cost 55 inf + 1254 128.466 * * [simplify]: Extracting #7: cost 42 inf + 4112 128.467 * * [simplify]: Extracting #8: cost 29 inf + 8222 128.471 * * [simplify]: Extracting #9: cost 6 inf + 20666 128.476 * * [simplify]: Extracting #10: cost 0 inf + 24531 128.482 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 128.482 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 128.482 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 128.483 * * [simplify]: iters left: 6 (19 enodes) 128.487 * * [simplify]: iters left: 5 (64 enodes) 128.499 * * [simplify]: iters left: 4 (81 enodes) 128.513 * * [simplify]: iters left: 3 (104 enodes) 128.542 * * [simplify]: iters left: 2 (123 enodes) 128.570 * * [simplify]: iters left: 1 (142 enodes) 128.591 * * [simplify]: Extracting #0: cost 1 inf + 0 128.591 * * [simplify]: Extracting #1: cost 21 inf + 0 128.591 * * [simplify]: Extracting #2: cost 44 inf + 0 128.591 * * [simplify]: Extracting #3: cost 56 inf + 0 128.591 * * [simplify]: Extracting #4: cost 62 inf + 123 128.592 * * [simplify]: Extracting #5: cost 50 inf + 1175 128.592 * * [simplify]: Extracting #6: cost 29 inf + 7504 128.597 * * [simplify]: Extracting #7: cost 4 inf + 20147 128.601 * * [simplify]: Extracting #8: cost 0 inf + 22380 128.604 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 128.604 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 128.605 * * * * [progress]: [ 311 / 2703 ] simplifiying candidate # 128.605 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 128.605 * * [simplify]: iters left: 6 (21 enodes) 128.614 * * [simplify]: iters left: 5 (72 enodes) 128.636 * * [simplify]: iters left: 4 (101 enodes) 128.668 * * [simplify]: iters left: 3 (162 enodes) 128.725 * * [simplify]: iters left: 2 (260 enodes) 128.831 * * [simplify]: iters left: 1 (368 enodes) 128.937 * * [simplify]: Extracting #0: cost 1 inf + 0 128.937 * * [simplify]: Extracting #1: cost 38 inf + 0 128.937 * * [simplify]: Extracting #2: cost 76 inf + 0 128.937 * * [simplify]: Extracting #3: cost 85 inf + 0 128.938 * * [simplify]: Extracting #4: cost 90 inf + 62 128.938 * * [simplify]: Extracting #5: cost 91 inf + 767 128.939 * * [simplify]: Extracting #6: cost 80 inf + 1498 128.940 * * [simplify]: Extracting #7: cost 54 inf + 11526 128.949 * * [simplify]: Extracting #8: cost 8 inf + 38442 128.965 * * [simplify]: Extracting #9: cost 0 inf + 43211 128.977 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cos th)))) 128.977 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 128.978 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 128.978 * * [simplify]: iters left: 6 (20 enodes) 128.983 * * [simplify]: iters left: 5 (67 enodes) 128.993 * * [simplify]: iters left: 4 (84 enodes) 129.009 * * [simplify]: iters left: 3 (107 enodes) 129.041 * * [simplify]: iters left: 2 (126 enodes) 129.063 * * [simplify]: iters left: 1 (145 enodes) 129.087 * * [simplify]: Extracting #0: cost 1 inf + 0 129.087 * * [simplify]: Extracting #1: cost 21 inf + 0 129.087 * * [simplify]: Extracting #2: cost 44 inf + 0 129.088 * * [simplify]: Extracting #3: cost 55 inf + 0 129.088 * * [simplify]: Extracting #4: cost 61 inf + 62 129.089 * * [simplify]: Extracting #5: cost 53 inf + 1635 129.089 * * [simplify]: Extracting #6: cost 47 inf + 2643 129.091 * * [simplify]: Extracting #7: cost 29 inf + 8308 129.097 * * [simplify]: Extracting #8: cost 3 inf + 22155 129.104 * * [simplify]: Extracting #9: cost 0 inf + 23584 129.112 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 129.112 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 129.113 * * * * [progress]: [ 312 / 2703 ] simplifiying candidate # 129.113 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 129.114 * * [simplify]: iters left: 6 (21 enodes) 129.124 * * [simplify]: iters left: 5 (72 enodes) 129.147 * * [simplify]: iters left: 4 (95 enodes) 129.178 * * [simplify]: iters left: 3 (139 enodes) 129.203 * * [simplify]: iters left: 2 (193 enodes) 129.243 * * [simplify]: iters left: 1 (255 enodes) 129.338 * * [simplify]: Extracting #0: cost 1 inf + 0 129.338 * * [simplify]: Extracting #1: cost 22 inf + 0 129.338 * * [simplify]: Extracting #2: cost 44 inf + 1 129.339 * * [simplify]: Extracting #3: cost 52 inf + 1 129.339 * * [simplify]: Extracting #4: cost 56 inf + 63 129.340 * * [simplify]: Extracting #5: cost 56 inf + 768 129.340 * * [simplify]: Extracting #6: cost 54 inf + 1374 129.342 * * [simplify]: Extracting #7: cost 39 inf + 4776 129.345 * * [simplify]: Extracting #8: cost 23 inf + 11000 129.354 * * [simplify]: Extracting #9: cost 5 inf + 21046 129.365 * * [simplify]: Extracting #10: cost 0 inf + 23905 129.376 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) 129.376 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 129.376 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 129.377 * * [simplify]: iters left: 6 (19 enodes) 129.386 * * [simplify]: iters left: 5 (64 enodes) 129.405 * * [simplify]: iters left: 4 (81 enodes) 129.430 * * [simplify]: iters left: 3 (104 enodes) 129.445 * * [simplify]: iters left: 2 (123 enodes) 129.464 * * [simplify]: iters left: 1 (142 enodes) 129.487 * * [simplify]: Extracting #0: cost 1 inf + 0 129.487 * * [simplify]: Extracting #1: cost 21 inf + 0 129.487 * * [simplify]: Extracting #2: cost 44 inf + 0 129.487 * * [simplify]: Extracting #3: cost 56 inf + 0 129.487 * * [simplify]: Extracting #4: cost 62 inf + 123 129.487 * * [simplify]: Extracting #5: cost 50 inf + 1175 129.488 * * [simplify]: Extracting #6: cost 29 inf + 7504 129.491 * * [simplify]: Extracting #7: cost 4 inf + 20147 129.495 * * [simplify]: Extracting #8: cost 0 inf + 22380 129.498 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 129.498 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 129.499 * * * * [progress]: [ 313 / 2703 ] simplifiying candidate # 129.499 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 129.499 * * [simplify]: iters left: 6 (25 enodes) 129.505 * * [simplify]: iters left: 5 (87 enodes) 129.519 * * [simplify]: iters left: 4 (124 enodes) 129.547 * * [simplify]: iters left: 3 (218 enodes) 129.606 * * [simplify]: iters left: 2 (444 enodes) 129.860 * * [simplify]: Extracting #0: cost 1 inf + 0 129.861 * * [simplify]: Extracting #1: cost 76 inf + 0 129.862 * * [simplify]: Extracting #2: cost 143 inf + 0 129.863 * * [simplify]: Extracting #3: cost 155 inf + 0 129.865 * * [simplify]: Extracting #4: cost 160 inf + 586 129.866 * * [simplify]: Extracting #5: cost 160 inf + 1091 129.868 * * [simplify]: Extracting #6: cost 144 inf + 3229 129.873 * * [simplify]: Extracting #7: cost 113 inf + 16874 129.891 * * [simplify]: Extracting #8: cost 27 inf + 77644 129.925 * * [simplify]: Extracting #9: cost 0 inf + 98708 129.972 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (fabs (cbrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 129.972 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (fabs (cbrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 129.973 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 129.973 * * [simplify]: iters left: 6 (22 enodes) 129.984 * * [simplify]: iters left: 5 (73 enodes) 130.006 * * [simplify]: iters left: 4 (90 enodes) 130.034 * * [simplify]: iters left: 3 (113 enodes) 130.066 * * [simplify]: iters left: 2 (132 enodes) 130.105 * * [simplify]: iters left: 1 (151 enodes) 130.138 * * [simplify]: Extracting #0: cost 1 inf + 0 130.138 * * [simplify]: Extracting #1: cost 22 inf + 0 130.138 * * [simplify]: Extracting #2: cost 45 inf + 0 130.138 * * [simplify]: Extracting #3: cost 57 inf + 0 130.139 * * [simplify]: Extracting #4: cost 64 inf + 123 130.139 * * [simplify]: Extracting #5: cost 61 inf + 931 130.139 * * [simplify]: Extracting #6: cost 54 inf + 1378 130.140 * * [simplify]: Extracting #7: cost 33 inf + 7505 130.143 * * [simplify]: Extracting #8: cost 8 inf + 22446 130.147 * * [simplify]: Extracting #9: cost 0 inf + 27132 130.154 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 130.155 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))))) 130.155 * * * * [progress]: [ 314 / 2703 ] simplifiying candidate # 130.155 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 130.156 * * [simplify]: iters left: 6 (26 enodes) 130.168 * * [simplify]: iters left: 5 (89 enodes) 130.196 * * [simplify]: iters left: 4 (118 enodes) 130.236 * * [simplify]: iters left: 3 (179 enodes) 130.293 * * [simplify]: iters left: 2 (277 enodes) 130.365 * * [simplify]: iters left: 1 (391 enodes) 130.500 * * [simplify]: Extracting #0: cost 1 inf + 0 130.500 * * [simplify]: Extracting #1: cost 38 inf + 0 130.501 * * [simplify]: Extracting #2: cost 77 inf + 0 130.501 * * [simplify]: Extracting #3: cost 91 inf + 0 130.502 * * [simplify]: Extracting #4: cost 101 inf + 62 130.503 * * [simplify]: Extracting #5: cost 97 inf + 1071 130.504 * * [simplify]: Extracting #6: cost 82 inf + 3409 130.508 * * [simplify]: Extracting #7: cost 51 inf + 16027 130.525 * * [simplify]: Extracting #8: cost 9 inf + 42733 130.549 * * [simplify]: Extracting #9: cost 0 inf + 48905 130.561 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2))))) 130.561 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 130.561 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 130.562 * * [simplify]: iters left: 6 (23 enodes) 130.567 * * [simplify]: iters left: 5 (76 enodes) 130.579 * * [simplify]: iters left: 4 (93 enodes) 130.594 * * [simplify]: iters left: 3 (116 enodes) 130.611 * * [simplify]: iters left: 2 (135 enodes) 130.637 * * [simplify]: iters left: 1 (154 enodes) 130.660 * * [simplify]: Extracting #0: cost 1 inf + 0 130.660 * * [simplify]: Extracting #1: cost 22 inf + 0 130.661 * * [simplify]: Extracting #2: cost 45 inf + 0 130.661 * * [simplify]: Extracting #3: cost 58 inf + 0 130.661 * * [simplify]: Extracting #4: cost 67 inf + 62 130.661 * * [simplify]: Extracting #5: cost 64 inf + 770 130.661 * * [simplify]: Extracting #6: cost 57 inf + 1217 130.662 * * [simplify]: Extracting #7: cost 35 inf + 8526 130.665 * * [simplify]: Extracting #8: cost 17 inf + 17661 130.669 * * [simplify]: Extracting #9: cost 1 inf + 27352 130.673 * * [simplify]: Extracting #10: cost 0 inf + 28016 130.678 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (cbrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) 130.678 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (cbrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 130.678 * * * * [progress]: [ 315 / 2703 ] simplifiying candidate # 130.678 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 130.678 * * [simplify]: iters left: 6 (24 enodes) 130.684 * * [simplify]: iters left: 5 (82 enodes) 130.697 * * [simplify]: iters left: 4 (111 enodes) 130.717 * * [simplify]: iters left: 3 (172 enodes) 130.761 * * [simplify]: iters left: 2 (270 enodes) 130.843 * * [simplify]: iters left: 1 (389 enodes) 130.971 * * [simplify]: Extracting #0: cost 1 inf + 0 130.971 * * [simplify]: Extracting #1: cost 38 inf + 0 130.972 * * [simplify]: Extracting #2: cost 76 inf + 0 130.972 * * [simplify]: Extracting #3: cost 88 inf + 0 130.973 * * [simplify]: Extracting #4: cost 97 inf + 62 130.974 * * [simplify]: Extracting #5: cost 93 inf + 1031 130.975 * * [simplify]: Extracting #6: cost 77 inf + 2949 130.979 * * [simplify]: Extracting #7: cost 45 inf + 16736 130.997 * * [simplify]: Extracting #8: cost 4 inf + 42801 131.019 * * [simplify]: Extracting #9: cost 0 inf + 45697 131.040 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (fabs (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) 131.040 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (fabs (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 131.041 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 131.041 * * [simplify]: iters left: 6 (22 enodes) 131.052 * * [simplify]: iters left: 5 (73 enodes) 131.074 * * [simplify]: iters left: 4 (90 enodes) 131.101 * * [simplify]: iters left: 3 (113 enodes) 131.129 * * [simplify]: iters left: 2 (132 enodes) 131.148 * * [simplify]: iters left: 1 (151 enodes) 131.191 * * [simplify]: Extracting #0: cost 1 inf + 0 131.191 * * [simplify]: Extracting #1: cost 22 inf + 0 131.191 * * [simplify]: Extracting #2: cost 45 inf + 0 131.192 * * [simplify]: Extracting #3: cost 57 inf + 0 131.192 * * [simplify]: Extracting #4: cost 64 inf + 123 131.192 * * [simplify]: Extracting #5: cost 61 inf + 931 131.193 * * [simplify]: Extracting #6: cost 54 inf + 1378 131.195 * * [simplify]: Extracting #7: cost 33 inf + 7505 131.200 * * [simplify]: Extracting #8: cost 8 inf + 21846 131.208 * * [simplify]: Extracting #9: cost 0 inf + 26252 131.217 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 131.217 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))))) 131.217 * * * * [progress]: [ 316 / 2703 ] simplifiying candidate # 131.218 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 131.218 * * [simplify]: iters left: 6 (25 enodes) 131.226 * * [simplify]: iters left: 5 (87 enodes) 131.240 * * [simplify]: iters left: 4 (108 enodes) 131.264 * * [simplify]: iters left: 3 (150 enodes) 131.290 * * [simplify]: iters left: 2 (197 enodes) 131.361 * * [simplify]: iters left: 1 (270 enodes) 131.498 * * [simplify]: Extracting #0: cost 1 inf + 0 131.498 * * [simplify]: Extracting #1: cost 25 inf + 0 131.499 * * [simplify]: Extracting #2: cost 46 inf + 1 131.499 * * [simplify]: Extracting #3: cost 57 inf + 1 131.500 * * [simplify]: Extracting #4: cost 65 inf + 63 131.500 * * [simplify]: Extracting #5: cost 57 inf + 1415 131.502 * * [simplify]: Extracting #6: cost 51 inf + 3789 131.504 * * [simplify]: Extracting #7: cost 40 inf + 6206 131.507 * * [simplify]: Extracting #8: cost 28 inf + 10917 131.516 * * [simplify]: Extracting #9: cost 7 inf + 22753 131.528 * * [simplify]: Extracting #10: cost 0 inf + 26761 131.539 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 131.540 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 131.540 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 131.540 * * [simplify]: iters left: 6 (21 enodes) 131.550 * * [simplify]: iters left: 5 (70 enodes) 131.574 * * [simplify]: iters left: 4 (87 enodes) 131.588 * * [simplify]: iters left: 3 (110 enodes) 131.607 * * [simplify]: iters left: 2 (129 enodes) 131.640 * * [simplify]: iters left: 1 (148 enodes) 131.661 * * [simplify]: Extracting #0: cost 1 inf + 0 131.661 * * [simplify]: Extracting #1: cost 22 inf + 0 131.662 * * [simplify]: Extracting #2: cost 45 inf + 0 131.662 * * [simplify]: Extracting #3: cost 58 inf + 0 131.662 * * [simplify]: Extracting #4: cost 67 inf + 62 131.662 * * [simplify]: Extracting #5: cost 56 inf + 1014 131.664 * * [simplify]: Extracting #6: cost 39 inf + 5110 131.669 * * [simplify]: Extracting #7: cost 8 inf + 21426 131.677 * * [simplify]: Extracting #8: cost 0 inf + 25048 131.684 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (cbrt 2))))) 131.684 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) (/ (* (cbrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (cbrt 2))))))) 131.685 * * * * [progress]: [ 317 / 2703 ] simplifiying candidate # 131.685 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 131.686 * * [simplify]: iters left: 6 (24 enodes) 131.697 * * [simplify]: iters left: 5 (82 enodes) 131.723 * * [simplify]: iters left: 4 (111 enodes) 131.761 * * [simplify]: iters left: 3 (172 enodes) 131.793 * * [simplify]: iters left: 2 (270 enodes) 131.872 * * [simplify]: iters left: 1 (389 enodes) 131.993 * * [simplify]: Extracting #0: cost 1 inf + 0 131.993 * * [simplify]: Extracting #1: cost 38 inf + 0 131.993 * * [simplify]: Extracting #2: cost 76 inf + 0 131.994 * * [simplify]: Extracting #3: cost 88 inf + 0 131.994 * * [simplify]: Extracting #4: cost 97 inf + 62 131.995 * * [simplify]: Extracting #5: cost 93 inf + 1031 131.996 * * [simplify]: Extracting #6: cost 77 inf + 2949 131.999 * * [simplify]: Extracting #7: cost 45 inf + 16736 132.017 * * [simplify]: Extracting #8: cost 4 inf + 42801 132.033 * * [simplify]: Extracting #9: cost 0 inf + 45697 132.051 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (fabs (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) 132.051 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (fabs (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 132.052 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 132.052 * * [simplify]: iters left: 6 (22 enodes) 132.062 * * [simplify]: iters left: 5 (73 enodes) 132.081 * * [simplify]: iters left: 4 (90 enodes) 132.104 * * [simplify]: iters left: 3 (113 enodes) 132.134 * * [simplify]: iters left: 2 (132 enodes) 132.171 * * [simplify]: iters left: 1 (151 enodes) 132.193 * * [simplify]: Extracting #0: cost 1 inf + 0 132.193 * * [simplify]: Extracting #1: cost 22 inf + 0 132.193 * * [simplify]: Extracting #2: cost 45 inf + 0 132.194 * * [simplify]: Extracting #3: cost 57 inf + 0 132.194 * * [simplify]: Extracting #4: cost 64 inf + 123 132.194 * * [simplify]: Extracting #5: cost 61 inf + 931 132.194 * * [simplify]: Extracting #6: cost 54 inf + 1378 132.195 * * [simplify]: Extracting #7: cost 33 inf + 7505 132.198 * * [simplify]: Extracting #8: cost 8 inf + 21846 132.202 * * [simplify]: Extracting #9: cost 0 inf + 26252 132.207 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 132.207 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))))) 132.207 * * * * [progress]: [ 318 / 2703 ] simplifiying candidate # 132.207 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 132.207 * * [simplify]: iters left: 6 (24 enodes) 132.214 * * [simplify]: iters left: 5 (82 enodes) 132.228 * * [simplify]: iters left: 4 (105 enodes) 132.251 * * [simplify]: iters left: 3 (149 enodes) 132.304 * * [simplify]: iters left: 2 (203 enodes) 132.350 * * [simplify]: iters left: 1 (265 enodes) 132.436 * * [simplify]: Extracting #0: cost 1 inf + 0 132.436 * * [simplify]: Extracting #1: cost 23 inf + 0 132.436 * * [simplify]: Extracting #2: cost 45 inf + 1 132.437 * * [simplify]: Extracting #3: cost 56 inf + 1 132.437 * * [simplify]: Extracting #4: cost 64 inf + 63 132.438 * * [simplify]: Extracting #5: cost 59 inf + 992 132.439 * * [simplify]: Extracting #6: cost 48 inf + 3891 132.441 * * [simplify]: Extracting #7: cost 38 inf + 5866 132.444 * * [simplify]: Extracting #8: cost 25 inf + 10844 132.454 * * [simplify]: Extracting #9: cost 5 inf + 22878 132.465 * * [simplify]: Extracting #10: cost 0 inf + 26137 132.473 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cos th))) 132.473 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 132.474 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 132.474 * * [simplify]: iters left: 6 (21 enodes) 132.479 * * [simplify]: iters left: 5 (70 enodes) 132.489 * * [simplify]: iters left: 4 (87 enodes) 132.506 * * [simplify]: iters left: 3 (110 enodes) 132.530 * * [simplify]: iters left: 2 (129 enodes) 132.550 * * [simplify]: iters left: 1 (148 enodes) 132.593 * * [simplify]: Extracting #0: cost 1 inf + 0 132.593 * * [simplify]: Extracting #1: cost 22 inf + 0 132.594 * * [simplify]: Extracting #2: cost 45 inf + 0 132.594 * * [simplify]: Extracting #3: cost 58 inf + 0 132.594 * * [simplify]: Extracting #4: cost 67 inf + 62 132.595 * * [simplify]: Extracting #5: cost 56 inf + 1014 132.596 * * [simplify]: Extracting #6: cost 39 inf + 5110 132.602 * * [simplify]: Extracting #7: cost 8 inf + 21426 132.610 * * [simplify]: Extracting #8: cost 0 inf + 25048 132.618 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (cbrt 2))))) 132.618 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) (/ (* (cbrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (cbrt 2))))))) 132.619 * * * * [progress]: [ 319 / 2703 ] simplifiying candidate # 132.619 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 132.619 * * [simplify]: iters left: 6 (23 enodes) 132.630 * * [simplify]: iters left: 5 (80 enodes) 132.647 * * [simplify]: iters left: 4 (117 enodes) 132.676 * * [simplify]: iters left: 3 (211 enodes) 132.746 * * [simplify]: iters left: 2 (437 enodes) 132.951 * * [simplify]: Extracting #0: cost 1 inf + 0 132.951 * * [simplify]: Extracting #1: cost 75 inf + 0 132.951 * * [simplify]: Extracting #2: cost 142 inf + 0 132.952 * * [simplify]: Extracting #3: cost 153 inf + 0 132.952 * * [simplify]: Extracting #4: cost 156 inf + 626 132.953 * * [simplify]: Extracting #5: cost 154 inf + 1212 132.954 * * [simplify]: Extracting #6: cost 143 inf + 2545 132.956 * * [simplify]: Extracting #7: cost 120 inf + 10360 132.970 * * [simplify]: Extracting #8: cost 56 inf + 50429 133.012 * * [simplify]: Extracting #9: cost 1 inf + 91256 133.057 * * [simplify]: Extracting #10: cost 0 inf + 91920 133.098 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (* (cbrt (sqrt (sqrt 2))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 133.098 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (* (cbrt (sqrt (sqrt 2))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 133.099 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 133.099 * * [simplify]: iters left: 6 (21 enodes) 133.106 * * [simplify]: iters left: 5 (70 enodes) 133.117 * * [simplify]: iters left: 4 (87 enodes) 133.130 * * [simplify]: iters left: 3 (110 enodes) 133.158 * * [simplify]: iters left: 2 (129 enodes) 133.189 * * [simplify]: iters left: 1 (148 enodes) 133.231 * * [simplify]: Extracting #0: cost 1 inf + 0 133.231 * * [simplify]: Extracting #1: cost 22 inf + 0 133.231 * * [simplify]: Extracting #2: cost 45 inf + 0 133.231 * * [simplify]: Extracting #3: cost 57 inf + 0 133.232 * * [simplify]: Extracting #4: cost 64 inf + 62 133.232 * * [simplify]: Extracting #5: cost 59 inf + 971 133.232 * * [simplify]: Extracting #6: cost 52 inf + 1418 133.233 * * [simplify]: Extracting #7: cost 34 inf + 7061 133.236 * * [simplify]: Extracting #8: cost 9 inf + 20641 133.240 * * [simplify]: Extracting #9: cost 0 inf + 25370 133.244 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 133.244 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 133.244 * * * * [progress]: [ 320 / 2703 ] simplifiying candidate # 133.244 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 133.244 * * [simplify]: iters left: 6 (24 enodes) 133.250 * * [simplify]: iters left: 5 (82 enodes) 133.263 * * [simplify]: iters left: 4 (111 enodes) 133.289 * * [simplify]: iters left: 3 (172 enodes) 133.325 * * [simplify]: iters left: 2 (270 enodes) 133.392 * * [simplify]: iters left: 1 (389 enodes) 133.508 * * [simplify]: Extracting #0: cost 1 inf + 0 133.508 * * [simplify]: Extracting #1: cost 38 inf + 0 133.508 * * [simplify]: Extracting #2: cost 77 inf + 0 133.509 * * [simplify]: Extracting #3: cost 90 inf + 0 133.509 * * [simplify]: Extracting #4: cost 98 inf + 62 133.509 * * [simplify]: Extracting #5: cost 93 inf + 1031 133.510 * * [simplify]: Extracting #6: cost 79 inf + 3269 133.512 * * [simplify]: Extracting #7: cost 44 inf + 17987 133.522 * * [simplify]: Extracting #8: cost 5 inf + 42101 133.535 * * [simplify]: Extracting #9: cost 0 inf + 45861 133.555 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (cos th)))))) 133.555 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (cos th)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 133.555 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 133.556 * * [simplify]: iters left: 6 (22 enodes) 133.566 * * [simplify]: iters left: 5 (73 enodes) 133.577 * * [simplify]: iters left: 4 (90 enodes) 133.591 * * [simplify]: iters left: 3 (113 enodes) 133.607 * * [simplify]: iters left: 2 (132 enodes) 133.638 * * [simplify]: iters left: 1 (151 enodes) 133.661 * * [simplify]: Extracting #0: cost 1 inf + 0 133.661 * * [simplify]: Extracting #1: cost 22 inf + 0 133.661 * * [simplify]: Extracting #2: cost 45 inf + 0 133.661 * * [simplify]: Extracting #3: cost 58 inf + 0 133.662 * * [simplify]: Extracting #4: cost 65 inf + 123 133.662 * * [simplify]: Extracting #5: cost 61 inf + 931 133.662 * * [simplify]: Extracting #6: cost 54 inf + 1418 133.663 * * [simplify]: Extracting #7: cost 34 inf + 7727 133.665 * * [simplify]: Extracting #8: cost 23 inf + 12901 133.668 * * [simplify]: Extracting #9: cost 7 inf + 22291 133.672 * * [simplify]: Extracting #10: cost 0 inf + 26254 133.680 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))) 133.680 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))))) 133.680 * * * * [progress]: [ 321 / 2703 ] simplifiying candidate # 133.681 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 133.681 * * [simplify]: iters left: 6 (22 enodes) 133.691 * * [simplify]: iters left: 5 (75 enodes) 133.715 * * [simplify]: iters left: 4 (104 enodes) 133.752 * * [simplify]: iters left: 3 (165 enodes) 133.807 * * [simplify]: iters left: 2 (263 enodes) 133.881 * * [simplify]: iters left: 1 (374 enodes) 133.973 * * [simplify]: Extracting #0: cost 1 inf + 0 133.973 * * [simplify]: Extracting #1: cost 38 inf + 0 133.974 * * [simplify]: Extracting #2: cost 76 inf + 0 133.974 * * [simplify]: Extracting #3: cost 87 inf + 0 133.974 * * [simplify]: Extracting #4: cost 94 inf + 62 133.975 * * [simplify]: Extracting #5: cost 92 inf + 608 133.975 * * [simplify]: Extracting #6: cost 77 inf + 2545 133.977 * * [simplify]: Extracting #7: cost 47 inf + 13984 133.986 * * [simplify]: Extracting #8: cost 3 inf + 40843 134.004 * * [simplify]: Extracting #9: cost 0 inf + 42653 134.021 * [simplify]: Simplified to (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) 134.021 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 134.021 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 134.021 * * [simplify]: iters left: 6 (21 enodes) 134.026 * * [simplify]: iters left: 5 (70 enodes) 134.037 * * [simplify]: iters left: 4 (87 enodes) 134.051 * * [simplify]: iters left: 3 (110 enodes) 134.067 * * [simplify]: iters left: 2 (129 enodes) 134.085 * * [simplify]: iters left: 1 (148 enodes) 134.109 * * [simplify]: Extracting #0: cost 1 inf + 0 134.109 * * [simplify]: Extracting #1: cost 22 inf + 0 134.109 * * [simplify]: Extracting #2: cost 45 inf + 0 134.109 * * [simplify]: Extracting #3: cost 57 inf + 0 134.110 * * [simplify]: Extracting #4: cost 64 inf + 62 134.110 * * [simplify]: Extracting #5: cost 59 inf + 971 134.110 * * [simplify]: Extracting #6: cost 52 inf + 1418 134.111 * * [simplify]: Extracting #7: cost 34 inf + 7061 134.114 * * [simplify]: Extracting #8: cost 9 inf + 20041 134.118 * * [simplify]: Extracting #9: cost 0 inf + 24490 134.122 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 134.122 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 134.123 * * * * [progress]: [ 322 / 2703 ] simplifiying candidate # 134.123 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 134.123 * * [simplify]: iters left: 6 (23 enodes) 134.130 * * [simplify]: iters left: 5 (80 enodes) 134.143 * * [simplify]: iters left: 4 (101 enodes) 134.161 * * [simplify]: iters left: 3 (143 enodes) 134.190 * * [simplify]: iters left: 2 (190 enodes) 134.228 * * [simplify]: iters left: 1 (263 enodes) 134.316 * * [simplify]: Extracting #0: cost 1 inf + 0 134.316 * * [simplify]: Extracting #1: cost 23 inf + 0 134.316 * * [simplify]: Extracting #2: cost 44 inf + 1 134.317 * * [simplify]: Extracting #3: cost 54 inf + 1 134.317 * * [simplify]: Extracting #4: cost 60 inf + 63 134.317 * * [simplify]: Extracting #5: cost 52 inf + 1294 134.318 * * [simplify]: Extracting #6: cost 43 inf + 4655 134.319 * * [simplify]: Extracting #7: cost 37 inf + 5283 134.320 * * [simplify]: Extracting #8: cost 26 inf + 8933 134.324 * * [simplify]: Extracting #9: cost 5 inf + 20268 134.331 * * [simplify]: Extracting #10: cost 0 inf + 23587 134.337 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) 134.337 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 134.337 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 134.337 * * [simplify]: iters left: 6 (20 enodes) 134.342 * * [simplify]: iters left: 5 (67 enodes) 134.358 * * [simplify]: iters left: 4 (84 enodes) 134.372 * * [simplify]: iters left: 3 (107 enodes) 134.387 * * [simplify]: iters left: 2 (126 enodes) 134.419 * * [simplify]: iters left: 1 (145 enodes) 134.441 * * [simplify]: Extracting #0: cost 1 inf + 0 134.441 * * [simplify]: Extracting #1: cost 21 inf + 0 134.441 * * [simplify]: Extracting #2: cost 44 inf + 0 134.441 * * [simplify]: Extracting #3: cost 57 inf + 0 134.442 * * [simplify]: Extracting #4: cost 65 inf + 62 134.442 * * [simplify]: Extracting #5: cost 50 inf + 1217 134.444 * * [simplify]: Extracting #6: cost 30 inf + 7465 134.449 * * [simplify]: Extracting #7: cost 4 inf + 20088 134.456 * * [simplify]: Extracting #8: cost 0 inf + 22542 134.463 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (* (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 134.463 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cos th)) (/ (* (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 134.464 * * * * [progress]: [ 323 / 2703 ] simplifiying candidate # 134.464 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 134.464 * * [simplify]: iters left: 6 (22 enodes) 134.475 * * [simplify]: iters left: 5 (75 enodes) 134.498 * * [simplify]: iters left: 4 (104 enodes) 134.532 * * [simplify]: iters left: 3 (165 enodes) 134.586 * * [simplify]: iters left: 2 (263 enodes) 134.646 * * [simplify]: iters left: 1 (374 enodes) 134.799 * * [simplify]: Extracting #0: cost 1 inf + 0 134.799 * * [simplify]: Extracting #1: cost 38 inf + 0 134.800 * * [simplify]: Extracting #2: cost 76 inf + 0 134.800 * * [simplify]: Extracting #3: cost 87 inf + 0 134.801 * * [simplify]: Extracting #4: cost 94 inf + 62 134.802 * * [simplify]: Extracting #5: cost 92 inf + 608 134.803 * * [simplify]: Extracting #6: cost 77 inf + 2545 134.807 * * [simplify]: Extracting #7: cost 47 inf + 13984 134.823 * * [simplify]: Extracting #8: cost 3 inf + 40843 134.842 * * [simplify]: Extracting #9: cost 0 inf + 42653 134.861 * [simplify]: Simplified to (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) 134.862 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 134.862 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 134.862 * * [simplify]: iters left: 6 (21 enodes) 134.872 * * [simplify]: iters left: 5 (70 enodes) 134.894 * * [simplify]: iters left: 4 (87 enodes) 134.923 * * [simplify]: iters left: 3 (110 enodes) 134.953 * * [simplify]: iters left: 2 (129 enodes) 134.988 * * [simplify]: iters left: 1 (148 enodes) 135.030 * * [simplify]: Extracting #0: cost 1 inf + 0 135.030 * * [simplify]: Extracting #1: cost 22 inf + 0 135.031 * * [simplify]: Extracting #2: cost 45 inf + 0 135.031 * * [simplify]: Extracting #3: cost 57 inf + 0 135.031 * * [simplify]: Extracting #4: cost 64 inf + 62 135.032 * * [simplify]: Extracting #5: cost 59 inf + 971 135.032 * * [simplify]: Extracting #6: cost 52 inf + 1418 135.034 * * [simplify]: Extracting #7: cost 34 inf + 7061 135.039 * * [simplify]: Extracting #8: cost 9 inf + 20041 135.049 * * [simplify]: Extracting #9: cost 0 inf + 24490 135.057 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 135.058 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 135.058 * * * * [progress]: [ 324 / 2703 ] simplifiying candidate # 135.058 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 135.059 * * [simplify]: iters left: 6 (22 enodes) 135.070 * * [simplify]: iters left: 5 (75 enodes) 135.088 * * [simplify]: iters left: 4 (98 enodes) 135.104 * * [simplify]: iters left: 3 (142 enodes) 135.146 * * [simplify]: iters left: 2 (196 enodes) 135.200 * * [simplify]: iters left: 1 (258 enodes) 135.297 * * [simplify]: Extracting #0: cost 1 inf + 0 135.297 * * [simplify]: Extracting #1: cost 22 inf + 0 135.297 * * [simplify]: Extracting #2: cost 44 inf + 1 135.298 * * [simplify]: Extracting #3: cost 54 inf + 1 135.298 * * [simplify]: Extracting #4: cost 60 inf + 63 135.299 * * [simplify]: Extracting #5: cost 51 inf + 1335 135.300 * * [simplify]: Extracting #6: cost 44 inf + 4133 135.302 * * [simplify]: Extracting #7: cost 36 inf + 5324 135.304 * * [simplify]: Extracting #8: cost 25 inf + 8332 135.312 * * [simplify]: Extracting #9: cost 3 inf + 21615 135.323 * * [simplify]: Extracting #10: cost 0 inf + 23587 135.334 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) 135.335 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 135.335 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 135.335 * * [simplify]: iters left: 6 (20 enodes) 135.345 * * [simplify]: iters left: 5 (67 enodes) 135.365 * * [simplify]: iters left: 4 (84 enodes) 135.393 * * [simplify]: iters left: 3 (107 enodes) 135.411 * * [simplify]: iters left: 2 (126 enodes) 135.431 * * [simplify]: iters left: 1 (145 enodes) 135.472 * * [simplify]: Extracting #0: cost 1 inf + 0 135.472 * * [simplify]: Extracting #1: cost 21 inf + 0 135.472 * * [simplify]: Extracting #2: cost 44 inf + 0 135.472 * * [simplify]: Extracting #3: cost 57 inf + 0 135.473 * * [simplify]: Extracting #4: cost 65 inf + 62 135.473 * * [simplify]: Extracting #5: cost 50 inf + 1217 135.475 * * [simplify]: Extracting #6: cost 30 inf + 7465 135.481 * * [simplify]: Extracting #7: cost 4 inf + 20088 135.488 * * [simplify]: Extracting #8: cost 0 inf + 22542 135.496 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (* (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 135.496 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (cbrt (cos th)) (/ (* (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 135.496 * * * * [progress]: [ 325 / 2703 ] simplifiying candidate # 135.497 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 135.497 * * [simplify]: iters left: 6 (24 enodes) 135.512 * * [simplify]: iters left: 5 (85 enodes) 135.541 * * [simplify]: iters left: 4 (124 enodes) 135.567 * * [simplify]: iters left: 3 (210 enodes) 135.627 * * [simplify]: iters left: 2 (418 enodes) 135.812 * * [simplify]: Extracting #0: cost 1 inf + 0 135.812 * * [simplify]: Extracting #1: cost 73 inf + 0 135.814 * * [simplify]: Extracting #2: cost 186 inf + 1 135.815 * * [simplify]: Extracting #3: cost 197 inf + 1 135.817 * * [simplify]: Extracting #4: cost 201 inf + 265 135.819 * * [simplify]: Extracting #5: cost 198 inf + 1861 135.821 * * [simplify]: Extracting #6: cost 184 inf + 3459 135.823 * * [simplify]: Extracting #7: cost 180 inf + 3824 135.827 * * [simplify]: Extracting #8: cost 162 inf + 10516 135.845 * * [simplify]: Extracting #9: cost 61 inf + 64004 135.866 * * [simplify]: Extracting #10: cost 1 inf + 98912 135.902 * * [simplify]: Extracting #11: cost 0 inf + 99415 135.924 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 135.924 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 135.924 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 135.925 * * [simplify]: iters left: 6 (19 enodes) 135.932 * * [simplify]: iters left: 5 (64 enodes) 135.951 * * [simplify]: iters left: 4 (81 enodes) 135.978 * * [simplify]: iters left: 3 (104 enodes) 136.000 * * [simplify]: iters left: 2 (123 enodes) 136.017 * * [simplify]: iters left: 1 (142 enodes) 136.049 * * [simplify]: Extracting #0: cost 1 inf + 0 136.050 * * [simplify]: Extracting #1: cost 21 inf + 0 136.050 * * [simplify]: Extracting #2: cost 44 inf + 0 136.050 * * [simplify]: Extracting #3: cost 55 inf + 0 136.050 * * [simplify]: Extracting #4: cost 53 inf + 488 136.050 * * [simplify]: Extracting #5: cost 50 inf + 1958 136.051 * * [simplify]: Extracting #6: cost 46 inf + 2303 136.051 * * [simplify]: Extracting #7: cost 33 inf + 5693 136.054 * * [simplify]: Extracting #8: cost 6 inf + 19162 136.058 * * [simplify]: Extracting #9: cost 0 inf + 22302 136.062 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 136.062 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 136.062 * * * * [progress]: [ 326 / 2703 ] simplifiying candidate # 136.062 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 136.062 * * [simplify]: iters left: 6 (25 enodes) 136.069 * * [simplify]: iters left: 5 (87 enodes) 136.085 * * [simplify]: iters left: 4 (118 enodes) 136.106 * * [simplify]: iters left: 3 (174 enodes) 136.140 * * [simplify]: iters left: 2 (270 enodes) 136.253 * * [simplify]: Extracting #0: cost 1 inf + 0 136.253 * * [simplify]: Extracting #1: cost 39 inf + 0 136.253 * * [simplify]: Extracting #2: cost 101 inf + 1 136.254 * * [simplify]: Extracting #3: cost 116 inf + 1 136.255 * * [simplify]: Extracting #4: cost 115 inf + 1436 136.256 * * [simplify]: Extracting #5: cost 109 inf + 3574 136.258 * * [simplify]: Extracting #6: cost 100 inf + 4164 136.260 * * [simplify]: Extracting #7: cost 88 inf + 6566 136.264 * * [simplify]: Extracting #8: cost 60 inf + 17147 136.273 * * [simplify]: Extracting #9: cost 29 inf + 33703 136.293 * * [simplify]: Extracting #10: cost 4 inf + 50265 136.312 * * [simplify]: Extracting #11: cost 0 inf + 52763 136.330 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 136.330 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 136.331 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 136.331 * * [simplify]: iters left: 6 (20 enodes) 136.341 * * [simplify]: iters left: 5 (67 enodes) 136.360 * * [simplify]: iters left: 4 (84 enodes) 136.380 * * [simplify]: iters left: 3 (107 enodes) 136.396 * * [simplify]: iters left: 2 (126 enodes) 136.415 * * [simplify]: iters left: 1 (145 enodes) 136.453 * * [simplify]: Extracting #0: cost 1 inf + 0 136.453 * * [simplify]: Extracting #1: cost 21 inf + 0 136.453 * * [simplify]: Extracting #2: cost 44 inf + 0 136.453 * * [simplify]: Extracting #3: cost 56 inf + 0 136.454 * * [simplify]: Extracting #4: cost 56 inf + 507 136.454 * * [simplify]: Extracting #5: cost 53 inf + 1656 136.455 * * [simplify]: Extracting #6: cost 48 inf + 2303 136.457 * * [simplify]: Extracting #7: cost 29 inf + 8615 136.460 * * [simplify]: Extracting #8: cost 20 inf + 12201 136.467 * * [simplify]: Extracting #9: cost 2 inf + 22360 136.475 * * [simplify]: Extracting #10: cost 0 inf + 23186 136.482 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) 136.482 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))))) 136.483 * * * * [progress]: [ 327 / 2703 ] simplifiying candidate # 136.483 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 136.483 * * [simplify]: iters left: 6 (23 enodes) 136.495 * * [simplify]: iters left: 5 (80 enodes) 136.521 * * [simplify]: iters left: 4 (111 enodes) 136.553 * * [simplify]: iters left: 3 (167 enodes) 136.587 * * [simplify]: iters left: 2 (262 enodes) 136.678 * * [simplify]: iters left: 1 (457 enodes) 136.848 * * [simplify]: Extracting #0: cost 1 inf + 0 136.848 * * [simplify]: Extracting #1: cost 22 inf + 0 136.849 * * [simplify]: Extracting #2: cost 43 inf + 1 136.849 * * [simplify]: Extracting #3: cost 52 inf + 1 136.849 * * [simplify]: Extracting #4: cost 57 inf + 204 136.850 * * [simplify]: Extracting #5: cost 54 inf + 1838 136.851 * * [simplify]: Extracting #6: cost 46 inf + 2326 136.853 * * [simplify]: Extracting #7: cost 33 inf + 5635 136.856 * * [simplify]: Extracting #8: cost 10 inf + 16693 136.861 * * [simplify]: Extracting #9: cost 4 inf + 19353 136.867 * * [simplify]: Extracting #10: cost 0 inf + 20886 136.872 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (cos th))))) 136.872 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 136.873 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 136.873 * * [simplify]: iters left: 6 (19 enodes) 136.877 * * [simplify]: iters left: 5 (64 enodes) 136.892 * * [simplify]: iters left: 4 (81 enodes) 136.917 * * [simplify]: iters left: 3 (104 enodes) 136.949 * * [simplify]: iters left: 2 (123 enodes) 136.974 * * [simplify]: iters left: 1 (142 enodes) 136.994 * * [simplify]: Extracting #0: cost 1 inf + 0 136.994 * * [simplify]: Extracting #1: cost 21 inf + 0 136.994 * * [simplify]: Extracting #2: cost 44 inf + 0 136.994 * * [simplify]: Extracting #3: cost 55 inf + 0 136.994 * * [simplify]: Extracting #4: cost 53 inf + 488 136.995 * * [simplify]: Extracting #5: cost 50 inf + 1958 136.995 * * [simplify]: Extracting #6: cost 46 inf + 2303 136.996 * * [simplify]: Extracting #7: cost 33 inf + 5613 136.998 * * [simplify]: Extracting #8: cost 6 inf + 18442 137.004 * * [simplify]: Extracting #9: cost 0 inf + 21422 137.008 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 137.008 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 137.008 * * * * [progress]: [ 328 / 2703 ] simplifiying candidate # 137.008 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt 1))) 137.008 * * [simplify]: iters left: 6 (22 enodes) 137.014 * * [simplify]: iters left: 5 (77 enodes) 137.029 * * [simplify]: iters left: 4 (98 enodes) 137.059 * * [simplify]: iters left: 3 (121 enodes) 137.082 * * [simplify]: iters left: 2 (174 enodes) 137.124 * * [simplify]: iters left: 1 (213 enodes) 137.184 * * [simplify]: Extracting #0: cost 1 inf + 0 137.184 * * [simplify]: Extracting #1: cost 12 inf + 0 137.184 * * [simplify]: Extracting #2: cost 22 inf + 1 137.184 * * [simplify]: Extracting #3: cost 30 inf + 1 137.184 * * [simplify]: Extracting #4: cost 34 inf + 124 137.184 * * [simplify]: Extracting #5: cost 33 inf + 1213 137.185 * * [simplify]: Extracting #6: cost 32 inf + 1659 137.185 * * [simplify]: Extracting #7: cost 26 inf + 2105 137.186 * * [simplify]: Extracting #8: cost 11 inf + 6382 137.189 * * [simplify]: Extracting #9: cost 0 inf + 11501 137.191 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 137.191 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 137.192 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 137.192 * * [simplify]: iters left: 6 (18 enodes) 137.196 * * [simplify]: iters left: 5 (61 enodes) 137.206 * * [simplify]: iters left: 4 (77 enodes) 137.218 * * [simplify]: iters left: 3 (98 enodes) 137.246 * * [simplify]: iters left: 2 (116 enodes) 137.262 * * [simplify]: iters left: 1 (133 enodes) 137.285 * * [simplify]: Extracting #0: cost 1 inf + 0 137.285 * * [simplify]: Extracting #1: cost 22 inf + 0 137.285 * * [simplify]: Extracting #2: cost 45 inf + 0 137.285 * * [simplify]: Extracting #3: cost 55 inf + 0 137.286 * * [simplify]: Extracting #4: cost 53 inf + 427 137.286 * * [simplify]: Extracting #5: cost 42 inf + 1740 137.288 * * [simplify]: Extracting #6: cost 24 inf + 7990 137.294 * * [simplify]: Extracting #7: cost 5 inf + 17074 137.301 * * [simplify]: Extracting #8: cost 0 inf + 19550 137.307 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 137.307 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 137.307 * * * * [progress]: [ 329 / 2703 ] simplifiying candidate # 137.307 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 137.307 * * [simplify]: iters left: 6 (23 enodes) 137.313 * * [simplify]: iters left: 5 (80 enodes) 137.328 * * [simplify]: iters left: 4 (111 enodes) 137.348 * * [simplify]: iters left: 3 (167 enodes) 137.399 * * [simplify]: iters left: 2 (262 enodes) 137.476 * * [simplify]: iters left: 1 (457 enodes) 137.610 * * [simplify]: Extracting #0: cost 1 inf + 0 137.610 * * [simplify]: Extracting #1: cost 22 inf + 0 137.610 * * [simplify]: Extracting #2: cost 43 inf + 1 137.611 * * [simplify]: Extracting #3: cost 52 inf + 1 137.611 * * [simplify]: Extracting #4: cost 57 inf + 204 137.611 * * [simplify]: Extracting #5: cost 54 inf + 1838 137.612 * * [simplify]: Extracting #6: cost 46 inf + 2326 137.613 * * [simplify]: Extracting #7: cost 33 inf + 5635 137.616 * * [simplify]: Extracting #8: cost 10 inf + 16693 137.621 * * [simplify]: Extracting #9: cost 4 inf + 19353 137.626 * * [simplify]: Extracting #10: cost 0 inf + 20886 137.632 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (cos th))))) 137.632 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 137.633 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 137.633 * * [simplify]: iters left: 6 (19 enodes) 137.637 * * [simplify]: iters left: 5 (64 enodes) 137.647 * * [simplify]: iters left: 4 (81 enodes) 137.665 * * [simplify]: iters left: 3 (104 enodes) 137.686 * * [simplify]: iters left: 2 (123 enodes) 137.703 * * [simplify]: iters left: 1 (142 enodes) 137.723 * * [simplify]: Extracting #0: cost 1 inf + 0 137.723 * * [simplify]: Extracting #1: cost 21 inf + 0 137.723 * * [simplify]: Extracting #2: cost 44 inf + 0 137.723 * * [simplify]: Extracting #3: cost 55 inf + 0 137.723 * * [simplify]: Extracting #4: cost 53 inf + 488 137.724 * * [simplify]: Extracting #5: cost 50 inf + 1958 137.724 * * [simplify]: Extracting #6: cost 46 inf + 2303 137.725 * * [simplify]: Extracting #7: cost 33 inf + 5613 137.729 * * [simplify]: Extracting #8: cost 6 inf + 18442 137.736 * * [simplify]: Extracting #9: cost 0 inf + 21422 137.744 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 137.744 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 137.744 * * * * [progress]: [ 330 / 2703 ] simplifiying candidate # 137.745 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) 1)) 137.745 * * [simplify]: iters left: 6 (22 enodes) 137.763 * * [simplify]: iters left: 5 (75 enodes) 137.776 * * [simplify]: iters left: 4 (89 enodes) 137.790 * * [simplify]: iters left: 3 (112 enodes) 137.826 * * [simplify]: iters left: 2 (142 enodes) 137.884 * * [simplify]: iters left: 1 (183 enodes) 137.942 * * [simplify]: Extracting #0: cost 1 inf + 0 137.942 * * [simplify]: Extracting #1: cost 12 inf + 0 137.943 * * [simplify]: Extracting #2: cost 22 inf + 1 137.943 * * [simplify]: Extracting #3: cost 30 inf + 1 137.943 * * [simplify]: Extracting #4: cost 35 inf + 63 137.943 * * [simplify]: Extracting #5: cost 32 inf + 1354 137.944 * * [simplify]: Extracting #6: cost 33 inf + 1618 137.944 * * [simplify]: Extracting #7: cost 25 inf + 2066 137.945 * * [simplify]: Extracting #8: cost 12 inf + 5878 137.948 * * [simplify]: Extracting #9: cost 1 inf + 11178 137.951 * * [simplify]: Extracting #10: cost 0 inf + 11501 137.955 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 137.955 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 137.955 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 137.955 * * [simplify]: iters left: 6 (18 enodes) 137.960 * * [simplify]: iters left: 5 (61 enodes) 137.970 * * [simplify]: iters left: 4 (77 enodes) 137.983 * * [simplify]: iters left: 3 (98 enodes) 137.998 * * [simplify]: iters left: 2 (116 enodes) 138.015 * * [simplify]: iters left: 1 (133 enodes) 138.038 * * [simplify]: Extracting #0: cost 1 inf + 0 138.038 * * [simplify]: Extracting #1: cost 22 inf + 0 138.038 * * [simplify]: Extracting #2: cost 45 inf + 0 138.038 * * [simplify]: Extracting #3: cost 55 inf + 0 138.039 * * [simplify]: Extracting #4: cost 53 inf + 427 138.039 * * [simplify]: Extracting #5: cost 42 inf + 1740 138.041 * * [simplify]: Extracting #6: cost 24 inf + 7990 138.046 * * [simplify]: Extracting #7: cost 5 inf + 17074 138.053 * * [simplify]: Extracting #8: cost 0 inf + 19550 138.060 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 138.060 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 138.061 * * * * [progress]: [ 331 / 2703 ] simplifiying candidate # 138.061 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 138.061 * * [simplify]: iters left: 6 (23 enodes) 138.069 * * [simplify]: iters left: 5 (80 enodes) 138.081 * * [simplify]: iters left: 4 (117 enodes) 138.108 * * [simplify]: iters left: 3 (211 enodes) 138.170 * * [simplify]: iters left: 2 (437 enodes) 138.367 * * [simplify]: Extracting #0: cost 1 inf + 0 138.367 * * [simplify]: Extracting #1: cost 75 inf + 0 138.368 * * [simplify]: Extracting #2: cost 142 inf + 0 138.368 * * [simplify]: Extracting #3: cost 153 inf + 0 138.369 * * [simplify]: Extracting #4: cost 156 inf + 626 138.370 * * [simplify]: Extracting #5: cost 154 inf + 1212 138.371 * * [simplify]: Extracting #6: cost 143 inf + 2545 138.372 * * [simplify]: Extracting #7: cost 120 inf + 10360 138.383 * * [simplify]: Extracting #8: cost 56 inf + 50429 138.410 * * [simplify]: Extracting #9: cost 1 inf + 91256 138.433 * * [simplify]: Extracting #10: cost 0 inf + 91920 138.475 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (* (cbrt (sqrt (sqrt 2))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 138.475 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (* (cbrt (sqrt (sqrt 2))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 138.475 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 138.475 * * [simplify]: iters left: 6 (21 enodes) 138.480 * * [simplify]: iters left: 5 (70 enodes) 138.491 * * [simplify]: iters left: 4 (87 enodes) 138.505 * * [simplify]: iters left: 3 (110 enodes) 138.534 * * [simplify]: iters left: 2 (129 enodes) 138.569 * * [simplify]: iters left: 1 (148 enodes) 138.611 * * [simplify]: Extracting #0: cost 1 inf + 0 138.611 * * [simplify]: Extracting #1: cost 22 inf + 0 138.611 * * [simplify]: Extracting #2: cost 45 inf + 0 138.612 * * [simplify]: Extracting #3: cost 57 inf + 0 138.612 * * [simplify]: Extracting #4: cost 64 inf + 62 138.613 * * [simplify]: Extracting #5: cost 59 inf + 971 138.613 * * [simplify]: Extracting #6: cost 52 inf + 1418 138.615 * * [simplify]: Extracting #7: cost 34 inf + 7061 138.620 * * [simplify]: Extracting #8: cost 9 inf + 20641 138.628 * * [simplify]: Extracting #9: cost 0 inf + 25370 138.637 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 138.637 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 138.637 * * * * [progress]: [ 332 / 2703 ] simplifiying candidate # 138.638 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 138.638 * * [simplify]: iters left: 6 (24 enodes) 138.650 * * [simplify]: iters left: 5 (82 enodes) 138.667 * * [simplify]: iters left: 4 (111 enodes) 138.685 * * [simplify]: iters left: 3 (172 enodes) 138.729 * * [simplify]: iters left: 2 (270 enodes) 138.789 * * [simplify]: iters left: 1 (389 enodes) 138.883 * * [simplify]: Extracting #0: cost 1 inf + 0 138.883 * * [simplify]: Extracting #1: cost 38 inf + 0 138.884 * * [simplify]: Extracting #2: cost 77 inf + 0 138.884 * * [simplify]: Extracting #3: cost 90 inf + 0 138.885 * * [simplify]: Extracting #4: cost 98 inf + 62 138.886 * * [simplify]: Extracting #5: cost 93 inf + 1031 138.887 * * [simplify]: Extracting #6: cost 79 inf + 3269 138.891 * * [simplify]: Extracting #7: cost 44 inf + 17987 138.901 * * [simplify]: Extracting #8: cost 5 inf + 42101 138.911 * * [simplify]: Extracting #9: cost 0 inf + 45861 138.922 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (cos th)))))) 138.922 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (cos th)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 138.923 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 138.923 * * [simplify]: iters left: 6 (22 enodes) 138.928 * * [simplify]: iters left: 5 (73 enodes) 138.950 * * [simplify]: iters left: 4 (90 enodes) 138.978 * * [simplify]: iters left: 3 (113 enodes) 138.994 * * [simplify]: iters left: 2 (132 enodes) 139.012 * * [simplify]: iters left: 1 (151 enodes) 139.037 * * [simplify]: Extracting #0: cost 1 inf + 0 139.037 * * [simplify]: Extracting #1: cost 22 inf + 0 139.037 * * [simplify]: Extracting #2: cost 45 inf + 0 139.037 * * [simplify]: Extracting #3: cost 58 inf + 0 139.038 * * [simplify]: Extracting #4: cost 65 inf + 123 139.038 * * [simplify]: Extracting #5: cost 61 inf + 931 139.039 * * [simplify]: Extracting #6: cost 54 inf + 1418 139.040 * * [simplify]: Extracting #7: cost 34 inf + 7727 139.044 * * [simplify]: Extracting #8: cost 23 inf + 12901 139.048 * * [simplify]: Extracting #9: cost 7 inf + 22291 139.052 * * [simplify]: Extracting #10: cost 0 inf + 26254 139.056 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))) 139.056 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))))) 139.056 * * * * [progress]: [ 333 / 2703 ] simplifiying candidate # 139.057 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 139.057 * * [simplify]: iters left: 6 (22 enodes) 139.063 * * [simplify]: iters left: 5 (75 enodes) 139.074 * * [simplify]: iters left: 4 (104 enodes) 139.106 * * [simplify]: iters left: 3 (165 enodes) 139.148 * * [simplify]: iters left: 2 (263 enodes) 139.243 * * [simplify]: iters left: 1 (374 enodes) 139.340 * * [simplify]: Extracting #0: cost 1 inf + 0 139.341 * * [simplify]: Extracting #1: cost 38 inf + 0 139.341 * * [simplify]: Extracting #2: cost 76 inf + 0 139.341 * * [simplify]: Extracting #3: cost 87 inf + 0 139.342 * * [simplify]: Extracting #4: cost 94 inf + 62 139.342 * * [simplify]: Extracting #5: cost 92 inf + 608 139.343 * * [simplify]: Extracting #6: cost 77 inf + 2545 139.345 * * [simplify]: Extracting #7: cost 47 inf + 13984 139.359 * * [simplify]: Extracting #8: cost 3 inf + 40843 139.378 * * [simplify]: Extracting #9: cost 0 inf + 42653 139.398 * [simplify]: Simplified to (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) 139.398 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 139.398 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 139.398 * * [simplify]: iters left: 6 (21 enodes) 139.403 * * [simplify]: iters left: 5 (70 enodes) 139.414 * * [simplify]: iters left: 4 (87 enodes) 139.430 * * [simplify]: iters left: 3 (110 enodes) 139.461 * * [simplify]: iters left: 2 (129 enodes) 139.492 * * [simplify]: iters left: 1 (148 enodes) 139.514 * * [simplify]: Extracting #0: cost 1 inf + 0 139.514 * * [simplify]: Extracting #1: cost 22 inf + 0 139.514 * * [simplify]: Extracting #2: cost 45 inf + 0 139.514 * * [simplify]: Extracting #3: cost 57 inf + 0 139.515 * * [simplify]: Extracting #4: cost 64 inf + 62 139.515 * * [simplify]: Extracting #5: cost 59 inf + 971 139.515 * * [simplify]: Extracting #6: cost 52 inf + 1418 139.516 * * [simplify]: Extracting #7: cost 34 inf + 7061 139.520 * * [simplify]: Extracting #8: cost 9 inf + 20041 139.527 * * [simplify]: Extracting #9: cost 0 inf + 24490 139.535 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 139.535 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 139.535 * * * * [progress]: [ 334 / 2703 ] simplifiying candidate # 139.536 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 139.536 * * [simplify]: iters left: 6 (23 enodes) 139.549 * * [simplify]: iters left: 5 (80 enodes) 139.574 * * [simplify]: iters left: 4 (101 enodes) 139.595 * * [simplify]: iters left: 3 (143 enodes) 139.628 * * [simplify]: iters left: 2 (190 enodes) 139.691 * * [simplify]: iters left: 1 (263 enodes) 139.789 * * [simplify]: Extracting #0: cost 1 inf + 0 139.789 * * [simplify]: Extracting #1: cost 23 inf + 0 139.789 * * [simplify]: Extracting #2: cost 44 inf + 1 139.789 * * [simplify]: Extracting #3: cost 54 inf + 1 139.790 * * [simplify]: Extracting #4: cost 60 inf + 63 139.790 * * [simplify]: Extracting #5: cost 52 inf + 1294 139.791 * * [simplify]: Extracting #6: cost 43 inf + 4655 139.792 * * [simplify]: Extracting #7: cost 37 inf + 5283 139.793 * * [simplify]: Extracting #8: cost 26 inf + 8933 139.798 * * [simplify]: Extracting #9: cost 5 inf + 20268 139.808 * * [simplify]: Extracting #10: cost 0 inf + 23587 139.819 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) 139.819 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 139.819 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 139.820 * * [simplify]: iters left: 6 (20 enodes) 139.829 * * [simplify]: iters left: 5 (67 enodes) 139.849 * * [simplify]: iters left: 4 (84 enodes) 139.875 * * [simplify]: iters left: 3 (107 enodes) 140.345 * * [simplify]: iters left: 2 (126 enodes) 140.368 * * [simplify]: iters left: 1 (145 enodes) 140.403 * * [simplify]: Extracting #0: cost 1 inf + 0 140.403 * * [simplify]: Extracting #1: cost 21 inf + 0 140.404 * * [simplify]: Extracting #2: cost 44 inf + 0 140.404 * * [simplify]: Extracting #3: cost 57 inf + 0 140.404 * * [simplify]: Extracting #4: cost 65 inf + 62 140.404 * * [simplify]: Extracting #5: cost 50 inf + 1217 140.405 * * [simplify]: Extracting #6: cost 30 inf + 7465 140.408 * * [simplify]: Extracting #7: cost 4 inf + 20088 140.412 * * [simplify]: Extracting #8: cost 0 inf + 22542 140.416 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (* (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 140.416 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cos th)) (/ (* (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 140.416 * * * * [progress]: [ 335 / 2703 ] simplifiying candidate # 140.417 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 140.417 * * [simplify]: iters left: 6 (22 enodes) 140.422 * * [simplify]: iters left: 5 (75 enodes) 140.442 * * [simplify]: iters left: 4 (104 enodes) 140.462 * * [simplify]: iters left: 3 (165 enodes) 140.508 * * [simplify]: iters left: 2 (263 enodes) 140.563 * * [simplify]: iters left: 1 (374 enodes) 140.658 * * [simplify]: Extracting #0: cost 1 inf + 0 140.658 * * [simplify]: Extracting #1: cost 38 inf + 0 140.658 * * [simplify]: Extracting #2: cost 76 inf + 0 140.659 * * [simplify]: Extracting #3: cost 87 inf + 0 140.659 * * [simplify]: Extracting #4: cost 94 inf + 62 140.659 * * [simplify]: Extracting #5: cost 92 inf + 608 140.660 * * [simplify]: Extracting #6: cost 77 inf + 2545 140.662 * * [simplify]: Extracting #7: cost 47 inf + 13984 140.670 * * [simplify]: Extracting #8: cost 3 inf + 40843 140.684 * * [simplify]: Extracting #9: cost 0 inf + 42653 140.703 * [simplify]: Simplified to (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) 140.703 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 140.703 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 140.704 * * [simplify]: iters left: 6 (21 enodes) 140.713 * * [simplify]: iters left: 5 (70 enodes) 140.736 * * [simplify]: iters left: 4 (87 enodes) 140.761 * * [simplify]: iters left: 3 (110 enodes) 140.777 * * [simplify]: iters left: 2 (129 enodes) 140.795 * * [simplify]: iters left: 1 (148 enodes) 140.820 * * [simplify]: Extracting #0: cost 1 inf + 0 140.820 * * [simplify]: Extracting #1: cost 22 inf + 0 140.820 * * [simplify]: Extracting #2: cost 45 inf + 0 140.820 * * [simplify]: Extracting #3: cost 57 inf + 0 140.820 * * [simplify]: Extracting #4: cost 64 inf + 62 140.820 * * [simplify]: Extracting #5: cost 59 inf + 971 140.821 * * [simplify]: Extracting #6: cost 52 inf + 1418 140.821 * * [simplify]: Extracting #7: cost 34 inf + 7061 140.826 * * [simplify]: Extracting #8: cost 9 inf + 20041 140.834 * * [simplify]: Extracting #9: cost 0 inf + 24490 140.842 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 140.842 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 140.842 * * * * [progress]: [ 336 / 2703 ] simplifiying candidate # 140.843 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 140.843 * * [simplify]: iters left: 6 (22 enodes) 140.853 * * [simplify]: iters left: 5 (75 enodes) 140.877 * * [simplify]: iters left: 4 (98 enodes) 140.908 * * [simplify]: iters left: 3 (142 enodes) 140.960 * * [simplify]: iters left: 2 (196 enodes) 141.026 * * [simplify]: iters left: 1 (258 enodes) 141.093 * * [simplify]: Extracting #0: cost 1 inf + 0 141.093 * * [simplify]: Extracting #1: cost 22 inf + 0 141.093 * * [simplify]: Extracting #2: cost 44 inf + 1 141.093 * * [simplify]: Extracting #3: cost 54 inf + 1 141.094 * * [simplify]: Extracting #4: cost 60 inf + 63 141.095 * * [simplify]: Extracting #5: cost 51 inf + 1335 141.096 * * [simplify]: Extracting #6: cost 44 inf + 4133 141.098 * * [simplify]: Extracting #7: cost 36 inf + 5324 141.100 * * [simplify]: Extracting #8: cost 25 inf + 8332 141.107 * * [simplify]: Extracting #9: cost 3 inf + 21615 141.119 * * [simplify]: Extracting #10: cost 0 inf + 23587 141.130 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) 141.130 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 141.131 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 141.131 * * [simplify]: iters left: 6 (20 enodes) 141.139 * * [simplify]: iters left: 5 (67 enodes) 141.155 * * [simplify]: iters left: 4 (84 enodes) 141.168 * * [simplify]: iters left: 3 (107 enodes) 141.186 * * [simplify]: iters left: 2 (126 enodes) 141.220 * * [simplify]: iters left: 1 (145 enodes) 141.265 * * [simplify]: Extracting #0: cost 1 inf + 0 141.265 * * [simplify]: Extracting #1: cost 21 inf + 0 141.265 * * [simplify]: Extracting #2: cost 44 inf + 0 141.266 * * [simplify]: Extracting #3: cost 57 inf + 0 141.266 * * [simplify]: Extracting #4: cost 65 inf + 62 141.267 * * [simplify]: Extracting #5: cost 50 inf + 1217 141.268 * * [simplify]: Extracting #6: cost 30 inf + 7465 141.274 * * [simplify]: Extracting #7: cost 4 inf + 20088 141.281 * * [simplify]: Extracting #8: cost 0 inf + 22542 141.288 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (* (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 141.289 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (cbrt (cos th)) (/ (* (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 141.289 * * * * [progress]: [ 337 / 2703 ] simplifiying candidate # 141.290 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 141.290 * * [simplify]: iters left: 6 (23 enodes) 141.303 * * [simplify]: iters left: 5 (82 enodes) 141.329 * * [simplify]: iters left: 4 (119 enodes) 141.370 * * [simplify]: iters left: 3 (225 enodes) 141.447 * * [simplify]: iters left: 2 (475 enodes) 141.782 * * [simplify]: Extracting #0: cost 1 inf + 0 141.782 * * [simplify]: Extracting #1: cost 38 inf + 0 141.783 * * [simplify]: Extracting #2: cost 76 inf + 1 141.783 * * [simplify]: Extracting #3: cost 85 inf + 1 141.784 * * [simplify]: Extracting #4: cost 91 inf + 63 141.785 * * [simplify]: Extracting #5: cost 91 inf + 991 141.786 * * [simplify]: Extracting #6: cost 80 inf + 1803 141.790 * * [simplify]: Extracting #7: cost 49 inf + 13975 141.803 * * [simplify]: Extracting #8: cost 5 inf + 37892 141.815 * * [simplify]: Extracting #9: cost 0 inf + 41250 141.836 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))) 141.837 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 141.837 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 141.837 * * [simplify]: iters left: 6 (19 enodes) 141.846 * * [simplify]: iters left: 5 (64 enodes) 141.856 * * [simplify]: iters left: 4 (81 enodes) 141.869 * * [simplify]: iters left: 3 (104 enodes) 141.892 * * [simplify]: iters left: 2 (123 enodes) 141.929 * * [simplify]: iters left: 1 (142 enodes) 141.968 * * [simplify]: Extracting #0: cost 1 inf + 0 141.968 * * [simplify]: Extracting #1: cost 21 inf + 0 141.969 * * [simplify]: Extracting #2: cost 44 inf + 0 141.969 * * [simplify]: Extracting #3: cost 55 inf + 0 141.969 * * [simplify]: Extracting #4: cost 53 inf + 488 141.970 * * [simplify]: Extracting #5: cost 50 inf + 1958 141.970 * * [simplify]: Extracting #6: cost 46 inf + 2303 141.972 * * [simplify]: Extracting #7: cost 33 inf + 5693 141.977 * * [simplify]: Extracting #8: cost 6 inf + 19162 141.981 * * [simplify]: Extracting #9: cost 0 inf + 22302 141.985 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 141.985 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 141.985 * * * * [progress]: [ 338 / 2703 ] simplifiying candidate # 141.985 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 141.985 * * [simplify]: iters left: 6 (24 enodes) 141.992 * * [simplify]: iters left: 5 (84 enodes) 142.012 * * [simplify]: iters left: 4 (110 enodes) 142.046 * * [simplify]: iters left: 3 (158 enodes) 142.108 * * [simplify]: iters left: 2 (240 enodes) 142.178 * * [simplify]: iters left: 1 (291 enodes) 142.278 * * [simplify]: Extracting #0: cost 1 inf + 0 142.278 * * [simplify]: Extracting #1: cost 22 inf + 0 142.278 * * [simplify]: Extracting #2: cost 44 inf + 1 142.278 * * [simplify]: Extracting #3: cost 55 inf + 1 142.278 * * [simplify]: Extracting #4: cost 62 inf + 63 142.279 * * [simplify]: Extracting #5: cost 58 inf + 1838 142.279 * * [simplify]: Extracting #6: cost 47 inf + 2489 142.280 * * [simplify]: Extracting #7: cost 35 inf + 6040 142.283 * * [simplify]: Extracting #8: cost 13 inf + 15669 142.288 * * [simplify]: Extracting #9: cost 0 inf + 23094 142.298 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 142.298 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 142.299 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 142.299 * * [simplify]: iters left: 6 (20 enodes) 142.309 * * [simplify]: iters left: 5 (67 enodes) 142.322 * * [simplify]: iters left: 4 (84 enodes) 142.335 * * [simplify]: iters left: 3 (107 enodes) 142.358 * * [simplify]: iters left: 2 (126 enodes) 142.385 * * [simplify]: iters left: 1 (145 enodes) 142.409 * * [simplify]: Extracting #0: cost 1 inf + 0 142.409 * * [simplify]: Extracting #1: cost 21 inf + 0 142.409 * * [simplify]: Extracting #2: cost 44 inf + 0 142.409 * * [simplify]: Extracting #3: cost 56 inf + 0 142.410 * * [simplify]: Extracting #4: cost 56 inf + 507 142.410 * * [simplify]: Extracting #5: cost 53 inf + 1656 142.411 * * [simplify]: Extracting #6: cost 48 inf + 2303 142.413 * * [simplify]: Extracting #7: cost 29 inf + 8615 142.416 * * [simplify]: Extracting #8: cost 20 inf + 12201 142.423 * * [simplify]: Extracting #9: cost 2 inf + 22360 142.430 * * [simplify]: Extracting #10: cost 0 inf + 23186 142.438 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) 142.438 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))))) 142.438 * * * * [progress]: [ 339 / 2703 ] simplifiying candidate # 142.439 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 142.439 * * [simplify]: iters left: 6 (22 enodes) 142.451 * * [simplify]: iters left: 5 (77 enodes) 142.469 * * [simplify]: iters left: 4 (103 enodes) 142.488 * * [simplify]: iters left: 3 (151 enodes) 142.516 * * [simplify]: iters left: 2 (234 enodes) 142.583 * * [simplify]: iters left: 1 (284 enodes) 142.674 * * [simplify]: Extracting #0: cost 1 inf + 0 142.674 * * [simplify]: Extracting #1: cost 22 inf + 0 142.674 * * [simplify]: Extracting #2: cost 43 inf + 1 142.675 * * [simplify]: Extracting #3: cost 52 inf + 1 142.675 * * [simplify]: Extracting #4: cost 58 inf + 63 142.676 * * [simplify]: Extracting #5: cost 55 inf + 1656 142.677 * * [simplify]: Extracting #6: cost 42 inf + 2610 142.678 * * [simplify]: Extracting #7: cost 33 inf + 5133 142.684 * * [simplify]: Extracting #8: cost 7 inf + 17061 142.695 * * [simplify]: Extracting #9: cost 0 inf + 20967 142.703 * * [simplify]: Extracting #10: cost 0 inf + 20926 142.709 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 142.709 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 142.709 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 142.709 * * [simplify]: iters left: 6 (19 enodes) 142.714 * * [simplify]: iters left: 5 (64 enodes) 142.724 * * [simplify]: iters left: 4 (81 enodes) 142.742 * * [simplify]: iters left: 3 (104 enodes) 142.775 * * [simplify]: iters left: 2 (123 enodes) 142.801 * * [simplify]: iters left: 1 (142 enodes) 142.821 * * [simplify]: Extracting #0: cost 1 inf + 0 142.821 * * [simplify]: Extracting #1: cost 21 inf + 0 142.821 * * [simplify]: Extracting #2: cost 44 inf + 0 142.821 * * [simplify]: Extracting #3: cost 55 inf + 0 142.821 * * [simplify]: Extracting #4: cost 53 inf + 488 142.821 * * [simplify]: Extracting #5: cost 50 inf + 1958 142.822 * * [simplify]: Extracting #6: cost 46 inf + 2303 142.823 * * [simplify]: Extracting #7: cost 33 inf + 5613 142.828 * * [simplify]: Extracting #8: cost 6 inf + 18442 142.835 * * [simplify]: Extracting #9: cost 0 inf + 21422 142.843 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 142.843 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 142.843 * * * * [progress]: [ 340 / 2703 ] simplifiying candidate # 142.844 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt 1))) 142.844 * * [simplify]: iters left: 6 (22 enodes) 142.860 * * [simplify]: iters left: 5 (77 enodes) 142.872 * * [simplify]: iters left: 4 (91 enodes) 142.891 * * [simplify]: iters left: 3 (118 enodes) 142.929 * * [simplify]: iters left: 2 (147 enodes) 142.963 * * [simplify]: iters left: 1 (187 enodes) 143.045 * * [simplify]: Extracting #0: cost 1 inf + 0 143.045 * * [simplify]: Extracting #1: cost 12 inf + 0 143.045 * * [simplify]: Extracting #2: cost 22 inf + 1 143.045 * * [simplify]: Extracting #3: cost 30 inf + 1 143.045 * * [simplify]: Extracting #4: cost 34 inf + 124 143.046 * * [simplify]: Extracting #5: cost 32 inf + 1354 143.047 * * [simplify]: Extracting #6: cost 32 inf + 1659 143.048 * * [simplify]: Extracting #7: cost 24 inf + 2187 143.049 * * [simplify]: Extracting #8: cost 13 inf + 5516 143.054 * * [simplify]: Extracting #9: cost 1 inf + 10877 143.059 * * [simplify]: Extracting #10: cost 0 inf + 11501 143.065 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 143.065 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 143.066 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 143.066 * * [simplify]: iters left: 6 (18 enodes) 143.075 * * [simplify]: iters left: 5 (61 enodes) 143.094 * * [simplify]: iters left: 4 (77 enodes) 143.117 * * [simplify]: iters left: 3 (98 enodes) 143.147 * * [simplify]: iters left: 2 (116 enodes) 143.178 * * [simplify]: iters left: 1 (133 enodes) 143.218 * * [simplify]: Extracting #0: cost 1 inf + 0 143.218 * * [simplify]: Extracting #1: cost 22 inf + 0 143.218 * * [simplify]: Extracting #2: cost 45 inf + 0 143.218 * * [simplify]: Extracting #3: cost 55 inf + 0 143.219 * * [simplify]: Extracting #4: cost 53 inf + 427 143.219 * * [simplify]: Extracting #5: cost 42 inf + 1740 143.221 * * [simplify]: Extracting #6: cost 24 inf + 7990 143.226 * * [simplify]: Extracting #7: cost 5 inf + 17074 143.232 * * [simplify]: Extracting #8: cost 0 inf + 19550 143.235 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 143.235 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 143.236 * * * * [progress]: [ 341 / 2703 ] simplifiying candidate # 143.236 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 143.236 * * [simplify]: iters left: 6 (22 enodes) 143.243 * * [simplify]: iters left: 5 (77 enodes) 143.257 * * [simplify]: iters left: 4 (103 enodes) 143.287 * * [simplify]: iters left: 3 (151 enodes) 143.343 * * [simplify]: iters left: 2 (234 enodes) 143.406 * * [simplify]: iters left: 1 (284 enodes) 143.491 * * [simplify]: Extracting #0: cost 1 inf + 0 143.491 * * [simplify]: Extracting #1: cost 22 inf + 0 143.492 * * [simplify]: Extracting #2: cost 43 inf + 1 143.492 * * [simplify]: Extracting #3: cost 52 inf + 1 143.492 * * [simplify]: Extracting #4: cost 58 inf + 63 143.492 * * [simplify]: Extracting #5: cost 55 inf + 1656 143.493 * * [simplify]: Extracting #6: cost 42 inf + 2610 143.494 * * [simplify]: Extracting #7: cost 33 inf + 5133 143.497 * * [simplify]: Extracting #8: cost 7 inf + 17061 143.502 * * [simplify]: Extracting #9: cost 0 inf + 20967 143.509 * * [simplify]: Extracting #10: cost 0 inf + 20926 143.520 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 143.520 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 143.521 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 143.521 * * [simplify]: iters left: 6 (19 enodes) 143.531 * * [simplify]: iters left: 5 (64 enodes) 143.549 * * [simplify]: iters left: 4 (81 enodes) 143.563 * * [simplify]: iters left: 3 (104 enodes) 143.579 * * [simplify]: iters left: 2 (123 enodes) 143.596 * * [simplify]: iters left: 1 (142 enodes) 143.617 * * [simplify]: Extracting #0: cost 1 inf + 0 143.617 * * [simplify]: Extracting #1: cost 21 inf + 0 143.617 * * [simplify]: Extracting #2: cost 44 inf + 0 143.617 * * [simplify]: Extracting #3: cost 55 inf + 0 143.617 * * [simplify]: Extracting #4: cost 53 inf + 488 143.618 * * [simplify]: Extracting #5: cost 50 inf + 1958 143.618 * * [simplify]: Extracting #6: cost 46 inf + 2303 143.620 * * [simplify]: Extracting #7: cost 33 inf + 5613 143.625 * * [simplify]: Extracting #8: cost 6 inf + 18442 143.631 * * [simplify]: Extracting #9: cost 0 inf + 21422 143.635 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 143.635 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 143.635 * * * * [progress]: [ 342 / 2703 ] simplifiying candidate # 143.636 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) 1)) 143.636 * * [simplify]: iters left: 6 (21 enodes) 143.643 * * [simplify]: iters left: 5 (72 enodes) 143.656 * * [simplify]: iters left: 4 (86 enodes) 143.669 * * [simplify]: iters left: 3 (109 enodes) 143.687 * * [simplify]: iters left: 2 (139 enodes) 143.723 * * [simplify]: iters left: 1 (179 enodes) 143.779 * * [simplify]: Extracting #0: cost 1 inf + 0 143.779 * * [simplify]: Extracting #1: cost 12 inf + 0 143.779 * * [simplify]: Extracting #2: cost 22 inf + 1 143.779 * * [simplify]: Extracting #3: cost 30 inf + 1 143.780 * * [simplify]: Extracting #4: cost 35 inf + 63 143.780 * * [simplify]: Extracting #5: cost 33 inf + 1213 143.781 * * [simplify]: Extracting #6: cost 33 inf + 1618 143.782 * * [simplify]: Extracting #7: cost 24 inf + 2227 143.784 * * [simplify]: Extracting #8: cost 11 inf + 6322 143.788 * * [simplify]: Extracting #9: cost 1 inf + 11057 143.794 * * [simplify]: Extracting #10: cost 0 inf + 11501 143.800 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 143.800 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 143.801 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 143.801 * * [simplify]: iters left: 6 (18 enodes) 143.806 * * [simplify]: iters left: 5 (61 enodes) 143.816 * * [simplify]: iters left: 4 (77 enodes) 143.829 * * [simplify]: iters left: 3 (98 enodes) 143.850 * * [simplify]: iters left: 2 (116 enodes) 143.866 * * [simplify]: iters left: 1 (133 enodes) 143.895 * * [simplify]: Extracting #0: cost 1 inf + 0 143.895 * * [simplify]: Extracting #1: cost 22 inf + 0 143.896 * * [simplify]: Extracting #2: cost 45 inf + 0 143.896 * * [simplify]: Extracting #3: cost 55 inf + 0 143.896 * * [simplify]: Extracting #4: cost 53 inf + 427 143.897 * * [simplify]: Extracting #5: cost 42 inf + 1740 143.899 * * [simplify]: Extracting #6: cost 24 inf + 7990 143.904 * * [simplify]: Extracting #7: cost 5 inf + 17074 143.910 * * [simplify]: Extracting #8: cost 0 inf + 19550 143.914 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 143.914 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 143.914 * * * * [progress]: [ 343 / 2703 ] simplifiying candidate # 143.914 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 143.914 * * [simplify]: iters left: 6 (23 enodes) 143.920 * * [simplify]: iters left: 5 (84 enodes) 143.936 * * [simplify]: iters left: 4 (143 enodes) 143.974 * * [simplify]: iters left: 3 (330 enodes) 144.122 * * [simplify]: Extracting #0: cost 1 inf + 0 144.122 * * [simplify]: Extracting #1: cost 99 inf + 0 144.124 * * [simplify]: Extracting #2: cost 230 inf + 0 144.126 * * [simplify]: Extracting #3: cost 241 inf + 0 144.128 * * [simplify]: Extracting #4: cost 243 inf + 586 144.131 * * [simplify]: Extracting #5: cost 234 inf + 3042 144.134 * * [simplify]: Extracting #6: cost 221 inf + 6442 144.140 * * [simplify]: Extracting #7: cost 188 inf + 21798 144.185 * * [simplify]: Extracting #8: cost 40 inf + 123480 144.239 * * [simplify]: Extracting #9: cost 0 inf + 153911 144.293 * * [simplify]: Extracting #10: cost 0 inf + 153871 144.333 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 144.333 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 144.333 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 144.333 * * [simplify]: iters left: 6 (20 enodes) 144.342 * * [simplify]: iters left: 5 (67 enodes) 144.361 * * [simplify]: iters left: 4 (84 enodes) 144.376 * * [simplify]: iters left: 3 (107 enodes) 144.399 * * [simplify]: iters left: 2 (126 enodes) 144.417 * * [simplify]: iters left: 1 (145 enodes) 144.452 * * [simplify]: Extracting #0: cost 1 inf + 0 144.452 * * [simplify]: Extracting #1: cost 21 inf + 0 144.452 * * [simplify]: Extracting #2: cost 44 inf + 0 144.453 * * [simplify]: Extracting #3: cost 55 inf + 0 144.453 * * [simplify]: Extracting #4: cost 61 inf + 62 144.454 * * [simplify]: Extracting #5: cost 53 inf + 1635 144.454 * * [simplify]: Extracting #6: cost 47 inf + 2643 144.456 * * [simplify]: Extracting #7: cost 29 inf + 8388 144.462 * * [simplify]: Extracting #8: cost 3 inf + 22915 144.466 * * [simplify]: Extracting #9: cost 0 inf + 24464 144.470 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 144.470 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 144.470 * * * * [progress]: [ 344 / 2703 ] simplifiying candidate # 144.470 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 144.472 * * [simplify]: iters left: 6 (24 enodes) 144.477 * * [simplify]: iters left: 5 (84 enodes) 144.492 * * [simplify]: iters left: 4 (122 enodes) 144.526 * * [simplify]: iters left: 3 (234 enodes) 144.614 * * [simplify]: Extracting #0: cost 1 inf + 0 144.614 * * [simplify]: Extracting #1: cost 65 inf + 0 144.614 * * [simplify]: Extracting #2: cost 136 inf + 0 144.615 * * [simplify]: Extracting #3: cost 148 inf + 0 144.615 * * [simplify]: Extracting #4: cost 153 inf + 384 144.616 * * [simplify]: Extracting #5: cost 150 inf + 1091 144.617 * * [simplify]: Extracting #6: cost 137 inf + 3327 144.619 * * [simplify]: Extracting #7: cost 96 inf + 20235 144.634 * * [simplify]: Extracting #8: cost 11 inf + 79286 144.651 * * [simplify]: Extracting #9: cost 0 inf + 88150 144.675 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 144.675 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 144.676 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 144.676 * * [simplify]: iters left: 6 (21 enodes) 144.688 * * [simplify]: iters left: 5 (70 enodes) 144.710 * * [simplify]: iters left: 4 (87 enodes) 144.736 * * [simplify]: iters left: 3 (110 enodes) 144.768 * * [simplify]: iters left: 2 (129 enodes) 144.793 * * [simplify]: iters left: 1 (148 enodes) 144.816 * * [simplify]: Extracting #0: cost 1 inf + 0 144.817 * * [simplify]: Extracting #1: cost 22 inf + 0 144.817 * * [simplify]: Extracting #2: cost 45 inf + 0 144.817 * * [simplify]: Extracting #3: cost 57 inf + 0 144.817 * * [simplify]: Extracting #4: cost 64 inf + 62 144.817 * * [simplify]: Extracting #5: cost 59 inf + 1091 144.818 * * [simplify]: Extracting #6: cost 50 inf + 2643 144.818 * * [simplify]: Extracting #7: cost 34 inf + 7603 144.821 * * [simplify]: Extracting #8: cost 9 inf + 21163 144.825 * * [simplify]: Extracting #9: cost 0 inf + 26052 144.829 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))) 144.829 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))))) 144.830 * * * * [progress]: [ 345 / 2703 ] simplifiying candidate # 144.830 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 144.830 * * [simplify]: iters left: 6 (22 enodes) 144.835 * * [simplify]: iters left: 5 (77 enodes) 144.849 * * [simplify]: iters left: 4 (115 enodes) 144.889 * * [simplify]: iters left: 3 (227 enodes) 144.980 * * [simplify]: Extracting #0: cost 1 inf + 0 144.981 * * [simplify]: Extracting #1: cost 65 inf + 0 144.981 * * [simplify]: Extracting #2: cost 135 inf + 0 144.982 * * [simplify]: Extracting #3: cost 145 inf + 0 144.982 * * [simplify]: Extracting #4: cost 147 inf + 626 144.983 * * [simplify]: Extracting #5: cost 146 inf + 1091 144.984 * * [simplify]: Extracting #6: cost 128 inf + 5056 144.987 * * [simplify]: Extracting #7: cost 83 inf + 26729 145.000 * * [simplify]: Extracting #8: cost 13 inf + 73593 145.034 * * [simplify]: Extracting #9: cost 0 inf + 82422 145.052 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 145.052 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 145.052 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 145.052 * * [simplify]: iters left: 6 (20 enodes) 145.057 * * [simplify]: iters left: 5 (67 enodes) 145.072 * * [simplify]: iters left: 4 (84 enodes) 145.086 * * [simplify]: iters left: 3 (107 enodes) 145.101 * * [simplify]: iters left: 2 (126 enodes) 145.120 * * [simplify]: iters left: 1 (145 enodes) 145.159 * * [simplify]: Extracting #0: cost 1 inf + 0 145.159 * * [simplify]: Extracting #1: cost 21 inf + 0 145.159 * * [simplify]: Extracting #2: cost 44 inf + 0 145.159 * * [simplify]: Extracting #3: cost 55 inf + 0 145.160 * * [simplify]: Extracting #4: cost 61 inf + 62 145.160 * * [simplify]: Extracting #5: cost 53 inf + 1635 145.161 * * [simplify]: Extracting #6: cost 47 inf + 2643 145.163 * * [simplify]: Extracting #7: cost 29 inf + 8308 145.168 * * [simplify]: Extracting #8: cost 3 inf + 22155 145.176 * * [simplify]: Extracting #9: cost 0 inf + 23584 145.183 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 145.183 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 145.184 * * * * [progress]: [ 346 / 2703 ] simplifiying candidate # 145.184 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 145.184 * * [simplify]: iters left: 6 (23 enodes) 145.191 * * [simplify]: iters left: 5 (82 enodes) 145.205 * * [simplify]: iters left: 4 (112 enodes) 145.225 * * [simplify]: iters left: 3 (198 enodes) 145.275 * * [simplify]: iters left: 2 (366 enodes) 145.488 * * [simplify]: Extracting #0: cost 1 inf + 0 145.488 * * [simplify]: Extracting #1: cost 46 inf + 0 145.489 * * [simplify]: Extracting #2: cost 81 inf + 1 145.490 * * [simplify]: Extracting #3: cost 90 inf + 1 145.491 * * [simplify]: Extracting #4: cost 95 inf + 63 145.491 * * [simplify]: Extracting #5: cost 90 inf + 911 145.493 * * [simplify]: Extracting #6: cost 77 inf + 5957 145.497 * * [simplify]: Extracting #7: cost 63 inf + 9681 145.507 * * [simplify]: Extracting #8: cost 32 inf + 24901 145.528 * * [simplify]: Extracting #9: cost 0 inf + 44907 145.550 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 145.550 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 145.551 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 145.551 * * [simplify]: iters left: 6 (19 enodes) 145.560 * * [simplify]: iters left: 5 (64 enodes) 145.580 * * [simplify]: iters left: 4 (81 enodes) 145.604 * * [simplify]: iters left: 3 (104 enodes) 145.636 * * [simplify]: iters left: 2 (123 enodes) 145.656 * * [simplify]: iters left: 1 (142 enodes) 145.678 * * [simplify]: Extracting #0: cost 1 inf + 0 145.679 * * [simplify]: Extracting #1: cost 21 inf + 0 145.679 * * [simplify]: Extracting #2: cost 44 inf + 0 145.679 * * [simplify]: Extracting #3: cost 56 inf + 0 145.679 * * [simplify]: Extracting #4: cost 62 inf + 123 145.680 * * [simplify]: Extracting #5: cost 50 inf + 1175 145.681 * * [simplify]: Extracting #6: cost 29 inf + 7504 145.687 * * [simplify]: Extracting #7: cost 4 inf + 20147 145.695 * * [simplify]: Extracting #8: cost 0 inf + 22380 145.702 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 145.703 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 145.703 * * * * [progress]: [ 347 / 2703 ] simplifiying candidate # 145.703 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 145.704 * * [simplify]: iters left: 6 (22 enodes) 145.714 * * [simplify]: iters left: 5 (77 enodes) 145.735 * * [simplify]: iters left: 4 (115 enodes) 145.757 * * [simplify]: iters left: 3 (227 enodes) 145.858 * * [simplify]: Extracting #0: cost 1 inf + 0 145.859 * * [simplify]: Extracting #1: cost 65 inf + 0 145.859 * * [simplify]: Extracting #2: cost 135 inf + 0 145.860 * * [simplify]: Extracting #3: cost 145 inf + 0 145.861 * * [simplify]: Extracting #4: cost 147 inf + 626 145.863 * * [simplify]: Extracting #5: cost 146 inf + 1091 145.864 * * [simplify]: Extracting #6: cost 128 inf + 5056 145.868 * * [simplify]: Extracting #7: cost 83 inf + 26729 145.882 * * [simplify]: Extracting #8: cost 13 inf + 73593 145.900 * * [simplify]: Extracting #9: cost 0 inf + 82422 145.932 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 145.932 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 145.933 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 145.933 * * [simplify]: iters left: 6 (20 enodes) 145.943 * * [simplify]: iters left: 5 (67 enodes) 145.964 * * [simplify]: iters left: 4 (84 enodes) 145.992 * * [simplify]: iters left: 3 (107 enodes) 146.021 * * [simplify]: iters left: 2 (126 enodes) 146.049 * * [simplify]: iters left: 1 (145 enodes) 146.069 * * [simplify]: Extracting #0: cost 1 inf + 0 146.069 * * [simplify]: Extracting #1: cost 21 inf + 0 146.070 * * [simplify]: Extracting #2: cost 44 inf + 0 146.070 * * [simplify]: Extracting #3: cost 55 inf + 0 146.070 * * [simplify]: Extracting #4: cost 61 inf + 62 146.070 * * [simplify]: Extracting #5: cost 53 inf + 1635 146.070 * * [simplify]: Extracting #6: cost 47 inf + 2643 146.071 * * [simplify]: Extracting #7: cost 29 inf + 8308 146.075 * * [simplify]: Extracting #8: cost 3 inf + 22155 146.083 * * [simplify]: Extracting #9: cost 0 inf + 23584 146.091 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 146.091 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 146.091 * * * * [progress]: [ 348 / 2703 ] simplifiying candidate # 146.092 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 146.092 * * [simplify]: iters left: 6 (22 enodes) 146.104 * * [simplify]: iters left: 5 (77 enodes) 146.117 * * [simplify]: iters left: 4 (115 enodes) 146.143 * * [simplify]: iters left: 3 (209 enodes) 146.234 * * [simplify]: iters left: 2 (398 enodes) 146.463 * * [simplify]: Extracting #0: cost 1 inf + 0 146.463 * * [simplify]: Extracting #1: cost 46 inf + 0 146.464 * * [simplify]: Extracting #2: cost 85 inf + 1 146.465 * * [simplify]: Extracting #3: cost 94 inf + 1 146.465 * * [simplify]: Extracting #4: cost 95 inf + 707 146.467 * * [simplify]: Extracting #5: cost 93 inf + 1092 146.468 * * [simplify]: Extracting #6: cost 84 inf + 5012 146.472 * * [simplify]: Extracting #7: cost 64 inf + 10886 146.479 * * [simplify]: Extracting #8: cost 38 inf + 23208 146.489 * * [simplify]: Extracting #9: cost 5 inf + 43959 146.502 * * [simplify]: Extracting #10: cost 0 inf + 47340 146.516 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 146.517 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 146.518 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 146.518 * * [simplify]: iters left: 6 (19 enodes) 146.527 * * [simplify]: iters left: 5 (64 enodes) 146.546 * * [simplify]: iters left: 4 (81 enodes) 146.565 * * [simplify]: iters left: 3 (104 enodes) 146.582 * * [simplify]: iters left: 2 (123 enodes) 146.611 * * [simplify]: iters left: 1 (142 enodes) 146.644 * * [simplify]: Extracting #0: cost 1 inf + 0 146.644 * * [simplify]: Extracting #1: cost 21 inf + 0 146.644 * * [simplify]: Extracting #2: cost 44 inf + 0 146.644 * * [simplify]: Extracting #3: cost 56 inf + 0 146.644 * * [simplify]: Extracting #4: cost 62 inf + 123 146.644 * * [simplify]: Extracting #5: cost 50 inf + 1175 146.645 * * [simplify]: Extracting #6: cost 29 inf + 7504 146.648 * * [simplify]: Extracting #7: cost 4 inf + 20147 146.652 * * [simplify]: Extracting #8: cost 0 inf + 22380 146.655 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 146.656 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 146.656 * * * * [progress]: [ 349 / 2703 ] simplifiying candidate # 146.656 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 146.656 * * [simplify]: iters left: 6 (22 enodes) 146.662 * * [simplify]: iters left: 5 (77 enodes) 146.686 * * [simplify]: iters left: 4 (114 enodes) 146.725 * * [simplify]: iters left: 3 (208 enodes) 146.779 * * [simplify]: iters left: 2 (434 enodes) 147.037 * * [simplify]: Extracting #0: cost 1 inf + 0 147.037 * * [simplify]: Extracting #1: cost 76 inf + 0 147.038 * * [simplify]: Extracting #2: cost 144 inf + 0 147.040 * * [simplify]: Extracting #3: cost 154 inf + 0 147.041 * * [simplify]: Extracting #4: cost 156 inf + 626 147.043 * * [simplify]: Extracting #5: cost 154 inf + 1212 147.045 * * [simplify]: Extracting #6: cost 140 inf + 3691 147.050 * * [simplify]: Extracting #7: cost 112 inf + 16356 147.076 * * [simplify]: Extracting #8: cost 30 inf + 68957 147.100 * * [simplify]: Extracting #9: cost 0 inf + 89366 147.141 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2))))) 147.141 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 147.142 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 147.142 * * [simplify]: iters left: 6 (20 enodes) 147.152 * * [simplify]: iters left: 5 (67 enodes) 147.172 * * [simplify]: iters left: 4 (84 enodes) 147.197 * * [simplify]: iters left: 3 (107 enodes) 147.228 * * [simplify]: iters left: 2 (126 enodes) 147.247 * * [simplify]: iters left: 1 (145 enodes) 147.272 * * [simplify]: Extracting #0: cost 1 inf + 0 147.272 * * [simplify]: Extracting #1: cost 21 inf + 0 147.272 * * [simplify]: Extracting #2: cost 44 inf + 0 147.273 * * [simplify]: Extracting #3: cost 55 inf + 0 147.273 * * [simplify]: Extracting #4: cost 61 inf + 62 147.274 * * [simplify]: Extracting #5: cost 53 inf + 1555 147.274 * * [simplify]: Extracting #6: cost 47 inf + 2443 147.277 * * [simplify]: Extracting #7: cost 29 inf + 8028 147.282 * * [simplify]: Extracting #8: cost 3 inf + 22035 147.286 * * [simplify]: Extracting #9: cost 0 inf + 23504 147.290 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 147.290 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 147.290 * * * * [progress]: [ 350 / 2703 ] simplifiying candidate # 147.290 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 147.291 * * [simplify]: iters left: 6 (23 enodes) 147.296 * * [simplify]: iters left: 5 (79 enodes) 147.308 * * [simplify]: iters left: 4 (108 enodes) 147.329 * * [simplify]: iters left: 3 (169 enodes) 147.387 * * [simplify]: iters left: 2 (267 enodes) 147.497 * * [simplify]: iters left: 1 (390 enodes) 147.637 * * [simplify]: Extracting #0: cost 1 inf + 0 147.637 * * [simplify]: Extracting #1: cost 38 inf + 0 147.638 * * [simplify]: Extracting #2: cost 77 inf + 0 147.639 * * [simplify]: Extracting #3: cost 89 inf + 0 147.639 * * [simplify]: Extracting #4: cost 96 inf + 62 147.640 * * [simplify]: Extracting #5: cost 90 inf + 1212 147.641 * * [simplify]: Extracting #6: cost 80 inf + 2203 147.645 * * [simplify]: Extracting #7: cost 52 inf + 13541 147.659 * * [simplify]: Extracting #8: cost 4 inf + 41626 147.671 * * [simplify]: Extracting #9: cost 0 inf + 43939 147.681 * [simplify]: Simplified to (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 147.681 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 147.682 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 147.682 * * [simplify]: iters left: 6 (21 enodes) 147.687 * * [simplify]: iters left: 5 (70 enodes) 147.698 * * [simplify]: iters left: 4 (87 enodes) 147.711 * * [simplify]: iters left: 3 (110 enodes) 147.731 * * [simplify]: iters left: 2 (129 enodes) 147.769 * * [simplify]: iters left: 1 (148 enodes) 147.812 * * [simplify]: Extracting #0: cost 1 inf + 0 147.812 * * [simplify]: Extracting #1: cost 22 inf + 0 147.812 * * [simplify]: Extracting #2: cost 45 inf + 0 147.813 * * [simplify]: Extracting #3: cost 57 inf + 0 147.813 * * [simplify]: Extracting #4: cost 64 inf + 62 147.814 * * [simplify]: Extracting #5: cost 59 inf + 1051 147.814 * * [simplify]: Extracting #6: cost 50 inf + 2443 147.816 * * [simplify]: Extracting #7: cost 34 inf + 7283 147.821 * * [simplify]: Extracting #8: cost 9 inf + 20363 147.829 * * [simplify]: Extracting #9: cost 0 inf + 25052 147.836 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2))))) 147.836 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2))))))) 147.836 * * * * [progress]: [ 351 / 2703 ] simplifiying candidate # 147.836 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 147.836 * * [simplify]: iters left: 6 (21 enodes) 147.841 * * [simplify]: iters left: 5 (72 enodes) 147.853 * * [simplify]: iters left: 4 (101 enodes) 147.876 * * [simplify]: iters left: 3 (162 enodes) 147.934 * * [simplify]: iters left: 2 (260 enodes) 148.009 * * [simplify]: iters left: 1 (368 enodes) 148.110 * * [simplify]: Extracting #0: cost 1 inf + 0 148.110 * * [simplify]: Extracting #1: cost 38 inf + 0 148.110 * * [simplify]: Extracting #2: cost 76 inf + 0 148.110 * * [simplify]: Extracting #3: cost 86 inf + 0 148.111 * * [simplify]: Extracting #4: cost 92 inf + 62 148.111 * * [simplify]: Extracting #5: cost 86 inf + 1232 148.112 * * [simplify]: Extracting #6: cost 73 inf + 3490 148.115 * * [simplify]: Extracting #7: cost 46 inf + 14929 148.131 * * [simplify]: Extracting #8: cost 6 inf + 37650 148.150 * * [simplify]: Extracting #9: cost 0 inf + 40731 148.169 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 148.169 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 148.169 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 148.170 * * [simplify]: iters left: 6 (20 enodes) 148.179 * * [simplify]: iters left: 5 (67 enodes) 148.203 * * [simplify]: iters left: 4 (84 enodes) 148.228 * * [simplify]: iters left: 3 (107 enodes) 148.258 * * [simplify]: iters left: 2 (126 enodes) 148.292 * * [simplify]: iters left: 1 (145 enodes) 148.321 * * [simplify]: Extracting #0: cost 1 inf + 0 148.321 * * [simplify]: Extracting #1: cost 21 inf + 0 148.321 * * [simplify]: Extracting #2: cost 44 inf + 0 148.321 * * [simplify]: Extracting #3: cost 55 inf + 0 148.322 * * [simplify]: Extracting #4: cost 61 inf + 62 148.323 * * [simplify]: Extracting #5: cost 53 inf + 1555 148.323 * * [simplify]: Extracting #6: cost 47 inf + 2443 148.324 * * [simplify]: Extracting #7: cost 29 inf + 7948 148.327 * * [simplify]: Extracting #8: cost 3 inf + 21275 148.331 * * [simplify]: Extracting #9: cost 0 inf + 22624 148.335 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 148.335 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 148.335 * * * * [progress]: [ 352 / 2703 ] simplifiying candidate # 148.335 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 148.335 * * [simplify]: iters left: 6 (22 enodes) 148.342 * * [simplify]: iters left: 5 (77 enodes) 148.366 * * [simplify]: iters left: 4 (98 enodes) 148.396 * * [simplify]: iters left: 3 (140 enodes) 148.446 * * [simplify]: iters left: 2 (187 enodes) 148.519 * * [simplify]: iters left: 1 (260 enodes) 148.626 * * [simplify]: Extracting #0: cost 1 inf + 0 148.626 * * [simplify]: Extracting #1: cost 24 inf + 0 148.626 * * [simplify]: Extracting #2: cost 45 inf + 1 148.626 * * [simplify]: Extracting #3: cost 54 inf + 1 148.627 * * [simplify]: Extracting #4: cost 59 inf + 63 148.627 * * [simplify]: Extracting #5: cost 51 inf + 1254 148.627 * * [simplify]: Extracting #6: cost 47 inf + 3427 148.628 * * [simplify]: Extracting #7: cost 37 inf + 5162 148.629 * * [simplify]: Extracting #8: cost 29 inf + 7262 148.633 * * [simplify]: Extracting #9: cost 6 inf + 19386 148.642 * * [simplify]: Extracting #10: cost 0 inf + 23091 148.653 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) 148.654 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 148.654 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 148.654 * * [simplify]: iters left: 6 (19 enodes) 148.663 * * [simplify]: iters left: 5 (64 enodes) 148.685 * * [simplify]: iters left: 4 (81 enodes) 148.710 * * [simplify]: iters left: 3 (104 enodes) 148.738 * * [simplify]: iters left: 2 (123 enodes) 148.771 * * [simplify]: iters left: 1 (142 enodes) 148.811 * * [simplify]: Extracting #0: cost 1 inf + 0 148.811 * * [simplify]: Extracting #1: cost 21 inf + 0 148.811 * * [simplify]: Extracting #2: cost 44 inf + 0 148.812 * * [simplify]: Extracting #3: cost 56 inf + 0 148.812 * * [simplify]: Extracting #4: cost 62 inf + 123 148.812 * * [simplify]: Extracting #5: cost 50 inf + 1135 148.814 * * [simplify]: Extracting #6: cost 29 inf + 7144 148.820 * * [simplify]: Extracting #7: cost 4 inf + 19307 148.827 * * [simplify]: Extracting #8: cost 0 inf + 21420 148.836 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 148.836 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 148.836 * * * * [progress]: [ 353 / 2703 ] simplifiying candidate # 148.837 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 148.837 * * [simplify]: iters left: 6 (21 enodes) 148.845 * * [simplify]: iters left: 5 (72 enodes) 148.857 * * [simplify]: iters left: 4 (101 enodes) 148.876 * * [simplify]: iters left: 3 (162 enodes) 148.932 * * [simplify]: iters left: 2 (260 enodes) 149.016 * * [simplify]: iters left: 1 (368 enodes) 149.128 * * [simplify]: Extracting #0: cost 1 inf + 0 149.128 * * [simplify]: Extracting #1: cost 38 inf + 0 149.129 * * [simplify]: Extracting #2: cost 76 inf + 0 149.129 * * [simplify]: Extracting #3: cost 86 inf + 0 149.130 * * [simplify]: Extracting #4: cost 92 inf + 62 149.131 * * [simplify]: Extracting #5: cost 86 inf + 1232 149.132 * * [simplify]: Extracting #6: cost 73 inf + 3490 149.136 * * [simplify]: Extracting #7: cost 46 inf + 14929 149.153 * * [simplify]: Extracting #8: cost 6 inf + 37650 149.172 * * [simplify]: Extracting #9: cost 0 inf + 40731 149.191 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 149.191 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 149.191 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 149.192 * * [simplify]: iters left: 6 (20 enodes) 149.201 * * [simplify]: iters left: 5 (67 enodes) 149.220 * * [simplify]: iters left: 4 (84 enodes) 149.246 * * [simplify]: iters left: 3 (107 enodes) 149.276 * * [simplify]: iters left: 2 (126 enodes) 149.294 * * [simplify]: iters left: 1 (145 enodes) 149.325 * * [simplify]: Extracting #0: cost 1 inf + 0 149.326 * * [simplify]: Extracting #1: cost 21 inf + 0 149.326 * * [simplify]: Extracting #2: cost 44 inf + 0 149.326 * * [simplify]: Extracting #3: cost 55 inf + 0 149.326 * * [simplify]: Extracting #4: cost 61 inf + 62 149.327 * * [simplify]: Extracting #5: cost 53 inf + 1555 149.328 * * [simplify]: Extracting #6: cost 47 inf + 2443 149.330 * * [simplify]: Extracting #7: cost 29 inf + 7948 149.333 * * [simplify]: Extracting #8: cost 3 inf + 21275 149.337 * * [simplify]: Extracting #9: cost 0 inf + 22624 149.341 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 149.341 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 149.341 * * * * [progress]: [ 354 / 2703 ] simplifiying candidate # 149.341 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) 1)) 149.341 * * [simplify]: iters left: 6 (21 enodes) 149.347 * * [simplify]: iters left: 5 (72 enodes) 149.359 * * [simplify]: iters left: 4 (95 enodes) 149.376 * * [simplify]: iters left: 3 (139 enodes) 149.402 * * [simplify]: iters left: 2 (193 enodes) 149.480 * * [simplify]: iters left: 1 (255 enodes) 149.567 * * [simplify]: Extracting #0: cost 1 inf + 0 149.567 * * [simplify]: Extracting #1: cost 22 inf + 0 149.567 * * [simplify]: Extracting #2: cost 44 inf + 1 149.568 * * [simplify]: Extracting #3: cost 53 inf + 1 149.568 * * [simplify]: Extracting #4: cost 58 inf + 63 149.569 * * [simplify]: Extracting #5: cost 50 inf + 1374 149.570 * * [simplify]: Extracting #6: cost 44 inf + 3931 149.572 * * [simplify]: Extracting #7: cost 36 inf + 5162 149.575 * * [simplify]: Extracting #8: cost 23 inf + 9960 149.582 * * [simplify]: Extracting #9: cost 5 inf + 19726 149.593 * * [simplify]: Extracting #10: cost 0 inf + 22465 149.604 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) 149.604 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 149.605 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 149.605 * * [simplify]: iters left: 6 (19 enodes) 149.614 * * [simplify]: iters left: 5 (64 enodes) 149.634 * * [simplify]: iters left: 4 (81 enodes) 149.646 * * [simplify]: iters left: 3 (104 enodes) 149.662 * * [simplify]: iters left: 2 (123 enodes) 149.689 * * [simplify]: iters left: 1 (142 enodes) 149.712 * * [simplify]: Extracting #0: cost 1 inf + 0 149.712 * * [simplify]: Extracting #1: cost 21 inf + 0 149.712 * * [simplify]: Extracting #2: cost 44 inf + 0 149.712 * * [simplify]: Extracting #3: cost 56 inf + 0 149.713 * * [simplify]: Extracting #4: cost 62 inf + 123 149.713 * * [simplify]: Extracting #5: cost 50 inf + 1135 149.714 * * [simplify]: Extracting #6: cost 29 inf + 7144 149.717 * * [simplify]: Extracting #7: cost 4 inf + 19307 149.720 * * [simplify]: Extracting #8: cost 0 inf + 21420 149.724 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 149.724 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) 1)) (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 149.724 * * * * [progress]: [ 355 / 2703 ] simplifiying candidate # 149.725 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 149.725 * * [simplify]: iters left: 6 (22 enodes) 149.730 * * [simplify]: iters left: 5 (79 enodes) 149.749 * * [simplify]: iters left: 4 (114 enodes) 149.771 * * [simplify]: iters left: 3 (196 enodes) 149.845 * * [simplify]: iters left: 2 (435 enodes) 150.096 * * [simplify]: Extracting #0: cost 1 inf + 0 150.096 * * [simplify]: Extracting #1: cost 42 inf + 0 150.098 * * [simplify]: Extracting #2: cost 100 inf + 1 150.098 * * [simplify]: Extracting #3: cost 109 inf + 1 150.100 * * [simplify]: Extracting #4: cost 109 inf + 1110 150.101 * * [simplify]: Extracting #5: cost 110 inf + 1897 150.103 * * [simplify]: Extracting #6: cost 99 inf + 2569 150.105 * * [simplify]: Extracting #7: cost 81 inf + 8757 150.122 * * [simplify]: Extracting #8: cost 20 inf + 42271 150.148 * * [simplify]: Extracting #9: cost 1 inf + 54706 150.177 * * [simplify]: Extracting #10: cost 0 inf + 55269 150.197 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 150.197 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 150.198 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 150.198 * * [simplify]: iters left: 6 (19 enodes) 150.203 * * [simplify]: iters left: 5 (64 enodes) 150.214 * * [simplify]: iters left: 4 (81 enodes) 150.227 * * [simplify]: iters left: 3 (104 enodes) 150.257 * * [simplify]: iters left: 2 (123 enodes) 150.287 * * [simplify]: iters left: 1 (142 enodes) 150.331 * * [simplify]: Extracting #0: cost 1 inf + 0 150.331 * * [simplify]: Extracting #1: cost 21 inf + 0 150.331 * * [simplify]: Extracting #2: cost 44 inf + 0 150.331 * * [simplify]: Extracting #3: cost 55 inf + 0 150.332 * * [simplify]: Extracting #4: cost 53 inf + 488 150.332 * * [simplify]: Extracting #5: cost 50 inf + 1958 150.333 * * [simplify]: Extracting #6: cost 46 inf + 2303 150.334 * * [simplify]: Extracting #7: cost 33 inf + 5693 150.340 * * [simplify]: Extracting #8: cost 6 inf + 19162 150.346 * * [simplify]: Extracting #9: cost 0 inf + 22302 150.350 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 150.350 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 150.350 * * * * [progress]: [ 356 / 2703 ] simplifiying candidate # 150.351 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 150.351 * * [simplify]: iters left: 6 (23 enodes) 150.356 * * [simplify]: iters left: 5 (81 enodes) 150.370 * * [simplify]: iters left: 4 (108 enodes) 150.392 * * [simplify]: iters left: 3 (156 enodes) 150.443 * * [simplify]: iters left: 2 (247 enodes) 150.512 * * [simplify]: iters left: 1 (333 enodes) 150.609 * * [simplify]: Extracting #0: cost 1 inf + 0 150.609 * * [simplify]: Extracting #1: cost 21 inf + 0 150.609 * * [simplify]: Extracting #2: cost 43 inf + 1 150.609 * * [simplify]: Extracting #3: cost 54 inf + 1 150.609 * * [simplify]: Extracting #4: cost 61 inf + 63 150.610 * * [simplify]: Extracting #5: cost 60 inf + 1172 150.610 * * [simplify]: Extracting #6: cost 48 inf + 2407 150.611 * * [simplify]: Extracting #7: cost 36 inf + 5213 150.613 * * [simplify]: Extracting #8: cost 16 inf + 13877 150.622 * * [simplify]: Extracting #9: cost 2 inf + 21102 150.633 * * [simplify]: Extracting #10: cost 0 inf + 22309 150.639 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 150.639 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 150.639 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 150.639 * * [simplify]: iters left: 6 (20 enodes) 150.644 * * [simplify]: iters left: 5 (67 enodes) 150.655 * * [simplify]: iters left: 4 (84 enodes) 150.677 * * [simplify]: iters left: 3 (107 enodes) 150.693 * * [simplify]: iters left: 2 (126 enodes) 150.718 * * [simplify]: iters left: 1 (145 enodes) 150.759 * * [simplify]: Extracting #0: cost 1 inf + 0 150.759 * * [simplify]: Extracting #1: cost 21 inf + 0 150.759 * * [simplify]: Extracting #2: cost 44 inf + 0 150.759 * * [simplify]: Extracting #3: cost 56 inf + 0 150.760 * * [simplify]: Extracting #4: cost 56 inf + 507 150.760 * * [simplify]: Extracting #5: cost 53 inf + 1656 150.761 * * [simplify]: Extracting #6: cost 48 inf + 2303 150.763 * * [simplify]: Extracting #7: cost 29 inf + 8615 150.766 * * [simplify]: Extracting #8: cost 20 inf + 12201 150.773 * * [simplify]: Extracting #9: cost 2 inf + 22360 150.780 * * [simplify]: Extracting #10: cost 0 inf + 23186 150.787 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) 150.787 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))))) 150.788 * * * * [progress]: [ 357 / 2703 ] simplifiying candidate # 150.790 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 150.791 * * [simplify]: iters left: 6 (21 enodes) 150.801 * * [simplify]: iters left: 5 (74 enodes) 150.815 * * [simplify]: iters left: 4 (101 enodes) 150.836 * * [simplify]: iters left: 3 (149 enodes) 150.873 * * [simplify]: iters left: 2 (245 enodes) 150.974 * * [simplify]: iters left: 1 (337 enodes) 151.119 * * [simplify]: Extracting #0: cost 1 inf + 0 151.119 * * [simplify]: Extracting #1: cost 21 inf + 0 151.119 * * [simplify]: Extracting #2: cost 42 inf + 1 151.119 * * [simplify]: Extracting #3: cost 51 inf + 1 151.120 * * [simplify]: Extracting #4: cost 57 inf + 63 151.121 * * [simplify]: Extracting #5: cost 55 inf + 1394 151.122 * * [simplify]: Extracting #6: cost 43 inf + 2328 151.123 * * [simplify]: Extracting #7: cost 30 inf + 5839 151.129 * * [simplify]: Extracting #8: cost 11 inf + 14683 151.139 * * [simplify]: Extracting #9: cost 0 inf + 20221 151.149 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) 151.149 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 151.150 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 151.150 * * [simplify]: iters left: 6 (19 enodes) 151.159 * * [simplify]: iters left: 5 (64 enodes) 151.179 * * [simplify]: iters left: 4 (81 enodes) 151.204 * * [simplify]: iters left: 3 (104 enodes) 151.234 * * [simplify]: iters left: 2 (123 enodes) 151.263 * * [simplify]: iters left: 1 (142 enodes) 151.283 * * [simplify]: Extracting #0: cost 1 inf + 0 151.283 * * [simplify]: Extracting #1: cost 21 inf + 0 151.284 * * [simplify]: Extracting #2: cost 44 inf + 0 151.284 * * [simplify]: Extracting #3: cost 55 inf + 0 151.284 * * [simplify]: Extracting #4: cost 53 inf + 488 151.285 * * [simplify]: Extracting #5: cost 50 inf + 1958 151.285 * * [simplify]: Extracting #6: cost 46 inf + 2303 151.287 * * [simplify]: Extracting #7: cost 33 inf + 5613 151.292 * * [simplify]: Extracting #8: cost 6 inf + 18442 151.300 * * [simplify]: Extracting #9: cost 0 inf + 21422 151.307 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 151.308 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 151.308 * * * * [progress]: [ 358 / 2703 ] simplifiying candidate # 151.308 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt 1))) 151.308 * * [simplify]: iters left: 6 (21 enodes) 151.316 * * [simplify]: iters left: 5 (74 enodes) 151.328 * * [simplify]: iters left: 4 (95 enodes) 151.349 * * [simplify]: iters left: 3 (122 enodes) 151.374 * * [simplify]: iters left: 2 (178 enodes) 151.429 * * [simplify]: iters left: 1 (217 enodes) 151.484 * * [simplify]: Extracting #0: cost 1 inf + 0 151.484 * * [simplify]: Extracting #1: cost 13 inf + 0 151.484 * * [simplify]: Extracting #2: cost 23 inf + 1 151.484 * * [simplify]: Extracting #3: cost 31 inf + 1 151.484 * * [simplify]: Extracting #4: cost 36 inf + 63 151.484 * * [simplify]: Extracting #5: cost 34 inf + 1172 151.485 * * [simplify]: Extracting #6: cost 34 inf + 1618 151.485 * * [simplify]: Extracting #7: cost 26 inf + 2066 151.486 * * [simplify]: Extracting #8: cost 17 inf + 3643 151.488 * * [simplify]: Extracting #9: cost 7 inf + 8157 151.493 * * [simplify]: Extracting #10: cost 0 inf + 12166 151.499 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 151.500 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 151.500 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 151.500 * * [simplify]: iters left: 6 (18 enodes) 151.509 * * [simplify]: iters left: 5 (61 enodes) 151.528 * * [simplify]: iters left: 4 (77 enodes) 151.542 * * [simplify]: iters left: 3 (98 enodes) 151.557 * * [simplify]: iters left: 2 (116 enodes) 151.586 * * [simplify]: iters left: 1 (133 enodes) 151.624 * * [simplify]: Extracting #0: cost 1 inf + 0 151.624 * * [simplify]: Extracting #1: cost 22 inf + 0 151.624 * * [simplify]: Extracting #2: cost 45 inf + 0 151.625 * * [simplify]: Extracting #3: cost 55 inf + 0 151.625 * * [simplify]: Extracting #4: cost 53 inf + 427 151.625 * * [simplify]: Extracting #5: cost 42 inf + 1740 151.627 * * [simplify]: Extracting #6: cost 24 inf + 7990 151.632 * * [simplify]: Extracting #7: cost 5 inf + 17074 151.637 * * [simplify]: Extracting #8: cost 0 inf + 19550 151.640 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 151.640 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt 1))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 151.640 * * * * [progress]: [ 359 / 2703 ] simplifiying candidate # 151.641 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 151.641 * * [simplify]: iters left: 6 (21 enodes) 151.646 * * [simplify]: iters left: 5 (74 enodes) 151.660 * * [simplify]: iters left: 4 (101 enodes) 151.688 * * [simplify]: iters left: 3 (149 enodes) 151.729 * * [simplify]: iters left: 2 (245 enodes) 151.812 * * [simplify]: iters left: 1 (337 enodes) 151.944 * * [simplify]: Extracting #0: cost 1 inf + 0 151.944 * * [simplify]: Extracting #1: cost 21 inf + 0 151.944 * * [simplify]: Extracting #2: cost 42 inf + 1 151.945 * * [simplify]: Extracting #3: cost 51 inf + 1 151.945 * * [simplify]: Extracting #4: cost 57 inf + 63 151.946 * * [simplify]: Extracting #5: cost 55 inf + 1394 151.947 * * [simplify]: Extracting #6: cost 43 inf + 2328 151.948 * * [simplify]: Extracting #7: cost 30 inf + 5839 151.954 * * [simplify]: Extracting #8: cost 11 inf + 14683 151.964 * * [simplify]: Extracting #9: cost 0 inf + 20221 151.974 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) 151.974 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 151.975 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 151.975 * * [simplify]: iters left: 6 (19 enodes) 151.981 * * [simplify]: iters left: 5 (64 enodes) 151.992 * * [simplify]: iters left: 4 (81 enodes) 152.004 * * [simplify]: iters left: 3 (104 enodes) 152.031 * * [simplify]: iters left: 2 (123 enodes) 152.067 * * [simplify]: iters left: 1 (142 enodes) 152.089 * * [simplify]: Extracting #0: cost 1 inf + 0 152.089 * * [simplify]: Extracting #1: cost 21 inf + 0 152.089 * * [simplify]: Extracting #2: cost 44 inf + 0 152.089 * * [simplify]: Extracting #3: cost 55 inf + 0 152.089 * * [simplify]: Extracting #4: cost 53 inf + 488 152.089 * * [simplify]: Extracting #5: cost 50 inf + 1958 152.090 * * [simplify]: Extracting #6: cost 46 inf + 2303 152.090 * * [simplify]: Extracting #7: cost 33 inf + 5613 152.093 * * [simplify]: Extracting #8: cost 6 inf + 18442 152.097 * * [simplify]: Extracting #9: cost 0 inf + 21422 152.100 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 152.101 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 152.101 * * * * [progress]: [ 360 / 2703 ] simplifiying candidate # 152.101 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 1)) 152.101 * * [simplify]: iters left: 6 (20 enodes) 152.110 * * [simplify]: iters left: 5 (67 enodes) 152.131 * * [simplify]: iters left: 4 (82 enodes) 152.156 * * [simplify]: iters left: 3 (99 enodes) 152.188 * * [simplify]: iters left: 2 (109 enodes) 152.213 * * [simplify]: iters left: 1 (111 enodes) 152.227 * * [simplify]: Extracting #0: cost 1 inf + 0 152.227 * * [simplify]: Extracting #1: cost 9 inf + 0 152.227 * * [simplify]: Extracting #2: cost 16 inf + 1 152.227 * * [simplify]: Extracting #3: cost 24 inf + 1 152.227 * * [simplify]: Extracting #4: cost 29 inf + 63 152.227 * * [simplify]: Extracting #5: cost 27 inf + 1132 152.227 * * [simplify]: Extracting #6: cost 29 inf + 1174 152.228 * * [simplify]: Extracting #7: cost 20 inf + 1783 152.228 * * [simplify]: Extracting #8: cost 16 inf + 2229 152.229 * * [simplify]: Extracting #9: cost 6 inf + 5859 152.230 * * [simplify]: Extracting #10: cost 0 inf + 8921 152.232 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cos th))) 152.232 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 152.232 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 152.232 * * [simplify]: iters left: 6 (18 enodes) 152.237 * * [simplify]: iters left: 5 (61 enodes) 152.246 * * [simplify]: iters left: 4 (77 enodes) 152.258 * * [simplify]: iters left: 3 (98 enodes) 152.282 * * [simplify]: iters left: 2 (116 enodes) 152.316 * * [simplify]: iters left: 1 (133 enodes) 152.353 * * [simplify]: Extracting #0: cost 1 inf + 0 152.353 * * [simplify]: Extracting #1: cost 22 inf + 0 152.354 * * [simplify]: Extracting #2: cost 45 inf + 0 152.354 * * [simplify]: Extracting #3: cost 55 inf + 0 152.354 * * [simplify]: Extracting #4: cost 53 inf + 427 152.355 * * [simplify]: Extracting #5: cost 42 inf + 1740 152.357 * * [simplify]: Extracting #6: cost 24 inf + 7990 152.362 * * [simplify]: Extracting #7: cost 5 inf + 17074 152.369 * * [simplify]: Extracting #8: cost 0 inf + 19550 152.375 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 152.375 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 1)) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 152.376 * * * * [progress]: [ 361 / 2703 ] simplifiying candidate # 152.376 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 1) 152.376 * * [simplify]: iters left: 6 (19 enodes) 152.386 * * [simplify]: iters left: 5 (64 enodes) 152.406 * * [simplify]: iters left: 4 (81 enodes) 152.432 * * [simplify]: iters left: 3 (97 enodes) 152.461 * * [simplify]: iters left: 2 (106 enodes) 152.482 * * [simplify]: iters left: 1 (108 enodes) 152.496 * * [simplify]: Extracting #0: cost 1 inf + 0 152.496 * * [simplify]: Extracting #1: cost 9 inf + 0 152.496 * * [simplify]: Extracting #2: cost 16 inf + 1 152.496 * * [simplify]: Extracting #3: cost 24 inf + 1 152.496 * * [simplify]: Extracting #4: cost 28 inf + 124 152.496 * * [simplify]: Extracting #5: cost 28 inf + 950 152.496 * * [simplify]: Extracting #6: cost 29 inf + 1174 152.497 * * [simplify]: Extracting #7: cost 20 inf + 1863 152.497 * * [simplify]: Extracting #8: cost 17 inf + 2188 152.498 * * [simplify]: Extracting #9: cost 5 inf + 5921 152.499 * * [simplify]: Extracting #10: cost 1 inf + 8337 152.501 * * [simplify]: Extracting #11: cost 0 inf + 8921 152.503 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 152.503 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 152.503 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 152.503 * * [simplify]: iters left: 6 (18 enodes) 152.512 * * [simplify]: iters left: 5 (61 enodes) 152.531 * * [simplify]: iters left: 4 (77 enodes) 152.554 * * [simplify]: iters left: 3 (98 enodes) 152.584 * * [simplify]: iters left: 2 (116 enodes) 152.615 * * [simplify]: iters left: 1 (133 enodes) 152.652 * * [simplify]: Extracting #0: cost 1 inf + 0 152.652 * * [simplify]: Extracting #1: cost 22 inf + 0 152.652 * * [simplify]: Extracting #2: cost 45 inf + 0 152.653 * * [simplify]: Extracting #3: cost 55 inf + 0 152.653 * * [simplify]: Extracting #4: cost 53 inf + 427 152.653 * * [simplify]: Extracting #5: cost 42 inf + 1740 152.655 * * [simplify]: Extracting #6: cost 24 inf + 7990 152.661 * * [simplify]: Extracting #7: cost 5 inf + 17074 152.668 * * [simplify]: Extracting #8: cost 0 inf + 19550 152.674 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 152.674 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 1) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 152.675 * * * * [progress]: [ 362 / 2703 ] simplifiying candidate # 152.675 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (sqrt 2))) 152.675 * * [simplify]: iters left: 6 (18 enodes) 152.679 * * [simplify]: iters left: 5 (61 enodes) 152.690 * * [simplify]: iters left: 4 (80 enodes) 152.703 * * [simplify]: iters left: 3 (105 enodes) 152.725 * * [simplify]: iters left: 2 (116 enodes) 152.748 * * [simplify]: iters left: 1 (117 enodes) 152.763 * * [simplify]: Extracting #0: cost 1 inf + 0 152.763 * * [simplify]: Extracting #1: cost 15 inf + 0 152.763 * * [simplify]: Extracting #2: cost 31 inf + 0 152.763 * * [simplify]: Extracting #3: cost 40 inf + 0 152.763 * * [simplify]: Extracting #4: cost 41 inf + 104 152.764 * * [simplify]: Extracting #5: cost 32 inf + 2320 152.764 * * [simplify]: Extracting #6: cost 32 inf + 3306 152.765 * * [simplify]: Extracting #7: cost 27 inf + 3431 152.765 * * [simplify]: Extracting #8: cost 17 inf + 6919 152.767 * * [simplify]: Extracting #9: cost 1 inf + 14534 152.770 * * [simplify]: Extracting #10: cost 0 inf + 15158 152.775 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 152.775 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 152.776 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 152.776 * * [simplify]: iters left: 6 (19 enodes) 152.784 * * [simplify]: iters left: 5 (66 enodes) 152.797 * * [simplify]: iters left: 4 (81 enodes) 152.809 * * [simplify]: iters left: 3 (96 enodes) 152.835 * * [simplify]: iters left: 2 (124 enodes) 152.868 * * [simplify]: iters left: 1 (145 enodes) 152.890 * * [simplify]: Extracting #0: cost 1 inf + 0 152.890 * * [simplify]: Extracting #1: cost 13 inf + 0 152.891 * * [simplify]: Extracting #2: cost 26 inf + 1 152.891 * * [simplify]: Extracting #3: cost 36 inf + 1 152.891 * * [simplify]: Extracting #4: cost 44 inf + 63 152.891 * * [simplify]: Extracting #5: cost 38 inf + 672 152.892 * * [simplify]: Extracting #6: cost 20 inf + 3263 152.893 * * [simplify]: Extracting #7: cost 10 inf + 6712 152.896 * * [simplify]: Extracting #8: cost 0 inf + 11807 152.898 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (cos th))) 152.898 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (sqrt 2))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (cos th))))) 152.899 * * * * [progress]: [ 363 / 2703 ] simplifiying candidate # 152.899 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 152.899 * * [simplify]: iters left: 6 (24 enodes) 152.906 * * [simplify]: iters left: 5 (98 enodes) 152.939 * * [simplify]: iters left: 4 (180 enodes) 153.012 * * [simplify]: iters left: 3 (336 enodes) 153.143 * * [simplify]: Extracting #0: cost 1 inf + 0 153.143 * * [simplify]: Extracting #1: cost 36 inf + 0 153.144 * * [simplify]: Extracting #2: cost 71 inf + 0 153.144 * * [simplify]: Extracting #3: cost 83 inf + 0 153.145 * * [simplify]: Extracting #4: cost 115 inf + 63 153.146 * * [simplify]: Extracting #5: cost 154 inf + 1097 153.149 * * [simplify]: Extracting #6: cost 115 inf + 8978 153.156 * * [simplify]: Extracting #7: cost 60 inf + 29642 153.179 * * [simplify]: Extracting #8: cost 7 inf + 59765 153.204 * * [simplify]: Extracting #9: cost 0 inf + 63986 153.227 * [simplify]: Simplified to (/ (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* a1 a1) (* (* a1 a1) (* a1 a1))))) (/ (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (cos th)))) 153.228 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* a1 a1) (* (* a1 a1) (* a1 a1))))) (/ (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 153.228 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 153.229 * * [simplify]: iters left: 6 (23 enodes) 153.241 * * [simplify]: iters left: 5 (96 enodes) 153.275 * * [simplify]: iters left: 4 (172 enodes) 153.343 * * [simplify]: iters left: 3 (292 enodes) 153.421 * * [simplify]: iters left: 2 (422 enodes) 153.585 * * [simplify]: Extracting #0: cost 1 inf + 0 153.585 * * [simplify]: Extracting #1: cost 8 inf + 0 153.585 * * [simplify]: Extracting #2: cost 17 inf + 0 153.585 * * [simplify]: Extracting #3: cost 44 inf + 0 153.586 * * [simplify]: Extracting #4: cost 174 inf + 123 153.587 * * [simplify]: Extracting #5: cost 235 inf + 1243 153.590 * * [simplify]: Extracting #6: cost 155 inf + 13188 153.597 * * [simplify]: Extracting #7: cost 19 inf + 38737 153.607 * * [simplify]: Extracting #8: cost 1 inf + 43628 153.616 * * [simplify]: Extracting #9: cost 0 inf + 44271 153.627 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2))))) 153.627 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* a1 a1) (* (* a1 a1) (* a1 a1))))) (/ (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2))))))) 153.627 * * * * [progress]: [ 364 / 2703 ] simplifiying candidate # 153.627 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 153.627 * * [simplify]: iters left: 6 (23 enodes) 153.634 * * [simplify]: iters left: 5 (90 enodes) 153.663 * * [simplify]: iters left: 4 (146 enodes) 153.713 * * [simplify]: iters left: 3 (262 enodes) 153.817 * * [simplify]: Extracting #0: cost 1 inf + 0 153.817 * * [simplify]: Extracting #1: cost 36 inf + 0 153.817 * * [simplify]: Extracting #2: cost 71 inf + 0 153.818 * * [simplify]: Extracting #3: cost 98 inf + 0 153.819 * * [simplify]: Extracting #4: cost 153 inf + 950 153.820 * * [simplify]: Extracting #5: cost 148 inf + 3454 153.826 * * [simplify]: Extracting #6: cost 83 inf + 18545 153.843 * * [simplify]: Extracting #7: cost 13 inf + 46522 153.864 * * [simplify]: Extracting #8: cost 0 inf + 51900 153.885 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 153.885 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 153.886 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))) 153.886 * * [simplify]: iters left: 6 (19 enodes) 153.895 * * [simplify]: iters left: 5 (67 enodes) 153.915 * * [simplify]: iters left: 4 (89 enodes) 153.928 * * [simplify]: iters left: 3 (111 enodes) 153.952 * * [simplify]: iters left: 2 (152 enodes) 154.002 * * [simplify]: iters left: 1 (235 enodes) 154.079 * * [simplify]: Extracting #0: cost 1 inf + 0 154.079 * * [simplify]: Extracting #1: cost 8 inf + 0 154.079 * * [simplify]: Extracting #2: cost 17 inf + 0 154.079 * * [simplify]: Extracting #3: cost 46 inf + 0 154.079 * * [simplify]: Extracting #4: cost 85 inf + 62 154.080 * * [simplify]: Extracting #5: cost 84 inf + 448 154.082 * * [simplify]: Extracting #6: cost 36 inf + 5493 154.087 * * [simplify]: Extracting #7: cost 7 inf + 11418 154.092 * * [simplify]: Extracting #8: cost 1 inf + 14237 154.098 * * [simplify]: Extracting #9: cost 0 inf + 15021 154.104 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (* (+ a2 a1) (- a1 a2)))) (sqrt (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 154.104 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (* (+ a2 a1) (- a1 a2)))) (sqrt (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 154.105 * * * * [progress]: [ 365 / 2703 ] simplifiying candidate # 154.105 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 154.105 * * [simplify]: iters left: 6 (21 enodes) 154.116 * * [simplify]: iters left: 5 (74 enodes) 154.140 * * [simplify]: iters left: 4 (124 enodes) 154.189 * * [simplify]: iters left: 3 (283 enodes) 154.329 * * [simplify]: Extracting #0: cost 1 inf + 0 154.329 * * [simplify]: Extracting #1: cost 86 inf + 0 154.331 * * [simplify]: Extracting #2: cost 205 inf + 0 154.332 * * [simplify]: Extracting #3: cost 219 inf + 0 154.334 * * [simplify]: Extracting #4: cost 208 inf + 1917 154.336 * * [simplify]: Extracting #5: cost 206 inf + 3668 154.339 * * [simplify]: Extracting #6: cost 199 inf + 4037 154.342 * * [simplify]: Extracting #7: cost 181 inf + 11249 154.354 * * [simplify]: Extracting #8: cost 66 inf + 86399 154.378 * * [simplify]: Extracting #9: cost 2 inf + 130338 154.406 * * [simplify]: Extracting #10: cost 0 inf + 131205 154.445 * * [simplify]: Extracting #11: cost 0 inf + 131165 154.493 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 154.493 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 154.493 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 154.494 * * [simplify]: iters left: 6 (18 enodes) 154.498 * * [simplify]: iters left: 5 (59 enodes) 154.507 * * [simplify]: iters left: 4 (73 enodes) 154.518 * * [simplify]: iters left: 3 (93 enodes) 154.539 * * [simplify]: iters left: 2 (104 enodes) 154.568 * * [simplify]: iters left: 1 (123 enodes) 154.590 * * [simplify]: Extracting #0: cost 1 inf + 0 154.590 * * [simplify]: Extracting #1: cost 23 inf + 0 154.590 * * [simplify]: Extracting #2: cost 45 inf + 0 154.590 * * [simplify]: Extracting #3: cost 53 inf + 0 154.590 * * [simplify]: Extracting #4: cost 50 inf + 346 154.591 * * [simplify]: Extracting #5: cost 48 inf + 1334 154.591 * * [simplify]: Extracting #6: cost 44 inf + 1418 154.592 * * [simplify]: Extracting #7: cost 28 inf + 6078 154.594 * * [simplify]: Extracting #8: cost 7 inf + 17773 154.597 * * [simplify]: Extracting #9: cost 0 inf + 22038 154.600 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 154.600 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 154.601 * * * * [progress]: [ 366 / 2703 ] simplifiying candidate # 154.601 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 154.601 * * [simplify]: iters left: 6 (20 enodes) 154.606 * * [simplify]: iters left: 5 (69 enodes) 154.619 * * [simplify]: iters left: 4 (107 enodes) 154.643 * * [simplify]: iters left: 3 (200 enodes) 154.703 * * [simplify]: iters left: 2 (376 enodes) 154.850 * * [simplify]: Extracting #0: cost 1 inf + 0 154.851 * * [simplify]: Extracting #1: cost 62 inf + 0 154.852 * * [simplify]: Extracting #2: cost 129 inf + 0 154.853 * * [simplify]: Extracting #3: cost 138 inf + 0 154.854 * * [simplify]: Extracting #4: cost 131 inf + 1131 154.856 * * [simplify]: Extracting #5: cost 126 inf + 3366 154.857 * * [simplify]: Extracting #6: cost 123 inf + 3670 154.863 * * [simplify]: Extracting #7: cost 84 inf + 21030 154.887 * * [simplify]: Extracting #8: cost 13 inf + 62467 154.905 * * [simplify]: Extracting #9: cost 0 inf + 71739 154.925 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) 154.925 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 154.926 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 154.928 * * [simplify]: iters left: 6 (18 enodes) 154.937 * * [simplify]: iters left: 5 (59 enodes) 154.954 * * [simplify]: iters left: 4 (73 enodes) 154.976 * * [simplify]: iters left: 3 (93 enodes) 155.003 * * [simplify]: iters left: 2 (104 enodes) 155.030 * * [simplify]: iters left: 1 (123 enodes) 155.048 * * [simplify]: Extracting #0: cost 1 inf + 0 155.048 * * [simplify]: Extracting #1: cost 23 inf + 0 155.048 * * [simplify]: Extracting #2: cost 45 inf + 0 155.048 * * [simplify]: Extracting #3: cost 53 inf + 0 155.048 * * [simplify]: Extracting #4: cost 50 inf + 346 155.048 * * [simplify]: Extracting #5: cost 48 inf + 1334 155.049 * * [simplify]: Extracting #6: cost 44 inf + 1418 155.049 * * [simplify]: Extracting #7: cost 28 inf + 6038 155.052 * * [simplify]: Extracting #8: cost 7 inf + 17093 155.059 * * [simplify]: Extracting #9: cost 0 inf + 21078 155.065 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 155.065 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 155.066 * * * * [progress]: [ 367 / 2703 ] simplifiying candidate # 155.066 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 155.066 * * [simplify]: iters left: 6 (21 enodes) 155.076 * * [simplify]: iters left: 5 (76 enodes) 155.102 * * [simplify]: iters left: 4 (133 enodes) 155.143 * * [simplify]: iters left: 3 (320 enodes) 155.350 * * [simplify]: Extracting #0: cost 1 inf + 0 155.350 * * [simplify]: Extracting #1: cost 111 inf + 0 155.352 * * [simplify]: Extracting #2: cost 265 inf + 0 155.354 * * [simplify]: Extracting #3: cost 272 inf + 1 155.357 * * [simplify]: Extracting #4: cost 259 inf + 2702 155.359 * * [simplify]: Extracting #5: cost 255 inf + 4654 155.368 * * [simplify]: Extracting #6: cost 190 inf + 35243 155.418 * * [simplify]: Extracting #7: cost 40 inf + 133945 155.467 * * [simplify]: Extracting #8: cost 0 inf + 163017 155.518 * [simplify]: Simplified to (/ (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) 155.518 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 155.519 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 155.519 * * [simplify]: iters left: 6 (18 enodes) 155.528 * * [simplify]: iters left: 5 (61 enodes) 155.541 * * [simplify]: iters left: 4 (84 enodes) 155.557 * * [simplify]: iters left: 3 (129 enodes) 155.587 * * [simplify]: iters left: 2 (201 enodes) 155.631 * * [simplify]: iters left: 1 (295 enodes) 155.712 * * [simplify]: Extracting #0: cost 1 inf + 0 155.713 * * [simplify]: Extracting #1: cost 39 inf + 0 155.713 * * [simplify]: Extracting #2: cost 74 inf + 0 155.713 * * [simplify]: Extracting #3: cost 80 inf + 0 155.714 * * [simplify]: Extracting #4: cost 75 inf + 588 155.714 * * [simplify]: Extracting #5: cost 65 inf + 4651 155.717 * * [simplify]: Extracting #6: cost 59 inf + 5779 155.718 * * [simplify]: Extracting #7: cost 56 inf + 5902 155.720 * * [simplify]: Extracting #8: cost 28 inf + 18004 155.726 * * [simplify]: Extracting #9: cost 1 inf + 33597 155.740 * * [simplify]: Extracting #10: cost 0 inf + 34080 155.748 * [simplify]: Simplified to (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) 155.748 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))) 155.748 * * * * [progress]: [ 368 / 2703 ] simplifiying candidate # 155.748 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 155.748 * * [simplify]: iters left: 6 (24 enodes) 155.754 * * [simplify]: iters left: 5 (84 enodes) 155.768 * * [simplify]: iters left: 4 (134 enodes) 155.809 * * [simplify]: iters left: 3 (304 enodes) 155.928 * * [simplify]: Extracting #0: cost 1 inf + 0 155.929 * * [simplify]: Extracting #1: cost 108 inf + 0 155.930 * * [simplify]: Extracting #2: cost 265 inf + 0 155.932 * * [simplify]: Extracting #3: cost 277 inf + 0 155.934 * * [simplify]: Extracting #4: cost 265 inf + 2619 155.938 * * [simplify]: Extracting #5: cost 246 inf + 10999 155.943 * * [simplify]: Extracting #6: cost 232 inf + 15442 155.948 * * [simplify]: Extracting #7: cost 224 inf + 17378 155.965 * * [simplify]: Extracting #8: cost 155 inf + 59951 155.998 * * [simplify]: Extracting #9: cost 31 inf + 147599 156.050 * * [simplify]: Extracting #10: cost 0 inf + 171278 156.109 * * [simplify]: Extracting #11: cost 0 inf + 171198 156.170 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) 156.170 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 156.170 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 156.171 * * [simplify]: iters left: 6 (20 enodes) 156.180 * * [simplify]: iters left: 5 (67 enodes) 156.203 * * [simplify]: iters left: 4 (91 enodes) 156.233 * * [simplify]: iters left: 3 (156 enodes) 156.289 * * [simplify]: iters left: 2 (284 enodes) 156.396 * * [simplify]: iters left: 1 (471 enodes) 156.571 * * [simplify]: Extracting #0: cost 1 inf + 0 156.572 * * [simplify]: Extracting #1: cost 53 inf + 0 156.572 * * [simplify]: Extracting #2: cost 105 inf + 0 156.572 * * [simplify]: Extracting #3: cost 114 inf + 0 156.573 * * [simplify]: Extracting #4: cost 109 inf + 789 156.574 * * [simplify]: Extracting #5: cost 102 inf + 3566 156.575 * * [simplify]: Extracting #6: cost 90 inf + 6544 156.577 * * [simplify]: Extracting #7: cost 65 inf + 17078 156.582 * * [simplify]: Extracting #8: cost 37 inf + 33090 156.593 * * [simplify]: Extracting #9: cost 2 inf + 52803 156.612 * * [simplify]: Extracting #10: cost 0 inf + 54310 156.635 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 156.635 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 156.636 * * * * [progress]: [ 369 / 2703 ] simplifiying candidate # 156.636 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 156.636 * * [simplify]: iters left: 6 (22 enodes) 156.647 * * [simplify]: iters left: 5 (77 enodes) 156.673 * * [simplify]: iters left: 4 (127 enodes) 156.722 * * [simplify]: iters left: 3 (297 enodes) 156.871 * * [simplify]: Extracting #0: cost 1 inf + 0 156.871 * * [simplify]: Extracting #1: cost 109 inf + 0 156.872 * * [simplify]: Extracting #2: cost 265 inf + 0 156.874 * * [simplify]: Extracting #3: cost 275 inf + 0 156.876 * * [simplify]: Extracting #4: cost 265 inf + 2117 156.879 * * [simplify]: Extracting #5: cost 258 inf + 4693 156.883 * * [simplify]: Extracting #6: cost 237 inf + 12008 156.892 * * [simplify]: Extracting #7: cost 204 inf + 26877 156.909 * * [simplify]: Extracting #8: cost 68 inf + 114783 156.955 * * [simplify]: Extracting #9: cost 0 inf + 162878 157.013 * * [simplify]: Extracting #10: cost 0 inf + 162558 157.051 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 157.051 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 157.052 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 157.052 * * [simplify]: iters left: 6 (19 enodes) 157.057 * * [simplify]: iters left: 5 (64 enodes) 157.075 * * [simplify]: iters left: 4 (88 enodes) 157.089 * * [simplify]: iters left: 3 (153 enodes) 157.126 * * [simplify]: iters left: 2 (280 enodes) 157.214 * * [simplify]: iters left: 1 (464 enodes) 157.357 * * [simplify]: Extracting #0: cost 1 inf + 0 157.357 * * [simplify]: Extracting #1: cost 53 inf + 0 157.357 * * [simplify]: Extracting #2: cost 104 inf + 0 157.358 * * [simplify]: Extracting #3: cost 112 inf + 0 157.358 * * [simplify]: Extracting #4: cost 108 inf + 427 157.359 * * [simplify]: Extracting #5: cost 98 inf + 4168 157.360 * * [simplify]: Extracting #6: cost 88 inf + 6544 157.365 * * [simplify]: Extracting #7: cost 46 inf + 26034 157.386 * * [simplify]: Extracting #8: cost 0 inf + 50826 157.409 * [simplify]: Simplified to (/ (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 157.409 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 157.409 * * * * [progress]: [ 370 / 2703 ] simplifiying candidate # 157.410 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 157.410 * * [simplify]: iters left: 6 (23 enodes) 157.422 * * [simplify]: iters left: 5 (82 enodes) 157.444 * * [simplify]: iters left: 4 (122 enodes) 157.466 * * [simplify]: iters left: 3 (238 enodes) 157.530 * * [simplify]: Extracting #0: cost 1 inf + 0 157.530 * * [simplify]: Extracting #1: cost 74 inf + 0 157.531 * * [simplify]: Extracting #2: cost 150 inf + 1 157.531 * * [simplify]: Extracting #3: cost 159 inf + 1 157.532 * * [simplify]: Extracting #4: cost 152 inf + 1052 157.533 * * [simplify]: Extracting #5: cost 133 inf + 7810 157.535 * * [simplify]: Extracting #6: cost 113 inf + 15628 157.537 * * [simplify]: Extracting #7: cost 109 inf + 16173 157.544 * * [simplify]: Extracting #8: cost 55 inf + 45437 157.557 * * [simplify]: Extracting #9: cost 2 inf + 78664 157.579 * * [simplify]: Extracting #10: cost 0 inf + 79711 157.593 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 157.594 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 157.594 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 157.594 * * [simplify]: iters left: 6 (18 enodes) 157.600 * * [simplify]: iters left: 5 (61 enodes) 157.610 * * [simplify]: iters left: 4 (85 enodes) 157.635 * * [simplify]: iters left: 3 (150 enodes) 157.690 * * [simplify]: iters left: 2 (278 enodes) 157.784 * * [simplify]: iters left: 1 (459 enodes) 157.944 * * [simplify]: Extracting #0: cost 1 inf + 0 157.944 * * [simplify]: Extracting #1: cost 53 inf + 0 157.945 * * [simplify]: Extracting #2: cost 103 inf + 0 157.945 * * [simplify]: Extracting #3: cost 112 inf + 0 157.946 * * [simplify]: Extracting #4: cost 109 inf + 427 157.946 * * [simplify]: Extracting #5: cost 96 inf + 2725 157.951 * * [simplify]: Extracting #6: cost 31 inf + 32158 157.961 * * [simplify]: Extracting #7: cost 0 inf + 47960 157.972 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))) 157.972 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))))) 157.972 * * * * [progress]: [ 371 / 2703 ] simplifiying candidate # 157.973 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 157.973 * * [simplify]: iters left: 6 (22 enodes) 157.982 * * [simplify]: iters left: 5 (77 enodes) 158.007 * * [simplify]: iters left: 4 (127 enodes) 158.059 * * [simplify]: iters left: 3 (297 enodes) 158.212 * * [simplify]: Extracting #0: cost 1 inf + 0 158.213 * * [simplify]: Extracting #1: cost 109 inf + 0 158.214 * * [simplify]: Extracting #2: cost 265 inf + 0 158.216 * * [simplify]: Extracting #3: cost 275 inf + 0 158.219 * * [simplify]: Extracting #4: cost 265 inf + 2117 158.222 * * [simplify]: Extracting #5: cost 258 inf + 4693 158.226 * * [simplify]: Extracting #6: cost 237 inf + 12008 158.232 * * [simplify]: Extracting #7: cost 204 inf + 26877 158.251 * * [simplify]: Extracting #8: cost 68 inf + 114783 158.302 * * [simplify]: Extracting #9: cost 0 inf + 162878 158.362 * * [simplify]: Extracting #10: cost 0 inf + 162558 158.401 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 158.401 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 158.402 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 158.402 * * [simplify]: iters left: 6 (19 enodes) 158.407 * * [simplify]: iters left: 5 (64 enodes) 158.426 * * [simplify]: iters left: 4 (88 enodes) 158.449 * * [simplify]: iters left: 3 (153 enodes) 158.480 * * [simplify]: iters left: 2 (280 enodes) 158.571 * * [simplify]: iters left: 1 (464 enodes) 158.759 * * [simplify]: Extracting #0: cost 1 inf + 0 158.759 * * [simplify]: Extracting #1: cost 53 inf + 0 158.759 * * [simplify]: Extracting #2: cost 104 inf + 0 158.760 * * [simplify]: Extracting #3: cost 112 inf + 0 158.760 * * [simplify]: Extracting #4: cost 108 inf + 427 158.761 * * [simplify]: Extracting #5: cost 98 inf + 4168 158.762 * * [simplify]: Extracting #6: cost 88 inf + 6544 158.766 * * [simplify]: Extracting #7: cost 46 inf + 26034 158.777 * * [simplify]: Extracting #8: cost 0 inf + 50826 158.790 * [simplify]: Simplified to (/ (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 158.790 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 158.791 * * * * [progress]: [ 372 / 2703 ] simplifiying candidate # 158.791 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 158.791 * * [simplify]: iters left: 6 (22 enodes) 158.802 * * [simplify]: iters left: 5 (77 enodes) 158.815 * * [simplify]: iters left: 4 (119 enodes) 158.848 * * [simplify]: iters left: 3 (244 enodes) 158.963 * * [simplify]: Extracting #0: cost 1 inf + 0 158.963 * * [simplify]: Extracting #1: cost 71 inf + 0 158.964 * * [simplify]: Extracting #2: cost 148 inf + 1 158.965 * * [simplify]: Extracting #3: cost 157 inf + 1 158.965 * * [simplify]: Extracting #4: cost 149 inf + 1374 158.966 * * [simplify]: Extracting #5: cost 136 inf + 6103 158.968 * * [simplify]: Extracting #6: cost 113 inf + 14965 158.971 * * [simplify]: Extracting #7: cost 107 inf + 16475 158.982 * * [simplify]: Extracting #8: cost 55 inf + 46213 158.999 * * [simplify]: Extracting #9: cost 2 inf + 77876 159.013 * * [simplify]: Extracting #10: cost 0 inf + 79004 159.027 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 159.027 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 159.028 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 159.028 * * [simplify]: iters left: 6 (18 enodes) 159.032 * * [simplify]: iters left: 5 (61 enodes) 159.049 * * [simplify]: iters left: 4 (85 enodes) 159.077 * * [simplify]: iters left: 3 (150 enodes) 159.133 * * [simplify]: iters left: 2 (278 enodes) 159.238 * * [simplify]: iters left: 1 (459 enodes) 159.436 * * [simplify]: Extracting #0: cost 1 inf + 0 159.437 * * [simplify]: Extracting #1: cost 53 inf + 0 159.437 * * [simplify]: Extracting #2: cost 103 inf + 0 159.438 * * [simplify]: Extracting #3: cost 112 inf + 0 159.439 * * [simplify]: Extracting #4: cost 109 inf + 427 159.440 * * [simplify]: Extracting #5: cost 96 inf + 2725 159.449 * * [simplify]: Extracting #6: cost 31 inf + 32158 159.460 * * [simplify]: Extracting #7: cost 0 inf + 47960 159.470 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))) 159.470 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))))) 159.470 * * * * [progress]: [ 373 / 2703 ] simplifiying candidate # 159.471 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 159.471 * * [simplify]: iters left: 6 (23 enodes) 159.477 * * [simplify]: iters left: 5 (83 enodes) 159.502 * * [simplify]: iters left: 4 (140 enodes) 159.561 * * [simplify]: iters left: 3 (326 enodes) 159.755 * * [simplify]: Extracting #0: cost 1 inf + 0 159.755 * * [simplify]: Extracting #1: cost 111 inf + 0 159.757 * * [simplify]: Extracting #2: cost 265 inf + 0 159.759 * * [simplify]: Extracting #3: cost 274 inf + 1 159.760 * * [simplify]: Extracting #4: cost 260 inf + 2984 159.762 * * [simplify]: Extracting #5: cost 238 inf + 12910 159.765 * * [simplify]: Extracting #6: cost 223 inf + 16973 159.769 * * [simplify]: Extracting #7: cost 191 inf + 34155 159.803 * * [simplify]: Extracting #8: cost 29 inf + 146792 159.865 * * [simplify]: Extracting #9: cost 0 inf + 167581 159.910 * * [simplify]: Extracting #10: cost 0 inf + 167541 159.975 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (* (cbrt (sqrt 2)) (cbrt (fabs (cbrt 2))))) 159.975 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (* (cbrt (sqrt 2)) (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 159.976 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 159.976 * * [simplify]: iters left: 6 (20 enodes) 159.982 * * [simplify]: iters left: 5 (67 enodes) 159.993 * * [simplify]: iters left: 4 (90 enodes) 160.008 * * [simplify]: iters left: 3 (135 enodes) 160.047 * * [simplify]: iters left: 2 (207 enodes) 160.095 * * [simplify]: iters left: 1 (301 enodes) 160.184 * * [simplify]: Extracting #0: cost 1 inf + 0 160.185 * * [simplify]: Extracting #1: cost 39 inf + 0 160.185 * * [simplify]: Extracting #2: cost 75 inf + 0 160.186 * * [simplify]: Extracting #3: cost 83 inf + 0 160.186 * * [simplify]: Extracting #4: cost 76 inf + 911 160.188 * * [simplify]: Extracting #5: cost 67 inf + 4710 160.190 * * [simplify]: Extracting #6: cost 60 inf + 6862 160.192 * * [simplify]: Extracting #7: cost 56 inf + 7026 160.194 * * [simplify]: Extracting #8: cost 54 inf + 7270 160.198 * * [simplify]: Extracting #9: cost 30 inf + 19585 160.213 * * [simplify]: Extracting #10: cost 3 inf + 35594 160.228 * * [simplify]: Extracting #11: cost 0 inf + 37124 160.242 * [simplify]: Simplified to (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt (cbrt 2)))))) 160.242 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt (cbrt 2)))))))) 160.243 * * * * [progress]: [ 374 / 2703 ] simplifiying candidate # 160.243 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 160.244 * * [simplify]: iters left: 6 (26 enodes) 160.256 * * [simplify]: iters left: 5 (91 enodes) 160.271 * * [simplify]: iters left: 4 (141 enodes) 160.311 * * [simplify]: iters left: 3 (311 enodes) 160.462 * * [simplify]: Extracting #0: cost 1 inf + 0 160.462 * * [simplify]: Extracting #1: cost 110 inf + 0 160.463 * * [simplify]: Extracting #2: cost 268 inf + 0 160.464 * * [simplify]: Extracting #3: cost 282 inf + 0 160.465 * * [simplify]: Extracting #4: cost 267 inf + 3104 160.467 * * [simplify]: Extracting #5: cost 242 inf + 15016 160.471 * * [simplify]: Extracting #6: cost 202 inf + 31441 160.490 * * [simplify]: Extracting #7: cost 37 inf + 150196 160.528 * * [simplify]: Extracting #8: cost 0 inf + 179594 160.587 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt 2)) (cbrt (fabs (cbrt 2)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 160.587 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt 2)) (cbrt (fabs (cbrt 2)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 160.588 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 160.588 * * [simplify]: iters left: 6 (22 enodes) 160.599 * * [simplify]: iters left: 5 (73 enodes) 160.621 * * [simplify]: iters left: 4 (97 enodes) 160.653 * * [simplify]: iters left: 3 (162 enodes) 160.715 * * [simplify]: iters left: 2 (290 enodes) 160.826 * * [simplify]: iters left: 1 (477 enodes) 161.007 * * [simplify]: Extracting #0: cost 1 inf + 0 161.007 * * [simplify]: Extracting #1: cost 53 inf + 0 161.008 * * [simplify]: Extracting #2: cost 106 inf + 0 161.009 * * [simplify]: Extracting #3: cost 117 inf + 0 161.010 * * [simplify]: Extracting #4: cost 111 inf + 1152 161.011 * * [simplify]: Extracting #5: cost 107 inf + 2342 161.012 * * [simplify]: Extracting #6: cost 98 inf + 4294 161.018 * * [simplify]: Extracting #7: cost 62 inf + 20268 161.029 * * [simplify]: Extracting #8: cost 37 inf + 35172 161.055 * * [simplify]: Extracting #9: cost 5 inf + 55296 161.080 * * [simplify]: Extracting #10: cost 0 inf + 58674 161.104 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 161.104 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 161.105 * * * * [progress]: [ 375 / 2703 ] simplifiying candidate # 161.105 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 161.105 * * [simplify]: iters left: 6 (24 enodes) 161.117 * * [simplify]: iters left: 5 (84 enodes) 161.144 * * [simplify]: iters left: 4 (134 enodes) 161.178 * * [simplify]: iters left: 3 (304 enodes) 161.307 * * [simplify]: Extracting #0: cost 1 inf + 0 161.307 * * [simplify]: Extracting #1: cost 108 inf + 0 161.308 * * [simplify]: Extracting #2: cost 263 inf + 0 161.309 * * [simplify]: Extracting #3: cost 275 inf + 0 161.310 * * [simplify]: Extracting #4: cost 262 inf + 3203 161.313 * * [simplify]: Extracting #5: cost 243 inf + 11080 161.315 * * [simplify]: Extracting #6: cost 228 inf + 16646 161.320 * * [simplify]: Extracting #7: cost 189 inf + 37607 161.341 * * [simplify]: Extracting #8: cost 36 inf + 139015 161.377 * * [simplify]: Extracting #9: cost 0 inf + 166434 161.418 * * [simplify]: Extracting #10: cost 0 inf + 166394 161.446 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (fabs (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) 161.447 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (fabs (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 161.447 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 161.447 * * [simplify]: iters left: 6 (21 enodes) 161.454 * * [simplify]: iters left: 5 (70 enodes) 161.478 * * [simplify]: iters left: 4 (94 enodes) 161.509 * * [simplify]: iters left: 3 (159 enodes) 161.559 * * [simplify]: iters left: 2 (287 enodes) 161.651 * * [simplify]: iters left: 1 (475 enodes) 161.824 * * [simplify]: Extracting #0: cost 1 inf + 0 161.824 * * [simplify]: Extracting #1: cost 53 inf + 0 161.825 * * [simplify]: Extracting #2: cost 104 inf + 0 161.825 * * [simplify]: Extracting #3: cost 114 inf + 0 161.826 * * [simplify]: Extracting #4: cost 112 inf + 366 161.826 * * [simplify]: Extracting #5: cost 106 inf + 1919 161.827 * * [simplify]: Extracting #6: cost 97 inf + 3892 161.830 * * [simplify]: Extracting #7: cost 52 inf + 24653 161.840 * * [simplify]: Extracting #8: cost 8 inf + 50402 161.854 * * [simplify]: Extracting #9: cost 0 inf + 54648 161.878 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 161.878 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 161.878 * * * * [progress]: [ 376 / 2703 ] simplifiying candidate # 161.879 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 161.879 * * [simplify]: iters left: 6 (25 enodes) 161.891 * * [simplify]: iters left: 5 (89 enodes) 161.908 * * [simplify]: iters left: 4 (129 enodes) 161.950 * * [simplify]: iters left: 3 (245 enodes) 162.074 * * [simplify]: Extracting #0: cost 1 inf + 0 162.075 * * [simplify]: Extracting #1: cost 73 inf + 0 162.075 * * [simplify]: Extracting #2: cost 147 inf + 1 162.076 * * [simplify]: Extracting #3: cost 158 inf + 1 162.078 * * [simplify]: Extracting #4: cost 151 inf + 1354 162.080 * * [simplify]: Extracting #5: cost 139 inf + 5640 162.083 * * [simplify]: Extracting #6: cost 116 inf + 14101 162.088 * * [simplify]: Extracting #7: cost 104 inf + 17581 162.099 * * [simplify]: Extracting #8: cost 63 inf + 41183 162.124 * * [simplify]: Extracting #9: cost 3 inf + 79652 162.151 * * [simplify]: Extracting #10: cost 0 inf + 81185 162.178 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (fabs (cbrt 2))) (cbrt (sqrt 2)))) 162.178 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (fabs (cbrt 2))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 162.179 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 162.179 * * [simplify]: iters left: 6 (20 enodes) 162.192 * * [simplify]: iters left: 5 (67 enodes) 162.213 * * [simplify]: iters left: 4 (91 enodes) 162.242 * * [simplify]: iters left: 3 (156 enodes) 162.301 * * [simplify]: iters left: 2 (284 enodes) 162.402 * * [simplify]: iters left: 1 (463 enodes) 162.577 * * [simplify]: Extracting #0: cost 1 inf + 0 162.577 * * [simplify]: Extracting #1: cost 53 inf + 0 162.578 * * [simplify]: Extracting #2: cost 105 inf + 0 162.579 * * [simplify]: Extracting #3: cost 116 inf + 0 162.580 * * [simplify]: Extracting #4: cost 113 inf + 789 162.581 * * [simplify]: Extracting #5: cost 101 inf + 2224 162.589 * * [simplify]: Extracting #6: cost 48 inf + 26417 162.610 * * [simplify]: Extracting #7: cost 3 inf + 50956 162.632 * * [simplify]: Extracting #8: cost 0 inf + 52746 162.646 * [simplify]: Simplified to (/ (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))) 162.646 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (fabs (cbrt 2))) (cbrt (sqrt 2)))) (/ (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))))) 162.646 * * * * [progress]: [ 377 / 2703 ] simplifiying candidate # 162.647 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 162.647 * * [simplify]: iters left: 6 (24 enodes) 162.653 * * [simplify]: iters left: 5 (84 enodes) 162.666 * * [simplify]: iters left: 4 (134 enodes) 162.700 * * [simplify]: iters left: 3 (304 enodes) 162.818 * * [simplify]: Extracting #0: cost 1 inf + 0 162.818 * * [simplify]: Extracting #1: cost 108 inf + 0 162.819 * * [simplify]: Extracting #2: cost 263 inf + 0 162.820 * * [simplify]: Extracting #3: cost 275 inf + 0 162.821 * * [simplify]: Extracting #4: cost 262 inf + 3203 162.823 * * [simplify]: Extracting #5: cost 243 inf + 11080 162.826 * * [simplify]: Extracting #6: cost 228 inf + 16646 162.833 * * [simplify]: Extracting #7: cost 189 inf + 37607 162.855 * * [simplify]: Extracting #8: cost 36 inf + 139015 162.888 * * [simplify]: Extracting #9: cost 0 inf + 166434 162.918 * * [simplify]: Extracting #10: cost 0 inf + 166394 162.972 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (fabs (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) 162.973 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (fabs (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 162.973 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 162.973 * * [simplify]: iters left: 6 (21 enodes) 162.984 * * [simplify]: iters left: 5 (70 enodes) 162.997 * * [simplify]: iters left: 4 (94 enodes) 163.012 * * [simplify]: iters left: 3 (159 enodes) 163.072 * * [simplify]: iters left: 2 (287 enodes) 163.175 * * [simplify]: iters left: 1 (475 enodes) 163.430 * * [simplify]: Extracting #0: cost 1 inf + 0 163.430 * * [simplify]: Extracting #1: cost 53 inf + 0 163.431 * * [simplify]: Extracting #2: cost 104 inf + 0 163.431 * * [simplify]: Extracting #3: cost 114 inf + 0 163.432 * * [simplify]: Extracting #4: cost 112 inf + 366 163.432 * * [simplify]: Extracting #5: cost 106 inf + 1919 163.433 * * [simplify]: Extracting #6: cost 97 inf + 3892 163.437 * * [simplify]: Extracting #7: cost 52 inf + 24653 163.447 * * [simplify]: Extracting #8: cost 8 inf + 50402 163.459 * * [simplify]: Extracting #9: cost 0 inf + 54648 163.485 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 163.486 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 163.486 * * * * [progress]: [ 378 / 2703 ] simplifiying candidate # 163.486 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 163.487 * * [simplify]: iters left: 6 (24 enodes) 163.499 * * [simplify]: iters left: 5 (84 enodes) 163.517 * * [simplify]: iters left: 4 (126 enodes) 163.553 * * [simplify]: iters left: 3 (251 enodes) 163.691 * * [simplify]: Extracting #0: cost 1 inf + 0 163.691 * * [simplify]: Extracting #1: cost 73 inf + 0 163.692 * * [simplify]: Extracting #2: cost 149 inf + 1 163.692 * * [simplify]: Extracting #3: cost 160 inf + 1 163.693 * * [simplify]: Extracting #4: cost 156 inf + 851 163.694 * * [simplify]: Extracting #5: cost 140 inf + 5501 163.695 * * [simplify]: Extracting #6: cost 117 inf + 14103 163.698 * * [simplify]: Extracting #7: cost 107 inf + 17680 163.703 * * [simplify]: Extracting #8: cost 66 inf + 41003 163.719 * * [simplify]: Extracting #9: cost 4 inf + 79676 163.743 * * [simplify]: Extracting #10: cost 0 inf + 82432 163.757 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) 163.757 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 163.757 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 163.757 * * [simplify]: iters left: 6 (20 enodes) 163.763 * * [simplify]: iters left: 5 (67 enodes) 163.782 * * [simplify]: iters left: 4 (91 enodes) 163.813 * * [simplify]: iters left: 3 (156 enodes) 163.871 * * [simplify]: iters left: 2 (284 enodes) 163.967 * * [simplify]: iters left: 1 (463 enodes) 164.123 * * [simplify]: Extracting #0: cost 1 inf + 0 164.124 * * [simplify]: Extracting #1: cost 53 inf + 0 164.124 * * [simplify]: Extracting #2: cost 105 inf + 0 164.125 * * [simplify]: Extracting #3: cost 116 inf + 0 164.126 * * [simplify]: Extracting #4: cost 113 inf + 789 164.127 * * [simplify]: Extracting #5: cost 101 inf + 2224 164.135 * * [simplify]: Extracting #6: cost 48 inf + 26417 164.155 * * [simplify]: Extracting #7: cost 3 inf + 50956 164.171 * * [simplify]: Extracting #8: cost 0 inf + 52746 164.182 * [simplify]: Simplified to (/ (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))) 164.182 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) (/ (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))))) 164.182 * * * * [progress]: [ 379 / 2703 ] simplifiying candidate # 164.182 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 164.182 * * [simplify]: iters left: 6 (21 enodes) 164.188 * * [simplify]: iters left: 5 (76 enodes) 164.209 * * [simplify]: iters left: 4 (133 enodes) 164.262 * * [simplify]: iters left: 3 (320 enodes) 164.401 * * [simplify]: Extracting #0: cost 1 inf + 0 164.401 * * [simplify]: Extracting #1: cost 111 inf + 0 164.402 * * [simplify]: Extracting #2: cost 265 inf + 0 164.403 * * [simplify]: Extracting #3: cost 272 inf + 1 164.404 * * [simplify]: Extracting #4: cost 259 inf + 2622 164.406 * * [simplify]: Extracting #5: cost 255 inf + 4334 164.410 * * [simplify]: Extracting #6: cost 190 inf + 33483 164.452 * * [simplify]: Extracting #7: cost 40 inf + 129225 164.515 * * [simplify]: Extracting #8: cost 0 inf + 157497 164.578 * [simplify]: Simplified to (/ (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 164.579 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 164.579 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 164.579 * * [simplify]: iters left: 6 (19 enodes) 164.587 * * [simplify]: iters left: 5 (64 enodes) 164.598 * * [simplify]: iters left: 4 (87 enodes) 164.614 * * [simplify]: iters left: 3 (132 enodes) 164.654 * * [simplify]: iters left: 2 (204 enodes) 164.707 * * [simplify]: iters left: 1 (298 enodes) 164.785 * * [simplify]: Extracting #0: cost 1 inf + 0 164.785 * * [simplify]: Extracting #1: cost 39 inf + 0 164.785 * * [simplify]: Extracting #2: cost 75 inf + 0 164.786 * * [simplify]: Extracting #3: cost 82 inf + 0 164.786 * * [simplify]: Extracting #4: cost 75 inf + 650 164.787 * * [simplify]: Extracting #5: cost 62 inf + 5898 164.788 * * [simplify]: Extracting #6: cost 56 inf + 6064 164.789 * * [simplify]: Extracting #7: cost 53 inf + 6470 164.791 * * [simplify]: Extracting #8: cost 31 inf + 17076 164.801 * * [simplify]: Extracting #9: cost 4 inf + 32048 164.814 * * [simplify]: Extracting #10: cost 0 inf + 34322 164.825 * [simplify]: Simplified to (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) 164.825 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))))) 164.825 * * * * [progress]: [ 380 / 2703 ] simplifiying candidate # 164.826 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 164.826 * * [simplify]: iters left: 6 (24 enodes) 164.832 * * [simplify]: iters left: 5 (84 enodes) 164.846 * * [simplify]: iters left: 4 (134 enodes) 164.890 * * [simplify]: iters left: 3 (304 enodes) 165.033 * * [simplify]: Extracting #0: cost 1 inf + 0 165.033 * * [simplify]: Extracting #1: cost 108 inf + 0 165.034 * * [simplify]: Extracting #2: cost 265 inf + 0 165.035 * * [simplify]: Extracting #3: cost 277 inf + 0 165.036 * * [simplify]: Extracting #4: cost 265 inf + 2379 165.038 * * [simplify]: Extracting #5: cost 246 inf + 10199 165.042 * * [simplify]: Extracting #6: cost 232 inf + 14482 165.047 * * [simplify]: Extracting #7: cost 224 inf + 16258 165.063 * * [simplify]: Extracting #8: cost 155 inf + 57951 165.092 * * [simplify]: Extracting #9: cost 31 inf + 143039 165.127 * * [simplify]: Extracting #10: cost 0 inf + 166318 165.184 * * [simplify]: Extracting #11: cost 0 inf + 166238 165.236 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) 165.236 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 165.236 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 165.236 * * [simplify]: iters left: 6 (21 enodes) 165.242 * * [simplify]: iters left: 5 (70 enodes) 165.254 * * [simplify]: iters left: 4 (94 enodes) 165.269 * * [simplify]: iters left: 3 (159 enodes) 165.307 * * [simplify]: iters left: 2 (287 enodes) 165.373 * * [simplify]: iters left: 1 (471 enodes) 165.531 * * [simplify]: Extracting #0: cost 1 inf + 0 165.531 * * [simplify]: Extracting #1: cost 53 inf + 0 165.532 * * [simplify]: Extracting #2: cost 106 inf + 0 165.532 * * [simplify]: Extracting #3: cost 116 inf + 0 165.533 * * [simplify]: Extracting #4: cost 113 inf + 366 165.533 * * [simplify]: Extracting #5: cost 107 inf + 1999 165.534 * * [simplify]: Extracting #6: cost 92 inf + 5942 165.537 * * [simplify]: Extracting #7: cost 54 inf + 23994 165.548 * * [simplify]: Extracting #8: cost 6 inf + 51251 165.560 * * [simplify]: Extracting #9: cost 0 inf + 54672 165.581 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 165.581 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 165.582 * * * * [progress]: [ 381 / 2703 ] simplifiying candidate # 165.582 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 165.582 * * [simplify]: iters left: 6 (22 enodes) 165.593 * * [simplify]: iters left: 5 (77 enodes) 165.621 * * [simplify]: iters left: 4 (127 enodes) 165.668 * * [simplify]: iters left: 3 (297 enodes) 165.814 * * [simplify]: Extracting #0: cost 1 inf + 0 165.815 * * [simplify]: Extracting #1: cost 109 inf + 0 165.816 * * [simplify]: Extracting #2: cost 265 inf + 0 165.817 * * [simplify]: Extracting #3: cost 275 inf + 0 165.818 * * [simplify]: Extracting #4: cost 265 inf + 2037 165.822 * * [simplify]: Extracting #5: cost 258 inf + 4373 165.824 * * [simplify]: Extracting #6: cost 237 inf + 11208 165.827 * * [simplify]: Extracting #7: cost 204 inf + 25757 165.843 * * [simplify]: Extracting #8: cost 68 inf + 111103 165.890 * * [simplify]: Extracting #9: cost 0 inf + 157918 165.928 * * [simplify]: Extracting #10: cost 0 inf + 157598 165.970 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 165.970 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 165.971 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 165.971 * * [simplify]: iters left: 6 (20 enodes) 165.981 * * [simplify]: iters left: 5 (67 enodes) 166.002 * * [simplify]: iters left: 4 (91 enodes) 166.031 * * [simplify]: iters left: 3 (156 enodes) 166.065 * * [simplify]: iters left: 2 (284 enodes) 166.164 * * [simplify]: iters left: 1 (469 enodes) 166.370 * * [simplify]: Extracting #0: cost 1 inf + 0 166.370 * * [simplify]: Extracting #1: cost 53 inf + 0 166.370 * * [simplify]: Extracting #2: cost 105 inf + 0 166.371 * * [simplify]: Extracting #3: cost 114 inf + 0 166.371 * * [simplify]: Extracting #4: cost 108 inf + 1091 166.372 * * [simplify]: Extracting #5: cost 101 inf + 3607 166.373 * * [simplify]: Extracting #6: cost 89 inf + 6705 166.377 * * [simplify]: Extracting #7: cost 48 inf + 26374 166.396 * * [simplify]: Extracting #8: cost 4 inf + 48915 166.416 * * [simplify]: Extracting #9: cost 0 inf + 51188 166.428 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 166.428 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 166.428 * * * * [progress]: [ 382 / 2703 ] simplifiying candidate # 166.428 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 166.428 * * [simplify]: iters left: 6 (23 enodes) 166.437 * * [simplify]: iters left: 5 (82 enodes) 166.457 * * [simplify]: iters left: 4 (122 enodes) 166.498 * * [simplify]: iters left: 3 (238 enodes) 166.588 * * [simplify]: Extracting #0: cost 1 inf + 0 166.588 * * [simplify]: Extracting #1: cost 74 inf + 0 166.589 * * [simplify]: Extracting #2: cost 150 inf + 1 166.589 * * [simplify]: Extracting #3: cost 159 inf + 1 166.590 * * [simplify]: Extracting #4: cost 152 inf + 1052 166.591 * * [simplify]: Extracting #5: cost 133 inf + 7250 166.593 * * [simplify]: Extracting #6: cost 113 inf + 14668 166.595 * * [simplify]: Extracting #7: cost 109 inf + 15133 166.601 * * [simplify]: Extracting #8: cost 55 inf + 43517 166.617 * * [simplify]: Extracting #9: cost 2 inf + 75944 166.637 * * [simplify]: Extracting #10: cost 0 inf + 76991 166.650 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2))))) 166.650 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 166.651 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 166.651 * * [simplify]: iters left: 6 (19 enodes) 166.657 * * [simplify]: iters left: 5 (64 enodes) 166.675 * * [simplify]: iters left: 4 (88 enodes) 166.690 * * [simplify]: iters left: 3 (153 enodes) 166.738 * * [simplify]: iters left: 2 (280 enodes) 166.839 * * [simplify]: iters left: 1 (465 enodes) 167.009 * * [simplify]: Extracting #0: cost 1 inf + 0 167.009 * * [simplify]: Extracting #1: cost 53 inf + 0 167.010 * * [simplify]: Extracting #2: cost 105 inf + 0 167.011 * * [simplify]: Extracting #3: cost 115 inf + 0 167.011 * * [simplify]: Extracting #4: cost 111 inf + 729 167.012 * * [simplify]: Extracting #5: cost 95 inf + 3771 167.018 * * [simplify]: Extracting #6: cost 30 inf + 31561 167.031 * * [simplify]: Extracting #7: cost 0 inf + 48744 167.045 * [simplify]: Simplified to (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 167.045 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) 167.046 * * * * [progress]: [ 383 / 2703 ] simplifiying candidate # 167.046 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 167.046 * * [simplify]: iters left: 6 (22 enodes) 167.051 * * [simplify]: iters left: 5 (77 enodes) 167.066 * * [simplify]: iters left: 4 (127 enodes) 167.110 * * [simplify]: iters left: 3 (297 enodes) 167.225 * * [simplify]: Extracting #0: cost 1 inf + 0 167.225 * * [simplify]: Extracting #1: cost 109 inf + 0 167.226 * * [simplify]: Extracting #2: cost 265 inf + 0 167.227 * * [simplify]: Extracting #3: cost 275 inf + 0 167.232 * * [simplify]: Extracting #4: cost 265 inf + 2037 167.233 * * [simplify]: Extracting #5: cost 258 inf + 4373 167.235 * * [simplify]: Extracting #6: cost 237 inf + 11208 167.239 * * [simplify]: Extracting #7: cost 204 inf + 25757 167.268 * * [simplify]: Extracting #8: cost 68 inf + 111103 167.298 * * [simplify]: Extracting #9: cost 0 inf + 157918 167.346 * * [simplify]: Extracting #10: cost 0 inf + 157598 167.385 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 167.385 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 167.386 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 167.386 * * [simplify]: iters left: 6 (20 enodes) 167.391 * * [simplify]: iters left: 5 (67 enodes) 167.403 * * [simplify]: iters left: 4 (91 enodes) 167.430 * * [simplify]: iters left: 3 (156 enodes) 167.462 * * [simplify]: iters left: 2 (284 enodes) 167.550 * * [simplify]: iters left: 1 (469 enodes) 167.720 * * [simplify]: Extracting #0: cost 1 inf + 0 167.720 * * [simplify]: Extracting #1: cost 53 inf + 0 167.721 * * [simplify]: Extracting #2: cost 105 inf + 0 167.722 * * [simplify]: Extracting #3: cost 114 inf + 0 167.722 * * [simplify]: Extracting #4: cost 108 inf + 1091 167.724 * * [simplify]: Extracting #5: cost 101 inf + 3607 167.726 * * [simplify]: Extracting #6: cost 89 inf + 6705 167.733 * * [simplify]: Extracting #7: cost 48 inf + 26374 167.750 * * [simplify]: Extracting #8: cost 4 inf + 48915 167.763 * * [simplify]: Extracting #9: cost 0 inf + 51188 167.776 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 167.776 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 167.777 * * * * [progress]: [ 384 / 2703 ] simplifiying candidate # 167.777 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 167.777 * * [simplify]: iters left: 6 (22 enodes) 167.783 * * [simplify]: iters left: 5 (77 enodes) 167.808 * * [simplify]: iters left: 4 (119 enodes) 167.846 * * [simplify]: iters left: 3 (244 enodes) 167.952 * * [simplify]: Extracting #0: cost 1 inf + 0 167.952 * * [simplify]: Extracting #1: cost 71 inf + 0 167.953 * * [simplify]: Extracting #2: cost 148 inf + 1 167.954 * * [simplify]: Extracting #3: cost 157 inf + 1 167.956 * * [simplify]: Extracting #4: cost 149 inf + 1374 167.957 * * [simplify]: Extracting #5: cost 136 inf + 5783 167.961 * * [simplify]: Extracting #6: cost 113 inf + 14085 167.965 * * [simplify]: Extracting #7: cost 107 inf + 15435 167.975 * * [simplify]: Extracting #8: cost 55 inf + 44293 167.993 * * [simplify]: Extracting #9: cost 2 inf + 75156 168.008 * * [simplify]: Extracting #10: cost 0 inf + 76284 168.022 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt (sqrt 2)))) 168.022 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 168.022 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 168.022 * * [simplify]: iters left: 6 (19 enodes) 168.031 * * [simplify]: iters left: 5 (64 enodes) 168.051 * * [simplify]: iters left: 4 (88 enodes) 168.080 * * [simplify]: iters left: 3 (153 enodes) 168.140 * * [simplify]: iters left: 2 (280 enodes) 168.270 * * [simplify]: iters left: 1 (465 enodes) 168.458 * * [simplify]: Extracting #0: cost 1 inf + 0 168.458 * * [simplify]: Extracting #1: cost 53 inf + 0 168.459 * * [simplify]: Extracting #2: cost 105 inf + 0 168.460 * * [simplify]: Extracting #3: cost 115 inf + 0 168.461 * * [simplify]: Extracting #4: cost 111 inf + 729 168.462 * * [simplify]: Extracting #5: cost 95 inf + 3771 168.473 * * [simplify]: Extracting #6: cost 30 inf + 31561 168.494 * * [simplify]: Extracting #7: cost 0 inf + 48744 168.515 * [simplify]: Simplified to (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 168.515 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) 168.515 * * * * [progress]: [ 385 / 2703 ] simplifiying candidate # 168.515 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 168.516 * * [simplify]: iters left: 6 (22 enodes) 168.531 * * [simplify]: iters left: 5 (81 enodes) 168.557 * * [simplify]: iters left: 4 (140 enodes) 168.593 * * [simplify]: iters left: 3 (326 enodes) 168.757 * * [simplify]: Extracting #0: cost 1 inf + 0 168.758 * * [simplify]: Extracting #1: cost 104 inf + 0 168.758 * * [simplify]: Extracting #2: cost 203 inf + 1 168.759 * * [simplify]: Extracting #3: cost 209 inf + 2 168.761 * * [simplify]: Extracting #4: cost 194 inf + 2947 168.762 * * [simplify]: Extracting #5: cost 186 inf + 6114 168.766 * * [simplify]: Extracting #6: cost 151 inf + 19235 168.789 * * [simplify]: Extracting #7: cost 21 inf + 87532 168.830 * * [simplify]: Extracting #8: cost 0 inf + 99497 168.875 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 168.875 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 168.876 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 168.876 * * [simplify]: iters left: 6 (16 enodes) 168.884 * * [simplify]: iters left: 5 (55 enodes) 168.901 * * [simplify]: iters left: 4 (75 enodes) 168.925 * * [simplify]: iters left: 3 (109 enodes) 168.963 * * [simplify]: iters left: 2 (158 enodes) 169.015 * * [simplify]: iters left: 1 (201 enodes) 169.086 * * [simplify]: Extracting #0: cost 1 inf + 0 169.086 * * [simplify]: Extracting #1: cost 28 inf + 0 169.087 * * [simplify]: Extracting #2: cost 54 inf + 0 169.087 * * [simplify]: Extracting #3: cost 60 inf + 0 169.087 * * [simplify]: Extracting #4: cost 58 inf + 225 169.088 * * [simplify]: Extracting #5: cost 53 inf + 1656 169.089 * * [simplify]: Extracting #6: cost 43 inf + 3712 169.092 * * [simplify]: Extracting #7: cost 23 inf + 11168 169.100 * * [simplify]: Extracting #8: cost 0 inf + 22001 169.109 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 169.109 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (* (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 169.109 * * * * [progress]: [ 386 / 2703 ] simplifiying candidate # 169.110 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 169.110 * * [simplify]: iters left: 6 (25 enodes) 169.118 * * [simplify]: iters left: 5 (89 enodes) 169.134 * * [simplify]: iters left: 4 (141 enodes) 169.175 * * [simplify]: iters left: 3 (302 enodes) 169.310 * * [simplify]: Extracting #0: cost 1 inf + 0 169.310 * * [simplify]: Extracting #1: cost 108 inf + 0 169.311 * * [simplify]: Extracting #2: cost 208 inf + 1 169.312 * * [simplify]: Extracting #3: cost 217 inf + 1 169.313 * * [simplify]: Extracting #4: cost 202 inf + 2406 169.314 * * [simplify]: Extracting #5: cost 194 inf + 6133 169.317 * * [simplify]: Extracting #6: cost 165 inf + 15707 169.332 * * [simplify]: Extracting #7: cost 56 inf + 76720 169.369 * * [simplify]: Extracting #8: cost 3 inf + 107474 169.412 * * [simplify]: Extracting #9: cost 0 inf + 109567 169.454 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 169.454 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 169.454 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 169.455 * * [simplify]: iters left: 6 (19 enodes) 169.463 * * [simplify]: iters left: 5 (64 enodes) 169.481 * * [simplify]: iters left: 4 (87 enodes) 169.496 * * [simplify]: iters left: 3 (146 enodes) 169.522 * * [simplify]: iters left: 2 (240 enodes) 169.585 * * [simplify]: iters left: 1 (333 enodes) 169.680 * * [simplify]: Extracting #0: cost 1 inf + 0 169.680 * * [simplify]: Extracting #1: cost 38 inf + 0 169.680 * * [simplify]: Extracting #2: cost 75 inf + 0 169.681 * * [simplify]: Extracting #3: cost 82 inf + 0 169.681 * * [simplify]: Extracting #4: cost 78 inf + 327 169.682 * * [simplify]: Extracting #5: cost 71 inf + 2984 169.683 * * [simplify]: Extracting #6: cost 64 inf + 3753 169.685 * * [simplify]: Extracting #7: cost 45 inf + 10342 169.696 * * [simplify]: Extracting #8: cost 4 inf + 32117 169.711 * * [simplify]: Extracting #9: cost 0 inf + 34311 169.726 * [simplify]: Simplified to (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 169.726 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 169.726 * * * * [progress]: [ 387 / 2703 ] simplifiying candidate # 169.727 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 169.727 * * [simplify]: iters left: 6 (23 enodes) 169.740 * * [simplify]: iters left: 5 (82 enodes) 169.768 * * [simplify]: iters left: 4 (134 enodes) 169.813 * * [simplify]: iters left: 3 (295 enodes) 169.929 * * [simplify]: Extracting #0: cost 1 inf + 0 169.930 * * [simplify]: Extracting #1: cost 110 inf + 0 169.930 * * [simplify]: Extracting #2: cost 209 inf + 1 169.931 * * [simplify]: Extracting #3: cost 216 inf + 1 169.932 * * [simplify]: Extracting #4: cost 199 inf + 3291 169.933 * * [simplify]: Extracting #5: cost 193 inf + 6133 169.936 * * [simplify]: Extracting #6: cost 156 inf + 19814 169.950 * * [simplify]: Extracting #7: cost 51 inf + 75894 169.988 * * [simplify]: Extracting #8: cost 0 inf + 103233 170.032 * * [simplify]: Extracting #9: cost 0 inf + 103153 170.072 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 170.072 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 170.073 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 170.073 * * [simplify]: iters left: 6 (18 enodes) 170.081 * * [simplify]: iters left: 5 (61 enodes) 170.101 * * [simplify]: iters left: 4 (84 enodes) 170.129 * * [simplify]: iters left: 3 (143 enodes) 170.180 * * [simplify]: iters left: 2 (237 enodes) 170.274 * * [simplify]: iters left: 1 (330 enodes) 170.370 * * [simplify]: Extracting #0: cost 1 inf + 0 170.370 * * [simplify]: Extracting #1: cost 38 inf + 0 170.370 * * [simplify]: Extracting #2: cost 74 inf + 0 170.371 * * [simplify]: Extracting #3: cost 80 inf + 0 170.371 * * [simplify]: Extracting #4: cost 75 inf + 588 170.372 * * [simplify]: Extracting #5: cost 68 inf + 3326 170.372 * * [simplify]: Extracting #6: cost 63 inf + 3712 170.375 * * [simplify]: Extracting #7: cost 35 inf + 14672 170.381 * * [simplify]: Extracting #8: cost 3 inf + 29976 170.388 * * [simplify]: Extracting #9: cost 0 inf + 31707 170.396 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 170.397 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 170.397 * * * * [progress]: [ 388 / 2703 ] simplifiying candidate # 170.397 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt 1))) 170.398 * * [simplify]: iters left: 6 (22 enodes) 170.410 * * [simplify]: iters left: 5 (79 enodes) 170.433 * * [simplify]: iters left: 4 (119 enodes) 170.456 * * [simplify]: iters left: 3 (192 enodes) 170.521 * * [simplify]: iters left: 2 (437 enodes) 170.829 * * [simplify]: Extracting #0: cost 1 inf + 0 170.829 * * [simplify]: Extracting #1: cost 71 inf + 0 170.830 * * [simplify]: Extracting #2: cost 129 inf + 1 170.831 * * [simplify]: Extracting #3: cost 136 inf + 1 170.832 * * [simplify]: Extracting #4: cost 125 inf + 2341 170.835 * * [simplify]: Extracting #5: cost 115 inf + 5689 170.837 * * [simplify]: Extracting #6: cost 108 inf + 6519 170.839 * * [simplify]: Extracting #7: cost 102 inf + 7169 170.844 * * [simplify]: Extracting #8: cost 56 inf + 28816 170.856 * * [simplify]: Extracting #9: cost 1 inf + 55082 170.870 * * [simplify]: Extracting #10: cost 0 inf + 55747 170.896 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 170.896 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 170.896 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 170.896 * * [simplify]: iters left: 6 (17 enodes) 170.904 * * [simplify]: iters left: 5 (58 enodes) 170.922 * * [simplify]: iters left: 4 (81 enodes) 170.941 * * [simplify]: iters left: 3 (140 enodes) 170.966 * * [simplify]: iters left: 2 (234 enodes) 171.038 * * [simplify]: iters left: 1 (327 enodes) 171.163 * * [simplify]: Extracting #0: cost 1 inf + 0 171.163 * * [simplify]: Extracting #1: cost 38 inf + 0 171.164 * * [simplify]: Extracting #2: cost 74 inf + 0 171.164 * * [simplify]: Extracting #3: cost 81 inf + 0 171.164 * * [simplify]: Extracting #4: cost 78 inf + 387 171.165 * * [simplify]: Extracting #5: cost 61 inf + 3411 171.168 * * [simplify]: Extracting #6: cost 32 inf + 15722 171.174 * * [simplify]: Extracting #7: cost 1 inf + 29420 171.187 * * [simplify]: Extracting #8: cost 0 inf + 29903 171.197 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 171.197 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 171.197 * * * * [progress]: [ 389 / 2703 ] simplifiying candidate # 171.197 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 171.198 * * [simplify]: iters left: 6 (23 enodes) 171.204 * * [simplify]: iters left: 5 (82 enodes) 171.219 * * [simplify]: iters left: 4 (134 enodes) 171.268 * * [simplify]: iters left: 3 (295 enodes) 171.416 * * [simplify]: Extracting #0: cost 1 inf + 0 171.416 * * [simplify]: Extracting #1: cost 110 inf + 0 171.417 * * [simplify]: Extracting #2: cost 209 inf + 1 171.417 * * [simplify]: Extracting #3: cost 216 inf + 1 171.419 * * [simplify]: Extracting #4: cost 199 inf + 3291 171.422 * * [simplify]: Extracting #5: cost 193 inf + 6133 171.431 * * [simplify]: Extracting #6: cost 156 inf + 19814 171.446 * * [simplify]: Extracting #7: cost 51 inf + 75894 171.468 * * [simplify]: Extracting #8: cost 0 inf + 103233 171.488 * * [simplify]: Extracting #9: cost 0 inf + 103153 171.509 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 171.509 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 171.509 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 171.509 * * [simplify]: iters left: 6 (18 enodes) 171.514 * * [simplify]: iters left: 5 (61 enodes) 171.524 * * [simplify]: iters left: 4 (84 enodes) 171.539 * * [simplify]: iters left: 3 (143 enodes) 171.565 * * [simplify]: iters left: 2 (237 enodes) 171.628 * * [simplify]: iters left: 1 (330 enodes) 171.740 * * [simplify]: Extracting #0: cost 1 inf + 0 171.741 * * [simplify]: Extracting #1: cost 38 inf + 0 171.741 * * [simplify]: Extracting #2: cost 74 inf + 0 171.742 * * [simplify]: Extracting #3: cost 80 inf + 0 171.742 * * [simplify]: Extracting #4: cost 75 inf + 588 171.743 * * [simplify]: Extracting #5: cost 68 inf + 3326 171.745 * * [simplify]: Extracting #6: cost 63 inf + 3712 171.747 * * [simplify]: Extracting #7: cost 35 inf + 14672 171.754 * * [simplify]: Extracting #8: cost 3 inf + 29976 171.761 * * [simplify]: Extracting #9: cost 0 inf + 31707 171.768 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 171.768 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 171.768 * * * * [progress]: [ 390 / 2703 ] simplifiying candidate # 171.769 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) 1)) 171.769 * * [simplify]: iters left: 6 (22 enodes) 171.777 * * [simplify]: iters left: 5 (77 enodes) 171.803 * * [simplify]: iters left: 4 (108 enodes) 171.823 * * [simplify]: iters left: 3 (187 enodes) 171.887 * * [simplify]: iters left: 2 (389 enodes) 172.318 * * [simplify]: Extracting #0: cost 1 inf + 0 172.318 * * [simplify]: Extracting #1: cost 49 inf + 0 172.318 * * [simplify]: Extracting #2: cost 90 inf + 1 172.319 * * [simplify]: Extracting #3: cost 96 inf + 1 172.320 * * [simplify]: Extracting #4: cost 90 inf + 750 172.321 * * [simplify]: Extracting #5: cost 77 inf + 4821 172.322 * * [simplify]: Extracting #6: cost 71 inf + 5510 172.329 * * [simplify]: Extracting #7: cost 32 inf + 21934 172.352 * * [simplify]: Extracting #8: cost 0 inf + 39155 172.371 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 172.371 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 172.372 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 172.372 * * [simplify]: iters left: 6 (17 enodes) 172.376 * * [simplify]: iters left: 5 (58 enodes) 172.386 * * [simplify]: iters left: 4 (81 enodes) 172.399 * * [simplify]: iters left: 3 (140 enodes) 172.433 * * [simplify]: iters left: 2 (234 enodes) 172.528 * * [simplify]: iters left: 1 (327 enodes) 172.634 * * [simplify]: Extracting #0: cost 1 inf + 0 172.635 * * [simplify]: Extracting #1: cost 38 inf + 0 172.635 * * [simplify]: Extracting #2: cost 74 inf + 0 172.636 * * [simplify]: Extracting #3: cost 81 inf + 0 172.636 * * [simplify]: Extracting #4: cost 78 inf + 387 172.638 * * [simplify]: Extracting #5: cost 61 inf + 3411 172.642 * * [simplify]: Extracting #6: cost 32 inf + 15722 172.656 * * [simplify]: Extracting #7: cost 1 inf + 29420 172.669 * * [simplify]: Extracting #8: cost 0 inf + 29903 172.682 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 172.682 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 172.682 * * * * [progress]: [ 391 / 2703 ] simplifiying candidate # 172.683 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 172.683 * * [simplify]: iters left: 6 (21 enodes) 172.693 * * [simplify]: iters left: 5 (76 enodes) 172.718 * * [simplify]: iters left: 4 (133 enodes) 172.764 * * [simplify]: iters left: 3 (320 enodes) 172.909 * * [simplify]: Extracting #0: cost 1 inf + 0 172.910 * * [simplify]: Extracting #1: cost 111 inf + 0 172.912 * * [simplify]: Extracting #2: cost 265 inf + 0 172.914 * * [simplify]: Extracting #3: cost 272 inf + 1 172.916 * * [simplify]: Extracting #4: cost 259 inf + 2622 172.918 * * [simplify]: Extracting #5: cost 255 inf + 4334 172.923 * * [simplify]: Extracting #6: cost 190 inf + 33483 172.959 * * [simplify]: Extracting #7: cost 40 inf + 129225 172.996 * * [simplify]: Extracting #8: cost 0 inf + 157497 173.041 * [simplify]: Simplified to (/ (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 173.041 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 173.041 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 173.042 * * [simplify]: iters left: 6 (19 enodes) 173.047 * * [simplify]: iters left: 5 (64 enodes) 173.063 * * [simplify]: iters left: 4 (87 enodes) 173.092 * * [simplify]: iters left: 3 (132 enodes) 173.135 * * [simplify]: iters left: 2 (204 enodes) 173.209 * * [simplify]: iters left: 1 (298 enodes) 173.307 * * [simplify]: Extracting #0: cost 1 inf + 0 173.307 * * [simplify]: Extracting #1: cost 39 inf + 0 173.307 * * [simplify]: Extracting #2: cost 75 inf + 0 173.307 * * [simplify]: Extracting #3: cost 82 inf + 0 173.308 * * [simplify]: Extracting #4: cost 75 inf + 650 173.309 * * [simplify]: Extracting #5: cost 62 inf + 5898 173.309 * * [simplify]: Extracting #6: cost 56 inf + 6064 173.310 * * [simplify]: Extracting #7: cost 53 inf + 6470 173.313 * * [simplify]: Extracting #8: cost 31 inf + 17076 173.324 * * [simplify]: Extracting #9: cost 4 inf + 32048 173.338 * * [simplify]: Extracting #10: cost 0 inf + 34322 173.351 * [simplify]: Simplified to (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) 173.351 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))))) 173.351 * * * * [progress]: [ 392 / 2703 ] simplifiying candidate # 173.352 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 173.352 * * [simplify]: iters left: 6 (24 enodes) 173.363 * * [simplify]: iters left: 5 (84 enodes) 173.389 * * [simplify]: iters left: 4 (134 enodes) 173.437 * * [simplify]: iters left: 3 (304 enodes) 173.561 * * [simplify]: Extracting #0: cost 1 inf + 0 173.562 * * [simplify]: Extracting #1: cost 108 inf + 0 173.563 * * [simplify]: Extracting #2: cost 265 inf + 0 173.564 * * [simplify]: Extracting #3: cost 277 inf + 0 173.565 * * [simplify]: Extracting #4: cost 265 inf + 2379 173.567 * * [simplify]: Extracting #5: cost 246 inf + 10199 173.569 * * [simplify]: Extracting #6: cost 232 inf + 14482 173.571 * * [simplify]: Extracting #7: cost 224 inf + 16258 173.581 * * [simplify]: Extracting #8: cost 155 inf + 57951 173.626 * * [simplify]: Extracting #9: cost 31 inf + 143039 173.660 * * [simplify]: Extracting #10: cost 0 inf + 166318 173.696 * * [simplify]: Extracting #11: cost 0 inf + 166238 173.745 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) 173.745 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 173.746 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 173.746 * * [simplify]: iters left: 6 (21 enodes) 173.755 * * [simplify]: iters left: 5 (70 enodes) 173.767 * * [simplify]: iters left: 4 (94 enodes) 173.782 * * [simplify]: iters left: 3 (159 enodes) 173.831 * * [simplify]: iters left: 2 (287 enodes) 173.921 * * [simplify]: iters left: 1 (471 enodes) 174.131 * * [simplify]: Extracting #0: cost 1 inf + 0 174.131 * * [simplify]: Extracting #1: cost 53 inf + 0 174.132 * * [simplify]: Extracting #2: cost 106 inf + 0 174.133 * * [simplify]: Extracting #3: cost 116 inf + 0 174.134 * * [simplify]: Extracting #4: cost 113 inf + 366 174.135 * * [simplify]: Extracting #5: cost 107 inf + 1999 174.137 * * [simplify]: Extracting #6: cost 92 inf + 5942 174.144 * * [simplify]: Extracting #7: cost 54 inf + 23994 174.157 * * [simplify]: Extracting #8: cost 6 inf + 51251 174.169 * * [simplify]: Extracting #9: cost 0 inf + 54672 174.181 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 174.182 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 174.182 * * * * [progress]: [ 393 / 2703 ] simplifiying candidate # 174.182 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 174.182 * * [simplify]: iters left: 6 (22 enodes) 174.187 * * [simplify]: iters left: 5 (77 enodes) 174.202 * * [simplify]: iters left: 4 (127 enodes) 174.227 * * [simplify]: iters left: 3 (297 enodes) 174.342 * * [simplify]: Extracting #0: cost 1 inf + 0 174.343 * * [simplify]: Extracting #1: cost 109 inf + 0 174.344 * * [simplify]: Extracting #2: cost 265 inf + 0 174.346 * * [simplify]: Extracting #3: cost 275 inf + 0 174.350 * * [simplify]: Extracting #4: cost 265 inf + 2037 174.351 * * [simplify]: Extracting #5: cost 258 inf + 4373 174.353 * * [simplify]: Extracting #6: cost 237 inf + 11208 174.356 * * [simplify]: Extracting #7: cost 204 inf + 25757 174.372 * * [simplify]: Extracting #8: cost 68 inf + 111103 174.407 * * [simplify]: Extracting #9: cost 0 inf + 157918 174.448 * * [simplify]: Extracting #10: cost 0 inf + 157598 174.479 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 174.479 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 174.480 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 174.480 * * [simplify]: iters left: 6 (20 enodes) 174.485 * * [simplify]: iters left: 5 (67 enodes) 174.499 * * [simplify]: iters left: 4 (91 enodes) 174.513 * * [simplify]: iters left: 3 (156 enodes) 174.544 * * [simplify]: iters left: 2 (284 enodes) 174.640 * * [simplify]: iters left: 1 (469 enodes) 174.859 * * [simplify]: Extracting #0: cost 1 inf + 0 174.859 * * [simplify]: Extracting #1: cost 53 inf + 0 174.860 * * [simplify]: Extracting #2: cost 105 inf + 0 174.861 * * [simplify]: Extracting #3: cost 114 inf + 0 174.862 * * [simplify]: Extracting #4: cost 108 inf + 1091 174.863 * * [simplify]: Extracting #5: cost 101 inf + 3607 174.865 * * [simplify]: Extracting #6: cost 89 inf + 6705 174.873 * * [simplify]: Extracting #7: cost 48 inf + 26374 174.893 * * [simplify]: Extracting #8: cost 4 inf + 48915 174.916 * * [simplify]: Extracting #9: cost 0 inf + 51188 174.941 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 174.942 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 174.942 * * * * [progress]: [ 394 / 2703 ] simplifiying candidate # 174.942 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 174.943 * * [simplify]: iters left: 6 (23 enodes) 174.955 * * [simplify]: iters left: 5 (82 enodes) 174.970 * * [simplify]: iters left: 4 (122 enodes) 174.992 * * [simplify]: iters left: 3 (238 enodes) 175.086 * * [simplify]: Extracting #0: cost 1 inf + 0 175.086 * * [simplify]: Extracting #1: cost 74 inf + 0 175.087 * * [simplify]: Extracting #2: cost 150 inf + 1 175.088 * * [simplify]: Extracting #3: cost 159 inf + 1 175.089 * * [simplify]: Extracting #4: cost 152 inf + 1052 175.092 * * [simplify]: Extracting #5: cost 133 inf + 7250 175.095 * * [simplify]: Extracting #6: cost 113 inf + 14668 175.099 * * [simplify]: Extracting #7: cost 109 inf + 15133 175.105 * * [simplify]: Extracting #8: cost 55 inf + 43517 175.117 * * [simplify]: Extracting #9: cost 2 inf + 75944 175.137 * * [simplify]: Extracting #10: cost 0 inf + 76991 175.153 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2))))) 175.154 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 175.154 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 175.154 * * [simplify]: iters left: 6 (19 enodes) 175.159 * * [simplify]: iters left: 5 (64 enodes) 175.169 * * [simplify]: iters left: 4 (88 enodes) 175.191 * * [simplify]: iters left: 3 (153 enodes) 175.226 * * [simplify]: iters left: 2 (280 enodes) 175.327 * * [simplify]: iters left: 1 (465 enodes) 175.537 * * [simplify]: Extracting #0: cost 1 inf + 0 175.537 * * [simplify]: Extracting #1: cost 53 inf + 0 175.538 * * [simplify]: Extracting #2: cost 105 inf + 0 175.538 * * [simplify]: Extracting #3: cost 115 inf + 0 175.539 * * [simplify]: Extracting #4: cost 111 inf + 729 175.539 * * [simplify]: Extracting #5: cost 95 inf + 3771 175.545 * * [simplify]: Extracting #6: cost 30 inf + 31561 175.556 * * [simplify]: Extracting #7: cost 0 inf + 48744 175.575 * [simplify]: Simplified to (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 175.575 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) 175.575 * * * * [progress]: [ 395 / 2703 ] simplifiying candidate # 175.576 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 175.576 * * [simplify]: iters left: 6 (22 enodes) 175.586 * * [simplify]: iters left: 5 (77 enodes) 175.614 * * [simplify]: iters left: 4 (127 enodes) 175.647 * * [simplify]: iters left: 3 (297 enodes) 175.746 * * [simplify]: Extracting #0: cost 1 inf + 0 175.746 * * [simplify]: Extracting #1: cost 109 inf + 0 175.749 * * [simplify]: Extracting #2: cost 265 inf + 0 175.754 * * [simplify]: Extracting #3: cost 275 inf + 0 175.756 * * [simplify]: Extracting #4: cost 265 inf + 2037 175.757 * * [simplify]: Extracting #5: cost 258 inf + 4373 175.759 * * [simplify]: Extracting #6: cost 237 inf + 11208 175.763 * * [simplify]: Extracting #7: cost 204 inf + 25757 175.779 * * [simplify]: Extracting #8: cost 68 inf + 111103 175.822 * * [simplify]: Extracting #9: cost 0 inf + 157918 175.864 * * [simplify]: Extracting #10: cost 0 inf + 157598 175.892 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 175.893 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 175.893 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 175.893 * * [simplify]: iters left: 6 (20 enodes) 175.898 * * [simplify]: iters left: 5 (67 enodes) 175.909 * * [simplify]: iters left: 4 (91 enodes) 175.925 * * [simplify]: iters left: 3 (156 enodes) 175.987 * * [simplify]: iters left: 2 (284 enodes) 176.116 * * [simplify]: iters left: 1 (469 enodes) 176.307 * * [simplify]: Extracting #0: cost 1 inf + 0 176.307 * * [simplify]: Extracting #1: cost 53 inf + 0 176.308 * * [simplify]: Extracting #2: cost 105 inf + 0 176.308 * * [simplify]: Extracting #3: cost 114 inf + 0 176.309 * * [simplify]: Extracting #4: cost 108 inf + 1091 176.311 * * [simplify]: Extracting #5: cost 101 inf + 3607 176.313 * * [simplify]: Extracting #6: cost 89 inf + 6705 176.320 * * [simplify]: Extracting #7: cost 48 inf + 26374 176.334 * * [simplify]: Extracting #8: cost 4 inf + 48915 176.345 * * [simplify]: Extracting #9: cost 0 inf + 51188 176.362 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 176.362 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 176.362 * * * * [progress]: [ 396 / 2703 ] simplifiying candidate # 176.362 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 176.363 * * [simplify]: iters left: 6 (22 enodes) 176.372 * * [simplify]: iters left: 5 (77 enodes) 176.384 * * [simplify]: iters left: 4 (119 enodes) 176.414 * * [simplify]: iters left: 3 (244 enodes) 176.509 * * [simplify]: Extracting #0: cost 1 inf + 0 176.510 * * [simplify]: Extracting #1: cost 71 inf + 0 176.511 * * [simplify]: Extracting #2: cost 148 inf + 1 176.511 * * [simplify]: Extracting #3: cost 157 inf + 1 176.513 * * [simplify]: Extracting #4: cost 149 inf + 1374 176.514 * * [simplify]: Extracting #5: cost 136 inf + 5783 176.518 * * [simplify]: Extracting #6: cost 113 inf + 14085 176.522 * * [simplify]: Extracting #7: cost 107 inf + 15435 176.532 * * [simplify]: Extracting #8: cost 55 inf + 44293 176.559 * * [simplify]: Extracting #9: cost 2 inf + 75156 176.584 * * [simplify]: Extracting #10: cost 0 inf + 76284 176.610 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt (sqrt 2)))) 176.610 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 176.611 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 176.611 * * [simplify]: iters left: 6 (19 enodes) 176.620 * * [simplify]: iters left: 5 (64 enodes) 176.639 * * [simplify]: iters left: 4 (88 enodes) 176.666 * * [simplify]: iters left: 3 (153 enodes) 176.724 * * [simplify]: iters left: 2 (280 enodes) 176.829 * * [simplify]: iters left: 1 (465 enodes) 177.010 * * [simplify]: Extracting #0: cost 1 inf + 0 177.010 * * [simplify]: Extracting #1: cost 53 inf + 0 177.010 * * [simplify]: Extracting #2: cost 105 inf + 0 177.011 * * [simplify]: Extracting #3: cost 115 inf + 0 177.011 * * [simplify]: Extracting #4: cost 111 inf + 729 177.012 * * [simplify]: Extracting #5: cost 95 inf + 3771 177.017 * * [simplify]: Extracting #6: cost 30 inf + 31561 177.027 * * [simplify]: Extracting #7: cost 0 inf + 48744 177.047 * [simplify]: Simplified to (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 177.047 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) 177.047 * * * * [progress]: [ 397 / 2703 ] simplifiying candidate # 177.047 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 177.048 * * [simplify]: iters left: 6 (21 enodes) 177.062 * * [simplify]: iters left: 5 (78 enodes) 177.088 * * [simplify]: iters left: 4 (136 enodes) 177.146 * * [simplify]: iters left: 3 (335 enodes) 177.380 * * [simplify]: Extracting #0: cost 1 inf + 0 177.381 * * [simplify]: Extracting #1: cost 100 inf + 0 177.382 * * [simplify]: Extracting #2: cost 222 inf + 1 177.383 * * [simplify]: Extracting #3: cost 227 inf + 2 177.384 * * [simplify]: Extracting #4: cost 216 inf + 1920 177.386 * * [simplify]: Extracting #5: cost 206 inf + 5930 177.389 * * [simplify]: Extracting #6: cost 174 inf + 16816 177.410 * * [simplify]: Extracting #7: cost 30 inf + 94512 177.447 * * [simplify]: Extracting #8: cost 0 inf + 111577 177.490 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 177.490 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 177.490 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 177.490 * * [simplify]: iters left: 6 (16 enodes) 177.494 * * [simplify]: iters left: 5 (55 enodes) 177.504 * * [simplify]: iters left: 4 (75 enodes) 177.516 * * [simplify]: iters left: 3 (109 enodes) 177.543 * * [simplify]: iters left: 2 (158 enodes) 177.580 * * [simplify]: iters left: 1 (201 enodes) 177.626 * * [simplify]: Extracting #0: cost 1 inf + 0 177.627 * * [simplify]: Extracting #1: cost 28 inf + 0 177.628 * * [simplify]: Extracting #2: cost 54 inf + 0 177.629 * * [simplify]: Extracting #3: cost 60 inf + 0 177.629 * * [simplify]: Extracting #4: cost 58 inf + 225 177.629 * * [simplify]: Extracting #5: cost 53 inf + 1656 177.630 * * [simplify]: Extracting #6: cost 43 inf + 3712 177.631 * * [simplify]: Extracting #7: cost 23 inf + 11168 177.635 * * [simplify]: Extracting #8: cost 0 inf + 22001 177.640 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 177.640 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (* (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 177.640 * * * * [progress]: [ 398 / 2703 ] simplifiying candidate # 177.640 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 177.641 * * [simplify]: iters left: 6 (24 enodes) 177.647 * * [simplify]: iters left: 5 (86 enodes) 177.673 * * [simplify]: iters left: 4 (133 enodes) 177.709 * * [simplify]: iters left: 3 (283 enodes) 177.840 * * [simplify]: Extracting #0: cost 1 inf + 0 177.840 * * [simplify]: Extracting #1: cost 102 inf + 0 177.841 * * [simplify]: Extracting #2: cost 205 inf + 1 177.841 * * [simplify]: Extracting #3: cost 213 inf + 1 177.842 * * [simplify]: Extracting #4: cost 203 inf + 1437 177.843 * * [simplify]: Extracting #5: cost 202 inf + 2666 177.844 * * [simplify]: Extracting #6: cost 191 inf + 5409 177.846 * * [simplify]: Extracting #7: cost 183 inf + 6782 177.849 * * [simplify]: Extracting #8: cost 151 inf + 21285 177.864 * * [simplify]: Extracting #9: cost 34 inf + 88057 177.898 * * [simplify]: Extracting #10: cost 0 inf + 108863 177.919 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 177.919 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 177.920 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 177.920 * * [simplify]: iters left: 6 (19 enodes) 177.930 * * [simplify]: iters left: 5 (64 enodes) 177.951 * * [simplify]: iters left: 4 (87 enodes) 177.979 * * [simplify]: iters left: 3 (146 enodes) 178.016 * * [simplify]: iters left: 2 (240 enodes) 178.079 * * [simplify]: iters left: 1 (333 enodes) 178.186 * * [simplify]: Extracting #0: cost 1 inf + 0 178.187 * * [simplify]: Extracting #1: cost 38 inf + 0 178.187 * * [simplify]: Extracting #2: cost 75 inf + 0 178.187 * * [simplify]: Extracting #3: cost 82 inf + 0 178.187 * * [simplify]: Extracting #4: cost 78 inf + 327 178.188 * * [simplify]: Extracting #5: cost 71 inf + 2984 178.189 * * [simplify]: Extracting #6: cost 64 inf + 3753 178.190 * * [simplify]: Extracting #7: cost 45 inf + 10342 178.196 * * [simplify]: Extracting #8: cost 4 inf + 32117 178.205 * * [simplify]: Extracting #9: cost 0 inf + 34311 178.218 * [simplify]: Simplified to (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 178.218 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 178.219 * * * * [progress]: [ 399 / 2703 ] simplifiying candidate # 178.219 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 178.220 * * [simplify]: iters left: 6 (22 enodes) 178.233 * * [simplify]: iters left: 5 (79 enodes) 178.258 * * [simplify]: iters left: 4 (126 enodes) 178.305 * * [simplify]: iters left: 3 (276 enodes) 178.439 * * [simplify]: Extracting #0: cost 1 inf + 0 178.439 * * [simplify]: Extracting #1: cost 102 inf + 0 178.441 * * [simplify]: Extracting #2: cost 203 inf + 1 178.442 * * [simplify]: Extracting #3: cost 209 inf + 1 178.444 * * [simplify]: Extracting #4: cost 199 inf + 1275 178.447 * * [simplify]: Extracting #5: cost 192 inf + 4680 178.449 * * [simplify]: Extracting #6: cost 182 inf + 6216 178.454 * * [simplify]: Extracting #7: cost 155 inf + 17601 178.482 * * [simplify]: Extracting #8: cost 26 inf + 86401 178.510 * * [simplify]: Extracting #9: cost 0 inf + 100494 178.529 * * [simplify]: Extracting #10: cost 0 inf + 100414 178.556 * [simplify]: Simplified to (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 178.556 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 178.557 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 178.557 * * [simplify]: iters left: 6 (18 enodes) 178.562 * * [simplify]: iters left: 5 (61 enodes) 178.572 * * [simplify]: iters left: 4 (84 enodes) 178.588 * * [simplify]: iters left: 3 (143 enodes) 178.638 * * [simplify]: iters left: 2 (237 enodes) 178.702 * * [simplify]: iters left: 1 (330 enodes) 178.807 * * [simplify]: Extracting #0: cost 1 inf + 0 178.807 * * [simplify]: Extracting #1: cost 38 inf + 0 178.807 * * [simplify]: Extracting #2: cost 74 inf + 0 178.808 * * [simplify]: Extracting #3: cost 80 inf + 0 178.808 * * [simplify]: Extracting #4: cost 75 inf + 588 178.809 * * [simplify]: Extracting #5: cost 68 inf + 3326 178.809 * * [simplify]: Extracting #6: cost 63 inf + 3712 178.811 * * [simplify]: Extracting #7: cost 35 inf + 14672 178.818 * * [simplify]: Extracting #8: cost 3 inf + 29976 178.827 * * [simplify]: Extracting #9: cost 0 inf + 31707 178.839 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 178.839 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 178.840 * * * * [progress]: [ 400 / 2703 ] simplifiying candidate # 178.840 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt 1))) 178.840 * * [simplify]: iters left: 6 (22 enodes) 178.855 * * [simplify]: iters left: 5 (79 enodes) 178.868 * * [simplify]: iters left: 4 (110 enodes) 178.893 * * [simplify]: iters left: 3 (189 enodes) 178.990 * * [simplify]: iters left: 2 (393 enodes) 179.408 * * [simplify]: Extracting #0: cost 1 inf + 0 179.408 * * [simplify]: Extracting #1: cost 49 inf + 0 179.409 * * [simplify]: Extracting #2: cost 90 inf + 1 179.409 * * [simplify]: Extracting #3: cost 96 inf + 1 179.410 * * [simplify]: Extracting #4: cost 88 inf + 1455 179.412 * * [simplify]: Extracting #5: cost 76 inf + 4943 179.415 * * [simplify]: Extracting #6: cost 71 inf + 5510 179.421 * * [simplify]: Extracting #7: cost 41 inf + 17460 179.440 * * [simplify]: Extracting #8: cost 2 inf + 38068 179.461 * * [simplify]: Extracting #9: cost 0 inf + 39155 179.480 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 179.480 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 179.480 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 179.480 * * [simplify]: iters left: 6 (17 enodes) 179.487 * * [simplify]: iters left: 5 (58 enodes) 179.503 * * [simplify]: iters left: 4 (81 enodes) 179.531 * * [simplify]: iters left: 3 (140 enodes) 179.579 * * [simplify]: iters left: 2 (234 enodes) 179.642 * * [simplify]: iters left: 1 (327 enodes) 179.760 * * [simplify]: Extracting #0: cost 1 inf + 0 179.760 * * [simplify]: Extracting #1: cost 38 inf + 0 179.760 * * [simplify]: Extracting #2: cost 74 inf + 0 179.761 * * [simplify]: Extracting #3: cost 81 inf + 0 179.762 * * [simplify]: Extracting #4: cost 78 inf + 387 179.763 * * [simplify]: Extracting #5: cost 61 inf + 3411 179.767 * * [simplify]: Extracting #6: cost 32 inf + 15722 179.779 * * [simplify]: Extracting #7: cost 1 inf + 29420 179.793 * * [simplify]: Extracting #8: cost 0 inf + 29903 179.805 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 179.805 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 179.806 * * * * [progress]: [ 401 / 2703 ] simplifiying candidate # 179.806 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 179.807 * * [simplify]: iters left: 6 (22 enodes) 179.819 * * [simplify]: iters left: 5 (79 enodes) 179.844 * * [simplify]: iters left: 4 (126 enodes) 179.869 * * [simplify]: iters left: 3 (276 enodes) 179.996 * * [simplify]: Extracting #0: cost 1 inf + 0 179.997 * * [simplify]: Extracting #1: cost 102 inf + 0 179.997 * * [simplify]: Extracting #2: cost 203 inf + 1 179.998 * * [simplify]: Extracting #3: cost 209 inf + 1 179.999 * * [simplify]: Extracting #4: cost 199 inf + 1275 180.000 * * [simplify]: Extracting #5: cost 192 inf + 4680 180.002 * * [simplify]: Extracting #6: cost 182 inf + 6216 180.004 * * [simplify]: Extracting #7: cost 155 inf + 17601 180.022 * * [simplify]: Extracting #8: cost 26 inf + 86401 180.051 * * [simplify]: Extracting #9: cost 0 inf + 100494 180.081 * * [simplify]: Extracting #10: cost 0 inf + 100414 180.101 * [simplify]: Simplified to (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 180.101 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 180.101 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 180.101 * * [simplify]: iters left: 6 (18 enodes) 180.109 * * [simplify]: iters left: 5 (61 enodes) 180.128 * * [simplify]: iters left: 4 (84 enodes) 180.157 * * [simplify]: iters left: 3 (143 enodes) 180.185 * * [simplify]: iters left: 2 (237 enodes) 180.235 * * [simplify]: iters left: 1 (330 enodes) 180.341 * * [simplify]: Extracting #0: cost 1 inf + 0 180.341 * * [simplify]: Extracting #1: cost 38 inf + 0 180.341 * * [simplify]: Extracting #2: cost 74 inf + 0 180.342 * * [simplify]: Extracting #3: cost 80 inf + 0 180.343 * * [simplify]: Extracting #4: cost 75 inf + 588 180.344 * * [simplify]: Extracting #5: cost 68 inf + 3326 180.345 * * [simplify]: Extracting #6: cost 63 inf + 3712 180.349 * * [simplify]: Extracting #7: cost 35 inf + 14672 180.356 * * [simplify]: Extracting #8: cost 3 inf + 29976 180.363 * * [simplify]: Extracting #9: cost 0 inf + 31707 180.370 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 180.370 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 180.371 * * * * [progress]: [ 402 / 2703 ] simplifiying candidate # 180.371 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) 1)) 180.371 * * [simplify]: iters left: 6 (21 enodes) 180.378 * * [simplify]: iters left: 5 (74 enodes) 180.403 * * [simplify]: iters left: 4 (105 enodes) 180.441 * * [simplify]: iters left: 3 (184 enodes) 180.538 * * [simplify]: iters left: 2 (387 enodes) 180.928 * * [simplify]: Extracting #0: cost 1 inf + 0 180.928 * * [simplify]: Extracting #1: cost 51 inf + 0 180.929 * * [simplify]: Extracting #2: cost 92 inf + 1 180.930 * * [simplify]: Extracting #3: cost 98 inf + 1 180.931 * * [simplify]: Extracting #4: cost 89 inf + 1275 180.934 * * [simplify]: Extracting #5: cost 78 inf + 4863 180.936 * * [simplify]: Extracting #6: cost 72 inf + 5551 180.944 * * [simplify]: Extracting #7: cost 36 inf + 20864 180.967 * * [simplify]: Extracting #8: cost 1 inf + 39859 180.988 * * [simplify]: Extracting #9: cost 0 inf + 40443 181.010 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 181.010 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 181.010 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 181.011 * * [simplify]: iters left: 6 (17 enodes) 181.019 * * [simplify]: iters left: 5 (58 enodes) 181.037 * * [simplify]: iters left: 4 (81 enodes) 181.063 * * [simplify]: iters left: 3 (140 enodes) 181.116 * * [simplify]: iters left: 2 (234 enodes) 181.181 * * [simplify]: iters left: 1 (327 enodes) 181.323 * * [simplify]: Extracting #0: cost 1 inf + 0 181.323 * * [simplify]: Extracting #1: cost 38 inf + 0 181.324 * * [simplify]: Extracting #2: cost 74 inf + 0 181.324 * * [simplify]: Extracting #3: cost 81 inf + 0 181.325 * * [simplify]: Extracting #4: cost 78 inf + 387 181.326 * * [simplify]: Extracting #5: cost 61 inf + 3411 181.330 * * [simplify]: Extracting #6: cost 32 inf + 15722 181.337 * * [simplify]: Extracting #7: cost 1 inf + 29420 181.343 * * [simplify]: Extracting #8: cost 0 inf + 29903 181.350 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 181.350 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 181.350 * * * * [progress]: [ 403 / 2703 ] simplifiying candidate # 181.350 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 181.351 * * [simplify]: iters left: 6 (21 enodes) 181.356 * * [simplify]: iters left: 5 (80 enodes) 181.374 * * [simplify]: iters left: 4 (164 enodes) 181.436 * * [simplify]: Extracting #0: cost 1 inf + 0 181.436 * * [simplify]: Extracting #1: cost 64 inf + 0 181.436 * * [simplify]: Extracting #2: cost 163 inf + 0 181.437 * * [simplify]: Extracting #3: cost 177 inf + 0 181.438 * * [simplify]: Extracting #4: cost 176 inf + 586 181.439 * * [simplify]: Extracting #5: cost 175 inf + 1232 181.443 * * [simplify]: Extracting #6: cost 137 inf + 14921 181.467 * * [simplify]: Extracting #7: cost 31 inf + 77661 181.502 * * [simplify]: Extracting #8: cost 0 inf + 98755 181.537 * * [simplify]: Extracting #9: cost 0 inf + 98595 181.572 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 181.572 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 181.573 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 181.573 * * [simplify]: iters left: 6 (18 enodes) 182.016 * * [simplify]: iters left: 5 (61 enodes) 182.034 * * [simplify]: iters left: 4 (84 enodes) 182.061 * * [simplify]: iters left: 3 (129 enodes) 182.102 * * [simplify]: iters left: 2 (201 enodes) 182.158 * * [simplify]: iters left: 1 (295 enodes) 182.247 * * [simplify]: Extracting #0: cost 1 inf + 0 182.248 * * [simplify]: Extracting #1: cost 39 inf + 0 182.248 * * [simplify]: Extracting #2: cost 74 inf + 0 182.249 * * [simplify]: Extracting #3: cost 80 inf + 0 182.249 * * [simplify]: Extracting #4: cost 75 inf + 588 182.251 * * [simplify]: Extracting #5: cost 65 inf + 4651 182.252 * * [simplify]: Extracting #6: cost 59 inf + 5779 182.254 * * [simplify]: Extracting #7: cost 56 inf + 5902 182.259 * * [simplify]: Extracting #8: cost 28 inf + 18004 182.271 * * [simplify]: Extracting #9: cost 1 inf + 33597 182.284 * * [simplify]: Extracting #10: cost 0 inf + 34080 182.298 * [simplify]: Simplified to (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) 182.298 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))) 182.298 * * * * [progress]: [ 404 / 2703 ] simplifiying candidate # 182.299 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 182.299 * * [simplify]: iters left: 6 (24 enodes) 182.310 * * [simplify]: iters left: 5 (86 enodes) 182.338 * * [simplify]: iters left: 4 (148 enodes) 182.402 * * [simplify]: iters left: 3 (422 enodes) 182.658 * * [simplify]: Extracting #0: cost 1 inf + 0 182.658 * * [simplify]: Extracting #1: cost 182 inf + 0 182.660 * * [simplify]: Extracting #2: cost 460 inf + 0 182.662 * * [simplify]: Extracting #3: cost 473 inf + 0 182.665 * * [simplify]: Extracting #4: cost 436 inf + 12224 182.670 * * [simplify]: Extracting #5: cost 411 inf + 23858 182.695 * * [simplify]: Extracting #6: cost 287 inf + 100818 182.789 * * [simplify]: Extracting #7: cost 19 inf + 293114 182.873 * * [simplify]: Extracting #8: cost 0 inf + 306002 182.983 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) 182.983 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 182.984 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 182.984 * * [simplify]: iters left: 6 (20 enodes) 182.994 * * [simplify]: iters left: 5 (67 enodes) 183.011 * * [simplify]: iters left: 4 (91 enodes) 183.027 * * [simplify]: iters left: 3 (156 enodes) 183.068 * * [simplify]: iters left: 2 (284 enodes) 183.194 * * [simplify]: iters left: 1 (471 enodes) 183.396 * * [simplify]: Extracting #0: cost 1 inf + 0 183.397 * * [simplify]: Extracting #1: cost 53 inf + 0 183.397 * * [simplify]: Extracting #2: cost 105 inf + 0 183.397 * * [simplify]: Extracting #3: cost 114 inf + 0 183.398 * * [simplify]: Extracting #4: cost 109 inf + 789 183.399 * * [simplify]: Extracting #5: cost 102 inf + 3566 183.400 * * [simplify]: Extracting #6: cost 90 inf + 6544 183.402 * * [simplify]: Extracting #7: cost 65 inf + 17078 183.412 * * [simplify]: Extracting #8: cost 37 inf + 33090 183.432 * * [simplify]: Extracting #9: cost 2 inf + 52803 183.444 * * [simplify]: Extracting #10: cost 0 inf + 54310 183.455 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 183.456 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 183.456 * * * * [progress]: [ 405 / 2703 ] simplifiying candidate # 183.456 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 183.456 * * [simplify]: iters left: 6 (22 enodes) 183.461 * * [simplify]: iters left: 5 (79 enodes) 183.487 * * [simplify]: iters left: 4 (141 enodes) 183.530 * * [simplify]: iters left: 3 (415 enodes) 183.767 * * [simplify]: Extracting #0: cost 1 inf + 0 183.767 * * [simplify]: Extracting #1: cost 183 inf + 0 183.769 * * [simplify]: Extracting #2: cost 458 inf + 0 183.771 * * [simplify]: Extracting #3: cost 469 inf + 0 183.773 * * [simplify]: Extracting #4: cost 438 inf + 10355 183.777 * * [simplify]: Extracting #5: cost 411 inf + 22010 183.796 * * [simplify]: Extracting #6: cost 267 inf + 107116 183.863 * * [simplify]: Extracting #7: cost 22 inf + 273512 183.941 * * [simplify]: Extracting #8: cost 0 inf + 288234 184.038 * [simplify]: Simplified to (* (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 184.038 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 184.038 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 184.038 * * [simplify]: iters left: 6 (19 enodes) 184.043 * * [simplify]: iters left: 5 (64 enodes) 184.053 * * [simplify]: iters left: 4 (88 enodes) 184.074 * * [simplify]: iters left: 3 (153 enodes) 184.131 * * [simplify]: iters left: 2 (280 enodes) 184.237 * * [simplify]: iters left: 1 (464 enodes) 184.458 * * [simplify]: Extracting #0: cost 1 inf + 0 184.458 * * [simplify]: Extracting #1: cost 53 inf + 0 184.459 * * [simplify]: Extracting #2: cost 104 inf + 0 184.459 * * [simplify]: Extracting #3: cost 112 inf + 0 184.460 * * [simplify]: Extracting #4: cost 108 inf + 427 184.460 * * [simplify]: Extracting #5: cost 98 inf + 4168 184.461 * * [simplify]: Extracting #6: cost 88 inf + 6544 184.467 * * [simplify]: Extracting #7: cost 46 inf + 26034 184.478 * * [simplify]: Extracting #8: cost 0 inf + 50826 184.489 * [simplify]: Simplified to (/ (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 184.489 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 184.489 * * * * [progress]: [ 406 / 2703 ] simplifiying candidate # 184.489 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 184.490 * * [simplify]: iters left: 6 (23 enodes) 184.501 * * [simplify]: iters left: 5 (84 enodes) 184.528 * * [simplify]: iters left: 4 (136 enodes) 184.572 * * [simplify]: iters left: 3 (346 enodes) 184.762 * * [simplify]: Extracting #0: cost 1 inf + 0 184.762 * * [simplify]: Extracting #1: cost 129 inf + 0 184.764 * * [simplify]: Extracting #2: cost 283 inf + 1 184.766 * * [simplify]: Extracting #3: cost 293 inf + 1 184.769 * * [simplify]: Extracting #4: cost 274 inf + 4651 184.777 * * [simplify]: Extracting #5: cost 220 inf + 27447 184.787 * * [simplify]: Extracting #6: cost 208 inf + 30206 184.797 * * [simplify]: Extracting #7: cost 207 inf + 30328 184.811 * * [simplify]: Extracting #8: cost 164 inf + 54616 184.853 * * [simplify]: Extracting #9: cost 16 inf + 148306 184.885 * * [simplify]: Extracting #10: cost 0 inf + 159030 184.924 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 184.924 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 184.925 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 184.925 * * [simplify]: iters left: 6 (18 enodes) 184.933 * * [simplify]: iters left: 5 (61 enodes) 184.951 * * [simplify]: iters left: 4 (85 enodes) 184.979 * * [simplify]: iters left: 3 (150 enodes) 185.037 * * [simplify]: iters left: 2 (278 enodes) 185.132 * * [simplify]: iters left: 1 (459 enodes) 185.323 * * [simplify]: Extracting #0: cost 1 inf + 0 185.323 * * [simplify]: Extracting #1: cost 53 inf + 0 185.324 * * [simplify]: Extracting #2: cost 103 inf + 0 185.324 * * [simplify]: Extracting #3: cost 112 inf + 0 185.325 * * [simplify]: Extracting #4: cost 109 inf + 427 185.325 * * [simplify]: Extracting #5: cost 96 inf + 2725 185.330 * * [simplify]: Extracting #6: cost 31 inf + 32158 185.346 * * [simplify]: Extracting #7: cost 0 inf + 47960 185.369 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))) 185.369 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))))) 185.370 * * * * [progress]: [ 407 / 2703 ] simplifiying candidate # 185.370 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 185.371 * * [simplify]: iters left: 6 (22 enodes) 185.381 * * [simplify]: iters left: 5 (79 enodes) 185.407 * * [simplify]: iters left: 4 (141 enodes) 185.466 * * [simplify]: iters left: 3 (415 enodes) 185.790 * * [simplify]: Extracting #0: cost 1 inf + 0 185.791 * * [simplify]: Extracting #1: cost 183 inf + 0 185.792 * * [simplify]: Extracting #2: cost 458 inf + 0 185.794 * * [simplify]: Extracting #3: cost 469 inf + 0 185.797 * * [simplify]: Extracting #4: cost 438 inf + 10355 185.801 * * [simplify]: Extracting #5: cost 411 inf + 22010 185.817 * * [simplify]: Extracting #6: cost 267 inf + 107116 185.883 * * [simplify]: Extracting #7: cost 22 inf + 273512 185.965 * * [simplify]: Extracting #8: cost 0 inf + 288234 186.047 * [simplify]: Simplified to (* (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 186.047 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 186.048 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 186.048 * * [simplify]: iters left: 6 (19 enodes) 186.057 * * [simplify]: iters left: 5 (64 enodes) 186.076 * * [simplify]: iters left: 4 (88 enodes) 186.098 * * [simplify]: iters left: 3 (153 enodes) 186.136 * * [simplify]: iters left: 2 (280 enodes) 186.246 * * [simplify]: iters left: 1 (464 enodes) 186.430 * * [simplify]: Extracting #0: cost 1 inf + 0 186.430 * * [simplify]: Extracting #1: cost 53 inf + 0 186.431 * * [simplify]: Extracting #2: cost 104 inf + 0 186.431 * * [simplify]: Extracting #3: cost 112 inf + 0 186.432 * * [simplify]: Extracting #4: cost 108 inf + 427 186.434 * * [simplify]: Extracting #5: cost 98 inf + 4168 186.436 * * [simplify]: Extracting #6: cost 88 inf + 6544 186.443 * * [simplify]: Extracting #7: cost 46 inf + 26034 186.463 * * [simplify]: Extracting #8: cost 0 inf + 50826 186.478 * [simplify]: Simplified to (/ (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 186.478 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 186.478 * * * * [progress]: [ 408 / 2703 ] simplifiying candidate # 186.478 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 186.478 * * [simplify]: iters left: 6 (22 enodes) 186.484 * * [simplify]: iters left: 5 (79 enodes) 186.499 * * [simplify]: iters left: 4 (139 enodes) 186.549 * * [simplify]: iters left: 3 (368 enodes) 186.765 * * [simplify]: Extracting #0: cost 1 inf + 0 186.766 * * [simplify]: Extracting #1: cost 125 inf + 0 186.768 * * [simplify]: Extracting #2: cost 277 inf + 1 186.770 * * [simplify]: Extracting #3: cost 287 inf + 1 186.773 * * [simplify]: Extracting #4: cost 271 inf + 4168 186.780 * * [simplify]: Extracting #5: cost 219 inf + 25341 186.793 * * [simplify]: Extracting #6: cost 172 inf + 45689 186.836 * * [simplify]: Extracting #7: cost 25 inf + 137987 186.892 * * [simplify]: Extracting #8: cost 0 inf + 154928 186.931 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 186.931 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 186.931 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 186.931 * * [simplify]: iters left: 6 (18 enodes) 186.936 * * [simplify]: iters left: 5 (61 enodes) 186.952 * * [simplify]: iters left: 4 (85 enodes) 186.980 * * [simplify]: iters left: 3 (150 enodes) 187.037 * * [simplify]: iters left: 2 (278 enodes) 187.134 * * [simplify]: iters left: 1 (459 enodes) 187.294 * * [simplify]: Extracting #0: cost 1 inf + 0 187.295 * * [simplify]: Extracting #1: cost 53 inf + 0 187.295 * * [simplify]: Extracting #2: cost 103 inf + 0 187.295 * * [simplify]: Extracting #3: cost 112 inf + 0 187.296 * * [simplify]: Extracting #4: cost 109 inf + 427 187.296 * * [simplify]: Extracting #5: cost 96 inf + 2725 187.301 * * [simplify]: Extracting #6: cost 31 inf + 32158 187.320 * * [simplify]: Extracting #7: cost 0 inf + 47960 187.340 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))) 187.340 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))))) 187.341 * * * * [progress]: [ 409 / 2703 ] simplifiying candidate # 187.341 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 187.341 * * [simplify]: iters left: 6 (20 enodes) 187.351 * * [simplify]: iters left: 5 (73 enodes) 187.379 * * [simplify]: iters left: 4 (130 enodes) 187.407 * * [simplify]: iters left: 3 (319 enodes) 187.547 * * [simplify]: Extracting #0: cost 1 inf + 0 187.547 * * [simplify]: Extracting #1: cost 112 inf + 0 187.549 * * [simplify]: Extracting #2: cost 263 inf + 0 187.551 * * [simplify]: Extracting #3: cost 269 inf + 1 187.553 * * [simplify]: Extracting #4: cost 256 inf + 2802 187.558 * * [simplify]: Extracting #5: cost 233 inf + 11891 187.566 * * [simplify]: Extracting #6: cost 188 inf + 32122 187.603 * * [simplify]: Extracting #7: cost 34 inf + 128444 187.646 * * [simplify]: Extracting #8: cost 0 inf + 149471 187.688 * * [simplify]: Extracting #9: cost 0 inf + 149231 187.748 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2))))) 187.749 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 187.749 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 187.749 * * [simplify]: iters left: 6 (18 enodes) 187.760 * * [simplify]: iters left: 5 (61 enodes) 187.778 * * [simplify]: iters left: 4 (84 enodes) 187.805 * * [simplify]: iters left: 3 (129 enodes) 187.827 * * [simplify]: iters left: 2 (201 enodes) 187.882 * * [simplify]: iters left: 1 (295 enodes) 187.963 * * [simplify]: Extracting #0: cost 1 inf + 0 187.964 * * [simplify]: Extracting #1: cost 39 inf + 0 187.966 * * [simplify]: Extracting #2: cost 74 inf + 0 187.967 * * [simplify]: Extracting #3: cost 80 inf + 0 187.968 * * [simplify]: Extracting #4: cost 75 inf + 548 187.969 * * [simplify]: Extracting #5: cost 65 inf + 4291 187.971 * * [simplify]: Extracting #6: cost 59 inf + 5299 187.972 * * [simplify]: Extracting #7: cost 56 inf + 5422 187.977 * * [simplify]: Extracting #8: cost 28 inf + 17124 187.989 * * [simplify]: Extracting #9: cost 1 inf + 31957 188.004 * * [simplify]: Extracting #10: cost 0 inf + 32400 188.017 * [simplify]: Simplified to (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) 188.017 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))) 188.017 * * * * [progress]: [ 410 / 2703 ] simplifiying candidate # 188.018 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 188.018 * * [simplify]: iters left: 6 (23 enodes) 188.029 * * [simplify]: iters left: 5 (81 enodes) 188.047 * * [simplify]: iters left: 4 (131 enodes) 188.081 * * [simplify]: iters left: 3 (301 enodes) 188.197 * * [simplify]: Extracting #0: cost 1 inf + 0 188.197 * * [simplify]: Extracting #1: cost 108 inf + 0 188.198 * * [simplify]: Extracting #2: cost 264 inf + 0 188.199 * * [simplify]: Extracting #3: cost 275 inf + 0 188.200 * * [simplify]: Extracting #4: cost 262 inf + 2459 188.202 * * [simplify]: Extracting #5: cost 241 inf + 10966 188.206 * * [simplify]: Extracting #6: cost 202 inf + 25988 188.223 * * [simplify]: Extracting #7: cost 146 inf + 59068 188.249 * * [simplify]: Extracting #8: cost 55 inf + 118709 188.297 * * [simplify]: Extracting #9: cost 7 inf + 153009 188.339 * * [simplify]: Extracting #10: cost 0 inf + 158396 188.381 * [simplify]: Simplified to (/ (/ (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) 188.381 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 188.382 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 188.382 * * [simplify]: iters left: 6 (20 enodes) 188.387 * * [simplify]: iters left: 5 (67 enodes) 188.398 * * [simplify]: iters left: 4 (91 enodes) 188.419 * * [simplify]: iters left: 3 (156 enodes) 188.468 * * [simplify]: iters left: 2 (284 enodes) 188.578 * * [simplify]: iters left: 1 (471 enodes) 188.832 * * [simplify]: Extracting #0: cost 1 inf + 0 188.832 * * [simplify]: Extracting #1: cost 53 inf + 0 188.833 * * [simplify]: Extracting #2: cost 105 inf + 0 188.834 * * [simplify]: Extracting #3: cost 114 inf + 0 188.835 * * [simplify]: Extracting #4: cost 109 inf + 789 188.836 * * [simplify]: Extracting #5: cost 102 inf + 3366 188.838 * * [simplify]: Extracting #6: cost 90 inf + 6024 188.843 * * [simplify]: Extracting #7: cost 65 inf + 16158 188.854 * * [simplify]: Extracting #8: cost 37 inf + 31410 188.865 * * [simplify]: Extracting #9: cost 2 inf + 50443 188.877 * * [simplify]: Extracting #10: cost 0 inf + 51870 188.895 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 188.895 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 188.895 * * * * [progress]: [ 411 / 2703 ] simplifiying candidate # 188.896 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 188.896 * * [simplify]: iters left: 6 (21 enodes) 188.906 * * [simplify]: iters left: 5 (74 enodes) 188.928 * * [simplify]: iters left: 4 (124 enodes) 188.954 * * [simplify]: iters left: 3 (294 enodes) 189.071 * * [simplify]: Extracting #0: cost 1 inf + 0 189.072 * * [simplify]: Extracting #1: cost 108 inf + 0 189.074 * * [simplify]: Extracting #2: cost 262 inf + 0 189.075 * * [simplify]: Extracting #3: cost 271 inf + 0 189.076 * * [simplify]: Extracting #4: cost 253 inf + 4150 189.078 * * [simplify]: Extracting #5: cost 235 inf + 11850 189.082 * * [simplify]: Extracting #6: cost 198 inf + 26613 189.102 * * [simplify]: Extracting #7: cost 76 inf + 99308 189.128 * * [simplify]: Extracting #8: cost 3 inf + 146057 189.164 * * [simplify]: Extracting #9: cost 0 inf + 148028 189.203 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 189.203 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 189.204 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 189.204 * * [simplify]: iters left: 6 (19 enodes) 189.215 * * [simplify]: iters left: 5 (64 enodes) 189.227 * * [simplify]: iters left: 4 (88 enodes) 189.241 * * [simplify]: iters left: 3 (153 enodes) 189.283 * * [simplify]: iters left: 2 (280 enodes) 189.377 * * [simplify]: iters left: 1 (464 enodes) 189.574 * * [simplify]: Extracting #0: cost 1 inf + 0 189.574 * * [simplify]: Extracting #1: cost 53 inf + 0 189.575 * * [simplify]: Extracting #2: cost 104 inf + 0 189.575 * * [simplify]: Extracting #3: cost 112 inf + 0 189.576 * * [simplify]: Extracting #4: cost 108 inf + 427 189.578 * * [simplify]: Extracting #5: cost 98 inf + 3848 189.580 * * [simplify]: Extracting #6: cost 88 inf + 6024 189.588 * * [simplify]: Extracting #7: cost 46 inf + 24674 189.599 * * [simplify]: Extracting #8: cost 0 inf + 48386 189.611 * [simplify]: Simplified to (/ (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 189.611 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 189.611 * * * * [progress]: [ 412 / 2703 ] simplifiying candidate # 189.611 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 189.611 * * [simplify]: iters left: 6 (22 enodes) 189.618 * * [simplify]: iters left: 5 (79 enodes) 189.634 * * [simplify]: iters left: 4 (119 enodes) 189.679 * * [simplify]: iters left: 3 (235 enodes) 189.767 * * [simplify]: Extracting #0: cost 1 inf + 0 189.767 * * [simplify]: Extracting #1: cost 74 inf + 0 189.768 * * [simplify]: Extracting #2: cost 146 inf + 1 189.768 * * [simplify]: Extracting #3: cost 154 inf + 1 189.769 * * [simplify]: Extracting #4: cost 148 inf + 851 189.770 * * [simplify]: Extracting #5: cost 133 inf + 6303 189.772 * * [simplify]: Extracting #6: cost 112 inf + 12602 189.774 * * [simplify]: Extracting #7: cost 107 inf + 13529 189.776 * * [simplify]: Extracting #8: cost 103 inf + 14097 189.781 * * [simplify]: Extracting #9: cost 52 inf + 42016 189.797 * * [simplify]: Extracting #10: cost 4 inf + 70084 189.823 * * [simplify]: Extracting #11: cost 0 inf + 72219 189.849 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2))))) 189.849 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 189.850 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 189.850 * * [simplify]: iters left: 6 (18 enodes) 189.858 * * [simplify]: iters left: 5 (61 enodes) 189.877 * * [simplify]: iters left: 4 (85 enodes) 189.902 * * [simplify]: iters left: 3 (150 enodes) 189.938 * * [simplify]: iters left: 2 (278 enodes) 190.011 * * [simplify]: iters left: 1 (459 enodes) 190.197 * * [simplify]: Extracting #0: cost 1 inf + 0 190.197 * * [simplify]: Extracting #1: cost 53 inf + 0 190.198 * * [simplify]: Extracting #2: cost 103 inf + 0 190.200 * * [simplify]: Extracting #3: cost 112 inf + 0 190.201 * * [simplify]: Extracting #4: cost 109 inf + 427 190.201 * * [simplify]: Extracting #5: cost 96 inf + 2605 190.206 * * [simplify]: Extracting #6: cost 31 inf + 30598 190.216 * * [simplify]: Extracting #7: cost 0 inf + 45560 190.227 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))) 190.228 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))))) 190.228 * * * * [progress]: [ 413 / 2703 ] simplifiying candidate # 190.228 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 190.229 * * [simplify]: iters left: 6 (21 enodes) 190.239 * * [simplify]: iters left: 5 (74 enodes) 190.262 * * [simplify]: iters left: 4 (124 enodes) 190.309 * * [simplify]: iters left: 3 (294 enodes) 190.432 * * [simplify]: Extracting #0: cost 1 inf + 0 190.432 * * [simplify]: Extracting #1: cost 108 inf + 0 190.433 * * [simplify]: Extracting #2: cost 262 inf + 0 190.434 * * [simplify]: Extracting #3: cost 271 inf + 0 190.435 * * [simplify]: Extracting #4: cost 253 inf + 4150 190.437 * * [simplify]: Extracting #5: cost 235 inf + 11850 190.440 * * [simplify]: Extracting #6: cost 198 inf + 26613 190.459 * * [simplify]: Extracting #7: cost 76 inf + 99308 190.512 * * [simplify]: Extracting #8: cost 3 inf + 146057 190.541 * * [simplify]: Extracting #9: cost 0 inf + 148028 190.581 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 190.581 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 190.581 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 190.581 * * [simplify]: iters left: 6 (19 enodes) 190.586 * * [simplify]: iters left: 5 (64 enodes) 190.598 * * [simplify]: iters left: 4 (88 enodes) 190.627 * * [simplify]: iters left: 3 (153 enodes) 190.682 * * [simplify]: iters left: 2 (280 enodes) 190.763 * * [simplify]: iters left: 1 (464 enodes) 190.925 * * [simplify]: Extracting #0: cost 1 inf + 0 190.925 * * [simplify]: Extracting #1: cost 53 inf + 0 190.926 * * [simplify]: Extracting #2: cost 104 inf + 0 190.927 * * [simplify]: Extracting #3: cost 112 inf + 0 190.928 * * [simplify]: Extracting #4: cost 108 inf + 427 190.929 * * [simplify]: Extracting #5: cost 98 inf + 3848 190.931 * * [simplify]: Extracting #6: cost 88 inf + 6024 190.939 * * [simplify]: Extracting #7: cost 46 inf + 24674 190.962 * * [simplify]: Extracting #8: cost 0 inf + 48386 190.984 * [simplify]: Simplified to (/ (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 190.984 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 190.984 * * * * [progress]: [ 414 / 2703 ] simplifiying candidate # 190.985 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) 1)) 190.985 * * [simplify]: iters left: 6 (21 enodes) 190.995 * * [simplify]: iters left: 5 (74 enodes) 191.009 * * [simplify]: iters left: 4 (116 enodes) 191.031 * * [simplify]: iters left: 3 (241 enodes) 191.104 * * [simplify]: Extracting #0: cost 1 inf + 0 191.104 * * [simplify]: Extracting #1: cost 72 inf + 0 191.105 * * [simplify]: Extracting #2: cost 147 inf + 1 191.106 * * [simplify]: Extracting #3: cost 155 inf + 1 191.108 * * [simplify]: Extracting #4: cost 145 inf + 1476 191.109 * * [simplify]: Extracting #5: cost 138 inf + 4656 191.112 * * [simplify]: Extracting #6: cost 111 inf + 13027 191.117 * * [simplify]: Extracting #7: cost 107 inf + 13993 191.132 * * [simplify]: Extracting #8: cost 47 inf + 44978 191.157 * * [simplify]: Extracting #9: cost 1 inf + 72018 191.182 * * [simplify]: Extracting #10: cost 0 inf + 72602 191.207 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (cbrt (sqrt 2)))) 191.207 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 191.208 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 191.208 * * [simplify]: iters left: 6 (18 enodes) 191.217 * * [simplify]: iters left: 5 (61 enodes) 191.233 * * [simplify]: iters left: 4 (85 enodes) 191.247 * * [simplify]: iters left: 3 (150 enodes) 191.285 * * [simplify]: iters left: 2 (278 enodes) 191.365 * * [simplify]: iters left: 1 (459 enodes) 191.542 * * [simplify]: Extracting #0: cost 1 inf + 0 191.542 * * [simplify]: Extracting #1: cost 53 inf + 0 191.542 * * [simplify]: Extracting #2: cost 103 inf + 0 191.543 * * [simplify]: Extracting #3: cost 112 inf + 0 191.543 * * [simplify]: Extracting #4: cost 109 inf + 427 191.544 * * [simplify]: Extracting #5: cost 96 inf + 2605 191.548 * * [simplify]: Extracting #6: cost 31 inf + 30598 191.567 * * [simplify]: Extracting #7: cost 0 inf + 45560 191.590 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))) 191.590 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) 1)) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))))) 191.591 * * * * [progress]: [ 415 / 2703 ] simplifiying candidate # 191.591 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 191.591 * * [simplify]: iters left: 6 (20 enodes) 191.602 * * [simplify]: iters left: 5 (75 enodes) 191.627 * * [simplify]: iters left: 4 (130 enodes) 191.682 * * [simplify]: iters left: 3 (316 enodes) 191.936 * * [simplify]: Extracting #0: cost 1 inf + 0 191.936 * * [simplify]: Extracting #1: cost 96 inf + 0 191.937 * * [simplify]: Extracting #2: cost 195 inf + 1 191.938 * * [simplify]: Extracting #3: cost 200 inf + 2 191.939 * * [simplify]: Extracting #4: cost 189 inf + 1739 191.941 * * [simplify]: Extracting #5: cost 178 inf + 6394 191.942 * * [simplify]: Extracting #6: cost 169 inf + 7327 191.945 * * [simplify]: Extracting #7: cost 139 inf + 21367 191.962 * * [simplify]: Extracting #8: cost 33 inf + 79569 191.989 * * [simplify]: Extracting #9: cost 0 inf + 96950 192.014 * * [simplify]: Extracting #10: cost 0 inf + 96870 192.037 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 192.038 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 192.038 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 192.038 * * [simplify]: iters left: 6 (16 enodes) 192.043 * * [simplify]: iters left: 5 (55 enodes) 192.057 * * [simplify]: iters left: 4 (75 enodes) 192.083 * * [simplify]: iters left: 3 (109 enodes) 192.100 * * [simplify]: iters left: 2 (158 enodes) 192.136 * * [simplify]: iters left: 1 (201 enodes) 192.179 * * [simplify]: Extracting #0: cost 1 inf + 0 192.179 * * [simplify]: Extracting #1: cost 28 inf + 0 192.180 * * [simplify]: Extracting #2: cost 54 inf + 0 192.180 * * [simplify]: Extracting #3: cost 60 inf + 0 192.180 * * [simplify]: Extracting #4: cost 58 inf + 225 192.180 * * [simplify]: Extracting #5: cost 53 inf + 1656 192.181 * * [simplify]: Extracting #6: cost 43 inf + 3712 192.183 * * [simplify]: Extracting #7: cost 23 inf + 11168 192.187 * * [simplify]: Extracting #8: cost 0 inf + 22001 192.196 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 192.196 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (cos th)) (* (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 192.196 * * * * [progress]: [ 416 / 2703 ] simplifiying candidate # 192.197 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 192.197 * * [simplify]: iters left: 6 (23 enodes) 192.209 * * [simplify]: iters left: 5 (83 enodes) 192.223 * * [simplify]: iters left: 4 (131 enodes) 192.258 * * [simplify]: iters left: 3 (285 enodes) 192.433 * * [simplify]: Extracting #0: cost 1 inf + 0 192.433 * * [simplify]: Extracting #1: cost 102 inf + 0 192.435 * * [simplify]: Extracting #2: cost 209 inf + 1 192.436 * * [simplify]: Extracting #3: cost 217 inf + 1 192.438 * * [simplify]: Extracting #4: cost 207 inf + 1677 192.440 * * [simplify]: Extracting #5: cost 195 inf + 6394 192.444 * * [simplify]: Extracting #6: cost 177 inf + 10512 192.455 * * [simplify]: Extracting #7: cost 127 inf + 34880 192.487 * * [simplify]: Extracting #8: cost 32 inf + 90288 192.530 * * [simplify]: Extracting #9: cost 0 inf + 110513 192.570 * * [simplify]: Extracting #10: cost 0 inf + 110353 192.610 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 192.610 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 192.611 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 192.611 * * [simplify]: iters left: 6 (19 enodes) 192.621 * * [simplify]: iters left: 5 (64 enodes) 192.641 * * [simplify]: iters left: 4 (87 enodes) 192.658 * * [simplify]: iters left: 3 (146 enodes) 192.693 * * [simplify]: iters left: 2 (240 enodes) 192.789 * * [simplify]: iters left: 1 (333 enodes) 192.914 * * [simplify]: Extracting #0: cost 1 inf + 0 192.914 * * [simplify]: Extracting #1: cost 38 inf + 0 192.914 * * [simplify]: Extracting #2: cost 75 inf + 0 192.914 * * [simplify]: Extracting #3: cost 82 inf + 0 192.915 * * [simplify]: Extracting #4: cost 78 inf + 327 192.915 * * [simplify]: Extracting #5: cost 71 inf + 2984 192.916 * * [simplify]: Extracting #6: cost 64 inf + 3753 192.917 * * [simplify]: Extracting #7: cost 45 inf + 10342 192.924 * * [simplify]: Extracting #8: cost 4 inf + 32117 192.938 * * [simplify]: Extracting #9: cost 0 inf + 34311 192.953 * [simplify]: Simplified to (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 192.953 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 192.953 * * * * [progress]: [ 417 / 2703 ] simplifiying candidate # 192.954 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 192.954 * * [simplify]: iters left: 6 (21 enodes) 192.965 * * [simplify]: iters left: 5 (76 enodes) 192.980 * * [simplify]: iters left: 4 (124 enodes) 193.007 * * [simplify]: iters left: 3 (278 enodes) 193.118 * * [simplify]: Extracting #0: cost 1 inf + 0 193.118 * * [simplify]: Extracting #1: cost 105 inf + 0 193.119 * * [simplify]: Extracting #2: cost 213 inf + 1 193.120 * * [simplify]: Extracting #3: cost 219 inf + 1 193.121 * * [simplify]: Extracting #4: cost 208 inf + 1840 193.122 * * [simplify]: Extracting #5: cost 197 inf + 6232 193.125 * * [simplify]: Extracting #6: cost 167 inf + 16893 193.141 * * [simplify]: Extracting #7: cost 60 inf + 73104 193.164 * * [simplify]: Extracting #8: cost 1 inf + 105166 193.185 * * [simplify]: Extracting #9: cost 0 inf + 105610 193.224 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 193.224 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 193.224 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 193.225 * * [simplify]: iters left: 6 (18 enodes) 193.233 * * [simplify]: iters left: 5 (61 enodes) 193.252 * * [simplify]: iters left: 4 (84 enodes) 193.282 * * [simplify]: iters left: 3 (143 enodes) 193.322 * * [simplify]: iters left: 2 (237 enodes) 193.371 * * [simplify]: iters left: 1 (330 enodes) 193.463 * * [simplify]: Extracting #0: cost 1 inf + 0 193.463 * * [simplify]: Extracting #1: cost 38 inf + 0 193.464 * * [simplify]: Extracting #2: cost 74 inf + 0 193.464 * * [simplify]: Extracting #3: cost 80 inf + 0 193.464 * * [simplify]: Extracting #4: cost 75 inf + 588 193.465 * * [simplify]: Extracting #5: cost 68 inf + 3326 193.465 * * [simplify]: Extracting #6: cost 63 inf + 3712 193.468 * * [simplify]: Extracting #7: cost 35 inf + 14672 193.474 * * [simplify]: Extracting #8: cost 3 inf + 29976 193.481 * * [simplify]: Extracting #9: cost 0 inf + 31707 193.488 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 193.488 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 193.488 * * * * [progress]: [ 418 / 2703 ] simplifiying candidate # 193.489 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt 1))) 193.489 * * [simplify]: iters left: 6 (21 enodes) 193.495 * * [simplify]: iters left: 5 (76 enodes) 193.511 * * [simplify]: iters left: 4 (116 enodes) 193.557 * * [simplify]: iters left: 3 (210 enodes) 193.664 * * [simplify]: iters left: 2 (462 enodes) 194.207 * * [simplify]: Extracting #0: cost 1 inf + 0 194.207 * * [simplify]: Extracting #1: cost 47 inf + 0 194.207 * * [simplify]: Extracting #2: cost 89 inf + 1 194.208 * * [simplify]: Extracting #3: cost 95 inf + 1 194.208 * * [simplify]: Extracting #4: cost 87 inf + 1515 194.209 * * [simplify]: Extracting #5: cost 76 inf + 4921 194.211 * * [simplify]: Extracting #6: cost 69 inf + 5551 194.215 * * [simplify]: Extracting #7: cost 33 inf + 20843 194.225 * * [simplify]: Extracting #8: cost 2 inf + 37824 194.239 * * [simplify]: Extracting #9: cost 0 inf + 38490 194.260 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 194.261 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 194.261 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 194.261 * * [simplify]: iters left: 6 (17 enodes) 194.270 * * [simplify]: iters left: 5 (58 enodes) 194.288 * * [simplify]: iters left: 4 (81 enodes) 194.314 * * [simplify]: iters left: 3 (140 enodes) 194.368 * * [simplify]: iters left: 2 (234 enodes) 194.441 * * [simplify]: iters left: 1 (327 enodes) 194.512 * * [simplify]: Extracting #0: cost 1 inf + 0 194.512 * * [simplify]: Extracting #1: cost 38 inf + 0 194.513 * * [simplify]: Extracting #2: cost 74 inf + 0 194.513 * * [simplify]: Extracting #3: cost 81 inf + 0 194.513 * * [simplify]: Extracting #4: cost 78 inf + 387 194.514 * * [simplify]: Extracting #5: cost 61 inf + 3411 194.516 * * [simplify]: Extracting #6: cost 32 inf + 15722 194.523 * * [simplify]: Extracting #7: cost 1 inf + 29420 194.529 * * [simplify]: Extracting #8: cost 0 inf + 29903 194.535 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 194.536 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 194.536 * * * * [progress]: [ 419 / 2703 ] simplifiying candidate # 194.536 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 194.536 * * [simplify]: iters left: 6 (21 enodes) 194.542 * * [simplify]: iters left: 5 (76 enodes) 194.562 * * [simplify]: iters left: 4 (124 enodes) 194.605 * * [simplify]: iters left: 3 (278 enodes) 194.717 * * [simplify]: Extracting #0: cost 1 inf + 0 194.717 * * [simplify]: Extracting #1: cost 105 inf + 0 194.718 * * [simplify]: Extracting #2: cost 213 inf + 1 194.718 * * [simplify]: Extracting #3: cost 219 inf + 1 194.719 * * [simplify]: Extracting #4: cost 208 inf + 1840 194.720 * * [simplify]: Extracting #5: cost 197 inf + 6232 194.723 * * [simplify]: Extracting #6: cost 167 inf + 16893 194.748 * * [simplify]: Extracting #7: cost 60 inf + 73104 194.787 * * [simplify]: Extracting #8: cost 1 inf + 105166 194.827 * * [simplify]: Extracting #9: cost 0 inf + 105610 194.868 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 194.868 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 194.869 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 194.869 * * [simplify]: iters left: 6 (18 enodes) 194.878 * * [simplify]: iters left: 5 (61 enodes) 194.896 * * [simplify]: iters left: 4 (84 enodes) 194.926 * * [simplify]: iters left: 3 (143 enodes) 194.977 * * [simplify]: iters left: 2 (237 enodes) 195.041 * * [simplify]: iters left: 1 (330 enodes) 195.136 * * [simplify]: Extracting #0: cost 1 inf + 0 195.137 * * [simplify]: Extracting #1: cost 38 inf + 0 195.137 * * [simplify]: Extracting #2: cost 74 inf + 0 195.138 * * [simplify]: Extracting #3: cost 80 inf + 0 195.138 * * [simplify]: Extracting #4: cost 75 inf + 588 195.139 * * [simplify]: Extracting #5: cost 68 inf + 3326 195.141 * * [simplify]: Extracting #6: cost 63 inf + 3712 195.145 * * [simplify]: Extracting #7: cost 35 inf + 14672 195.158 * * [simplify]: Extracting #8: cost 3 inf + 29976 195.172 * * [simplify]: Extracting #9: cost 0 inf + 31707 195.186 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 195.186 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 195.186 * * * * [progress]: [ 420 / 2703 ] simplifiying candidate # 195.187 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 1)) 195.187 * * [simplify]: iters left: 6 (20 enodes) 195.196 * * [simplify]: iters left: 5 (69 enodes) 195.208 * * [simplify]: iters left: 4 (101 enodes) 195.233 * * [simplify]: iters left: 3 (168 enodes) 195.280 * * [simplify]: iters left: 2 (337 enodes) 195.509 * * [simplify]: Extracting #0: cost 1 inf + 0 195.509 * * [simplify]: Extracting #1: cost 41 inf + 0 195.510 * * [simplify]: Extracting #2: cost 80 inf + 1 195.511 * * [simplify]: Extracting #3: cost 86 inf + 1 195.512 * * [simplify]: Extracting #4: cost 81 inf + 449 195.513 * * [simplify]: Extracting #5: cost 71 inf + 3873 195.515 * * [simplify]: Extracting #6: cost 64 inf + 5125 195.522 * * [simplify]: Extracting #7: cost 26 inf + 20501 195.539 * * [simplify]: Extracting #8: cost 1 inf + 33597 195.556 * * [simplify]: Extracting #9: cost 0 inf + 34060 195.573 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) 195.573 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 195.574 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 195.574 * * [simplify]: iters left: 6 (17 enodes) 195.582 * * [simplify]: iters left: 5 (58 enodes) 195.600 * * [simplify]: iters left: 4 (81 enodes) 195.627 * * [simplify]: iters left: 3 (140 enodes) 195.680 * * [simplify]: iters left: 2 (234 enodes) 195.741 * * [simplify]: iters left: 1 (327 enodes) 195.852 * * [simplify]: Extracting #0: cost 1 inf + 0 195.852 * * [simplify]: Extracting #1: cost 38 inf + 0 195.853 * * [simplify]: Extracting #2: cost 74 inf + 0 195.853 * * [simplify]: Extracting #3: cost 81 inf + 0 195.854 * * [simplify]: Extracting #4: cost 78 inf + 387 195.855 * * [simplify]: Extracting #5: cost 61 inf + 3411 195.860 * * [simplify]: Extracting #6: cost 32 inf + 15722 195.872 * * [simplify]: Extracting #7: cost 1 inf + 29420 195.879 * * [simplify]: Extracting #8: cost 0 inf + 29903 195.886 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 195.886 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 1)) (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 195.886 * * * * [progress]: [ 421 / 2703 ] simplifiying candidate # 195.887 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 1) 195.887 * * [simplify]: iters left: 6 (19 enodes) 195.892 * * [simplify]: iters left: 5 (66 enodes) 195.903 * * [simplify]: iters left: 4 (102 enodes) 195.924 * * [simplify]: iters left: 3 (177 enodes) 195.990 * * [simplify]: iters left: 2 (358 enodes) 196.175 * * [simplify]: Extracting #0: cost 1 inf + 0 196.175 * * [simplify]: Extracting #1: cost 41 inf + 0 196.176 * * [simplify]: Extracting #2: cost 79 inf + 1 196.176 * * [simplify]: Extracting #3: cost 85 inf + 1 196.177 * * [simplify]: Extracting #4: cost 81 inf + 388 196.178 * * [simplify]: Extracting #5: cost 69 inf + 4296 196.179 * * [simplify]: Extracting #6: cost 63 inf + 5125 196.182 * * [simplify]: Extracting #7: cost 33 inf + 17215 196.190 * * [simplify]: Extracting #8: cost 2 inf + 32548 196.199 * * [simplify]: Extracting #9: cost 0 inf + 33455 196.208 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 196.208 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 196.211 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 196.211 * * [simplify]: iters left: 6 (17 enodes) 196.215 * * [simplify]: iters left: 5 (58 enodes) 196.230 * * [simplify]: iters left: 4 (81 enodes) 196.257 * * [simplify]: iters left: 3 (140 enodes) 196.295 * * [simplify]: iters left: 2 (234 enodes) 196.370 * * [simplify]: iters left: 1 (327 enodes) 196.467 * * [simplify]: Extracting #0: cost 1 inf + 0 196.467 * * [simplify]: Extracting #1: cost 38 inf + 0 196.468 * * [simplify]: Extracting #2: cost 74 inf + 0 196.468 * * [simplify]: Extracting #3: cost 81 inf + 0 196.468 * * [simplify]: Extracting #4: cost 78 inf + 387 196.469 * * [simplify]: Extracting #5: cost 61 inf + 3411 196.471 * * [simplify]: Extracting #6: cost 32 inf + 15722 196.478 * * [simplify]: Extracting #7: cost 1 inf + 29420 196.484 * * [simplify]: Extracting #8: cost 0 inf + 29903 196.492 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 196.492 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 1) (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 196.493 * * * * [progress]: [ 422 / 2703 ] simplifiying candidate # 196.493 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2))) 196.493 * * [simplify]: iters left: 6 (18 enodes) 196.498 * * [simplify]: iters left: 5 (63 enodes) 196.509 * * [simplify]: iters left: 4 (98 enodes) 196.543 * * [simplify]: iters left: 3 (177 enodes) 196.587 * * [simplify]: iters left: 2 (309 enodes) 196.688 * * [simplify]: iters left: 1 (435 enodes) 196.848 * * [simplify]: Extracting #0: cost 1 inf + 0 196.849 * * [simplify]: Extracting #1: cost 44 inf + 0 196.849 * * [simplify]: Extracting #2: cost 84 inf + 0 196.850 * * [simplify]: Extracting #3: cost 91 inf + 0 196.851 * * [simplify]: Extracting #4: cost 88 inf + 346 196.852 * * [simplify]: Extracting #5: cost 81 inf + 2882 196.854 * * [simplify]: Extracting #6: cost 64 inf + 7231 196.861 * * [simplify]: Extracting #7: cost 28 inf + 22719 196.879 * * [simplify]: Extracting #8: cost 1 inf + 37095 196.898 * * [simplify]: Extracting #9: cost 0 inf + 37679 196.917 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 196.917 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 196.917 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 196.918 * * [simplify]: iters left: 6 (18 enodes) 196.926 * * [simplify]: iters left: 5 (63 enodes) 196.946 * * [simplify]: iters left: 4 (85 enodes) 196.976 * * [simplify]: iters left: 3 (133 enodes) 197.012 * * [simplify]: iters left: 2 (226 enodes) 197.081 * * [simplify]: iters left: 1 (373 enodes) 197.259 * * [simplify]: Extracting #0: cost 1 inf + 0 197.259 * * [simplify]: Extracting #1: cost 34 inf + 0 197.259 * * [simplify]: Extracting #2: cost 80 inf + 1 197.259 * * [simplify]: Extracting #3: cost 87 inf + 1 197.260 * * [simplify]: Extracting #4: cost 84 inf + 388 197.260 * * [simplify]: Extracting #5: cost 73 inf + 1642 197.262 * * [simplify]: Extracting #6: cost 41 inf + 13093 197.269 * * [simplify]: Extracting #7: cost 1 inf + 30245 197.275 * * [simplify]: Extracting #8: cost 0 inf + 30528 197.286 * [simplify]: Simplified to (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) 197.286 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2))) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 197.287 * * * * [progress]: [ 423 / 2703 ] simplifiying candidate # 197.287 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 197.288 * * [simplify]: iters left: 6 (24 enodes) 197.303 * * [simplify]: iters left: 5 (100 enodes) 197.343 * * [simplify]: iters left: 4 (202 enodes) 197.408 * * [simplify]: iters left: 3 (461 enodes) 197.585 * * [simplify]: Extracting #0: cost 1 inf + 0 197.585 * * [simplify]: Extracting #1: cost 99 inf + 0 197.586 * * [simplify]: Extracting #2: cost 223 inf + 0 197.587 * * [simplify]: Extracting #3: cost 234 inf + 0 197.592 * * [simplify]: Extracting #4: cost 252 inf + 1976 197.594 * * [simplify]: Extracting #5: cost 275 inf + 9007 197.599 * * [simplify]: Extracting #6: cost 232 inf + 30331 197.619 * * [simplify]: Extracting #7: cost 72 inf + 146197 197.669 * * [simplify]: Extracting #8: cost 3 inf + 170859 197.708 * * [simplify]: Extracting #9: cost 0 inf + 165632 197.759 * [simplify]: Simplified to (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))))) 197.759 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 197.759 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 197.760 * * [simplify]: iters left: 6 (22 enodes) 197.771 * * [simplify]: iters left: 5 (93 enodes) 197.804 * * [simplify]: iters left: 4 (174 enodes) 197.856 * * [simplify]: iters left: 3 (308 enodes) 197.930 * * [simplify]: iters left: 2 (450 enodes) 198.149 * * [simplify]: Extracting #0: cost 1 inf + 0 198.149 * * [simplify]: Extracting #1: cost 21 inf + 0 198.150 * * [simplify]: Extracting #2: cost 42 inf + 0 198.150 * * [simplify]: Extracting #3: cost 67 inf + 0 198.151 * * [simplify]: Extracting #4: cost 187 inf + 387 198.154 * * [simplify]: Extracting #5: cost 225 inf + 4323 198.165 * * [simplify]: Extracting #6: cost 78 inf + 29730 198.188 * * [simplify]: Extracting #7: cost 5 inf + 49819 198.208 * * [simplify]: Extracting #8: cost 0 inf + 52575 198.229 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 198.229 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))))) 198.229 * * * * [progress]: [ 424 / 2703 ] simplifiying candidate # 198.230 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 198.230 * * [simplify]: iters left: 6 (23 enodes) 198.242 * * [simplify]: iters left: 5 (92 enodes) 198.267 * * [simplify]: iters left: 4 (168 enodes) 198.305 * * [simplify]: iters left: 3 (385 enodes) 198.483 * * [simplify]: Extracting #0: cost 1 inf + 0 198.483 * * [simplify]: Extracting #1: cost 98 inf + 0 198.485 * * [simplify]: Extracting #2: cost 222 inf + 0 198.487 * * [simplify]: Extracting #3: cost 247 inf + 0 198.489 * * [simplify]: Extracting #4: cost 292 inf + 2239 198.493 * * [simplify]: Extracting #5: cost 266 inf + 10031 198.511 * * [simplify]: Extracting #6: cost 178 inf + 40777 198.552 * * [simplify]: Extracting #7: cost 55 inf + 114138 198.608 * * [simplify]: Extracting #8: cost 4 inf + 142563 198.644 * * [simplify]: Extracting #9: cost 0 inf + 145139 198.679 * * [simplify]: Extracting #10: cost 0 inf + 145019 198.730 * [simplify]: Simplified to (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 198.730 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 198.731 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))) 198.731 * * [simplify]: iters left: 6 (18 enodes) 198.736 * * [simplify]: iters left: 5 (64 enodes) 198.746 * * [simplify]: iters left: 4 (91 enodes) 198.766 * * [simplify]: iters left: 3 (128 enodes) 198.799 * * [simplify]: iters left: 2 (180 enodes) 198.847 * * [simplify]: iters left: 1 (282 enodes) 198.942 * * [simplify]: Extracting #0: cost 1 inf + 0 198.942 * * [simplify]: Extracting #1: cost 23 inf + 0 198.942 * * [simplify]: Extracting #2: cost 45 inf + 0 198.942 * * [simplify]: Extracting #3: cost 73 inf + 0 198.943 * * [simplify]: Extracting #4: cost 103 inf + 266 198.944 * * [simplify]: Extracting #5: cost 96 inf + 1277 198.947 * * [simplify]: Extracting #6: cost 49 inf + 10237 198.954 * * [simplify]: Extracting #7: cost 6 inf + 21242 198.963 * * [simplify]: Extracting #8: cost 0 inf + 23559 198.971 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2))))) 198.972 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2))))))) 198.972 * * * * [progress]: [ 425 / 2703 ] simplifiying candidate # 198.973 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 198.973 * * [simplify]: iters left: 6 (22 enodes) 198.983 * * [simplify]: iters left: 5 (76 enodes) 199.007 * * [simplify]: iters left: 4 (116 enodes) 199.027 * * [simplify]: iters left: 3 (223 enodes) 199.114 * * [simplify]: iters left: 2 (419 enodes) 199.304 * * [simplify]: Extracting #0: cost 1 inf + 0 199.305 * * [simplify]: Extracting #1: cost 69 inf + 0 199.306 * * [simplify]: Extracting #2: cost 135 inf + 0 199.307 * * [simplify]: Extracting #3: cost 147 inf + 0 199.308 * * [simplify]: Extracting #4: cost 141 inf + 1051 199.310 * * [simplify]: Extracting #5: cost 137 inf + 3024 199.312 * * [simplify]: Extracting #6: cost 129 inf + 3834 199.315 * * [simplify]: Extracting #7: cost 112 inf + 8857 199.324 * * [simplify]: Extracting #8: cost 71 inf + 34626 199.358 * * [simplify]: Extracting #9: cost 6 inf + 79195 199.389 * * [simplify]: Extracting #10: cost 0 inf + 82977 199.411 * * [simplify]: Extracting #11: cost 0 inf + 82897 199.430 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 199.430 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 199.431 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 199.431 * * [simplify]: iters left: 6 (19 enodes) 199.436 * * [simplify]: iters left: 5 (62 enodes) 199.451 * * [simplify]: iters left: 4 (76 enodes) 199.471 * * [simplify]: iters left: 3 (96 enodes) 199.485 * * [simplify]: iters left: 2 (107 enodes) 199.500 * * [simplify]: iters left: 1 (126 enodes) 199.532 * * [simplify]: Extracting #0: cost 1 inf + 0 199.532 * * [simplify]: Extracting #1: cost 23 inf + 0 199.532 * * [simplify]: Extracting #2: cost 45 inf + 0 199.533 * * [simplify]: Extracting #3: cost 54 inf + 0 199.533 * * [simplify]: Extracting #4: cost 52 inf + 346 199.533 * * [simplify]: Extracting #5: cost 50 inf + 1334 199.534 * * [simplify]: Extracting #6: cost 46 inf + 1418 199.535 * * [simplify]: Extracting #7: cost 30 inf + 6078 199.538 * * [simplify]: Extracting #8: cost 22 inf + 9362 199.542 * * [simplify]: Extracting #9: cost 3 inf + 20970 199.549 * * [simplify]: Extracting #10: cost 0 inf + 22922 199.553 * [simplify]: Simplified to (/ (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 199.553 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 199.553 * * * * [progress]: [ 426 / 2703 ] simplifiying candidate # 199.554 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 199.554 * * [simplify]: iters left: 6 (21 enodes) 199.559 * * [simplify]: iters left: 5 (71 enodes) 199.570 * * [simplify]: iters left: 4 (99 enodes) 199.588 * * [simplify]: iters left: 3 (155 enodes) 199.618 * * [simplify]: iters left: 2 (227 enodes) 199.689 * * [simplify]: iters left: 1 (304 enodes) 199.772 * * [simplify]: Extracting #0: cost 1 inf + 0 199.772 * * [simplify]: Extracting #1: cost 39 inf + 0 199.772 * * [simplify]: Extracting #2: cost 77 inf + 0 199.772 * * [simplify]: Extracting #3: cost 87 inf + 0 199.773 * * [simplify]: Extracting #4: cost 88 inf + 63 199.773 * * [simplify]: Extracting #5: cost 82 inf + 1876 199.774 * * [simplify]: Extracting #6: cost 73 inf + 3409 199.776 * * [simplify]: Extracting #7: cost 53 inf + 9519 199.784 * * [simplify]: Extracting #8: cost 26 inf + 23914 199.800 * * [simplify]: Extracting #9: cost 4 inf + 37396 199.818 * * [simplify]: Extracting #10: cost 0 inf + 39589 199.835 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 199.835 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 199.836 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 199.836 * * [simplify]: iters left: 6 (19 enodes) 199.846 * * [simplify]: iters left: 5 (62 enodes) 199.864 * * [simplify]: iters left: 4 (76 enodes) 199.887 * * [simplify]: iters left: 3 (96 enodes) 199.914 * * [simplify]: iters left: 2 (107 enodes) 199.930 * * [simplify]: iters left: 1 (126 enodes) 199.955 * * [simplify]: Extracting #0: cost 1 inf + 0 199.955 * * [simplify]: Extracting #1: cost 23 inf + 0 199.955 * * [simplify]: Extracting #2: cost 45 inf + 0 199.955 * * [simplify]: Extracting #3: cost 54 inf + 0 199.956 * * [simplify]: Extracting #4: cost 52 inf + 346 199.956 * * [simplify]: Extracting #5: cost 50 inf + 1334 199.957 * * [simplify]: Extracting #6: cost 46 inf + 1418 199.958 * * [simplify]: Extracting #7: cost 30 inf + 6078 199.960 * * [simplify]: Extracting #8: cost 22 inf + 9282 199.965 * * [simplify]: Extracting #9: cost 3 inf + 20130 199.972 * * [simplify]: Extracting #10: cost 0 inf + 21962 199.979 * [simplify]: Simplified to (/ (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 199.980 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 199.980 * * * * [progress]: [ 427 / 2703 ] simplifiying candidate # 199.980 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 199.981 * * [simplify]: iters left: 6 (24 enodes) 199.992 * * [simplify]: iters left: 5 (84 enodes) 200.017 * * [simplify]: iters left: 4 (132 enodes) 200.042 * * [simplify]: iters left: 3 (299 enodes) 200.168 * * [simplify]: Extracting #0: cost 1 inf + 0 200.168 * * [simplify]: Extracting #1: cost 104 inf + 0 200.169 * * [simplify]: Extracting #2: cost 252 inf + 0 200.170 * * [simplify]: Extracting #3: cost 261 inf + 0 200.172 * * [simplify]: Extracting #4: cost 243 inf + 4107 200.174 * * [simplify]: Extracting #5: cost 224 inf + 13550 200.176 * * [simplify]: Extracting #6: cost 216 inf + 15442 200.180 * * [simplify]: Extracting #7: cost 194 inf + 24602 200.204 * * [simplify]: Extracting #8: cost 48 inf + 123375 200.242 * * [simplify]: Extracting #9: cost 0 inf + 159075 200.286 * * [simplify]: Extracting #10: cost 0 inf + 158795 200.322 * * [simplify]: Extracting #11: cost 0 inf + 158715 200.383 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 200.383 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 200.383 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 200.384 * * [simplify]: iters left: 6 (20 enodes) 200.392 * * [simplify]: iters left: 5 (67 enodes) 200.402 * * [simplify]: iters left: 4 (91 enodes) 200.417 * * [simplify]: iters left: 3 (156 enodes) 200.460 * * [simplify]: iters left: 2 (284 enodes) 200.550 * * [simplify]: iters left: 1 (471 enodes) 200.721 * * [simplify]: Extracting #0: cost 1 inf + 0 200.721 * * [simplify]: Extracting #1: cost 53 inf + 0 200.721 * * [simplify]: Extracting #2: cost 105 inf + 0 200.722 * * [simplify]: Extracting #3: cost 114 inf + 0 200.722 * * [simplify]: Extracting #4: cost 109 inf + 789 200.723 * * [simplify]: Extracting #5: cost 102 inf + 3566 200.724 * * [simplify]: Extracting #6: cost 90 inf + 6544 200.726 * * [simplify]: Extracting #7: cost 65 inf + 17078 200.732 * * [simplify]: Extracting #8: cost 37 inf + 33090 200.751 * * [simplify]: Extracting #9: cost 2 inf + 52803 200.775 * * [simplify]: Extracting #10: cost 0 inf + 54310 200.798 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 200.798 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))))) 200.799 * * * * [progress]: [ 428 / 2703 ] simplifiying candidate # 200.799 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 200.799 * * [simplify]: iters left: 6 (21 enodes) 200.809 * * [simplify]: iters left: 5 (73 enodes) 200.836 * * [simplify]: iters left: 4 (112 enodes) 200.865 * * [simplify]: iters left: 3 (211 enodes) 200.928 * * [simplify]: iters left: 2 (438 enodes) 201.148 * * [simplify]: Extracting #0: cost 1 inf + 0 201.149 * * [simplify]: Extracting #1: cost 90 inf + 0 201.149 * * [simplify]: Extracting #2: cost 162 inf + 0 201.150 * * [simplify]: Extracting #3: cost 173 inf + 0 201.151 * * [simplify]: Extracting #4: cost 165 inf + 1554 201.152 * * [simplify]: Extracting #5: cost 151 inf + 4855 201.161 * * [simplify]: Extracting #6: cost 62 inf + 49941 201.179 * * [simplify]: Extracting #7: cost 4 inf + 86492 201.205 * * [simplify]: Extracting #8: cost 0 inf + 89026 201.245 * * [simplify]: Extracting #9: cost 0 inf + 88986 201.273 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2))) 201.273 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 201.273 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 201.273 * * [simplify]: iters left: 6 (18 enodes) 201.278 * * [simplify]: iters left: 5 (61 enodes) 201.288 * * [simplify]: iters left: 4 (84 enodes) 201.310 * * [simplify]: iters left: 3 (129 enodes) 201.340 * * [simplify]: iters left: 2 (199 enodes) 201.380 * * [simplify]: iters left: 1 (298 enodes) 201.445 * * [simplify]: Extracting #0: cost 1 inf + 0 201.445 * * [simplify]: Extracting #1: cost 39 inf + 0 201.445 * * [simplify]: Extracting #2: cost 75 inf + 0 201.445 * * [simplify]: Extracting #3: cost 82 inf + 0 201.446 * * [simplify]: Extracting #4: cost 79 inf + 467 201.446 * * [simplify]: Extracting #5: cost 61 inf + 4894 201.447 * * [simplify]: Extracting #6: cost 55 inf + 5902 201.451 * * [simplify]: Extracting #7: cost 27 inf + 17927 201.461 * * [simplify]: Extracting #8: cost 1 inf + 31996 201.474 * * [simplify]: Extracting #9: cost 0 inf + 32479 201.486 * [simplify]: Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 201.486 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 201.487 * * * * [progress]: [ 429 / 2703 ] simplifiying candidate # 201.487 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 201.487 * * [simplify]: iters left: 6 (23 enodes) 201.498 * * [simplify]: iters left: 5 (79 enodes) 201.524 * * [simplify]: iters left: 4 (119 enodes) 201.561 * * [simplify]: iters left: 3 (241 enodes) 201.654 * * [simplify]: Extracting #0: cost 1 inf + 0 201.655 * * [simplify]: Extracting #1: cost 76 inf + 0 201.655 * * [simplify]: Extracting #2: cost 169 inf + 0 201.657 * * [simplify]: Extracting #3: cost 178 inf + 0 201.658 * * [simplify]: Extracting #4: cost 172 inf + 849 201.660 * * [simplify]: Extracting #5: cost 160 inf + 5675 201.665 * * [simplify]: Extracting #6: cost 117 inf + 20665 201.688 * * [simplify]: Extracting #7: cost 25 inf + 77687 201.709 * * [simplify]: Extracting #8: cost 0 inf + 95180 201.726 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 201.726 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 201.726 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 201.726 * * [simplify]: iters left: 6 (20 enodes) 201.732 * * [simplify]: iters left: 5 (67 enodes) 201.753 * * [simplify]: iters left: 4 (91 enodes) 201.782 * * [simplify]: iters left: 3 (156 enodes) 201.844 * * [simplify]: iters left: 2 (284 enodes) 201.933 * * [simplify]: iters left: 1 (471 enodes) 202.151 * * [simplify]: Extracting #0: cost 1 inf + 0 202.151 * * [simplify]: Extracting #1: cost 53 inf + 0 202.152 * * [simplify]: Extracting #2: cost 105 inf + 0 202.153 * * [simplify]: Extracting #3: cost 114 inf + 0 202.154 * * [simplify]: Extracting #4: cost 109 inf + 789 202.155 * * [simplify]: Extracting #5: cost 102 inf + 3566 202.157 * * [simplify]: Extracting #6: cost 90 inf + 6544 202.162 * * [simplify]: Extracting #7: cost 65 inf + 17078 202.172 * * [simplify]: Extracting #8: cost 37 inf + 32410 202.195 * * [simplify]: Extracting #9: cost 2 inf + 50763 202.215 * * [simplify]: Extracting #10: cost 0 inf + 52190 202.227 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 202.227 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))))) 202.227 * * * * [progress]: [ 430 / 2703 ] simplifiying candidate # 202.227 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 202.227 * * [simplify]: iters left: 6 (23 enodes) 202.234 * * [simplify]: iters left: 5 (81 enodes) 202.249 * * [simplify]: iters left: 4 (111 enodes) 202.285 * * [simplify]: iters left: 3 (189 enodes) 202.364 * * [simplify]: iters left: 2 (331 enodes) 202.566 * * [simplify]: Extracting #0: cost 1 inf + 0 202.567 * * [simplify]: Extracting #1: cost 61 inf + 0 202.567 * * [simplify]: Extracting #2: cost 108 inf + 1 202.568 * * [simplify]: Extracting #3: cost 117 inf + 1 202.569 * * [simplify]: Extracting #4: cost 112 inf + 689 202.572 * * [simplify]: Extracting #5: cost 91 inf + 7654 202.577 * * [simplify]: Extracting #6: cost 69 inf + 15374 202.590 * * [simplify]: Extracting #7: cost 33 inf + 32443 202.612 * * [simplify]: Extracting #8: cost 1 inf + 53286 202.635 * * [simplify]: Extracting #9: cost 0 inf + 53910 202.660 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 202.660 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 202.661 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 202.661 * * [simplify]: iters left: 6 (19 enodes) 202.670 * * [simplify]: iters left: 5 (64 enodes) 202.690 * * [simplify]: iters left: 4 (88 enodes) 202.713 * * [simplify]: iters left: 3 (153 enodes) 202.742 * * [simplify]: iters left: 2 (280 enodes) 202.839 * * [simplify]: iters left: 1 (464 enodes) 203.023 * * [simplify]: Extracting #0: cost 1 inf + 0 203.023 * * [simplify]: Extracting #1: cost 53 inf + 0 203.024 * * [simplify]: Extracting #2: cost 105 inf + 0 203.024 * * [simplify]: Extracting #3: cost 115 inf + 0 203.025 * * [simplify]: Extracting #4: cost 112 inf + 427 203.026 * * [simplify]: Extracting #5: cost 94 inf + 4252 203.030 * * [simplify]: Extracting #6: cost 46 inf + 25634 203.040 * * [simplify]: Extracting #7: cost 0 inf + 49746 203.051 * [simplify]: Simplified to (/ (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 203.051 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 203.051 * * * * [progress]: [ 431 / 2703 ] simplifiying candidate # 203.051 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 203.051 * * [simplify]: iters left: 6 (23 enodes) 203.057 * * [simplify]: iters left: 5 (79 enodes) 203.069 * * [simplify]: iters left: 4 (119 enodes) 203.100 * * [simplify]: iters left: 3 (241 enodes) 203.183 * * [simplify]: Extracting #0: cost 1 inf + 0 203.183 * * [simplify]: Extracting #1: cost 76 inf + 0 203.184 * * [simplify]: Extracting #2: cost 169 inf + 0 203.185 * * [simplify]: Extracting #3: cost 178 inf + 0 203.186 * * [simplify]: Extracting #4: cost 172 inf + 849 203.188 * * [simplify]: Extracting #5: cost 160 inf + 5675 203.192 * * [simplify]: Extracting #6: cost 117 inf + 20665 203.214 * * [simplify]: Extracting #7: cost 25 inf + 77687 203.242 * * [simplify]: Extracting #8: cost 0 inf + 95180 203.265 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 203.265 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 203.265 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 203.265 * * [simplify]: iters left: 6 (20 enodes) 203.270 * * [simplify]: iters left: 5 (67 enodes) 203.281 * * [simplify]: iters left: 4 (91 enodes) 203.298 * * [simplify]: iters left: 3 (156 enodes) 203.342 * * [simplify]: iters left: 2 (284 enodes) 203.443 * * [simplify]: iters left: 1 (471 enodes) 203.646 * * [simplify]: Extracting #0: cost 1 inf + 0 203.647 * * [simplify]: Extracting #1: cost 53 inf + 0 203.647 * * [simplify]: Extracting #2: cost 105 inf + 0 203.648 * * [simplify]: Extracting #3: cost 114 inf + 0 203.649 * * [simplify]: Extracting #4: cost 109 inf + 789 203.651 * * [simplify]: Extracting #5: cost 102 inf + 3566 203.653 * * [simplify]: Extracting #6: cost 90 inf + 6544 203.657 * * [simplify]: Extracting #7: cost 65 inf + 17078 203.668 * * [simplify]: Extracting #8: cost 37 inf + 32410 203.689 * * [simplify]: Extracting #9: cost 2 inf + 50763 203.712 * * [simplify]: Extracting #10: cost 0 inf + 52190 203.735 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 203.735 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))))) 203.736 * * * * [progress]: [ 432 / 2703 ] simplifiying candidate # 203.736 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 203.736 * * [simplify]: iters left: 6 (22 enodes) 203.748 * * [simplify]: iters left: 5 (76 enodes) 203.772 * * [simplify]: iters left: 4 (108 enodes) 203.803 * * [simplify]: iters left: 3 (192 enodes) 203.863 * * [simplify]: iters left: 2 (350 enodes) 204.026 * * [simplify]: Extracting #0: cost 1 inf + 0 204.027 * * [simplify]: Extracting #1: cost 62 inf + 0 204.027 * * [simplify]: Extracting #2: cost 105 inf + 1 204.028 * * [simplify]: Extracting #3: cost 114 inf + 1 204.028 * * [simplify]: Extracting #4: cost 108 inf + 730 204.029 * * [simplify]: Extracting #5: cost 92 inf + 6264 204.032 * * [simplify]: Extracting #6: cost 65 inf + 15614 204.037 * * [simplify]: Extracting #7: cost 27 inf + 35275 204.058 * * [simplify]: Extracting #8: cost 1 inf + 52658 204.080 * * [simplify]: Extracting #9: cost 0 inf + 53442 204.101 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 204.101 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 204.102 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 204.102 * * [simplify]: iters left: 6 (19 enodes) 204.111 * * [simplify]: iters left: 5 (64 enodes) 204.131 * * [simplify]: iters left: 4 (88 enodes) 204.162 * * [simplify]: iters left: 3 (153 enodes) 204.219 * * [simplify]: iters left: 2 (280 enodes) 204.319 * * [simplify]: iters left: 1 (464 enodes) 204.513 * * [simplify]: Extracting #0: cost 1 inf + 0 204.513 * * [simplify]: Extracting #1: cost 53 inf + 0 204.513 * * [simplify]: Extracting #2: cost 105 inf + 0 204.514 * * [simplify]: Extracting #3: cost 115 inf + 0 204.514 * * [simplify]: Extracting #4: cost 112 inf + 427 204.515 * * [simplify]: Extracting #5: cost 94 inf + 4252 204.518 * * [simplify]: Extracting #6: cost 46 inf + 25634 204.534 * * [simplify]: Extracting #7: cost 0 inf + 49746 204.546 * [simplify]: Simplified to (/ (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 204.546 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) (/ (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 204.546 * * * * [progress]: [ 433 / 2703 ] simplifiying candidate # 204.546 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 204.547 * * [simplify]: iters left: 6 (26 enodes) 204.553 * * [simplify]: iters left: 5 (91 enodes) 204.571 * * [simplify]: iters left: 4 (139 enodes) 204.615 * * [simplify]: iters left: 3 (306 enodes) 204.736 * * [simplify]: Extracting #0: cost 1 inf + 0 204.736 * * [simplify]: Extracting #1: cost 104 inf + 0 204.737 * * [simplify]: Extracting #2: cost 253 inf + 0 204.738 * * [simplify]: Extracting #3: cost 264 inf + 0 204.739 * * [simplify]: Extracting #4: cost 255 inf + 1575 204.741 * * [simplify]: Extracting #5: cost 241 inf + 6842 204.743 * * [simplify]: Extracting #6: cost 215 inf + 16870 204.750 * * [simplify]: Extracting #7: cost 148 inf + 56611 204.790 * * [simplify]: Extracting #8: cost 13 inf + 154779 204.851 * * [simplify]: Extracting #9: cost 0 inf + 163943 204.910 * * [simplify]: Extracting #10: cost 0 inf + 163903 204.952 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt 2)) (/ (cbrt (fabs (cbrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) 204.952 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt 2)) (/ (cbrt (fabs (cbrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 204.953 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 204.953 * * [simplify]: iters left: 6 (22 enodes) 204.958 * * [simplify]: iters left: 5 (73 enodes) 204.979 * * [simplify]: iters left: 4 (97 enodes) 205.010 * * [simplify]: iters left: 3 (162 enodes) 205.044 * * [simplify]: iters left: 2 (290 enodes) 205.178 * * [simplify]: iters left: 1 (477 enodes) 205.381 * * [simplify]: Extracting #0: cost 1 inf + 0 205.381 * * [simplify]: Extracting #1: cost 53 inf + 0 205.382 * * [simplify]: Extracting #2: cost 106 inf + 0 205.383 * * [simplify]: Extracting #3: cost 117 inf + 0 205.384 * * [simplify]: Extracting #4: cost 111 inf + 1152 205.385 * * [simplify]: Extracting #5: cost 107 inf + 2342 205.387 * * [simplify]: Extracting #6: cost 98 inf + 4294 205.392 * * [simplify]: Extracting #7: cost 62 inf + 20268 205.404 * * [simplify]: Extracting #8: cost 37 inf + 35172 205.428 * * [simplify]: Extracting #9: cost 5 inf + 55296 205.452 * * [simplify]: Extracting #10: cost 0 inf + 58674 205.469 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 205.469 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 205.470 * * * * [progress]: [ 434 / 2703 ] simplifiying candidate # 205.470 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 205.470 * * [simplify]: iters left: 6 (23 enodes) 205.476 * * [simplify]: iters left: 5 (80 enodes) 205.493 * * [simplify]: iters left: 4 (119 enodes) 205.534 * * [simplify]: iters left: 3 (218 enodes) 205.602 * * [simplify]: iters left: 2 (448 enodes) 205.832 * * [simplify]: Extracting #0: cost 1 inf + 0 205.833 * * [simplify]: Extracting #1: cost 89 inf + 0 205.833 * * [simplify]: Extracting #2: cost 161 inf + 0 205.834 * * [simplify]: Extracting #3: cost 174 inf + 0 205.835 * * [simplify]: Extracting #4: cost 169 inf + 1212 205.836 * * [simplify]: Extracting #5: cost 151 inf + 5037 205.838 * * [simplify]: Extracting #6: cost 129 inf + 13435 205.840 * * [simplify]: Extracting #7: cost 123 inf + 15266 205.847 * * [simplify]: Extracting #8: cost 68 inf + 47119 205.879 * * [simplify]: Extracting #9: cost 7 inf + 85379 205.918 * * [simplify]: Extracting #10: cost 0 inf + 89806 205.955 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) 205.955 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 205.956 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 205.956 * * [simplify]: iters left: 6 (20 enodes) 205.966 * * [simplify]: iters left: 5 (67 enodes) 205.983 * * [simplify]: iters left: 4 (90 enodes) 205.998 * * [simplify]: iters left: 3 (135 enodes) 206.031 * * [simplify]: iters left: 2 (205 enodes) 206.081 * * [simplify]: iters left: 1 (305 enodes) 206.150 * * [simplify]: Extracting #0: cost 1 inf + 0 206.150 * * [simplify]: Extracting #1: cost 39 inf + 0 206.150 * * [simplify]: Extracting #2: cost 76 inf + 0 206.151 * * [simplify]: Extracting #3: cost 85 inf + 0 206.151 * * [simplify]: Extracting #4: cost 82 inf + 468 206.152 * * [simplify]: Extracting #5: cost 69 inf + 2865 206.152 * * [simplify]: Extracting #6: cost 57 inf + 6102 206.157 * * [simplify]: Extracting #7: cost 26 inf + 21096 206.169 * * [simplify]: Extracting #8: cost 3 inf + 34054 206.185 * * [simplify]: Extracting #9: cost 0 inf + 35643 206.199 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt 2))))) 206.199 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt 2))))))) 206.199 * * * * [progress]: [ 435 / 2703 ] simplifiying candidate # 206.200 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 206.200 * * [simplify]: iters left: 6 (25 enodes) 206.211 * * [simplify]: iters left: 5 (86 enodes) 206.238 * * [simplify]: iters left: 4 (126 enodes) 206.282 * * [simplify]: iters left: 3 (248 enodes) 206.372 * * [simplify]: Extracting #0: cost 1 inf + 0 206.372 * * [simplify]: Extracting #1: cost 76 inf + 0 206.373 * * [simplify]: Extracting #2: cost 169 inf + 0 206.374 * * [simplify]: Extracting #3: cost 180 inf + 0 206.376 * * [simplify]: Extracting #4: cost 175 inf + 991 206.378 * * [simplify]: Extracting #5: cost 163 inf + 5836 206.382 * * [simplify]: Extracting #6: cost 114 inf + 23400 206.403 * * [simplify]: Extracting #7: cost 24 inf + 81134 206.438 * * [simplify]: Extracting #8: cost 0 inf + 98304 206.471 * [simplify]: Simplified to (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))))) 206.471 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 206.471 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 206.472 * * [simplify]: iters left: 6 (22 enodes) 206.482 * * [simplify]: iters left: 5 (73 enodes) 206.505 * * [simplify]: iters left: 4 (97 enodes) 206.536 * * [simplify]: iters left: 3 (162 enodes) 206.599 * * [simplify]: iters left: 2 (290 enodes) 206.732 * * [simplify]: iters left: 1 (477 enodes) 206.935 * * [simplify]: Extracting #0: cost 1 inf + 0 206.936 * * [simplify]: Extracting #1: cost 53 inf + 0 206.937 * * [simplify]: Extracting #2: cost 106 inf + 0 206.937 * * [simplify]: Extracting #3: cost 117 inf + 0 206.939 * * [simplify]: Extracting #4: cost 111 inf + 1152 206.940 * * [simplify]: Extracting #5: cost 107 inf + 2342 206.942 * * [simplify]: Extracting #6: cost 98 inf + 4294 206.947 * * [simplify]: Extracting #7: cost 62 inf + 20268 206.959 * * [simplify]: Extracting #8: cost 37 inf + 34532 206.981 * * [simplify]: Extracting #9: cost 5 inf + 53376 207.002 * * [simplify]: Extracting #10: cost 0 inf + 56554 207.015 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 207.015 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 207.015 * * * * [progress]: [ 436 / 2703 ] simplifiying candidate # 207.015 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 207.016 * * [simplify]: iters left: 6 (25 enodes) 207.023 * * [simplify]: iters left: 5 (88 enodes) 207.049 * * [simplify]: iters left: 4 (118 enodes) 207.087 * * [simplify]: iters left: 3 (196 enodes) 207.141 * * [simplify]: iters left: 2 (340 enodes) 207.337 * * [simplify]: Extracting #0: cost 1 inf + 0 207.337 * * [simplify]: Extracting #1: cost 63 inf + 0 207.338 * * [simplify]: Extracting #2: cost 110 inf + 1 207.338 * * [simplify]: Extracting #3: cost 121 inf + 1 207.340 * * [simplify]: Extracting #4: cost 116 inf + 1333 207.342 * * [simplify]: Extracting #5: cost 96 inf + 7333 207.347 * * [simplify]: Extracting #6: cost 75 inf + 14450 207.360 * * [simplify]: Extracting #7: cost 34 inf + 34775 207.381 * * [simplify]: Extracting #8: cost 1 inf + 55939 207.407 * * [simplify]: Extracting #9: cost 0 inf + 56523 207.430 * [simplify]: Simplified to (/ (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (fabs (cbrt 2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 207.430 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (fabs (cbrt 2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 207.430 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 207.431 * * [simplify]: iters left: 6 (21 enodes) 207.441 * * [simplify]: iters left: 5 (70 enodes) 207.463 * * [simplify]: iters left: 4 (94 enodes) 207.493 * * [simplify]: iters left: 3 (159 enodes) 207.525 * * [simplify]: iters left: 2 (287 enodes) 207.623 * * [simplify]: iters left: 1 (475 enodes) 207.802 * * [simplify]: Extracting #0: cost 1 inf + 0 207.802 * * [simplify]: Extracting #1: cost 53 inf + 0 207.802 * * [simplify]: Extracting #2: cost 105 inf + 0 207.803 * * [simplify]: Extracting #3: cost 117 inf + 0 207.803 * * [simplify]: Extracting #4: cost 116 inf + 366 207.804 * * [simplify]: Extracting #5: cost 103 inf + 1962 207.807 * * [simplify]: Extracting #6: cost 63 inf + 19491 207.824 * * [simplify]: Extracting #7: cost 8 inf + 49482 207.847 * * [simplify]: Extracting #8: cost 0 inf + 53568 207.870 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt (cbrt 2))) (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))) 207.871 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (fabs (cbrt 2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt (cbrt 2))) (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))))) 207.871 * * * * [progress]: [ 437 / 2703 ] simplifiying candidate # 207.871 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 207.875 * * [simplify]: iters left: 6 (25 enodes) 207.885 * * [simplify]: iters left: 5 (86 enodes) 207.898 * * [simplify]: iters left: 4 (126 enodes) 207.926 * * [simplify]: iters left: 3 (248 enodes) 208.013 * * [simplify]: Extracting #0: cost 1 inf + 0 208.013 * * [simplify]: Extracting #1: cost 76 inf + 0 208.014 * * [simplify]: Extracting #2: cost 169 inf + 0 208.015 * * [simplify]: Extracting #3: cost 180 inf + 0 208.017 * * [simplify]: Extracting #4: cost 175 inf + 991 208.018 * * [simplify]: Extracting #5: cost 163 inf + 5836 208.023 * * [simplify]: Extracting #6: cost 114 inf + 23400 208.043 * * [simplify]: Extracting #7: cost 24 inf + 81134 208.065 * * [simplify]: Extracting #8: cost 0 inf + 98304 208.084 * [simplify]: Simplified to (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))))) 208.084 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 208.084 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 208.085 * * [simplify]: iters left: 6 (22 enodes) 208.090 * * [simplify]: iters left: 5 (73 enodes) 208.102 * * [simplify]: iters left: 4 (97 enodes) 208.129 * * [simplify]: iters left: 3 (162 enodes) 208.184 * * [simplify]: iters left: 2 (290 enodes) 208.282 * * [simplify]: iters left: 1 (477 enodes) 208.473 * * [simplify]: Extracting #0: cost 1 inf + 0 208.473 * * [simplify]: Extracting #1: cost 53 inf + 0 208.474 * * [simplify]: Extracting #2: cost 106 inf + 0 208.474 * * [simplify]: Extracting #3: cost 117 inf + 0 208.475 * * [simplify]: Extracting #4: cost 111 inf + 1152 208.476 * * [simplify]: Extracting #5: cost 107 inf + 2342 208.476 * * [simplify]: Extracting #6: cost 98 inf + 4294 208.480 * * [simplify]: Extracting #7: cost 62 inf + 20268 208.486 * * [simplify]: Extracting #8: cost 37 inf + 34532 208.497 * * [simplify]: Extracting #9: cost 5 inf + 53376 208.510 * * [simplify]: Extracting #10: cost 0 inf + 56554 208.537 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 208.538 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 208.538 * * * * [progress]: [ 438 / 2703 ] simplifiying candidate # 208.538 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 208.539 * * [simplify]: iters left: 6 (24 enodes) 208.551 * * [simplify]: iters left: 5 (83 enodes) 208.577 * * [simplify]: iters left: 4 (115 enodes) 208.610 * * [simplify]: iters left: 3 (199 enodes) 208.669 * * [simplify]: iters left: 2 (352 enodes) 208.878 * * [simplify]: Extracting #0: cost 1 inf + 0 208.878 * * [simplify]: Extracting #1: cost 62 inf + 0 208.879 * * [simplify]: Extracting #2: cost 103 inf + 1 208.880 * * [simplify]: Extracting #3: cost 114 inf + 1 208.881 * * [simplify]: Extracting #4: cost 108 inf + 1374 208.883 * * [simplify]: Extracting #5: cost 94 inf + 5402 208.887 * * [simplify]: Extracting #6: cost 68 inf + 15531 208.898 * * [simplify]: Extracting #7: cost 31 inf + 33442 208.919 * * [simplify]: Extracting #8: cost 1 inf + 52493 208.942 * * [simplify]: Extracting #9: cost 0 inf + 53157 208.963 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (cbrt (cos th)))) 208.963 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 208.964 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 208.964 * * [simplify]: iters left: 6 (21 enodes) 208.974 * * [simplify]: iters left: 5 (70 enodes) 208.995 * * [simplify]: iters left: 4 (94 enodes) 209.025 * * [simplify]: iters left: 3 (159 enodes) 209.085 * * [simplify]: iters left: 2 (287 enodes) 209.191 * * [simplify]: iters left: 1 (475 enodes) 209.396 * * [simplify]: Extracting #0: cost 1 inf + 0 209.396 * * [simplify]: Extracting #1: cost 53 inf + 0 209.397 * * [simplify]: Extracting #2: cost 105 inf + 0 209.397 * * [simplify]: Extracting #3: cost 117 inf + 0 209.398 * * [simplify]: Extracting #4: cost 116 inf + 366 209.399 * * [simplify]: Extracting #5: cost 103 inf + 1962 209.405 * * [simplify]: Extracting #6: cost 63 inf + 19491 209.425 * * [simplify]: Extracting #7: cost 8 inf + 49482 209.447 * * [simplify]: Extracting #8: cost 0 inf + 53568 209.471 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt (cbrt 2))) (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))) 209.471 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (cbrt (cos th)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt (cbrt 2))) (* (cbrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2)))))) 209.471 * * * * [progress]: [ 439 / 2703 ] simplifiying candidate # 209.472 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 209.472 * * [simplify]: iters left: 6 (24 enodes) 209.486 * * [simplify]: iters left: 5 (84 enodes) 209.513 * * [simplify]: iters left: 4 (132 enodes) 209.561 * * [simplify]: iters left: 3 (299 enodes) 209.720 * * [simplify]: Extracting #0: cost 1 inf + 0 209.721 * * [simplify]: Extracting #1: cost 104 inf + 0 209.721 * * [simplify]: Extracting #2: cost 252 inf + 0 209.723 * * [simplify]: Extracting #3: cost 261 inf + 0 209.724 * * [simplify]: Extracting #4: cost 243 inf + 3867 209.726 * * [simplify]: Extracting #5: cost 224 inf + 12670 209.728 * * [simplify]: Extracting #6: cost 216 inf + 14482 209.732 * * [simplify]: Extracting #7: cost 194 inf + 23402 209.769 * * [simplify]: Extracting #8: cost 48 inf + 119295 209.819 * * [simplify]: Extracting #9: cost 0 inf + 153795 209.851 * * [simplify]: Extracting #10: cost 0 inf + 153515 209.901 * * [simplify]: Extracting #11: cost 0 inf + 153435 209.932 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 209.932 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 209.933 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 209.933 * * [simplify]: iters left: 6 (21 enodes) 209.941 * * [simplify]: iters left: 5 (70 enodes) 209.963 * * [simplify]: iters left: 4 (94 enodes) 209.980 * * [simplify]: iters left: 3 (159 enodes) 210.020 * * [simplify]: iters left: 2 (287 enodes) 210.115 * * [simplify]: iters left: 1 (471 enodes) 210.302 * * [simplify]: Extracting #0: cost 1 inf + 0 210.303 * * [simplify]: Extracting #1: cost 53 inf + 0 210.303 * * [simplify]: Extracting #2: cost 106 inf + 0 210.304 * * [simplify]: Extracting #3: cost 116 inf + 0 210.305 * * [simplify]: Extracting #4: cost 113 inf + 366 210.306 * * [simplify]: Extracting #5: cost 107 inf + 1999 210.308 * * [simplify]: Extracting #6: cost 92 inf + 5942 210.315 * * [simplify]: Extracting #7: cost 54 inf + 24034 210.335 * * [simplify]: Extracting #8: cost 6 inf + 51251 210.358 * * [simplify]: Extracting #9: cost 0 inf + 54672 210.380 * [simplify]: Simplified to (/ (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 210.381 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 210.381 * * * * [progress]: [ 440 / 2703 ] simplifiying candidate # 210.381 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 210.382 * * [simplify]: iters left: 6 (21 enodes) 210.391 * * [simplify]: iters left: 5 (73 enodes) 210.414 * * [simplify]: iters left: 4 (112 enodes) 210.454 * * [simplify]: iters left: 3 (211 enodes) 210.516 * * [simplify]: iters left: 2 (438 enodes) 210.723 * * [simplify]: Extracting #0: cost 1 inf + 0 210.723 * * [simplify]: Extracting #1: cost 90 inf + 0 210.724 * * [simplify]: Extracting #2: cost 162 inf + 0 210.725 * * [simplify]: Extracting #3: cost 173 inf + 0 210.726 * * [simplify]: Extracting #4: cost 165 inf + 1554 210.727 * * [simplify]: Extracting #5: cost 151 inf + 4615 210.738 * * [simplify]: Extracting #6: cost 62 inf + 47621 210.771 * * [simplify]: Extracting #7: cost 4 inf + 82252 210.806 * * [simplify]: Extracting #8: cost 0 inf + 84626 210.843 * * [simplify]: Extracting #9: cost 0 inf + 84586 210.861 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt 2))) 210.861 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 210.862 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 210.862 * * [simplify]: iters left: 6 (19 enodes) 210.867 * * [simplify]: iters left: 5 (64 enodes) 210.878 * * [simplify]: iters left: 4 (87 enodes) 210.904 * * [simplify]: iters left: 3 (132 enodes) 210.926 * * [simplify]: iters left: 2 (202 enodes) 211.000 * * [simplify]: iters left: 1 (301 enodes) 211.078 * * [simplify]: Extracting #0: cost 1 inf + 0 211.078 * * [simplify]: Extracting #1: cost 39 inf + 0 211.078 * * [simplify]: Extracting #2: cost 76 inf + 0 211.079 * * [simplify]: Extracting #3: cost 84 inf + 0 211.079 * * [simplify]: Extracting #4: cost 79 inf + 569 211.080 * * [simplify]: Extracting #5: cost 60 inf + 4716 211.081 * * [simplify]: Extracting #6: cost 55 inf + 6064 211.084 * * [simplify]: Extracting #7: cost 28 inf + 18407 211.096 * * [simplify]: Extracting #8: cost 1 inf + 32137 211.110 * * [simplify]: Extracting #9: cost 0 inf + 32761 211.120 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) 211.121 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))))) 211.121 * * * * [progress]: [ 441 / 2703 ] simplifiying candidate # 211.121 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 211.121 * * [simplify]: iters left: 6 (23 enodes) 211.129 * * [simplify]: iters left: 5 (79 enodes) 211.141 * * [simplify]: iters left: 4 (119 enodes) 211.173 * * [simplify]: iters left: 3 (241 enodes) 211.266 * * [simplify]: Extracting #0: cost 1 inf + 0 211.266 * * [simplify]: Extracting #1: cost 76 inf + 0 211.267 * * [simplify]: Extracting #2: cost 169 inf + 0 211.268 * * [simplify]: Extracting #3: cost 178 inf + 0 211.269 * * [simplify]: Extracting #4: cost 172 inf + 849 211.271 * * [simplify]: Extracting #5: cost 160 inf + 5355 211.276 * * [simplify]: Extracting #6: cost 117 inf + 19945 211.298 * * [simplify]: Extracting #7: cost 25 inf + 75047 211.329 * * [simplify]: Extracting #8: cost 0 inf + 91660 211.363 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 211.363 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 211.364 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 211.364 * * [simplify]: iters left: 6 (21 enodes) 211.374 * * [simplify]: iters left: 5 (70 enodes) 211.396 * * [simplify]: iters left: 4 (94 enodes) 211.418 * * [simplify]: iters left: 3 (159 enodes) 211.456 * * [simplify]: iters left: 2 (287 enodes) 211.555 * * [simplify]: iters left: 1 (471 enodes) 211.747 * * [simplify]: Extracting #0: cost 1 inf + 0 211.747 * * [simplify]: Extracting #1: cost 53 inf + 0 211.748 * * [simplify]: Extracting #2: cost 106 inf + 0 211.748 * * [simplify]: Extracting #3: cost 116 inf + 0 211.749 * * [simplify]: Extracting #4: cost 113 inf + 366 211.749 * * [simplify]: Extracting #5: cost 107 inf + 1999 211.750 * * [simplify]: Extracting #6: cost 92 inf + 5942 211.754 * * [simplify]: Extracting #7: cost 54 inf + 23554 211.765 * * [simplify]: Extracting #8: cost 6 inf + 49371 211.777 * * [simplify]: Extracting #9: cost 0 inf + 52552 211.791 * [simplify]: Simplified to (/ (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 211.791 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 211.792 * * * * [progress]: [ 442 / 2703 ] simplifiying candidate # 211.792 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 211.792 * * [simplify]: iters left: 6 (23 enodes) 211.804 * * [simplify]: iters left: 5 (81 enodes) 211.826 * * [simplify]: iters left: 4 (111 enodes) 211.844 * * [simplify]: iters left: 3 (189 enodes) 211.890 * * [simplify]: iters left: 2 (331 enodes) 212.042 * * [simplify]: Extracting #0: cost 1 inf + 0 212.042 * * [simplify]: Extracting #1: cost 61 inf + 0 212.043 * * [simplify]: Extracting #2: cost 108 inf + 1 212.043 * * [simplify]: Extracting #3: cost 117 inf + 1 212.044 * * [simplify]: Extracting #4: cost 112 inf + 689 212.045 * * [simplify]: Extracting #5: cost 91 inf + 7334 212.047 * * [simplify]: Extracting #6: cost 69 inf + 14094 212.053 * * [simplify]: Extracting #7: cost 33 inf + 30523 212.072 * * [simplify]: Extracting #8: cost 1 inf + 50326 212.092 * * [simplify]: Extracting #9: cost 0 inf + 50950 212.113 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 212.113 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 212.114 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 212.114 * * [simplify]: iters left: 6 (20 enodes) 212.123 * * [simplify]: iters left: 5 (67 enodes) 212.137 * * [simplify]: iters left: 4 (91 enodes) 212.155 * * [simplify]: iters left: 3 (156 enodes) 212.207 * * [simplify]: iters left: 2 (284 enodes) 212.307 * * [simplify]: iters left: 1 (469 enodes) 212.463 * * [simplify]: Extracting #0: cost 1 inf + 0 212.464 * * [simplify]: Extracting #1: cost 53 inf + 0 212.464 * * [simplify]: Extracting #2: cost 106 inf + 0 212.465 * * [simplify]: Extracting #3: cost 117 inf + 0 212.466 * * [simplify]: Extracting #4: cost 112 inf + 1091 212.469 * * [simplify]: Extracting #5: cost 97 inf + 3691 212.472 * * [simplify]: Extracting #6: cost 49 inf + 25350 212.483 * * [simplify]: Extracting #7: cost 4 inf + 47875 212.494 * * [simplify]: Extracting #8: cost 0 inf + 50108 212.505 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 212.505 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 212.505 * * * * [progress]: [ 443 / 2703 ] simplifiying candidate # 212.506 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 212.506 * * [simplify]: iters left: 6 (23 enodes) 212.511 * * [simplify]: iters left: 5 (79 enodes) 212.534 * * [simplify]: iters left: 4 (119 enodes) 212.576 * * [simplify]: iters left: 3 (241 enodes) 212.692 * * [simplify]: Extracting #0: cost 1 inf + 0 212.693 * * [simplify]: Extracting #1: cost 76 inf + 0 212.694 * * [simplify]: Extracting #2: cost 169 inf + 0 212.695 * * [simplify]: Extracting #3: cost 178 inf + 0 212.696 * * [simplify]: Extracting #4: cost 172 inf + 849 212.698 * * [simplify]: Extracting #5: cost 160 inf + 5355 212.705 * * [simplify]: Extracting #6: cost 117 inf + 19945 212.723 * * [simplify]: Extracting #7: cost 25 inf + 75047 212.742 * * [simplify]: Extracting #8: cost 0 inf + 91660 212.773 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 212.773 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 212.774 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 212.774 * * [simplify]: iters left: 6 (21 enodes) 212.784 * * [simplify]: iters left: 5 (70 enodes) 212.800 * * [simplify]: iters left: 4 (94 enodes) 212.815 * * [simplify]: iters left: 3 (159 enodes) 212.847 * * [simplify]: iters left: 2 (287 enodes) 212.943 * * [simplify]: iters left: 1 (471 enodes) 213.155 * * [simplify]: Extracting #0: cost 1 inf + 0 213.155 * * [simplify]: Extracting #1: cost 53 inf + 0 213.156 * * [simplify]: Extracting #2: cost 106 inf + 0 213.157 * * [simplify]: Extracting #3: cost 116 inf + 0 213.158 * * [simplify]: Extracting #4: cost 113 inf + 366 213.159 * * [simplify]: Extracting #5: cost 107 inf + 1999 213.161 * * [simplify]: Extracting #6: cost 92 inf + 5942 213.165 * * [simplify]: Extracting #7: cost 54 inf + 23554 213.177 * * [simplify]: Extracting #8: cost 6 inf + 49371 213.189 * * [simplify]: Extracting #9: cost 0 inf + 52552 213.211 * [simplify]: Simplified to (/ (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 213.211 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 213.211 * * * * [progress]: [ 444 / 2703 ] simplifiying candidate # 213.212 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 213.212 * * [simplify]: iters left: 6 (22 enodes) 213.224 * * [simplify]: iters left: 5 (76 enodes) 213.247 * * [simplify]: iters left: 4 (108 enodes) 213.268 * * [simplify]: iters left: 3 (192 enodes) 213.324 * * [simplify]: iters left: 2 (350 enodes) 213.504 * * [simplify]: Extracting #0: cost 1 inf + 0 213.504 * * [simplify]: Extracting #1: cost 62 inf + 0 213.504 * * [simplify]: Extracting #2: cost 105 inf + 1 213.505 * * [simplify]: Extracting #3: cost 114 inf + 1 213.505 * * [simplify]: Extracting #4: cost 108 inf + 730 213.506 * * [simplify]: Extracting #5: cost 92 inf + 5704 213.509 * * [simplify]: Extracting #6: cost 65 inf + 14334 213.514 * * [simplify]: Extracting #7: cost 27 inf + 33035 213.529 * * [simplify]: Extracting #8: cost 1 inf + 49538 213.549 * * [simplify]: Extracting #9: cost 0 inf + 50322 213.569 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 213.569 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 213.570 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 213.570 * * [simplify]: iters left: 6 (20 enodes) 213.579 * * [simplify]: iters left: 5 (67 enodes) 213.593 * * [simplify]: iters left: 4 (91 enodes) 213.609 * * [simplify]: iters left: 3 (156 enodes) 213.650 * * [simplify]: iters left: 2 (284 enodes) 213.764 * * [simplify]: iters left: 1 (469 enodes) 213.957 * * [simplify]: Extracting #0: cost 1 inf + 0 213.957 * * [simplify]: Extracting #1: cost 53 inf + 0 213.958 * * [simplify]: Extracting #2: cost 106 inf + 0 213.959 * * [simplify]: Extracting #3: cost 117 inf + 0 213.960 * * [simplify]: Extracting #4: cost 112 inf + 1091 213.961 * * [simplify]: Extracting #5: cost 97 inf + 3691 213.968 * * [simplify]: Extracting #6: cost 49 inf + 25350 213.989 * * [simplify]: Extracting #7: cost 4 inf + 47875 214.011 * * [simplify]: Extracting #8: cost 0 inf + 50108 214.027 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 214.027 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 214.027 * * * * [progress]: [ 445 / 2703 ] simplifiying candidate # 214.028 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 214.028 * * [simplify]: iters left: 6 (25 enodes) 214.035 * * [simplify]: iters left: 5 (89 enodes) 214.053 * * [simplify]: iters left: 4 (139 enodes) 214.092 * * [simplify]: iters left: 3 (297 enodes) 214.209 * * [simplify]: Extracting #0: cost 1 inf + 0 214.210 * * [simplify]: Extracting #1: cost 94 inf + 0 214.211 * * [simplify]: Extracting #2: cost 215 inf + 1 214.213 * * [simplify]: Extracting #3: cost 224 inf + 1 214.215 * * [simplify]: Extracting #4: cost 210 inf + 2184 214.217 * * [simplify]: Extracting #5: cost 200 inf + 6475 214.220 * * [simplify]: Extracting #6: cost 193 inf + 6984 214.223 * * [simplify]: Extracting #7: cost 178 inf + 12608 214.227 * * [simplify]: Extracting #8: cost 144 inf + 28125 214.241 * * [simplify]: Extracting #9: cost 28 inf + 94000 214.274 * * [simplify]: Extracting #10: cost 0 inf + 109872 214.299 * [simplify]: Simplified to (/ (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 214.299 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 214.299 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 214.299 * * [simplify]: iters left: 6 (19 enodes) 214.306 * * [simplify]: iters left: 5 (64 enodes) 214.318 * * [simplify]: iters left: 4 (87 enodes) 214.332 * * [simplify]: iters left: 3 (146 enodes) 214.374 * * [simplify]: iters left: 2 (240 enodes) 214.433 * * [simplify]: iters left: 1 (333 enodes) 214.540 * * [simplify]: Extracting #0: cost 1 inf + 0 214.540 * * [simplify]: Extracting #1: cost 38 inf + 0 214.541 * * [simplify]: Extracting #2: cost 75 inf + 0 214.541 * * [simplify]: Extracting #3: cost 82 inf + 0 214.542 * * [simplify]: Extracting #4: cost 78 inf + 327 214.543 * * [simplify]: Extracting #5: cost 71 inf + 2984 214.544 * * [simplify]: Extracting #6: cost 64 inf + 3753 214.547 * * [simplify]: Extracting #7: cost 45 inf + 10342 214.560 * * [simplify]: Extracting #8: cost 4 inf + 32117 214.575 * * [simplify]: Extracting #9: cost 0 inf + 34311 214.590 * [simplify]: Simplified to (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 214.590 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 214.590 * * * * [progress]: [ 446 / 2703 ] simplifiying candidate # 214.590 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 214.591 * * [simplify]: iters left: 6 (22 enodes) 214.602 * * [simplify]: iters left: 5 (78 enodes) 214.628 * * [simplify]: iters left: 4 (119 enodes) 214.670 * * [simplify]: iters left: 3 (219 enodes) 214.749 * * [simplify]: iters left: 2 (408 enodes) 214.966 * * [simplify]: Extracting #0: cost 1 inf + 0 214.966 * * [simplify]: Extracting #1: cost 116 inf + 0 214.967 * * [simplify]: Extracting #2: cost 286 inf + 1 214.968 * * [simplify]: Extracting #3: cost 297 inf + 1 214.970 * * [simplify]: Extracting #4: cost 289 inf + 1396 214.972 * * [simplify]: Extracting #5: cost 212 inf + 19845 214.978 * * [simplify]: Extracting #6: cost 165 inf + 40152 215.010 * * [simplify]: Extracting #7: cost 29 inf + 105072 215.058 * * [simplify]: Extracting #8: cost 0 inf + 120525 215.103 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 215.103 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 215.104 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 215.104 * * [simplify]: iters left: 6 (16 enodes) 215.112 * * [simplify]: iters left: 5 (55 enodes) 215.129 * * [simplify]: iters left: 4 (75 enodes) 215.153 * * [simplify]: iters left: 3 (109 enodes) 215.177 * * [simplify]: iters left: 2 (156 enodes) 215.212 * * [simplify]: iters left: 1 (203 enodes) 215.266 * * [simplify]: Extracting #0: cost 1 inf + 0 215.267 * * [simplify]: Extracting #1: cost 28 inf + 0 215.267 * * [simplify]: Extracting #2: cost 55 inf + 0 215.267 * * [simplify]: Extracting #3: cost 62 inf + 0 215.267 * * [simplify]: Extracting #4: cost 60 inf + 266 215.268 * * [simplify]: Extracting #5: cost 48 inf + 1740 215.270 * * [simplify]: Extracting #6: cost 13 inf + 14677 215.274 * * [simplify]: Extracting #7: cost 0 inf + 20960 215.278 * [simplify]: Simplified to (/ (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 215.278 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 215.278 * * * * [progress]: [ 447 / 2703 ] simplifiying candidate # 215.278 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 215.278 * * [simplify]: iters left: 6 (24 enodes) 215.285 * * [simplify]: iters left: 5 (84 enodes) 215.305 * * [simplify]: iters left: 4 (126 enodes) 215.349 * * [simplify]: iters left: 3 (239 enodes) 215.459 * * [simplify]: Extracting #0: cost 1 inf + 0 215.459 * * [simplify]: Extracting #1: cost 66 inf + 0 215.459 * * [simplify]: Extracting #2: cost 134 inf + 1 215.460 * * [simplify]: Extracting #3: cost 142 inf + 1 215.460 * * [simplify]: Extracting #4: cost 134 inf + 1134 215.461 * * [simplify]: Extracting #5: cost 122 inf + 5105 215.462 * * [simplify]: Extracting #6: cost 112 inf + 7545 215.465 * * [simplify]: Extracting #7: cost 87 inf + 15454 215.470 * * [simplify]: Extracting #8: cost 51 inf + 33262 215.489 * * [simplify]: Extracting #9: cost 10 inf + 54552 215.501 * * [simplify]: Extracting #10: cost 0 inf + 59828 215.513 * [simplify]: Simplified to (* (cbrt (cos th)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) 215.513 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 215.513 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 215.513 * * [simplify]: iters left: 6 (19 enodes) 215.518 * * [simplify]: iters left: 5 (64 enodes) 215.536 * * [simplify]: iters left: 4 (87 enodes) 215.551 * * [simplify]: iters left: 3 (146 enodes) 215.594 * * [simplify]: iters left: 2 (240 enodes) 215.661 * * [simplify]: iters left: 1 (333 enodes) 215.749 * * [simplify]: Extracting #0: cost 1 inf + 0 215.750 * * [simplify]: Extracting #1: cost 38 inf + 0 215.750 * * [simplify]: Extracting #2: cost 75 inf + 0 215.751 * * [simplify]: Extracting #3: cost 82 inf + 0 215.751 * * [simplify]: Extracting #4: cost 78 inf + 327 215.752 * * [simplify]: Extracting #5: cost 71 inf + 2984 215.754 * * [simplify]: Extracting #6: cost 64 inf + 3753 215.756 * * [simplify]: Extracting #7: cost 45 inf + 10182 215.767 * * [simplify]: Extracting #8: cost 4 inf + 30797 215.782 * * [simplify]: Extracting #9: cost 0 inf + 32831 215.797 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 215.797 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 215.798 * * * * [progress]: [ 448 / 2703 ] simplifiying candidate # 215.798 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt 1))) 215.798 * * [simplify]: iters left: 6 (22 enodes) 215.805 * * [simplify]: iters left: 5 (78 enodes) 215.819 * * [simplify]: iters left: 4 (108 enodes) 215.837 * * [simplify]: iters left: 3 (154 enodes) 215.879 * * [simplify]: iters left: 2 (290 enodes) 216.065 * * [simplify]: iters left: 1 (483 enodes) 216.360 * * [simplify]: Extracting #0: cost 1 inf + 0 216.360 * * [simplify]: Extracting #1: cost 33 inf + 0 216.361 * * [simplify]: Extracting #2: cost 89 inf + 1 216.361 * * [simplify]: Extracting #3: cost 96 inf + 1 216.362 * * [simplify]: Extracting #4: cost 88 inf + 1213 216.364 * * [simplify]: Extracting #5: cost 79 inf + 4337 216.367 * * [simplify]: Extracting #6: cost 71 inf + 5631 216.371 * * [simplify]: Extracting #7: cost 50 inf + 12145 216.383 * * [simplify]: Extracting #8: cost 2 inf + 34335 216.399 * * [simplify]: Extracting #9: cost 0 inf + 35504 216.414 * [simplify]: Simplified to (* (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (cbrt (cos th))) 216.414 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 216.415 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 216.415 * * [simplify]: iters left: 6 (18 enodes) 216.419 * * [simplify]: iters left: 5 (61 enodes) 216.429 * * [simplify]: iters left: 4 (84 enodes) 216.444 * * [simplify]: iters left: 3 (143 enodes) 216.478 * * [simplify]: iters left: 2 (237 enodes) 216.974 * * [simplify]: iters left: 1 (330 enodes) 217.058 * * [simplify]: Extracting #0: cost 1 inf + 0 217.058 * * [simplify]: Extracting #1: cost 38 inf + 0 217.058 * * [simplify]: Extracting #2: cost 75 inf + 0 217.058 * * [simplify]: Extracting #3: cost 83 inf + 0 217.059 * * [simplify]: Extracting #4: cost 79 inf + 588 217.059 * * [simplify]: Extracting #5: cost 64 inf + 3410 217.061 * * [simplify]: Extracting #6: cost 35 inf + 14552 217.069 * * [simplify]: Extracting #7: cost 3 inf + 29336 217.082 * * [simplify]: Extracting #8: cost 0 inf + 31027 217.089 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 217.089 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (cbrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 217.089 * * * * [progress]: [ 449 / 2703 ] simplifiying candidate # 217.090 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 217.090 * * [simplify]: iters left: 6 (24 enodes) 217.097 * * [simplify]: iters left: 5 (84 enodes) 217.111 * * [simplify]: iters left: 4 (126 enodes) 217.155 * * [simplify]: iters left: 3 (239 enodes) 217.244 * * [simplify]: Extracting #0: cost 1 inf + 0 217.244 * * [simplify]: Extracting #1: cost 66 inf + 0 217.245 * * [simplify]: Extracting #2: cost 134 inf + 1 217.245 * * [simplify]: Extracting #3: cost 142 inf + 1 217.246 * * [simplify]: Extracting #4: cost 134 inf + 1134 217.247 * * [simplify]: Extracting #5: cost 122 inf + 5105 217.248 * * [simplify]: Extracting #6: cost 112 inf + 7545 217.250 * * [simplify]: Extracting #7: cost 87 inf + 15454 217.255 * * [simplify]: Extracting #8: cost 51 inf + 33262 217.265 * * [simplify]: Extracting #9: cost 10 inf + 54552 217.277 * * [simplify]: Extracting #10: cost 0 inf + 59828 217.288 * [simplify]: Simplified to (* (cbrt (cos th)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) 217.288 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 217.289 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 217.289 * * [simplify]: iters left: 6 (19 enodes) 217.293 * * [simplify]: iters left: 5 (64 enodes) 217.305 * * [simplify]: iters left: 4 (87 enodes) 217.321 * * [simplify]: iters left: 3 (146 enodes) 217.361 * * [simplify]: iters left: 2 (240 enodes) 217.418 * * [simplify]: iters left: 1 (333 enodes) 217.533 * * [simplify]: Extracting #0: cost 1 inf + 0 217.533 * * [simplify]: Extracting #1: cost 38 inf + 0 217.533 * * [simplify]: Extracting #2: cost 75 inf + 0 217.533 * * [simplify]: Extracting #3: cost 82 inf + 0 217.534 * * [simplify]: Extracting #4: cost 78 inf + 327 217.535 * * [simplify]: Extracting #5: cost 71 inf + 2984 217.536 * * [simplify]: Extracting #6: cost 64 inf + 3753 217.539 * * [simplify]: Extracting #7: cost 45 inf + 10182 217.550 * * [simplify]: Extracting #8: cost 4 inf + 30797 217.565 * * [simplify]: Extracting #9: cost 0 inf + 32831 217.573 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 217.573 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 217.573 * * * * [progress]: [ 450 / 2703 ] simplifiying candidate # 217.573 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) 1)) 217.573 * * [simplify]: iters left: 6 (22 enodes) 217.581 * * [simplify]: iters left: 5 (76 enodes) 217.596 * * [simplify]: iters left: 4 (97 enodes) 217.626 * * [simplify]: iters left: 3 (146 enodes) 217.662 * * [simplify]: iters left: 2 (236 enodes) 217.774 * * [simplify]: iters left: 1 (394 enodes) 218.030 * * [simplify]: Extracting #0: cost 1 inf + 0 218.030 * * [simplify]: Extracting #1: cost 25 inf + 0 218.030 * * [simplify]: Extracting #2: cost 48 inf + 1 218.030 * * [simplify]: Extracting #3: cost 55 inf + 1 218.031 * * [simplify]: Extracting #4: cost 52 inf + 267 218.031 * * [simplify]: Extracting #5: cost 41 inf + 3492 218.033 * * [simplify]: Extracting #6: cost 33 inf + 4844 218.034 * * [simplify]: Extracting #7: cost 21 inf + 8071 218.038 * * [simplify]: Extracting #8: cost 2 inf + 16414 218.044 * * [simplify]: Extracting #9: cost 0 inf + 17301 218.050 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) 218.050 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 218.051 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 218.051 * * [simplify]: iters left: 6 (18 enodes) 218.056 * * [simplify]: iters left: 5 (61 enodes) 218.068 * * [simplify]: iters left: 4 (84 enodes) 218.082 * * [simplify]: iters left: 3 (143 enodes) 218.118 * * [simplify]: iters left: 2 (237 enodes) 218.192 * * [simplify]: iters left: 1 (330 enodes) 218.302 * * [simplify]: Extracting #0: cost 1 inf + 0 218.302 * * [simplify]: Extracting #1: cost 38 inf + 0 218.303 * * [simplify]: Extracting #2: cost 75 inf + 0 218.303 * * [simplify]: Extracting #3: cost 83 inf + 0 218.304 * * [simplify]: Extracting #4: cost 79 inf + 588 218.305 * * [simplify]: Extracting #5: cost 64 inf + 3410 218.309 * * [simplify]: Extracting #6: cost 35 inf + 14552 218.322 * * [simplify]: Extracting #7: cost 3 inf + 29336 218.335 * * [simplify]: Extracting #8: cost 0 inf + 31027 218.345 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 218.345 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 218.346 * * * * [progress]: [ 451 / 2703 ] simplifiying candidate # 218.346 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 218.346 * * [simplify]: iters left: 6 (24 enodes) 218.352 * * [simplify]: iters left: 5 (84 enodes) 218.368 * * [simplify]: iters left: 4 (132 enodes) 218.411 * * [simplify]: iters left: 3 (299 enodes) 218.539 * * [simplify]: Extracting #0: cost 1 inf + 0 218.539 * * [simplify]: Extracting #1: cost 104 inf + 0 218.541 * * [simplify]: Extracting #2: cost 252 inf + 0 218.543 * * [simplify]: Extracting #3: cost 261 inf + 0 218.545 * * [simplify]: Extracting #4: cost 243 inf + 3867 218.549 * * [simplify]: Extracting #5: cost 224 inf + 12670 218.554 * * [simplify]: Extracting #6: cost 216 inf + 14482 218.560 * * [simplify]: Extracting #7: cost 194 inf + 23402 218.587 * * [simplify]: Extracting #8: cost 48 inf + 119295 218.626 * * [simplify]: Extracting #9: cost 0 inf + 153795 218.661 * * [simplify]: Extracting #10: cost 0 inf + 153515 218.714 * * [simplify]: Extracting #11: cost 0 inf + 153435 218.750 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 218.750 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 218.751 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 218.751 * * [simplify]: iters left: 6 (21 enodes) 218.760 * * [simplify]: iters left: 5 (70 enodes) 218.778 * * [simplify]: iters left: 4 (94 enodes) 218.807 * * [simplify]: iters left: 3 (159 enodes) 218.857 * * [simplify]: iters left: 2 (287 enodes) 218.956 * * [simplify]: iters left: 1 (471 enodes) 219.129 * * [simplify]: Extracting #0: cost 1 inf + 0 219.129 * * [simplify]: Extracting #1: cost 53 inf + 0 219.130 * * [simplify]: Extracting #2: cost 106 inf + 0 219.132 * * [simplify]: Extracting #3: cost 116 inf + 0 219.132 * * [simplify]: Extracting #4: cost 113 inf + 366 219.133 * * [simplify]: Extracting #5: cost 107 inf + 1999 219.134 * * [simplify]: Extracting #6: cost 92 inf + 5942 219.137 * * [simplify]: Extracting #7: cost 54 inf + 24034 219.148 * * [simplify]: Extracting #8: cost 6 inf + 51251 219.160 * * [simplify]: Extracting #9: cost 0 inf + 54672 219.173 * [simplify]: Simplified to (/ (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 219.174 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 219.174 * * * * [progress]: [ 452 / 2703 ] simplifiying candidate # 219.174 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 219.175 * * [simplify]: iters left: 6 (21 enodes) 219.185 * * [simplify]: iters left: 5 (73 enodes) 219.208 * * [simplify]: iters left: 4 (112 enodes) 219.244 * * [simplify]: iters left: 3 (211 enodes) 219.299 * * [simplify]: iters left: 2 (438 enodes) 219.538 * * [simplify]: Extracting #0: cost 1 inf + 0 219.539 * * [simplify]: Extracting #1: cost 90 inf + 0 219.539 * * [simplify]: Extracting #2: cost 162 inf + 0 219.540 * * [simplify]: Extracting #3: cost 173 inf + 0 219.541 * * [simplify]: Extracting #4: cost 165 inf + 1554 219.542 * * [simplify]: Extracting #5: cost 151 inf + 4615 219.549 * * [simplify]: Extracting #6: cost 62 inf + 47621 219.570 * * [simplify]: Extracting #7: cost 4 inf + 82252 219.592 * * [simplify]: Extracting #8: cost 0 inf + 84626 219.616 * * [simplify]: Extracting #9: cost 0 inf + 84586 219.646 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt 2))) 219.646 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 219.646 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 219.647 * * [simplify]: iters left: 6 (19 enodes) 219.651 * * [simplify]: iters left: 5 (64 enodes) 219.662 * * [simplify]: iters left: 4 (87 enodes) 219.683 * * [simplify]: iters left: 3 (132 enodes) 219.705 * * [simplify]: iters left: 2 (202 enodes) 219.782 * * [simplify]: iters left: 1 (301 enodes) 219.884 * * [simplify]: Extracting #0: cost 1 inf + 0 219.884 * * [simplify]: Extracting #1: cost 39 inf + 0 219.885 * * [simplify]: Extracting #2: cost 76 inf + 0 219.885 * * [simplify]: Extracting #3: cost 84 inf + 0 219.885 * * [simplify]: Extracting #4: cost 79 inf + 569 219.886 * * [simplify]: Extracting #5: cost 60 inf + 4716 219.887 * * [simplify]: Extracting #6: cost 55 inf + 6064 219.889 * * [simplify]: Extracting #7: cost 28 inf + 18407 219.895 * * [simplify]: Extracting #8: cost 1 inf + 32137 219.902 * * [simplify]: Extracting #9: cost 0 inf + 32761 219.908 * [simplify]: Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) 219.909 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))))) 219.909 * * * * [progress]: [ 453 / 2703 ] simplifiying candidate # 219.909 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 219.909 * * [simplify]: iters left: 6 (23 enodes) 219.915 * * [simplify]: iters left: 5 (79 enodes) 219.939 * * [simplify]: iters left: 4 (119 enodes) 219.980 * * [simplify]: iters left: 3 (241 enodes) 220.075 * * [simplify]: Extracting #0: cost 1 inf + 0 220.075 * * [simplify]: Extracting #1: cost 76 inf + 0 220.076 * * [simplify]: Extracting #2: cost 169 inf + 0 220.077 * * [simplify]: Extracting #3: cost 178 inf + 0 220.079 * * [simplify]: Extracting #4: cost 172 inf + 849 220.081 * * [simplify]: Extracting #5: cost 160 inf + 5355 220.086 * * [simplify]: Extracting #6: cost 117 inf + 19945 220.107 * * [simplify]: Extracting #7: cost 25 inf + 75047 220.123 * * [simplify]: Extracting #8: cost 0 inf + 91660 220.139 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 220.139 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 220.139 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 220.139 * * [simplify]: iters left: 6 (21 enodes) 220.145 * * [simplify]: iters left: 5 (70 enodes) 220.158 * * [simplify]: iters left: 4 (94 enodes) 220.179 * * [simplify]: iters left: 3 (159 enodes) 220.238 * * [simplify]: iters left: 2 (287 enodes) 220.362 * * [simplify]: iters left: 1 (471 enodes) 220.498 * * [simplify]: Extracting #0: cost 1 inf + 0 220.498 * * [simplify]: Extracting #1: cost 53 inf + 0 220.498 * * [simplify]: Extracting #2: cost 106 inf + 0 220.499 * * [simplify]: Extracting #3: cost 116 inf + 0 220.499 * * [simplify]: Extracting #4: cost 113 inf + 366 220.500 * * [simplify]: Extracting #5: cost 107 inf + 1999 220.501 * * [simplify]: Extracting #6: cost 92 inf + 5942 220.504 * * [simplify]: Extracting #7: cost 54 inf + 23554 220.515 * * [simplify]: Extracting #8: cost 6 inf + 49371 220.526 * * [simplify]: Extracting #9: cost 0 inf + 52552 220.543 * [simplify]: Simplified to (/ (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 220.543 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 220.543 * * * * [progress]: [ 454 / 2703 ] simplifiying candidate # 220.544 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 220.544 * * [simplify]: iters left: 6 (23 enodes) 220.556 * * [simplify]: iters left: 5 (81 enodes) 220.574 * * [simplify]: iters left: 4 (111 enodes) 220.593 * * [simplify]: iters left: 3 (189 enodes) 220.643 * * [simplify]: iters left: 2 (331 enodes) 220.824 * * [simplify]: Extracting #0: cost 1 inf + 0 220.825 * * [simplify]: Extracting #1: cost 61 inf + 0 220.825 * * [simplify]: Extracting #2: cost 108 inf + 1 220.826 * * [simplify]: Extracting #3: cost 117 inf + 1 220.826 * * [simplify]: Extracting #4: cost 112 inf + 689 220.828 * * [simplify]: Extracting #5: cost 91 inf + 7334 220.834 * * [simplify]: Extracting #6: cost 69 inf + 14094 220.845 * * [simplify]: Extracting #7: cost 33 inf + 30523 220.864 * * [simplify]: Extracting #8: cost 1 inf + 50326 220.884 * * [simplify]: Extracting #9: cost 0 inf + 50950 220.905 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 220.905 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 220.906 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 220.906 * * [simplify]: iters left: 6 (20 enodes) 220.915 * * [simplify]: iters left: 5 (67 enodes) 220.936 * * [simplify]: iters left: 4 (91 enodes) 220.962 * * [simplify]: iters left: 3 (156 enodes) 220.993 * * [simplify]: iters left: 2 (284 enodes) 221.098 * * [simplify]: iters left: 1 (469 enodes) 221.278 * * [simplify]: Extracting #0: cost 1 inf + 0 221.279 * * [simplify]: Extracting #1: cost 53 inf + 0 221.279 * * [simplify]: Extracting #2: cost 106 inf + 0 221.280 * * [simplify]: Extracting #3: cost 117 inf + 0 221.281 * * [simplify]: Extracting #4: cost 112 inf + 1091 221.283 * * [simplify]: Extracting #5: cost 97 inf + 3691 221.290 * * [simplify]: Extracting #6: cost 49 inf + 25350 221.313 * * [simplify]: Extracting #7: cost 4 inf + 47875 221.328 * * [simplify]: Extracting #8: cost 0 inf + 50108 221.339 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 221.340 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 221.340 * * * * [progress]: [ 455 / 2703 ] simplifiying candidate # 221.340 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 221.340 * * [simplify]: iters left: 6 (23 enodes) 221.346 * * [simplify]: iters left: 5 (79 enodes) 221.358 * * [simplify]: iters left: 4 (119 enodes) 221.382 * * [simplify]: iters left: 3 (241 enodes) 221.472 * * [simplify]: Extracting #0: cost 1 inf + 0 221.472 * * [simplify]: Extracting #1: cost 76 inf + 0 221.473 * * [simplify]: Extracting #2: cost 169 inf + 0 221.473 * * [simplify]: Extracting #3: cost 178 inf + 0 221.474 * * [simplify]: Extracting #4: cost 172 inf + 849 221.475 * * [simplify]: Extracting #5: cost 160 inf + 5355 221.477 * * [simplify]: Extracting #6: cost 117 inf + 19945 221.499 * * [simplify]: Extracting #7: cost 25 inf + 75047 221.530 * * [simplify]: Extracting #8: cost 0 inf + 91660 221.559 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 221.559 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 221.560 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 221.560 * * [simplify]: iters left: 6 (21 enodes) 221.565 * * [simplify]: iters left: 5 (70 enodes) 221.576 * * [simplify]: iters left: 4 (94 enodes) 221.592 * * [simplify]: iters left: 3 (159 enodes) 221.648 * * [simplify]: iters left: 2 (287 enodes) 221.738 * * [simplify]: iters left: 1 (471 enodes) 221.936 * * [simplify]: Extracting #0: cost 1 inf + 0 221.936 * * [simplify]: Extracting #1: cost 53 inf + 0 221.937 * * [simplify]: Extracting #2: cost 106 inf + 0 221.938 * * [simplify]: Extracting #3: cost 116 inf + 0 221.939 * * [simplify]: Extracting #4: cost 113 inf + 366 221.940 * * [simplify]: Extracting #5: cost 107 inf + 1999 221.942 * * [simplify]: Extracting #6: cost 92 inf + 5942 221.949 * * [simplify]: Extracting #7: cost 54 inf + 23554 221.969 * * [simplify]: Extracting #8: cost 6 inf + 49371 221.987 * * [simplify]: Extracting #9: cost 0 inf + 52552 221.999 * [simplify]: Simplified to (/ (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 221.999 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 221.999 * * * * [progress]: [ 456 / 2703 ] simplifiying candidate # 221.999 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 221.999 * * [simplify]: iters left: 6 (22 enodes) 222.005 * * [simplify]: iters left: 5 (76 enodes) 222.024 * * [simplify]: iters left: 4 (108 enodes) 222.061 * * [simplify]: iters left: 3 (192 enodes) 222.126 * * [simplify]: iters left: 2 (350 enodes) 222.346 * * [simplify]: Extracting #0: cost 1 inf + 0 222.346 * * [simplify]: Extracting #1: cost 62 inf + 0 222.346 * * [simplify]: Extracting #2: cost 105 inf + 1 222.347 * * [simplify]: Extracting #3: cost 114 inf + 1 222.347 * * [simplify]: Extracting #4: cost 108 inf + 730 222.348 * * [simplify]: Extracting #5: cost 92 inf + 5704 222.351 * * [simplify]: Extracting #6: cost 65 inf + 14334 222.355 * * [simplify]: Extracting #7: cost 27 inf + 33035 222.375 * * [simplify]: Extracting #8: cost 1 inf + 49538 222.392 * * [simplify]: Extracting #9: cost 0 inf + 50322 222.402 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 222.402 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 222.402 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 222.403 * * [simplify]: iters left: 6 (20 enodes) 222.407 * * [simplify]: iters left: 5 (67 enodes) 222.418 * * [simplify]: iters left: 4 (91 enodes) 222.443 * * [simplify]: iters left: 3 (156 enodes) 222.482 * * [simplify]: iters left: 2 (284 enodes) 222.551 * * [simplify]: iters left: 1 (469 enodes) 222.729 * * [simplify]: Extracting #0: cost 1 inf + 0 222.729 * * [simplify]: Extracting #1: cost 53 inf + 0 222.729 * * [simplify]: Extracting #2: cost 106 inf + 0 222.730 * * [simplify]: Extracting #3: cost 117 inf + 0 222.730 * * [simplify]: Extracting #4: cost 112 inf + 1091 222.731 * * [simplify]: Extracting #5: cost 97 inf + 3691 222.735 * * [simplify]: Extracting #6: cost 49 inf + 25350 222.746 * * [simplify]: Extracting #7: cost 4 inf + 47875 222.761 * * [simplify]: Extracting #8: cost 0 inf + 50108 222.774 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 222.774 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 222.774 * * * * [progress]: [ 457 / 2703 ] simplifiying candidate # 222.775 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 222.775 * * [simplify]: iters left: 6 (24 enodes) 222.782 * * [simplify]: iters left: 5 (86 enodes) 222.805 * * [simplify]: iters left: 4 (134 enodes) 222.851 * * [simplify]: iters left: 3 (314 enodes) 223.051 * * [simplify]: Extracting #0: cost 1 inf + 0 223.052 * * [simplify]: Extracting #1: cost 95 inf + 0 223.052 * * [simplify]: Extracting #2: cost 219 inf + 1 223.053 * * [simplify]: Extracting #3: cost 227 inf + 1 223.054 * * [simplify]: Extracting #4: cost 210 inf + 3310 223.056 * * [simplify]: Extracting #5: cost 204 inf + 6695 223.059 * * [simplify]: Extracting #6: cost 175 inf + 17071 223.081 * * [simplify]: Extracting #7: cost 29 inf + 95853 223.109 * * [simplify]: Extracting #8: cost 0 inf + 113465 223.144 * * [simplify]: Extracting #9: cost 0 inf + 113345 223.189 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 223.190 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 223.190 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 223.191 * * [simplify]: iters left: 6 (19 enodes) 223.199 * * [simplify]: iters left: 5 (64 enodes) 223.221 * * [simplify]: iters left: 4 (87 enodes) 223.249 * * [simplify]: iters left: 3 (146 enodes) 223.299 * * [simplify]: iters left: 2 (240 enodes) 223.395 * * [simplify]: iters left: 1 (333 enodes) 223.520 * * [simplify]: Extracting #0: cost 1 inf + 0 223.520 * * [simplify]: Extracting #1: cost 38 inf + 0 223.520 * * [simplify]: Extracting #2: cost 75 inf + 0 223.520 * * [simplify]: Extracting #3: cost 82 inf + 0 223.521 * * [simplify]: Extracting #4: cost 78 inf + 327 223.521 * * [simplify]: Extracting #5: cost 71 inf + 2984 223.522 * * [simplify]: Extracting #6: cost 64 inf + 3753 223.524 * * [simplify]: Extracting #7: cost 45 inf + 10342 223.530 * * [simplify]: Extracting #8: cost 4 inf + 32117 223.544 * * [simplify]: Extracting #9: cost 0 inf + 34311 223.558 * [simplify]: Simplified to (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 223.558 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 223.559 * * * * [progress]: [ 458 / 2703 ] simplifiying candidate # 223.559 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 223.559 * * [simplify]: iters left: 6 (21 enodes) 223.574 * * [simplify]: iters left: 5 (75 enodes) 223.590 * * [simplify]: iters left: 4 (112 enodes) 223.610 * * [simplify]: iters left: 3 (206 enodes) 223.672 * * [simplify]: iters left: 2 (435 enodes) 223.958 * * [simplify]: Extracting #0: cost 1 inf + 0 223.958 * * [simplify]: Extracting #1: cost 52 inf + 0 223.958 * * [simplify]: Extracting #2: cost 99 inf + 1 223.959 * * [simplify]: Extracting #3: cost 106 inf + 1 223.960 * * [simplify]: Extracting #4: cost 99 inf + 1355 223.961 * * [simplify]: Extracting #5: cost 80 inf + 5207 223.971 * * [simplify]: Extracting #6: cost 28 inf + 26532 223.991 * * [simplify]: Extracting #7: cost 3 inf + 38505 224.010 * * [simplify]: Extracting #8: cost 0 inf + 39956 224.030 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 224.030 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 224.031 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 224.031 * * [simplify]: iters left: 6 (16 enodes) 224.039 * * [simplify]: iters left: 5 (55 enodes) 224.051 * * [simplify]: iters left: 4 (75 enodes) 224.064 * * [simplify]: iters left: 3 (109 enodes) 224.091 * * [simplify]: iters left: 2 (156 enodes) 224.119 * * [simplify]: iters left: 1 (203 enodes) 224.155 * * [simplify]: Extracting #0: cost 1 inf + 0 224.155 * * [simplify]: Extracting #1: cost 28 inf + 0 224.155 * * [simplify]: Extracting #2: cost 55 inf + 0 224.155 * * [simplify]: Extracting #3: cost 62 inf + 0 224.156 * * [simplify]: Extracting #4: cost 60 inf + 266 224.156 * * [simplify]: Extracting #5: cost 48 inf + 1740 224.158 * * [simplify]: Extracting #6: cost 13 inf + 14677 224.166 * * [simplify]: Extracting #7: cost 0 inf + 20960 224.174 * [simplify]: Simplified to (/ (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 224.174 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 224.174 * * * * [progress]: [ 459 / 2703 ] simplifiying candidate # 224.175 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 224.175 * * [simplify]: iters left: 6 (23 enodes) 224.188 * * [simplify]: iters left: 5 (81 enodes) 224.212 * * [simplify]: iters left: 4 (118 enodes) 224.234 * * [simplify]: iters left: 3 (221 enodes) 224.297 * * [simplify]: iters left: 2 (450 enodes) 224.614 * * [simplify]: Extracting #0: cost 1 inf + 0 224.614 * * [simplify]: Extracting #1: cost 63 inf + 0 224.614 * * [simplify]: Extracting #2: cost 125 inf + 1 224.615 * * [simplify]: Extracting #3: cost 135 inf + 1 224.616 * * [simplify]: Extracting #4: cost 126 inf + 1436 224.617 * * [simplify]: Extracting #5: cost 118 inf + 4398 224.621 * * [simplify]: Extracting #6: cost 112 inf + 5468 224.622 * * [simplify]: Extracting #7: cost 109 inf + 5591 224.625 * * [simplify]: Extracting #8: cost 82 inf + 16190 224.640 * * [simplify]: Extracting #9: cost 18 inf + 48418 224.671 * * [simplify]: Extracting #10: cost 0 inf + 58690 224.695 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 224.696 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 224.696 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 224.696 * * [simplify]: iters left: 6 (19 enodes) 224.701 * * [simplify]: iters left: 5 (64 enodes) 224.711 * * [simplify]: iters left: 4 (87 enodes) 224.725 * * [simplify]: iters left: 3 (146 enodes) 224.779 * * [simplify]: iters left: 2 (240 enodes) 224.836 * * [simplify]: iters left: 1 (333 enodes) 224.960 * * [simplify]: Extracting #0: cost 1 inf + 0 224.960 * * [simplify]: Extracting #1: cost 38 inf + 0 224.960 * * [simplify]: Extracting #2: cost 75 inf + 0 224.961 * * [simplify]: Extracting #3: cost 82 inf + 0 224.961 * * [simplify]: Extracting #4: cost 78 inf + 327 224.962 * * [simplify]: Extracting #5: cost 71 inf + 2984 224.962 * * [simplify]: Extracting #6: cost 64 inf + 3753 224.964 * * [simplify]: Extracting #7: cost 45 inf + 10182 224.969 * * [simplify]: Extracting #8: cost 4 inf + 30797 224.977 * * [simplify]: Extracting #9: cost 0 inf + 32831 224.990 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 224.991 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 224.991 * * * * [progress]: [ 460 / 2703 ] simplifiying candidate # 224.991 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt 1))) 224.992 * * [simplify]: iters left: 6 (22 enodes) 225.006 * * [simplify]: iters left: 5 (78 enodes) 225.018 * * [simplify]: iters left: 4 (99 enodes) 225.042 * * [simplify]: iters left: 3 (148 enodes) 225.100 * * [simplify]: iters left: 2 (240 enodes) 225.259 * * [simplify]: iters left: 1 (395 enodes) 225.550 * * [simplify]: Extracting #0: cost 1 inf + 0 225.550 * * [simplify]: Extracting #1: cost 25 inf + 0 225.550 * * [simplify]: Extracting #2: cost 49 inf + 1 225.550 * * [simplify]: Extracting #3: cost 56 inf + 1 225.551 * * [simplify]: Extracting #4: cost 52 inf + 509 225.552 * * [simplify]: Extracting #5: cost 40 inf + 3975 225.553 * * [simplify]: Extracting #6: cost 34 inf + 4844 225.555 * * [simplify]: Extracting #7: cost 17 inf + 9906 225.563 * * [simplify]: Extracting #8: cost 0 inf + 17805 225.574 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (cbrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 225.574 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (cbrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 225.574 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 225.575 * * [simplify]: iters left: 6 (18 enodes) 225.583 * * [simplify]: iters left: 5 (61 enodes) 225.602 * * [simplify]: iters left: 4 (84 enodes) 225.632 * * [simplify]: iters left: 3 (143 enodes) 225.681 * * [simplify]: iters left: 2 (237 enodes) 225.758 * * [simplify]: iters left: 1 (330 enodes) 225.866 * * [simplify]: Extracting #0: cost 1 inf + 0 225.866 * * [simplify]: Extracting #1: cost 38 inf + 0 225.867 * * [simplify]: Extracting #2: cost 75 inf + 0 225.867 * * [simplify]: Extracting #3: cost 83 inf + 0 225.868 * * [simplify]: Extracting #4: cost 79 inf + 588 225.869 * * [simplify]: Extracting #5: cost 64 inf + 3410 225.874 * * [simplify]: Extracting #6: cost 35 inf + 14552 225.886 * * [simplify]: Extracting #7: cost 3 inf + 29336 225.899 * * [simplify]: Extracting #8: cost 0 inf + 31027 225.913 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 225.913 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (cbrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 225.913 * * * * [progress]: [ 461 / 2703 ] simplifiying candidate # 225.914 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 225.914 * * [simplify]: iters left: 6 (23 enodes) 225.927 * * [simplify]: iters left: 5 (81 enodes) 225.947 * * [simplify]: iters left: 4 (118 enodes) 225.974 * * [simplify]: iters left: 3 (221 enodes) 226.051 * * [simplify]: iters left: 2 (450 enodes) 226.393 * * [simplify]: Extracting #0: cost 1 inf + 0 226.393 * * [simplify]: Extracting #1: cost 63 inf + 0 226.393 * * [simplify]: Extracting #2: cost 125 inf + 1 226.394 * * [simplify]: Extracting #3: cost 135 inf + 1 226.395 * * [simplify]: Extracting #4: cost 126 inf + 1436 226.396 * * [simplify]: Extracting #5: cost 118 inf + 4398 226.397 * * [simplify]: Extracting #6: cost 112 inf + 5468 226.399 * * [simplify]: Extracting #7: cost 109 inf + 5591 226.401 * * [simplify]: Extracting #8: cost 82 inf + 16190 226.412 * * [simplify]: Extracting #9: cost 18 inf + 48418 226.444 * * [simplify]: Extracting #10: cost 0 inf + 58690 226.474 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 226.474 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 226.474 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 226.474 * * [simplify]: iters left: 6 (19 enodes) 226.483 * * [simplify]: iters left: 5 (64 enodes) 226.503 * * [simplify]: iters left: 4 (87 enodes) 226.532 * * [simplify]: iters left: 3 (146 enodes) 226.582 * * [simplify]: iters left: 2 (240 enodes) 226.634 * * [simplify]: iters left: 1 (333 enodes) 226.744 * * [simplify]: Extracting #0: cost 1 inf + 0 226.744 * * [simplify]: Extracting #1: cost 38 inf + 0 226.745 * * [simplify]: Extracting #2: cost 75 inf + 0 226.745 * * [simplify]: Extracting #3: cost 82 inf + 0 226.746 * * [simplify]: Extracting #4: cost 78 inf + 327 226.747 * * [simplify]: Extracting #5: cost 71 inf + 2984 226.748 * * [simplify]: Extracting #6: cost 64 inf + 3753 226.751 * * [simplify]: Extracting #7: cost 45 inf + 10182 226.763 * * [simplify]: Extracting #8: cost 4 inf + 30797 226.778 * * [simplify]: Extracting #9: cost 0 inf + 32831 226.793 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 226.793 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 226.793 * * * * [progress]: [ 462 / 2703 ] simplifiying candidate # 226.793 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) 1)) 226.794 * * [simplify]: iters left: 6 (21 enodes) 226.807 * * [simplify]: iters left: 5 (73 enodes) 226.829 * * [simplify]: iters left: 4 (94 enodes) 226.860 * * [simplify]: iters left: 3 (143 enodes) 226.908 * * [simplify]: iters left: 2 (235 enodes) 227.020 * * [simplify]: iters left: 1 (391 enodes) 227.272 * * [simplify]: Extracting #0: cost 1 inf + 0 227.272 * * [simplify]: Extracting #1: cost 25 inf + 0 227.272 * * [simplify]: Extracting #2: cost 49 inf + 1 227.273 * * [simplify]: Extracting #3: cost 56 inf + 1 227.273 * * [simplify]: Extracting #4: cost 53 inf + 267 227.274 * * [simplify]: Extracting #5: cost 42 inf + 3591 227.275 * * [simplify]: Extracting #6: cost 34 inf + 4844 227.277 * * [simplify]: Extracting #7: cost 17 inf + 10026 227.286 * * [simplify]: Extracting #8: cost 0 inf + 17805 227.297 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 227.297 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 227.297 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 227.297 * * [simplify]: iters left: 6 (18 enodes) 227.306 * * [simplify]: iters left: 5 (61 enodes) 227.322 * * [simplify]: iters left: 4 (84 enodes) 227.335 * * [simplify]: iters left: 3 (143 enodes) 227.378 * * [simplify]: iters left: 2 (237 enodes) 227.456 * * [simplify]: iters left: 1 (330 enodes) 227.543 * * [simplify]: Extracting #0: cost 1 inf + 0 227.543 * * [simplify]: Extracting #1: cost 38 inf + 0 227.543 * * [simplify]: Extracting #2: cost 75 inf + 0 227.543 * * [simplify]: Extracting #3: cost 83 inf + 0 227.544 * * [simplify]: Extracting #4: cost 79 inf + 588 227.544 * * [simplify]: Extracting #5: cost 64 inf + 3410 227.546 * * [simplify]: Extracting #6: cost 35 inf + 14552 227.553 * * [simplify]: Extracting #7: cost 3 inf + 29336 227.561 * * [simplify]: Extracting #8: cost 0 inf + 31027 227.574 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 227.574 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 227.575 * * * * [progress]: [ 463 / 2703 ] simplifiying candidate # 227.575 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 227.575 * * [simplify]: iters left: 6 (24 enodes) 227.585 * * [simplify]: iters left: 5 (88 enodes) 227.601 * * [simplify]: iters left: 4 (164 enodes) 227.659 * * [simplify]: iters left: 3 (477 enodes) 227.967 * * [simplify]: Extracting #0: cost 1 inf + 0 227.967 * * [simplify]: Extracting #1: cost 187 inf + 0 227.971 * * [simplify]: Extracting #2: cost 467 inf + 0 227.975 * * [simplify]: Extracting #3: cost 478 inf + 0 227.980 * * [simplify]: Extracting #4: cost 473 inf + 768 227.986 * * [simplify]: Extracting #5: cost 451 inf + 9252 228.002 * * [simplify]: Extracting #6: cost 307 inf + 91928 228.059 * * [simplify]: Extracting #7: cost 36 inf + 285533 228.152 * * [simplify]: Extracting #8: cost 0 inf + 310981 228.241 * * [simplify]: Extracting #9: cost 0 inf + 310941 228.361 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 228.361 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 228.362 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 228.362 * * [simplify]: iters left: 6 (20 enodes) 228.372 * * [simplify]: iters left: 5 (67 enodes) 228.393 * * [simplify]: iters left: 4 (91 enodes) 228.417 * * [simplify]: iters left: 3 (156 enodes) 228.454 * * [simplify]: iters left: 2 (284 enodes) 228.588 * * [simplify]: iters left: 1 (471 enodes) 228.761 * * [simplify]: Extracting #0: cost 1 inf + 0 228.761 * * [simplify]: Extracting #1: cost 53 inf + 0 228.762 * * [simplify]: Extracting #2: cost 105 inf + 0 228.762 * * [simplify]: Extracting #3: cost 114 inf + 0 228.763 * * [simplify]: Extracting #4: cost 109 inf + 789 228.763 * * [simplify]: Extracting #5: cost 102 inf + 3566 228.764 * * [simplify]: Extracting #6: cost 90 inf + 6544 228.767 * * [simplify]: Extracting #7: cost 65 inf + 17078 228.772 * * [simplify]: Extracting #8: cost 37 inf + 33090 228.792 * * [simplify]: Extracting #9: cost 2 inf + 52803 228.816 * * [simplify]: Extracting #10: cost 0 inf + 54310 228.839 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 228.839 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))))) 228.839 * * * * [progress]: [ 464 / 2703 ] simplifiying candidate # 228.840 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 228.840 * * [simplify]: iters left: 6 (21 enodes) 228.850 * * [simplify]: iters left: 5 (75 enodes) 228.878 * * [simplify]: iters left: 4 (125 enodes) 228.928 * * [simplify]: iters left: 3 (304 enodes) 229.077 * * [simplify]: Extracting #0: cost 1 inf + 0 229.077 * * [simplify]: Extracting #1: cost 105 inf + 0 229.079 * * [simplify]: Extracting #2: cost 231 inf + 0 229.081 * * [simplify]: Extracting #3: cost 237 inf + 0 229.083 * * [simplify]: Extracting #4: cost 225 inf + 2317 229.088 * * [simplify]: Extracting #5: cost 187 inf + 18655 229.099 * * [simplify]: Extracting #6: cost 134 inf + 43522 229.140 * * [simplify]: Extracting #7: cost 22 inf + 115113 229.188 * * [simplify]: Extracting #8: cost 0 inf + 129616 229.222 * * [simplify]: Extracting #9: cost 0 inf + 129576 229.263 * [simplify]: Simplified to (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) 229.263 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 229.264 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 229.264 * * [simplify]: iters left: 6 (18 enodes) 229.273 * * [simplify]: iters left: 5 (61 enodes) 229.292 * * [simplify]: iters left: 4 (84 enodes) 229.319 * * [simplify]: iters left: 3 (129 enodes) 229.364 * * [simplify]: iters left: 2 (199 enodes) 229.441 * * [simplify]: iters left: 1 (298 enodes) 229.565 * * [simplify]: Extracting #0: cost 1 inf + 0 229.565 * * [simplify]: Extracting #1: cost 39 inf + 0 229.566 * * [simplify]: Extracting #2: cost 75 inf + 0 229.566 * * [simplify]: Extracting #3: cost 82 inf + 0 229.567 * * [simplify]: Extracting #4: cost 79 inf + 467 229.568 * * [simplify]: Extracting #5: cost 61 inf + 4894 229.570 * * [simplify]: Extracting #6: cost 55 inf + 5902 229.575 * * [simplify]: Extracting #7: cost 27 inf + 17927 229.587 * * [simplify]: Extracting #8: cost 1 inf + 31996 229.601 * * [simplify]: Extracting #9: cost 0 inf + 32479 229.610 * [simplify]: Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 229.610 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 229.610 * * * * [progress]: [ 465 / 2703 ] simplifiying candidate # 229.611 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 229.611 * * [simplify]: iters left: 6 (23 enodes) 229.617 * * [simplify]: iters left: 5 (81 enodes) 229.630 * * [simplify]: iters left: 4 (133 enodes) 229.672 * * [simplify]: iters left: 3 (339 enodes) 229.884 * * [simplify]: Extracting #0: cost 1 inf + 0 229.885 * * [simplify]: Extracting #1: cost 127 inf + 0 229.887 * * [simplify]: Extracting #2: cost 292 inf + 0 229.890 * * [simplify]: Extracting #3: cost 300 inf + 0 229.893 * * [simplify]: Extracting #4: cost 287 inf + 2699 229.901 * * [simplify]: Extracting #5: cost 251 inf + 18233 229.909 * * [simplify]: Extracting #6: cost 227 inf + 25617 229.929 * * [simplify]: Extracting #7: cost 149 inf + 71127 229.987 * * [simplify]: Extracting #8: cost 10 inf + 165577 230.030 * * [simplify]: Extracting #9: cost 0 inf + 172554 230.085 * [simplify]: Simplified to (/ (* (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 230.085 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 230.086 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 230.086 * * [simplify]: iters left: 6 (20 enodes) 230.094 * * [simplify]: iters left: 5 (67 enodes) 230.105 * * [simplify]: iters left: 4 (91 enodes) 230.122 * * [simplify]: iters left: 3 (156 enodes) 230.183 * * [simplify]: iters left: 2 (284 enodes) 230.299 * * [simplify]: iters left: 1 (471 enodes) 230.490 * * [simplify]: Extracting #0: cost 1 inf + 0 230.491 * * [simplify]: Extracting #1: cost 53 inf + 0 230.491 * * [simplify]: Extracting #2: cost 105 inf + 0 230.492 * * [simplify]: Extracting #3: cost 114 inf + 0 230.494 * * [simplify]: Extracting #4: cost 109 inf + 789 230.495 * * [simplify]: Extracting #5: cost 102 inf + 3566 230.497 * * [simplify]: Extracting #6: cost 90 inf + 6544 230.502 * * [simplify]: Extracting #7: cost 65 inf + 17078 230.512 * * [simplify]: Extracting #8: cost 37 inf + 32410 230.534 * * [simplify]: Extracting #9: cost 2 inf + 50763 230.560 * * [simplify]: Extracting #10: cost 0 inf + 52190 230.575 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 230.575 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))))) 230.575 * * * * [progress]: [ 466 / 2703 ] simplifiying candidate # 230.576 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 230.576 * * [simplify]: iters left: 6 (23 enodes) 230.582 * * [simplify]: iters left: 5 (83 enodes) 230.597 * * [simplify]: iters left: 4 (125 enodes) 230.641 * * [simplify]: iters left: 3 (277 enodes) 230.754 * * [simplify]: Extracting #0: cost 1 inf + 0 230.754 * * [simplify]: Extracting #1: cost 85 inf + 0 230.755 * * [simplify]: Extracting #2: cost 172 inf + 1 230.757 * * [simplify]: Extracting #3: cost 180 inf + 1 230.758 * * [simplify]: Extracting #4: cost 174 inf + 991 230.761 * * [simplify]: Extracting #5: cost 156 inf + 7930 230.769 * * [simplify]: Extracting #6: cost 84 inf + 35890 230.791 * * [simplify]: Extracting #7: cost 12 inf + 78560 230.806 * * [simplify]: Extracting #8: cost 0 inf + 85945 230.827 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 230.827 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 230.828 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 230.828 * * [simplify]: iters left: 6 (19 enodes) 230.837 * * [simplify]: iters left: 5 (64 enodes) 230.852 * * [simplify]: iters left: 4 (88 enodes) 230.867 * * [simplify]: iters left: 3 (153 enodes) 230.904 * * [simplify]: iters left: 2 (280 enodes) 230.990 * * [simplify]: iters left: 1 (464 enodes) 231.141 * * [simplify]: Extracting #0: cost 1 inf + 0 231.141 * * [simplify]: Extracting #1: cost 53 inf + 0 231.142 * * [simplify]: Extracting #2: cost 105 inf + 0 231.143 * * [simplify]: Extracting #3: cost 115 inf + 0 231.144 * * [simplify]: Extracting #4: cost 112 inf + 427 231.145 * * [simplify]: Extracting #5: cost 94 inf + 4252 231.153 * * [simplify]: Extracting #6: cost 46 inf + 25634 231.172 * * [simplify]: Extracting #7: cost 0 inf + 49746 231.194 * [simplify]: Simplified to (/ (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 231.194 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 231.194 * * * * [progress]: [ 467 / 2703 ] simplifiying candidate # 231.195 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 231.195 * * [simplify]: iters left: 6 (23 enodes) 231.206 * * [simplify]: iters left: 5 (81 enodes) 231.231 * * [simplify]: iters left: 4 (133 enodes) 231.259 * * [simplify]: iters left: 3 (339 enodes) 231.492 * * [simplify]: Extracting #0: cost 1 inf + 0 231.493 * * [simplify]: Extracting #1: cost 127 inf + 0 231.495 * * [simplify]: Extracting #2: cost 292 inf + 0 231.497 * * [simplify]: Extracting #3: cost 300 inf + 0 231.500 * * [simplify]: Extracting #4: cost 287 inf + 2699 231.506 * * [simplify]: Extracting #5: cost 251 inf + 18233 231.513 * * [simplify]: Extracting #6: cost 227 inf + 25617 231.533 * * [simplify]: Extracting #7: cost 149 inf + 71127 231.591 * * [simplify]: Extracting #8: cost 10 inf + 165577 231.635 * * [simplify]: Extracting #9: cost 0 inf + 172554 231.697 * [simplify]: Simplified to (/ (* (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 231.697 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 231.697 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 231.698 * * [simplify]: iters left: 6 (20 enodes) 231.702 * * [simplify]: iters left: 5 (67 enodes) 231.713 * * [simplify]: iters left: 4 (91 enodes) 231.728 * * [simplify]: iters left: 3 (156 enodes) 231.761 * * [simplify]: iters left: 2 (284 enodes) 231.860 * * [simplify]: iters left: 1 (471 enodes) 232.021 * * [simplify]: Extracting #0: cost 1 inf + 0 232.021 * * [simplify]: Extracting #1: cost 53 inf + 0 232.021 * * [simplify]: Extracting #2: cost 105 inf + 0 232.022 * * [simplify]: Extracting #3: cost 114 inf + 0 232.022 * * [simplify]: Extracting #4: cost 109 inf + 789 232.023 * * [simplify]: Extracting #5: cost 102 inf + 3566 232.024 * * [simplify]: Extracting #6: cost 90 inf + 6544 232.027 * * [simplify]: Extracting #7: cost 65 inf + 17078 232.034 * * [simplify]: Extracting #8: cost 37 inf + 32410 232.045 * * [simplify]: Extracting #9: cost 2 inf + 50763 232.057 * * [simplify]: Extracting #10: cost 0 inf + 52190 232.075 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 232.075 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))))) 232.076 * * * * [progress]: [ 468 / 2703 ] simplifiying candidate # 232.076 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 232.076 * * [simplify]: iters left: 6 (22 enodes) 232.088 * * [simplify]: iters left: 5 (78 enodes) 232.114 * * [simplify]: iters left: 4 (128 enodes) 232.163 * * [simplify]: iters left: 3 (294 enodes) 232.331 * * [simplify]: Extracting #0: cost 1 inf + 0 232.331 * * [simplify]: Extracting #1: cost 83 inf + 0 232.332 * * [simplify]: Extracting #2: cost 174 inf + 1 232.334 * * [simplify]: Extracting #3: cost 182 inf + 1 232.335 * * [simplify]: Extracting #4: cost 176 inf + 730 232.338 * * [simplify]: Extracting #5: cost 159 inf + 7029 232.347 * * [simplify]: Extracting #6: cost 89 inf + 33163 232.371 * * [simplify]: Extracting #7: cost 9 inf + 80637 232.387 * * [simplify]: Extracting #8: cost 0 inf + 86453 232.403 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 232.403 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 232.404 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 232.404 * * [simplify]: iters left: 6 (19 enodes) 232.409 * * [simplify]: iters left: 5 (64 enodes) 232.419 * * [simplify]: iters left: 4 (88 enodes) 232.436 * * [simplify]: iters left: 3 (153 enodes) 232.496 * * [simplify]: iters left: 2 (280 enodes) 232.589 * * [simplify]: iters left: 1 (464 enodes) 232.772 * * [simplify]: Extracting #0: cost 1 inf + 0 232.772 * * [simplify]: Extracting #1: cost 53 inf + 0 232.772 * * [simplify]: Extracting #2: cost 105 inf + 0 232.773 * * [simplify]: Extracting #3: cost 115 inf + 0 232.773 * * [simplify]: Extracting #4: cost 112 inf + 427 232.774 * * [simplify]: Extracting #5: cost 94 inf + 4252 232.778 * * [simplify]: Extracting #6: cost 46 inf + 25634 232.788 * * [simplify]: Extracting #7: cost 0 inf + 49746 232.805 * [simplify]: Simplified to (/ (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 232.805 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 232.806 * * * * [progress]: [ 469 / 2703 ] simplifiying candidate # 232.806 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 232.807 * * [simplify]: iters left: 6 (23 enodes) 232.818 * * [simplify]: iters left: 5 (81 enodes) 232.833 * * [simplify]: iters left: 4 (129 enodes) 232.858 * * [simplify]: iters left: 3 (296 enodes) 232.991 * * [simplify]: Extracting #0: cost 1 inf + 0 232.992 * * [simplify]: Extracting #1: cost 104 inf + 0 232.993 * * [simplify]: Extracting #2: cost 251 inf + 0 232.995 * * [simplify]: Extracting #3: cost 259 inf + 0 232.997 * * [simplify]: Extracting #4: cost 255 inf + 707 233.000 * * [simplify]: Extracting #5: cost 250 inf + 2399 233.005 * * [simplify]: Extracting #6: cost 199 inf + 18508 233.017 * * [simplify]: Extracting #7: cost 156 inf + 42530 233.057 * * [simplify]: Extracting #8: cost 27 inf + 127489 233.111 * * [simplify]: Extracting #9: cost 0 inf + 146633 233.164 * [simplify]: Simplified to (* (/ (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 233.164 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 233.164 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 233.164 * * [simplify]: iters left: 6 (20 enodes) 233.169 * * [simplify]: iters left: 5 (67 enodes) 233.179 * * [simplify]: iters left: 4 (91 enodes) 233.195 * * [simplify]: iters left: 3 (156 enodes) 233.227 * * [simplify]: iters left: 2 (284 enodes) 233.300 * * [simplify]: iters left: 1 (471 enodes) 233.455 * * [simplify]: Extracting #0: cost 1 inf + 0 233.455 * * [simplify]: Extracting #1: cost 53 inf + 0 233.455 * * [simplify]: Extracting #2: cost 105 inf + 0 233.456 * * [simplify]: Extracting #3: cost 114 inf + 0 233.456 * * [simplify]: Extracting #4: cost 109 inf + 789 233.457 * * [simplify]: Extracting #5: cost 102 inf + 3366 233.458 * * [simplify]: Extracting #6: cost 90 inf + 6024 233.460 * * [simplify]: Extracting #7: cost 65 inf + 16158 233.465 * * [simplify]: Extracting #8: cost 37 inf + 31410 233.479 * * [simplify]: Extracting #9: cost 2 inf + 50443 233.502 * * [simplify]: Extracting #10: cost 0 inf + 51870 233.528 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 233.528 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))))) 233.528 * * * * [progress]: [ 470 / 2703 ] simplifiying candidate # 233.529 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 233.529 * * [simplify]: iters left: 6 (20 enodes) 233.539 * * [simplify]: iters left: 5 (70 enodes) 233.561 * * [simplify]: iters left: 4 (109 enodes) 233.600 * * [simplify]: iters left: 3 (208 enodes) 233.694 * * [simplify]: iters left: 2 (437 enodes) 233.991 * * [simplify]: Extracting #0: cost 1 inf + 0 233.992 * * [simplify]: Extracting #1: cost 90 inf + 0 233.993 * * [simplify]: Extracting #2: cost 161 inf + 0 233.994 * * [simplify]: Extracting #3: cost 171 inf + 0 233.996 * * [simplify]: Extracting #4: cost 164 inf + 1433 233.998 * * [simplify]: Extracting #5: cost 147 inf + 5259 234.013 * * [simplify]: Extracting #6: cost 61 inf + 46828 234.049 * * [simplify]: Extracting #7: cost 3 inf + 79173 234.084 * * [simplify]: Extracting #8: cost 0 inf + 80984 234.119 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) 234.119 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 234.120 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 234.120 * * [simplify]: iters left: 6 (18 enodes) 234.128 * * [simplify]: iters left: 5 (61 enodes) 234.147 * * [simplify]: iters left: 4 (84 enodes) 234.175 * * [simplify]: iters left: 3 (129 enodes) 234.222 * * [simplify]: iters left: 2 (199 enodes) 234.301 * * [simplify]: iters left: 1 (298 enodes) 234.426 * * [simplify]: Extracting #0: cost 1 inf + 0 234.427 * * [simplify]: Extracting #1: cost 39 inf + 0 234.427 * * [simplify]: Extracting #2: cost 75 inf + 0 234.428 * * [simplify]: Extracting #3: cost 82 inf + 0 234.428 * * [simplify]: Extracting #4: cost 79 inf + 427 234.430 * * [simplify]: Extracting #5: cost 61 inf + 4494 234.432 * * [simplify]: Extracting #6: cost 55 inf + 5422 234.437 * * [simplify]: Extracting #7: cost 27 inf + 17007 234.451 * * [simplify]: Extracting #8: cost 1 inf + 30316 234.464 * * [simplify]: Extracting #9: cost 0 inf + 30759 234.477 * [simplify]: Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 234.477 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 234.477 * * * * [progress]: [ 471 / 2703 ] simplifiying candidate # 234.478 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 234.478 * * [simplify]: iters left: 6 (22 enodes) 234.488 * * [simplify]: iters left: 5 (76 enodes) 234.511 * * [simplify]: iters left: 4 (116 enodes) 234.532 * * [simplify]: iters left: 3 (238 enodes) 234.602 * * [simplify]: Extracting #0: cost 1 inf + 0 234.602 * * [simplify]: Extracting #1: cost 75 inf + 0 234.602 * * [simplify]: Extracting #2: cost 167 inf + 0 234.603 * * [simplify]: Extracting #3: cost 175 inf + 0 234.604 * * [simplify]: Extracting #4: cost 169 inf + 749 234.605 * * [simplify]: Extracting #5: cost 151 inf + 7468 234.606 * * [simplify]: Extracting #6: cost 134 inf + 12196 234.610 * * [simplify]: Extracting #7: cost 100 inf + 26414 234.617 * * [simplify]: Extracting #8: cost 62 inf + 49171 234.642 * * [simplify]: Extracting #9: cost 6 inf + 82491 234.673 * * [simplify]: Extracting #10: cost 0 inf + 86274 234.704 * [simplify]: Simplified to (/ (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 234.704 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 234.705 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 234.705 * * [simplify]: iters left: 6 (20 enodes) 234.715 * * [simplify]: iters left: 5 (67 enodes) 234.736 * * [simplify]: iters left: 4 (91 enodes) 234.758 * * [simplify]: iters left: 3 (156 enodes) 234.801 * * [simplify]: iters left: 2 (284 enodes) 234.911 * * [simplify]: iters left: 1 (471 enodes) 235.139 * * [simplify]: Extracting #0: cost 1 inf + 0 235.140 * * [simplify]: Extracting #1: cost 53 inf + 0 235.140 * * [simplify]: Extracting #2: cost 105 inf + 0 235.141 * * [simplify]: Extracting #3: cost 114 inf + 0 235.142 * * [simplify]: Extracting #4: cost 109 inf + 789 235.144 * * [simplify]: Extracting #5: cost 102 inf + 3366 235.146 * * [simplify]: Extracting #6: cost 90 inf + 6024 235.150 * * [simplify]: Extracting #7: cost 65 inf + 16158 235.159 * * [simplify]: Extracting #8: cost 37 inf + 30730 235.170 * * [simplify]: Extracting #9: cost 2 inf + 48403 235.184 * * [simplify]: Extracting #10: cost 0 inf + 49750 235.203 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 235.203 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))))) 235.203 * * * * [progress]: [ 472 / 2703 ] simplifiying candidate # 235.203 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 235.204 * * [simplify]: iters left: 6 (22 enodes) 235.216 * * [simplify]: iters left: 5 (78 enodes) 235.240 * * [simplify]: iters left: 4 (108 enodes) 235.275 * * [simplify]: iters left: 3 (186 enodes) 235.342 * * [simplify]: iters left: 2 (328 enodes) 235.552 * * [simplify]: Extracting #0: cost 1 inf + 0 235.553 * * [simplify]: Extracting #1: cost 61 inf + 0 235.553 * * [simplify]: Extracting #2: cost 107 inf + 1 235.554 * * [simplify]: Extracting #3: cost 115 inf + 1 235.554 * * [simplify]: Extracting #4: cost 107 inf + 1253 235.555 * * [simplify]: Extracting #5: cost 93 inf + 6188 235.558 * * [simplify]: Extracting #6: cost 69 inf + 13354 235.562 * * [simplify]: Extracting #7: cost 34 inf + 27935 235.572 * * [simplify]: Extracting #8: cost 0 inf + 48548 235.591 * [simplify]: Simplified to (/ (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) 235.592 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 235.592 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 235.592 * * [simplify]: iters left: 6 (19 enodes) 235.601 * * [simplify]: iters left: 5 (64 enodes) 235.624 * * [simplify]: iters left: 4 (88 enodes) 235.653 * * [simplify]: iters left: 3 (153 enodes) 235.710 * * [simplify]: iters left: 2 (280 enodes) 235.814 * * [simplify]: iters left: 1 (464 enodes) 236.029 * * [simplify]: Extracting #0: cost 1 inf + 0 236.029 * * [simplify]: Extracting #1: cost 53 inf + 0 236.030 * * [simplify]: Extracting #2: cost 105 inf + 0 236.030 * * [simplify]: Extracting #3: cost 115 inf + 0 236.031 * * [simplify]: Extracting #4: cost 112 inf + 427 236.032 * * [simplify]: Extracting #5: cost 94 inf + 3932 236.036 * * [simplify]: Extracting #6: cost 46 inf + 24274 236.046 * * [simplify]: Extracting #7: cost 0 inf + 47306 236.065 * [simplify]: Simplified to (/ (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 236.065 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (/ (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 236.065 * * * * [progress]: [ 473 / 2703 ] simplifiying candidate # 236.065 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 236.066 * * [simplify]: iters left: 6 (22 enodes) 236.076 * * [simplify]: iters left: 5 (76 enodes) 236.100 * * [simplify]: iters left: 4 (116 enodes) 236.143 * * [simplify]: iters left: 3 (238 enodes) 236.257 * * [simplify]: Extracting #0: cost 1 inf + 0 236.257 * * [simplify]: Extracting #1: cost 75 inf + 0 236.258 * * [simplify]: Extracting #2: cost 167 inf + 0 236.259 * * [simplify]: Extracting #3: cost 175 inf + 0 236.263 * * [simplify]: Extracting #4: cost 169 inf + 749 236.265 * * [simplify]: Extracting #5: cost 151 inf + 7468 236.268 * * [simplify]: Extracting #6: cost 134 inf + 12196 236.275 * * [simplify]: Extracting #7: cost 100 inf + 26414 236.289 * * [simplify]: Extracting #8: cost 62 inf + 49171 236.318 * * [simplify]: Extracting #9: cost 6 inf + 82491 236.341 * * [simplify]: Extracting #10: cost 0 inf + 86274 236.357 * [simplify]: Simplified to (/ (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 236.357 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 236.357 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 236.357 * * [simplify]: iters left: 6 (20 enodes) 236.362 * * [simplify]: iters left: 5 (67 enodes) 236.373 * * [simplify]: iters left: 4 (91 enodes) 236.391 * * [simplify]: iters left: 3 (156 enodes) 236.437 * * [simplify]: iters left: 2 (284 enodes) 236.570 * * [simplify]: iters left: 1 (471 enodes) 236.755 * * [simplify]: Extracting #0: cost 1 inf + 0 236.756 * * [simplify]: Extracting #1: cost 53 inf + 0 236.756 * * [simplify]: Extracting #2: cost 105 inf + 0 236.757 * * [simplify]: Extracting #3: cost 114 inf + 0 236.758 * * [simplify]: Extracting #4: cost 109 inf + 789 236.759 * * [simplify]: Extracting #5: cost 102 inf + 3366 236.761 * * [simplify]: Extracting #6: cost 90 inf + 6024 236.766 * * [simplify]: Extracting #7: cost 65 inf + 16158 236.776 * * [simplify]: Extracting #8: cost 37 inf + 30730 236.798 * * [simplify]: Extracting #9: cost 2 inf + 48403 236.810 * * [simplify]: Extracting #10: cost 0 inf + 49750 236.822 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 236.822 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))))) 236.822 * * * * [progress]: [ 474 / 2703 ] simplifiying candidate # 236.823 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) 1)) 236.823 * * [simplify]: iters left: 6 (21 enodes) 236.828 * * [simplify]: iters left: 5 (73 enodes) 236.850 * * [simplify]: iters left: 4 (105 enodes) 236.890 * * [simplify]: iters left: 3 (189 enodes) 236.973 * * [simplify]: iters left: 2 (342 enodes) 237.144 * * [simplify]: Extracting #0: cost 1 inf + 0 237.144 * * [simplify]: Extracting #1: cost 61 inf + 0 237.146 * * [simplify]: Extracting #2: cost 102 inf + 1 237.146 * * [simplify]: Extracting #3: cost 110 inf + 1 237.147 * * [simplify]: Extracting #4: cost 103 inf + 831 237.148 * * [simplify]: Extracting #5: cost 86 inf + 7490 237.151 * * [simplify]: Extracting #6: cost 65 inf + 13129 237.153 * * [simplify]: Extracting #7: cost 58 inf + 14301 237.158 * * [simplify]: Extracting #8: cost 28 inf + 29643 237.168 * * [simplify]: Extracting #9: cost 0 inf + 46471 237.182 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 237.182 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 237.183 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 237.183 * * [simplify]: iters left: 6 (19 enodes) 237.192 * * [simplify]: iters left: 5 (64 enodes) 237.212 * * [simplify]: iters left: 4 (88 enodes) 237.241 * * [simplify]: iters left: 3 (153 enodes) 237.282 * * [simplify]: iters left: 2 (280 enodes) 237.392 * * [simplify]: iters left: 1 (464 enodes) 237.563 * * [simplify]: Extracting #0: cost 1 inf + 0 237.563 * * [simplify]: Extracting #1: cost 53 inf + 0 237.563 * * [simplify]: Extracting #2: cost 105 inf + 0 237.564 * * [simplify]: Extracting #3: cost 115 inf + 0 237.564 * * [simplify]: Extracting #4: cost 112 inf + 427 237.565 * * [simplify]: Extracting #5: cost 94 inf + 3932 237.569 * * [simplify]: Extracting #6: cost 46 inf + 24274 237.579 * * [simplify]: Extracting #7: cost 0 inf + 47306 237.591 * [simplify]: Simplified to (/ (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 237.591 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) 1)) (/ (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 237.591 * * * * [progress]: [ 475 / 2703 ] simplifiying candidate # 237.593 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 237.593 * * [simplify]: iters left: 6 (23 enodes) 237.599 * * [simplify]: iters left: 5 (83 enodes) 237.614 * * [simplify]: iters left: 4 (129 enodes) 237.648 * * [simplify]: iters left: 3 (287 enodes) 237.826 * * [simplify]: Extracting #0: cost 1 inf + 0 237.827 * * [simplify]: Extracting #1: cost 96 inf + 0 237.828 * * [simplify]: Extracting #2: cost 218 inf + 1 237.830 * * [simplify]: Extracting #3: cost 226 inf + 1 237.831 * * [simplify]: Extracting #4: cost 215 inf + 1618 237.833 * * [simplify]: Extracting #5: cost 204 inf + 6353 237.834 * * [simplify]: Extracting #6: cost 198 inf + 7122 237.837 * * [simplify]: Extracting #7: cost 178 inf + 12974 237.841 * * [simplify]: Extracting #8: cost 151 inf + 27049 237.859 * * [simplify]: Extracting #9: cost 53 inf + 82998 237.908 * * [simplify]: Extracting #10: cost 0 inf + 113522 237.932 * * [simplify]: Extracting #11: cost 0 inf + 113282 237.955 * [simplify]: Simplified to (/ (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 237.955 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 237.956 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 237.956 * * [simplify]: iters left: 6 (19 enodes) 237.961 * * [simplify]: iters left: 5 (64 enodes) 237.980 * * [simplify]: iters left: 4 (87 enodes) 238.010 * * [simplify]: iters left: 3 (146 enodes) 238.040 * * [simplify]: iters left: 2 (240 enodes) 238.128 * * [simplify]: iters left: 1 (333 enodes) 238.231 * * [simplify]: Extracting #0: cost 1 inf + 0 238.231 * * [simplify]: Extracting #1: cost 38 inf + 0 238.231 * * [simplify]: Extracting #2: cost 75 inf + 0 238.231 * * [simplify]: Extracting #3: cost 82 inf + 0 238.232 * * [simplify]: Extracting #4: cost 78 inf + 327 238.232 * * [simplify]: Extracting #5: cost 71 inf + 2984 238.233 * * [simplify]: Extracting #6: cost 64 inf + 3753 238.234 * * [simplify]: Extracting #7: cost 45 inf + 10342 238.240 * * [simplify]: Extracting #8: cost 4 inf + 32117 238.248 * * [simplify]: Extracting #9: cost 0 inf + 34311 238.256 * [simplify]: Simplified to (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 238.256 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 238.256 * * * * [progress]: [ 476 / 2703 ] simplifiying candidate # 238.256 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 238.256 * * [simplify]: iters left: 6 (20 enodes) 238.262 * * [simplify]: iters left: 5 (72 enodes) 238.276 * * [simplify]: iters left: 4 (109 enodes) 238.317 * * [simplify]: iters left: 3 (199 enodes) 238.399 * * [simplify]: iters left: 2 (399 enodes) 238.632 * * [simplify]: Extracting #0: cost 1 inf + 0 238.632 * * [simplify]: Extracting #1: cost 49 inf + 0 238.633 * * [simplify]: Extracting #2: cost 108 inf + 1 238.634 * * [simplify]: Extracting #3: cost 115 inf + 1 238.635 * * [simplify]: Extracting #4: cost 107 inf + 1495 238.637 * * [simplify]: Extracting #5: cost 84 inf + 6514 238.645 * * [simplify]: Extracting #6: cost 41 inf + 23831 238.664 * * [simplify]: Extracting #7: cost 6 inf + 40833 238.684 * * [simplify]: Extracting #8: cost 0 inf + 44377 238.705 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 238.705 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 238.705 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 238.706 * * [simplify]: iters left: 6 (16 enodes) 238.714 * * [simplify]: iters left: 5 (55 enodes) 238.731 * * [simplify]: iters left: 4 (75 enodes) 238.758 * * [simplify]: iters left: 3 (109 enodes) 238.793 * * [simplify]: iters left: 2 (156 enodes) 238.846 * * [simplify]: iters left: 1 (203 enodes) 238.919 * * [simplify]: Extracting #0: cost 1 inf + 0 238.919 * * [simplify]: Extracting #1: cost 28 inf + 0 238.920 * * [simplify]: Extracting #2: cost 55 inf + 0 238.920 * * [simplify]: Extracting #3: cost 62 inf + 0 238.920 * * [simplify]: Extracting #4: cost 60 inf + 266 238.921 * * [simplify]: Extracting #5: cost 48 inf + 1740 238.925 * * [simplify]: Extracting #6: cost 13 inf + 14677 238.933 * * [simplify]: Extracting #7: cost 0 inf + 20960 238.941 * [simplify]: Simplified to (/ (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 238.941 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 238.942 * * * * [progress]: [ 477 / 2703 ] simplifiying candidate # 238.942 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 238.942 * * [simplify]: iters left: 6 (22 enodes) 238.953 * * [simplify]: iters left: 5 (78 enodes) 238.978 * * [simplify]: iters left: 4 (116 enodes) 239.003 * * [simplify]: iters left: 3 (222 enodes) 239.101 * * [simplify]: iters left: 2 (464 enodes) 239.481 * * [simplify]: Extracting #0: cost 1 inf + 0 239.481 * * [simplify]: Extracting #1: cost 64 inf + 0 239.483 * * [simplify]: Extracting #2: cost 151 inf + 1 239.484 * * [simplify]: Extracting #3: cost 161 inf + 1 239.485 * * [simplify]: Extracting #4: cost 152 inf + 1315 239.488 * * [simplify]: Extracting #5: cost 136 inf + 6612 239.491 * * [simplify]: Extracting #6: cost 132 inf + 6997 239.497 * * [simplify]: Extracting #7: cost 105 inf + 15889 239.510 * * [simplify]: Extracting #8: cost 60 inf + 38012 239.542 * * [simplify]: Extracting #9: cost 10 inf + 65293 239.559 * * [simplify]: Extracting #10: cost 0 inf + 71172 239.583 * [simplify]: Simplified to (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 239.583 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 239.583 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 239.584 * * [simplify]: iters left: 6 (19 enodes) 239.592 * * [simplify]: iters left: 5 (64 enodes) 239.612 * * [simplify]: iters left: 4 (87 enodes) 239.641 * * [simplify]: iters left: 3 (146 enodes) 239.671 * * [simplify]: iters left: 2 (240 enodes) 239.736 * * [simplify]: iters left: 1 (333 enodes) 239.849 * * [simplify]: Extracting #0: cost 1 inf + 0 239.849 * * [simplify]: Extracting #1: cost 38 inf + 0 239.849 * * [simplify]: Extracting #2: cost 75 inf + 0 239.850 * * [simplify]: Extracting #3: cost 82 inf + 0 239.851 * * [simplify]: Extracting #4: cost 78 inf + 327 239.852 * * [simplify]: Extracting #5: cost 71 inf + 2984 239.853 * * [simplify]: Extracting #6: cost 64 inf + 3753 239.856 * * [simplify]: Extracting #7: cost 45 inf + 10182 239.867 * * [simplify]: Extracting #8: cost 4 inf + 30797 239.882 * * [simplify]: Extracting #9: cost 0 inf + 32831 239.896 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 239.896 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 239.897 * * * * [progress]: [ 478 / 2703 ] simplifiying candidate # 239.897 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt 1))) 239.897 * * [simplify]: iters left: 6 (21 enodes) 239.910 * * [simplify]: iters left: 5 (75 enodes) 239.929 * * [simplify]: iters left: 4 (105 enodes) 239.956 * * [simplify]: iters left: 3 (165 enodes) 240.029 * * [simplify]: iters left: 2 (294 enodes) 240.238 * * [simplify]: iters left: 1 (458 enodes) 240.509 * * [simplify]: Extracting #0: cost 1 inf + 0 240.509 * * [simplify]: Extracting #1: cost 24 inf + 0 240.509 * * [simplify]: Extracting #2: cost 48 inf + 1 240.510 * * [simplify]: Extracting #3: cost 55 inf + 1 240.510 * * [simplify]: Extracting #4: cost 52 inf + 267 240.511 * * [simplify]: Extracting #5: cost 41 inf + 3471 240.512 * * [simplify]: Extracting #6: cost 32 inf + 4885 240.514 * * [simplify]: Extracting #7: cost 19 inf + 8335 240.519 * * [simplify]: Extracting #8: cost 0 inf + 17301 240.524 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 240.524 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 240.525 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 240.525 * * [simplify]: iters left: 6 (18 enodes) 240.529 * * [simplify]: iters left: 5 (61 enodes) 240.544 * * [simplify]: iters left: 4 (84 enodes) 240.567 * * [simplify]: iters left: 3 (143 enodes) 240.594 * * [simplify]: iters left: 2 (237 enodes) 240.649 * * [simplify]: iters left: 1 (330 enodes) 240.756 * * [simplify]: Extracting #0: cost 1 inf + 0 240.756 * * [simplify]: Extracting #1: cost 38 inf + 0 240.757 * * [simplify]: Extracting #2: cost 75 inf + 0 240.757 * * [simplify]: Extracting #3: cost 83 inf + 0 240.758 * * [simplify]: Extracting #4: cost 79 inf + 588 240.759 * * [simplify]: Extracting #5: cost 64 inf + 3410 240.763 * * [simplify]: Extracting #6: cost 35 inf + 14552 240.775 * * [simplify]: Extracting #7: cost 3 inf + 29336 240.789 * * [simplify]: Extracting #8: cost 0 inf + 31027 240.803 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 240.803 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 240.803 * * * * [progress]: [ 479 / 2703 ] simplifiying candidate # 240.804 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 240.804 * * [simplify]: iters left: 6 (22 enodes) 240.814 * * [simplify]: iters left: 5 (78 enodes) 240.839 * * [simplify]: iters left: 4 (116 enodes) 240.883 * * [simplify]: iters left: 3 (222 enodes) 240.976 * * [simplify]: iters left: 2 (464 enodes) 241.340 * * [simplify]: Extracting #0: cost 1 inf + 0 241.340 * * [simplify]: Extracting #1: cost 64 inf + 0 241.341 * * [simplify]: Extracting #2: cost 151 inf + 1 241.343 * * [simplify]: Extracting #3: cost 161 inf + 1 241.344 * * [simplify]: Extracting #4: cost 152 inf + 1315 241.347 * * [simplify]: Extracting #5: cost 136 inf + 6612 241.350 * * [simplify]: Extracting #6: cost 132 inf + 6997 241.356 * * [simplify]: Extracting #7: cost 105 inf + 15889 241.369 * * [simplify]: Extracting #8: cost 60 inf + 38012 241.402 * * [simplify]: Extracting #9: cost 10 inf + 65293 241.435 * * [simplify]: Extracting #10: cost 0 inf + 71172 241.463 * [simplify]: Simplified to (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 241.463 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 241.464 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 241.464 * * [simplify]: iters left: 6 (19 enodes) 241.468 * * [simplify]: iters left: 5 (64 enodes) 241.479 * * [simplify]: iters left: 4 (87 enodes) 241.493 * * [simplify]: iters left: 3 (146 enodes) 241.522 * * [simplify]: iters left: 2 (240 enodes) 241.609 * * [simplify]: iters left: 1 (333 enodes) 241.744 * * [simplify]: Extracting #0: cost 1 inf + 0 241.744 * * [simplify]: Extracting #1: cost 38 inf + 0 241.744 * * [simplify]: Extracting #2: cost 75 inf + 0 241.745 * * [simplify]: Extracting #3: cost 82 inf + 0 241.745 * * [simplify]: Extracting #4: cost 78 inf + 327 241.746 * * [simplify]: Extracting #5: cost 71 inf + 2984 241.746 * * [simplify]: Extracting #6: cost 64 inf + 3753 241.748 * * [simplify]: Extracting #7: cost 45 inf + 10182 241.754 * * [simplify]: Extracting #8: cost 4 inf + 30797 241.761 * * [simplify]: Extracting #9: cost 0 inf + 32831 241.771 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 241.771 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 241.772 * * * * [progress]: [ 480 / 2703 ] simplifiying candidate # 241.772 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 1)) 241.772 * * [simplify]: iters left: 6 (20 enodes) 241.782 * * [simplify]: iters left: 5 (68 enodes) 241.802 * * [simplify]: iters left: 4 (90 enodes) 241.819 * * [simplify]: iters left: 3 (129 enodes) 241.850 * * [simplify]: iters left: 2 (197 enodes) 241.912 * * [simplify]: iters left: 1 (265 enodes) 242.002 * * [simplify]: Extracting #0: cost 1 inf + 0 242.002 * * [simplify]: Extracting #1: cost 21 inf + 0 242.003 * * [simplify]: Extracting #2: cost 42 inf + 1 242.003 * * [simplify]: Extracting #3: cost 49 inf + 1 242.003 * * [simplify]: Extracting #4: cost 45 inf + 388 242.004 * * [simplify]: Extracting #5: cost 34 inf + 3793 242.005 * * [simplify]: Extracting #6: cost 29 inf + 4520 242.006 * * [simplify]: Extracting #7: cost 15 inf + 7750 242.009 * * [simplify]: Extracting #8: cost 1 inf + 14258 242.012 * * [simplify]: Extracting #9: cost 0 inf + 14721 242.016 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) 242.016 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 242.016 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 242.016 * * [simplify]: iters left: 6 (18 enodes) 242.021 * * [simplify]: iters left: 5 (61 enodes) 242.032 * * [simplify]: iters left: 4 (84 enodes) 242.059 * * [simplify]: iters left: 3 (143 enodes) 242.101 * * [simplify]: iters left: 2 (237 enodes) 242.181 * * [simplify]: iters left: 1 (330 enodes) 242.292 * * [simplify]: Extracting #0: cost 1 inf + 0 242.292 * * [simplify]: Extracting #1: cost 38 inf + 0 242.292 * * [simplify]: Extracting #2: cost 75 inf + 0 242.293 * * [simplify]: Extracting #3: cost 83 inf + 0 242.294 * * [simplify]: Extracting #4: cost 79 inf + 588 242.295 * * [simplify]: Extracting #5: cost 64 inf + 3410 242.299 * * [simplify]: Extracting #6: cost 35 inf + 14552 242.310 * * [simplify]: Extracting #7: cost 3 inf + 29336 242.318 * * [simplify]: Extracting #8: cost 0 inf + 31027 242.325 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 242.325 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 242.326 * * * * [progress]: [ 481 / 2703 ] simplifiying candidate # 242.326 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 1) 242.326 * * [simplify]: iters left: 6 (19 enodes) 242.331 * * [simplify]: iters left: 5 (65 enodes) 242.341 * * [simplify]: iters left: 4 (91 enodes) 242.363 * * [simplify]: iters left: 3 (137 enodes) 242.396 * * [simplify]: iters left: 2 (212 enodes) 242.477 * * [simplify]: iters left: 1 (273 enodes) 242.586 * * [simplify]: Extracting #0: cost 1 inf + 0 242.587 * * [simplify]: Extracting #1: cost 21 inf + 0 242.587 * * [simplify]: Extracting #2: cost 42 inf + 1 242.587 * * [simplify]: Extracting #3: cost 49 inf + 1 242.588 * * [simplify]: Extracting #4: cost 45 inf + 388 242.589 * * [simplify]: Extracting #5: cost 36 inf + 3430 242.590 * * [simplify]: Extracting #6: cost 28 inf + 4561 242.593 * * [simplify]: Extracting #7: cost 16 inf + 7970 242.598 * * [simplify]: Extracting #8: cost 1 inf + 14438 242.606 * * [simplify]: Extracting #9: cost 0 inf + 14721 242.612 * [simplify]: Simplified to (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (cos th)))) 242.612 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 242.613 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 242.613 * * [simplify]: iters left: 6 (18 enodes) 242.622 * * [simplify]: iters left: 5 (61 enodes) 242.641 * * [simplify]: iters left: 4 (84 enodes) 242.660 * * [simplify]: iters left: 3 (143 enodes) 242.697 * * [simplify]: iters left: 2 (237 enodes) 242.754 * * [simplify]: iters left: 1 (330 enodes) 242.860 * * [simplify]: Extracting #0: cost 1 inf + 0 242.861 * * [simplify]: Extracting #1: cost 38 inf + 0 242.861 * * [simplify]: Extracting #2: cost 75 inf + 0 242.862 * * [simplify]: Extracting #3: cost 83 inf + 0 242.862 * * [simplify]: Extracting #4: cost 79 inf + 588 242.863 * * [simplify]: Extracting #5: cost 64 inf + 3410 242.868 * * [simplify]: Extracting #6: cost 35 inf + 14552 242.880 * * [simplify]: Extracting #7: cost 3 inf + 29336 242.896 * * [simplify]: Extracting #8: cost 0 inf + 31027 242.909 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 242.910 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 1) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 242.910 * * * * [progress]: [ 482 / 2703 ] simplifiying candidate # 242.910 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2))) 242.911 * * [simplify]: iters left: 6 (18 enodes) 242.919 * * [simplify]: iters left: 5 (62 enodes) 242.937 * * [simplify]: iters left: 4 (87 enodes) 242.951 * * [simplify]: iters left: 3 (131 enodes) 242.973 * * [simplify]: iters left: 2 (178 enodes) 243.010 * * [simplify]: iters left: 1 (207 enodes) 243.052 * * [simplify]: Extracting #0: cost 1 inf + 0 243.052 * * [simplify]: Extracting #1: cost 27 inf + 0 243.052 * * [simplify]: Extracting #2: cost 54 inf + 0 243.053 * * [simplify]: Extracting #3: cost 61 inf + 0 243.053 * * [simplify]: Extracting #4: cost 57 inf + 387 243.053 * * [simplify]: Extracting #5: cost 44 inf + 4714 243.055 * * [simplify]: Extracting #6: cost 34 inf + 7151 243.057 * * [simplify]: Extracting #7: cost 13 inf + 14266 243.063 * * [simplify]: Extracting #8: cost 2 inf + 19864 243.071 * * [simplify]: Extracting #9: cost 0 inf + 20931 243.079 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 243.079 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 243.080 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 243.080 * * [simplify]: iters left: 6 (19 enodes) 243.089 * * [simplify]: iters left: 5 (66 enodes) 243.112 * * [simplify]: iters left: 4 (88 enodes) 243.138 * * [simplify]: iters left: 3 (136 enodes) 243.164 * * [simplify]: iters left: 2 (228 enodes) 243.242 * * [simplify]: iters left: 1 (374 enodes) 243.425 * * [simplify]: Extracting #0: cost 1 inf + 0 243.425 * * [simplify]: Extracting #1: cost 34 inf + 0 243.425 * * [simplify]: Extracting #2: cost 81 inf + 1 243.426 * * [simplify]: Extracting #3: cost 89 inf + 1 243.427 * * [simplify]: Extracting #4: cost 87 inf + 267 243.428 * * [simplify]: Extracting #5: cost 77 inf + 1460 243.432 * * [simplify]: Extracting #6: cost 37 inf + 15793 243.444 * * [simplify]: Extracting #7: cost 4 inf + 30138 243.454 * * [simplify]: Extracting #8: cost 0 inf + 31852 243.461 * [simplify]: Simplified to (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) 243.461 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2))) (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 243.462 * * * * [progress]: [ 483 / 2703 ] simplifiying candidate # 243.462 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 243.462 * * [simplify]: iters left: 6 (24 enodes) 243.469 * * [simplify]: iters left: 5 (99 enodes) 243.501 * * [simplify]: iters left: 4 (191 enodes) 243.581 * * [simplify]: iters left: 3 (400 enodes) 243.720 * * [simplify]: Extracting #0: cost 1 inf + 0 243.720 * * [simplify]: Extracting #1: cost 64 inf + 0 243.721 * * [simplify]: Extracting #2: cost 135 inf + 0 243.721 * * [simplify]: Extracting #3: cost 145 inf + 0 243.722 * * [simplify]: Extracting #4: cost 164 inf + 1514 243.723 * * [simplify]: Extracting #5: cost 188 inf + 7296 243.726 * * [simplify]: Extracting #6: cost 157 inf + 17118 243.748 * * [simplify]: Extracting #7: cost 47 inf + 77054 243.768 * * [simplify]: Extracting #8: cost 9 inf + 95190 243.798 * * [simplify]: Extracting #9: cost 0 inf + 98964 243.818 * [simplify]: Simplified to (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))))) 243.818 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 243.819 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 243.819 * * [simplify]: iters left: 6 (22 enodes) 243.825 * * [simplify]: iters left: 5 (93 enodes) 243.858 * * [simplify]: iters left: 4 (174 enodes) 243.902 * * [simplify]: iters left: 3 (308 enodes) 243.988 * * [simplify]: iters left: 2 (450 enodes) 244.156 * * [simplify]: Extracting #0: cost 1 inf + 0 244.156 * * [simplify]: Extracting #1: cost 21 inf + 0 244.156 * * [simplify]: Extracting #2: cost 42 inf + 0 244.156 * * [simplify]: Extracting #3: cost 67 inf + 0 244.157 * * [simplify]: Extracting #4: cost 187 inf + 387 244.158 * * [simplify]: Extracting #5: cost 225 inf + 4323 244.164 * * [simplify]: Extracting #6: cost 78 inf + 29810 244.181 * * [simplify]: Extracting #7: cost 5 inf + 49899 244.194 * * [simplify]: Extracting #8: cost 0 inf + 52655 244.205 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 244.205 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))))) 244.205 * * * * [progress]: [ 484 / 2703 ] simplifiying candidate # 244.205 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 244.205 * * [simplify]: iters left: 6 (23 enodes) 244.211 * * [simplify]: iters left: 5 (91 enodes) 244.227 * * [simplify]: iters left: 4 (157 enodes) 244.260 * * [simplify]: iters left: 3 (326 enodes) 244.366 * * [simplify]: Extracting #0: cost 1 inf + 0 244.366 * * [simplify]: Extracting #1: cost 64 inf + 0 244.367 * * [simplify]: Extracting #2: cost 135 inf + 0 244.367 * * [simplify]: Extracting #3: cost 159 inf + 0 244.368 * * [simplify]: Extracting #4: cost 210 inf + 1111 244.370 * * [simplify]: Extracting #5: cost 173 inf + 10902 244.376 * * [simplify]: Extracting #6: cost 93 inf + 35478 244.388 * * [simplify]: Extracting #7: cost 27 inf + 66937 244.412 * * [simplify]: Extracting #8: cost 1 inf + 81454 244.445 * * [simplify]: Extracting #9: cost 0 inf + 82118 244.470 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (* (+ (* a2 a2) (* a1 a1)) (- (* a1 a1) (* a2 a2))))) 244.471 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (* (+ (* a2 a2) (* a1 a1)) (- (* a1 a1) (* a2 a2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 244.471 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))) 244.471 * * [simplify]: iters left: 6 (18 enodes) 244.476 * * [simplify]: iters left: 5 (64 enodes) 244.486 * * [simplify]: iters left: 4 (91 enodes) 244.500 * * [simplify]: iters left: 3 (128 enodes) 244.520 * * [simplify]: iters left: 2 (180 enodes) 244.567 * * [simplify]: iters left: 1 (282 enodes) 244.612 * * [simplify]: Extracting #0: cost 1 inf + 0 244.612 * * [simplify]: Extracting #1: cost 23 inf + 0 244.612 * * [simplify]: Extracting #2: cost 45 inf + 0 244.612 * * [simplify]: Extracting #3: cost 73 inf + 0 244.613 * * [simplify]: Extracting #4: cost 103 inf + 266 244.613 * * [simplify]: Extracting #5: cost 96 inf + 1277 244.615 * * [simplify]: Extracting #6: cost 49 inf + 10317 244.618 * * [simplify]: Extracting #7: cost 6 inf + 21322 244.625 * * [simplify]: Extracting #8: cost 0 inf + 23639 244.629 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2))))) 244.629 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (* (+ (* a2 a2) (* a1 a1)) (- (* a1 a1) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2))))))) 244.629 * * * * [progress]: [ 485 / 2703 ] simplifiying candidate # 244.630 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 244.630 * * [simplify]: iters left: 6 (20 enodes) 244.639 * * [simplify]: iters left: 5 (69 enodes) 244.658 * * [simplify]: iters left: 4 (109 enodes) 244.677 * * [simplify]: iters left: 3 (216 enodes) 244.748 * * [simplify]: iters left: 2 (412 enodes) 244.982 * * [simplify]: Extracting #0: cost 1 inf + 0 244.982 * * [simplify]: Extracting #1: cost 69 inf + 0 244.984 * * [simplify]: Extracting #2: cost 135 inf + 0 244.985 * * [simplify]: Extracting #3: cost 145 inf + 0 244.986 * * [simplify]: Extracting #4: cost 136 inf + 1514 244.988 * * [simplify]: Extracting #5: cost 132 inf + 3668 244.990 * * [simplify]: Extracting #6: cost 128 inf + 3752 244.992 * * [simplify]: Extracting #7: cost 127 inf + 3793 244.995 * * [simplify]: Extracting #8: cost 110 inf + 9622 245.005 * * [simplify]: Extracting #9: cost 74 inf + 30673 245.040 * * [simplify]: Extracting #10: cost 12 inf + 69966 245.077 * * [simplify]: Extracting #11: cost 0 inf + 77652 245.115 * * [simplify]: Extracting #12: cost 0 inf + 77612 245.135 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) 245.135 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 245.136 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 245.136 * * [simplify]: iters left: 6 (18 enodes) 245.140 * * [simplify]: iters left: 5 (59 enodes) 245.152 * * [simplify]: iters left: 4 (73 enodes) 245.170 * * [simplify]: iters left: 3 (93 enodes) 245.184 * * [simplify]: iters left: 2 (104 enodes) 245.203 * * [simplify]: iters left: 1 (123 enodes) 245.222 * * [simplify]: Extracting #0: cost 1 inf + 0 245.222 * * [simplify]: Extracting #1: cost 23 inf + 0 245.223 * * [simplify]: Extracting #2: cost 45 inf + 0 245.223 * * [simplify]: Extracting #3: cost 53 inf + 0 245.223 * * [simplify]: Extracting #4: cost 50 inf + 346 245.224 * * [simplify]: Extracting #5: cost 48 inf + 1334 245.224 * * [simplify]: Extracting #6: cost 44 inf + 1418 245.226 * * [simplify]: Extracting #7: cost 28 inf + 5758 245.231 * * [simplify]: Extracting #8: cost 7 inf + 17013 245.237 * * [simplify]: Extracting #9: cost 0 inf + 21078 245.244 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 245.244 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 245.244 * * * * [progress]: [ 486 / 2703 ] simplifiying candidate # 245.245 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 245.245 * * [simplify]: iters left: 6 (19 enodes) 245.254 * * [simplify]: iters left: 5 (64 enodes) 245.274 * * [simplify]: iters left: 4 (92 enodes) 245.298 * * [simplify]: iters left: 3 (148 enodes) 245.326 * * [simplify]: iters left: 2 (220 enodes) 245.392 * * [simplify]: iters left: 1 (297 enodes) 245.497 * * [simplify]: Extracting #0: cost 1 inf + 0 245.497 * * [simplify]: Extracting #1: cost 39 inf + 0 245.498 * * [simplify]: Extracting #2: cost 76 inf + 0 245.499 * * [simplify]: Extracting #3: cost 84 inf + 0 245.500 * * [simplify]: Extracting #4: cost 82 inf + 225 245.501 * * [simplify]: Extracting #5: cost 74 inf + 2682 245.502 * * [simplify]: Extracting #6: cost 69 inf + 3670 245.503 * * [simplify]: Extracting #7: cost 64 inf + 3956 245.505 * * [simplify]: Extracting #8: cost 55 inf + 6519 245.515 * * [simplify]: Extracting #9: cost 11 inf + 30140 245.526 * * [simplify]: Extracting #10: cost 0 inf + 36381 245.535 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) 245.535 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 245.535 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 245.535 * * [simplify]: iters left: 6 (18 enodes) 245.540 * * [simplify]: iters left: 5 (59 enodes) 245.549 * * [simplify]: iters left: 4 (73 enodes) 245.565 * * [simplify]: iters left: 3 (93 enodes) 245.592 * * [simplify]: iters left: 2 (104 enodes) 245.624 * * [simplify]: iters left: 1 (123 enodes) 245.658 * * [simplify]: Extracting #0: cost 1 inf + 0 245.658 * * [simplify]: Extracting #1: cost 23 inf + 0 245.658 * * [simplify]: Extracting #2: cost 45 inf + 0 245.658 * * [simplify]: Extracting #3: cost 53 inf + 0 245.659 * * [simplify]: Extracting #4: cost 50 inf + 346 245.659 * * [simplify]: Extracting #5: cost 48 inf + 1334 245.660 * * [simplify]: Extracting #6: cost 44 inf + 1418 245.661 * * [simplify]: Extracting #7: cost 28 inf + 5718 245.666 * * [simplify]: Extracting #8: cost 7 inf + 16333 245.672 * * [simplify]: Extracting #9: cost 0 inf + 20118 245.678 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 245.678 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 245.679 * * * * [progress]: [ 487 / 2703 ] simplifiying candidate # 245.679 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 245.679 * * [simplify]: iters left: 6 (22 enodes) 245.689 * * [simplify]: iters left: 5 (77 enodes) 245.704 * * [simplify]: iters left: 4 (125 enodes) 245.737 * * [simplify]: iters left: 3 (292 enodes) 245.885 * * [simplify]: Extracting #0: cost 1 inf + 0 245.885 * * [simplify]: Extracting #1: cost 103 inf + 0 245.887 * * [simplify]: Extracting #2: cost 248 inf + 0 245.889 * * [simplify]: Extracting #3: cost 255 inf + 0 245.891 * * [simplify]: Extracting #4: cost 243 inf + 2218 245.895 * * [simplify]: Extracting #5: cost 217 inf + 13972 245.900 * * [simplify]: Extracting #6: cost 208 inf + 15524 245.907 * * [simplify]: Extracting #7: cost 189 inf + 23820 245.934 * * [simplify]: Extracting #8: cost 72 inf + 98755 245.969 * * [simplify]: Extracting #9: cost 10 inf + 141283 246.019 * * [simplify]: Extracting #10: cost 0 inf + 147659 246.057 * [simplify]: Simplified to (/ (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 246.057 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 246.058 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 246.058 * * [simplify]: iters left: 6 (19 enodes) 246.067 * * [simplify]: iters left: 5 (64 enodes) 246.081 * * [simplify]: iters left: 4 (88 enodes) 246.096 * * [simplify]: iters left: 3 (153 enodes) 246.132 * * [simplify]: iters left: 2 (280 enodes) 246.222 * * [simplify]: iters left: 1 (464 enodes) 246.408 * * [simplify]: Extracting #0: cost 1 inf + 0 246.408 * * [simplify]: Extracting #1: cost 53 inf + 0 246.409 * * [simplify]: Extracting #2: cost 104 inf + 0 246.410 * * [simplify]: Extracting #3: cost 112 inf + 0 246.410 * * [simplify]: Extracting #4: cost 108 inf + 427 246.411 * * [simplify]: Extracting #5: cost 98 inf + 4168 246.412 * * [simplify]: Extracting #6: cost 88 inf + 6544 246.416 * * [simplify]: Extracting #7: cost 46 inf + 25754 246.426 * * [simplify]: Extracting #8: cost 0 inf + 50826 246.437 * [simplify]: Simplified to (/ (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 246.437 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 246.438 * * * * [progress]: [ 488 / 2703 ] simplifiying candidate # 246.438 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 246.438 * * [simplify]: iters left: 6 (23 enodes) 246.450 * * [simplify]: iters left: 5 (79 enodes) 246.475 * * [simplify]: iters left: 4 (119 enodes) 246.516 * * [simplify]: iters left: 3 (241 enodes) 246.593 * * [simplify]: Extracting #0: cost 1 inf + 0 246.593 * * [simplify]: Extracting #1: cost 76 inf + 0 246.593 * * [simplify]: Extracting #2: cost 169 inf + 0 246.594 * * [simplify]: Extracting #3: cost 178 inf + 0 246.596 * * [simplify]: Extracting #4: cost 169 inf + 1253 246.597 * * [simplify]: Extracting #5: cost 163 inf + 3990 246.599 * * [simplify]: Extracting #6: cost 133 inf + 13717 246.611 * * [simplify]: Extracting #7: cost 33 inf + 73026 246.628 * * [simplify]: Extracting #8: cost 0 inf + 95300 246.645 * [simplify]: Simplified to (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (cos th))) 246.645 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 246.646 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 246.646 * * [simplify]: iters left: 6 (20 enodes) 246.651 * * [simplify]: iters left: 5 (67 enodes) 246.663 * * [simplify]: iters left: 4 (91 enodes) 246.692 * * [simplify]: iters left: 3 (156 enodes) 246.724 * * [simplify]: iters left: 2 (284 enodes) 246.792 * * [simplify]: iters left: 1 (471 enodes) 246.957 * * [simplify]: Extracting #0: cost 1 inf + 0 246.957 * * [simplify]: Extracting #1: cost 53 inf + 0 246.958 * * [simplify]: Extracting #2: cost 105 inf + 0 246.959 * * [simplify]: Extracting #3: cost 114 inf + 0 246.960 * * [simplify]: Extracting #4: cost 109 inf + 789 246.961 * * [simplify]: Extracting #5: cost 102 inf + 3566 246.964 * * [simplify]: Extracting #6: cost 90 inf + 6544 246.968 * * [simplify]: Extracting #7: cost 65 inf + 16398 246.981 * * [simplify]: Extracting #8: cost 37 inf + 31690 247.004 * * [simplify]: Extracting #9: cost 2 inf + 50763 247.027 * * [simplify]: Extracting #10: cost 0 inf + 52190 247.051 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 247.051 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 247.051 * * * * [progress]: [ 489 / 2703 ] simplifiying candidate # 247.052 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 247.052 * * [simplify]: iters left: 6 (20 enodes) 247.062 * * [simplify]: iters left: 5 (69 enodes) 247.084 * * [simplify]: iters left: 4 (108 enodes) 247.122 * * [simplify]: iters left: 3 (207 enodes) 247.213 * * [simplify]: iters left: 2 (436 enodes) 247.480 * * [simplify]: Extracting #0: cost 1 inf + 0 247.480 * * [simplify]: Extracting #1: cost 83 inf + 0 247.481 * * [simplify]: Extracting #2: cost 145 inf + 0 247.482 * * [simplify]: Extracting #3: cost 156 inf + 0 247.484 * * [simplify]: Extracting #4: cost 149 inf + 1433 247.486 * * [simplify]: Extracting #5: cost 138 inf + 3228 247.488 * * [simplify]: Extracting #6: cost 125 inf + 7169 247.502 * * [simplify]: Extracting #7: cost 57 inf + 39716 247.535 * * [simplify]: Extracting #8: cost 3 inf + 72657 247.569 * * [simplify]: Extracting #9: cost 0 inf + 74588 247.604 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 247.604 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 247.604 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 247.605 * * [simplify]: iters left: 6 (18 enodes) 247.613 * * [simplify]: iters left: 5 (61 enodes) 247.626 * * [simplify]: iters left: 4 (84 enodes) 247.641 * * [simplify]: iters left: 3 (129 enodes) 247.670 * * [simplify]: iters left: 2 (199 enodes) 247.723 * * [simplify]: iters left: 1 (298 enodes) 247.794 * * [simplify]: Extracting #0: cost 1 inf + 0 247.794 * * [simplify]: Extracting #1: cost 39 inf + 0 247.794 * * [simplify]: Extracting #2: cost 75 inf + 0 247.794 * * [simplify]: Extracting #3: cost 82 inf + 0 247.795 * * [simplify]: Extracting #4: cost 79 inf + 467 247.795 * * [simplify]: Extracting #5: cost 61 inf + 4894 247.796 * * [simplify]: Extracting #6: cost 55 inf + 5902 247.799 * * [simplify]: Extracting #7: cost 27 inf + 16887 247.807 * * [simplify]: Extracting #8: cost 1 inf + 29916 247.813 * * [simplify]: Extracting #9: cost 0 inf + 30359 247.819 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 247.820 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 247.820 * * * * [progress]: [ 490 / 2703 ] simplifiying candidate # 247.820 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 247.820 * * [simplify]: iters left: 6 (22 enodes) 247.827 * * [simplify]: iters left: 5 (77 enodes) 247.840 * * [simplify]: iters left: 4 (107 enodes) 247.858 * * [simplify]: iters left: 3 (185 enodes) 247.937 * * [simplify]: iters left: 2 (329 enodes) 248.079 * * [simplify]: Extracting #0: cost 1 inf + 0 248.080 * * [simplify]: Extracting #1: cost 62 inf + 0 248.080 * * [simplify]: Extracting #2: cost 108 inf + 1 248.081 * * [simplify]: Extracting #3: cost 116 inf + 1 248.081 * * [simplify]: Extracting #4: cost 109 inf + 911 248.083 * * [simplify]: Extracting #5: cost 94 inf + 6566 248.089 * * [simplify]: Extracting #6: cost 67 inf + 15295 248.095 * * [simplify]: Extracting #7: cost 32 inf + 32066 248.108 * * [simplify]: Extracting #8: cost 3 inf + 49538 248.121 * * [simplify]: Extracting #9: cost 0 inf + 51650 248.145 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 248.145 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 248.145 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 248.146 * * [simplify]: iters left: 6 (18 enodes) 248.154 * * [simplify]: iters left: 5 (61 enodes) 248.174 * * [simplify]: iters left: 4 (85 enodes) 248.202 * * [simplify]: iters left: 3 (150 enodes) 248.261 * * [simplify]: iters left: 2 (278 enodes) 248.329 * * [simplify]: iters left: 1 (459 enodes) 248.498 * * [simplify]: Extracting #0: cost 1 inf + 0 248.498 * * [simplify]: Extracting #1: cost 53 inf + 0 248.499 * * [simplify]: Extracting #2: cost 103 inf + 0 248.500 * * [simplify]: Extracting #3: cost 112 inf + 0 248.501 * * [simplify]: Extracting #4: cost 109 inf + 427 248.502 * * [simplify]: Extracting #5: cost 96 inf + 2725 248.508 * * [simplify]: Extracting #6: cost 31 inf + 30838 248.518 * * [simplify]: Extracting #7: cost 0 inf + 45840 248.529 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))) 248.529 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))))) 248.529 * * * * [progress]: [ 491 / 2703 ] simplifiying candidate # 248.529 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 248.529 * * [simplify]: iters left: 6 (20 enodes) 248.535 * * [simplify]: iters left: 5 (69 enodes) 248.558 * * [simplify]: iters left: 4 (108 enodes) 248.577 * * [simplify]: iters left: 3 (207 enodes) 248.629 * * [simplify]: iters left: 2 (436 enodes) 248.879 * * [simplify]: Extracting #0: cost 1 inf + 0 248.879 * * [simplify]: Extracting #1: cost 83 inf + 0 248.879 * * [simplify]: Extracting #2: cost 145 inf + 0 248.880 * * [simplify]: Extracting #3: cost 156 inf + 0 248.881 * * [simplify]: Extracting #4: cost 149 inf + 1433 248.882 * * [simplify]: Extracting #5: cost 138 inf + 3228 248.883 * * [simplify]: Extracting #6: cost 125 inf + 7169 248.890 * * [simplify]: Extracting #7: cost 57 inf + 39716 248.920 * * [simplify]: Extracting #8: cost 3 inf + 72657 248.941 * * [simplify]: Extracting #9: cost 0 inf + 74588 248.958 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 248.959 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 248.959 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 248.959 * * [simplify]: iters left: 6 (18 enodes) 248.964 * * [simplify]: iters left: 5 (61 enodes) 248.976 * * [simplify]: iters left: 4 (84 enodes) 249.003 * * [simplify]: iters left: 3 (129 enodes) 249.029 * * [simplify]: iters left: 2 (199 enodes) 249.079 * * [simplify]: iters left: 1 (298 enodes) 249.159 * * [simplify]: Extracting #0: cost 1 inf + 0 249.159 * * [simplify]: Extracting #1: cost 39 inf + 0 249.159 * * [simplify]: Extracting #2: cost 75 inf + 0 249.160 * * [simplify]: Extracting #3: cost 82 inf + 0 249.161 * * [simplify]: Extracting #4: cost 79 inf + 467 249.162 * * [simplify]: Extracting #5: cost 61 inf + 4894 249.163 * * [simplify]: Extracting #6: cost 55 inf + 5902 249.165 * * [simplify]: Extracting #7: cost 27 inf + 16887 249.172 * * [simplify]: Extracting #8: cost 1 inf + 29916 249.178 * * [simplify]: Extracting #9: cost 0 inf + 30359 249.184 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 249.184 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 249.185 * * * * [progress]: [ 492 / 2703 ] simplifiying candidate # 249.185 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 249.185 * * [simplify]: iters left: 6 (21 enodes) 249.190 * * [simplify]: iters left: 5 (72 enodes) 249.214 * * [simplify]: iters left: 4 (104 enodes) 249.233 * * [simplify]: iters left: 3 (188 enodes) 249.288 * * [simplify]: iters left: 2 (343 enodes) 249.458 * * [simplify]: Extracting #0: cost 1 inf + 0 249.458 * * [simplify]: Extracting #1: cost 62 inf + 0 249.459 * * [simplify]: Extracting #2: cost 103 inf + 1 249.460 * * [simplify]: Extracting #3: cost 111 inf + 1 249.461 * * [simplify]: Extracting #4: cost 104 inf + 911 249.463 * * [simplify]: Extracting #5: cost 89 inf + 6645 249.468 * * [simplify]: Extracting #6: cost 66 inf + 14787 249.480 * * [simplify]: Extracting #7: cost 25 inf + 34437 249.500 * * [simplify]: Extracting #8: cost 1 inf + 49029 249.521 * * [simplify]: Extracting #9: cost 0 inf + 49773 249.543 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 249.543 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 249.544 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 249.544 * * [simplify]: iters left: 6 (18 enodes) 249.552 * * [simplify]: iters left: 5 (61 enodes) 249.574 * * [simplify]: iters left: 4 (85 enodes) 249.589 * * [simplify]: iters left: 3 (150 enodes) 249.631 * * [simplify]: iters left: 2 (278 enodes) 249.714 * * [simplify]: iters left: 1 (459 enodes) 249.874 * * [simplify]: Extracting #0: cost 1 inf + 0 249.874 * * [simplify]: Extracting #1: cost 53 inf + 0 249.875 * * [simplify]: Extracting #2: cost 103 inf + 0 249.875 * * [simplify]: Extracting #3: cost 112 inf + 0 249.875 * * [simplify]: Extracting #4: cost 109 inf + 427 249.876 * * [simplify]: Extracting #5: cost 96 inf + 2725 249.884 * * [simplify]: Extracting #6: cost 31 inf + 30838 249.899 * * [simplify]: Extracting #7: cost 0 inf + 45840 249.910 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))) 249.910 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))))) 249.911 * * * * [progress]: [ 493 / 2703 ] simplifiying candidate # 249.911 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 249.911 * * [simplify]: iters left: 6 (24 enodes) 249.917 * * [simplify]: iters left: 5 (84 enodes) 249.931 * * [simplify]: iters left: 4 (132 enodes) 249.979 * * [simplify]: iters left: 3 (299 enodes) 250.077 * * [simplify]: Extracting #0: cost 1 inf + 0 250.078 * * [simplify]: Extracting #1: cost 104 inf + 0 250.079 * * [simplify]: Extracting #2: cost 250 inf + 0 250.081 * * [simplify]: Extracting #3: cost 259 inf + 0 250.083 * * [simplify]: Extracting #4: cost 252 inf + 1032 250.086 * * [simplify]: Extracting #5: cost 246 inf + 3106 250.090 * * [simplify]: Extracting #6: cost 216 inf + 13337 250.097 * * [simplify]: Extracting #7: cost 186 inf + 27780 250.142 * * [simplify]: Extracting #8: cost 34 inf + 129285 250.197 * * [simplify]: Extracting #9: cost 0 inf + 153511 250.252 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (cbrt (fabs (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 250.252 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (cbrt (fabs (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 250.253 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 250.253 * * [simplify]: iters left: 6 (21 enodes) 250.263 * * [simplify]: iters left: 5 (70 enodes) 250.285 * * [simplify]: iters left: 4 (94 enodes) 250.318 * * [simplify]: iters left: 3 (159 enodes) 250.377 * * [simplify]: iters left: 2 (287 enodes) 250.469 * * [simplify]: iters left: 1 (475 enodes) 250.674 * * [simplify]: Extracting #0: cost 1 inf + 0 250.674 * * [simplify]: Extracting #1: cost 53 inf + 0 250.674 * * [simplify]: Extracting #2: cost 104 inf + 0 250.675 * * [simplify]: Extracting #3: cost 114 inf + 0 250.675 * * [simplify]: Extracting #4: cost 112 inf + 366 250.678 * * [simplify]: Extracting #5: cost 106 inf + 1919 250.678 * * [simplify]: Extracting #6: cost 97 inf + 3892 250.682 * * [simplify]: Extracting #7: cost 52 inf + 24293 250.692 * * [simplify]: Extracting #8: cost 8 inf + 50242 250.704 * * [simplify]: Extracting #9: cost 0 inf + 54648 250.725 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 250.725 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 250.726 * * * * [progress]: [ 494 / 2703 ] simplifiying candidate # 250.726 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 250.726 * * [simplify]: iters left: 6 (25 enodes) 250.739 * * [simplify]: iters left: 5 (86 enodes) 250.755 * * [simplify]: iters left: 4 (126 enodes) 250.782 * * [simplify]: iters left: 3 (248 enodes) 250.885 * * [simplify]: Extracting #0: cost 1 inf + 0 250.886 * * [simplify]: Extracting #1: cost 76 inf + 0 250.889 * * [simplify]: Extracting #2: cost 169 inf + 0 250.890 * * [simplify]: Extracting #3: cost 180 inf + 0 250.892 * * [simplify]: Extracting #4: cost 176 inf + 709 250.893 * * [simplify]: Extracting #5: cost 169 inf + 3266 250.896 * * [simplify]: Extracting #6: cost 139 inf + 11586 250.914 * * [simplify]: Extracting #7: cost 34 inf + 75423 250.942 * * [simplify]: Extracting #8: cost 0 inf + 98424 250.965 * [simplify]: Simplified to (/ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (fabs (cbrt 2)))) 250.965 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 250.966 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 250.966 * * [simplify]: iters left: 6 (22 enodes) 250.971 * * [simplify]: iters left: 5 (73 enodes) 250.983 * * [simplify]: iters left: 4 (97 enodes) 251.013 * * [simplify]: iters left: 3 (162 enodes) 251.072 * * [simplify]: iters left: 2 (290 enodes) 251.172 * * [simplify]: iters left: 1 (477 enodes) 251.342 * * [simplify]: Extracting #0: cost 1 inf + 0 251.342 * * [simplify]: Extracting #1: cost 53 inf + 0 251.343 * * [simplify]: Extracting #2: cost 106 inf + 0 251.343 * * [simplify]: Extracting #3: cost 117 inf + 0 251.344 * * [simplify]: Extracting #4: cost 111 inf + 1152 251.344 * * [simplify]: Extracting #5: cost 107 inf + 2342 251.345 * * [simplify]: Extracting #6: cost 98 inf + 4294 251.350 * * [simplify]: Extracting #7: cost 62 inf + 19468 251.362 * * [simplify]: Extracting #8: cost 37 inf + 33692 251.376 * * [simplify]: Extracting #9: cost 5 inf + 53256 251.388 * * [simplify]: Extracting #10: cost 0 inf + 56554 251.403 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 251.403 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 251.403 * * * * [progress]: [ 495 / 2703 ] simplifiying candidate # 251.403 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 251.403 * * [simplify]: iters left: 6 (22 enodes) 251.409 * * [simplify]: iters left: 5 (76 enodes) 251.421 * * [simplify]: iters left: 4 (115 enodes) 251.451 * * [simplify]: iters left: 3 (214 enodes) 251.509 * * [simplify]: iters left: 2 (445 enodes) 251.793 * * [simplify]: Extracting #0: cost 1 inf + 0 251.794 * * [simplify]: Extracting #1: cost 83 inf + 0 251.795 * * [simplify]: Extracting #2: cost 145 inf + 0 251.796 * * [simplify]: Extracting #3: cost 158 inf + 0 251.798 * * [simplify]: Extracting #4: cost 154 inf + 830 251.800 * * [simplify]: Extracting #5: cost 137 inf + 3633 251.811 * * [simplify]: Extracting #6: cost 71 inf + 34593 251.843 * * [simplify]: Extracting #7: cost 7 inf + 71666 251.876 * * [simplify]: Extracting #8: cost 0 inf + 76032 251.910 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 251.910 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 251.911 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 251.911 * * [simplify]: iters left: 6 (20 enodes) 251.921 * * [simplify]: iters left: 5 (67 enodes) 251.935 * * [simplify]: iters left: 4 (90 enodes) 251.949 * * [simplify]: iters left: 3 (135 enodes) 251.992 * * [simplify]: iters left: 2 (205 enodes) 252.049 * * [simplify]: iters left: 1 (305 enodes) 252.145 * * [simplify]: Extracting #0: cost 1 inf + 0 252.145 * * [simplify]: Extracting #1: cost 39 inf + 0 252.145 * * [simplify]: Extracting #2: cost 76 inf + 0 252.145 * * [simplify]: Extracting #3: cost 85 inf + 0 252.146 * * [simplify]: Extracting #4: cost 82 inf + 468 252.146 * * [simplify]: Extracting #5: cost 69 inf + 2865 252.147 * * [simplify]: Extracting #6: cost 57 inf + 6102 252.150 * * [simplify]: Extracting #7: cost 26 inf + 20016 252.156 * * [simplify]: Extracting #8: cost 3 inf + 32054 252.163 * * [simplify]: Extracting #9: cost 0 inf + 33523 252.170 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt 2))))) 252.170 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt 2))))))) 252.170 * * * * [progress]: [ 496 / 2703 ] simplifiying candidate # 252.171 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 252.171 * * [simplify]: iters left: 6 (24 enodes) 252.181 * * [simplify]: iters left: 5 (84 enodes) 252.207 * * [simplify]: iters left: 4 (114 enodes) 252.238 * * [simplify]: iters left: 3 (192 enodes) 252.282 * * [simplify]: iters left: 2 (338 enodes) 252.850 * * [simplify]: Extracting #0: cost 1 inf + 0 252.850 * * [simplify]: Extracting #1: cost 62 inf + 0 252.851 * * [simplify]: Extracting #2: cost 107 inf + 1 252.855 * * [simplify]: Extracting #3: cost 117 inf + 1 252.855 * * [simplify]: Extracting #4: cost 108 inf + 1941 252.856 * * [simplify]: Extracting #5: cost 95 inf + 6289 252.859 * * [simplify]: Extracting #6: cost 68 inf + 15357 252.866 * * [simplify]: Extracting #7: cost 26 inf + 36633 252.878 * * [simplify]: Extracting #8: cost 0 inf + 52834 252.900 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (fabs (cbrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) 252.900 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (fabs (cbrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 252.901 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 252.901 * * [simplify]: iters left: 6 (20 enodes) 252.911 * * [simplify]: iters left: 5 (67 enodes) 252.932 * * [simplify]: iters left: 4 (91 enodes) 252.962 * * [simplify]: iters left: 3 (156 enodes) 253.022 * * [simplify]: iters left: 2 (284 enodes) 253.151 * * [simplify]: iters left: 1 (463 enodes) 253.302 * * [simplify]: Extracting #0: cost 1 inf + 0 253.302 * * [simplify]: Extracting #1: cost 53 inf + 0 253.304 * * [simplify]: Extracting #2: cost 105 inf + 0 253.304 * * [simplify]: Extracting #3: cost 116 inf + 0 253.305 * * [simplify]: Extracting #4: cost 113 inf + 789 253.307 * * [simplify]: Extracting #5: cost 101 inf + 2224 253.314 * * [simplify]: Extracting #6: cost 48 inf + 25377 253.334 * * [simplify]: Extracting #7: cost 3 inf + 48956 253.359 * * [simplify]: Extracting #8: cost 0 inf + 50626 253.381 * [simplify]: Simplified to (/ (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))) 253.381 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) (/ (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))))) 253.381 * * * * [progress]: [ 497 / 2703 ] simplifiying candidate # 253.382 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 253.382 * * [simplify]: iters left: 6 (22 enodes) 253.393 * * [simplify]: iters left: 5 (76 enodes) 253.415 * * [simplify]: iters left: 4 (115 enodes) 253.437 * * [simplify]: iters left: 3 (214 enodes) 253.532 * * [simplify]: iters left: 2 (445 enodes) 253.781 * * [simplify]: Extracting #0: cost 1 inf + 0 253.781 * * [simplify]: Extracting #1: cost 83 inf + 0 253.782 * * [simplify]: Extracting #2: cost 145 inf + 0 253.782 * * [simplify]: Extracting #3: cost 158 inf + 0 253.783 * * [simplify]: Extracting #4: cost 154 inf + 830 253.784 * * [simplify]: Extracting #5: cost 137 inf + 3633 253.789 * * [simplify]: Extracting #6: cost 71 inf + 34593 253.821 * * [simplify]: Extracting #7: cost 7 inf + 71666 253.838 * * [simplify]: Extracting #8: cost 0 inf + 76032 253.855 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 253.855 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 253.855 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 253.856 * * [simplify]: iters left: 6 (20 enodes) 253.862 * * [simplify]: iters left: 5 (67 enodes) 253.873 * * [simplify]: iters left: 4 (90 enodes) 253.888 * * [simplify]: iters left: 3 (135 enodes) 253.926 * * [simplify]: iters left: 2 (205 enodes) 253.967 * * [simplify]: iters left: 1 (305 enodes) 254.051 * * [simplify]: Extracting #0: cost 1 inf + 0 254.052 * * [simplify]: Extracting #1: cost 39 inf + 0 254.052 * * [simplify]: Extracting #2: cost 76 inf + 0 254.053 * * [simplify]: Extracting #3: cost 85 inf + 0 254.053 * * [simplify]: Extracting #4: cost 82 inf + 468 254.054 * * [simplify]: Extracting #5: cost 69 inf + 2865 254.058 * * [simplify]: Extracting #6: cost 57 inf + 6102 254.064 * * [simplify]: Extracting #7: cost 26 inf + 20016 254.075 * * [simplify]: Extracting #8: cost 3 inf + 32054 254.089 * * [simplify]: Extracting #9: cost 0 inf + 33523 254.102 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt 2))))) 254.103 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt 2))))))) 254.103 * * * * [progress]: [ 498 / 2703 ] simplifiying candidate # 254.103 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 254.103 * * [simplify]: iters left: 6 (23 enodes) 254.115 * * [simplify]: iters left: 5 (79 enodes) 254.141 * * [simplify]: iters left: 4 (111 enodes) 254.172 * * [simplify]: iters left: 3 (195 enodes) 254.232 * * [simplify]: iters left: 2 (351 enodes) 254.431 * * [simplify]: Extracting #0: cost 1 inf + 0 254.431 * * [simplify]: Extracting #1: cost 62 inf + 0 254.432 * * [simplify]: Extracting #2: cost 104 inf + 1 254.433 * * [simplify]: Extracting #3: cost 114 inf + 1 254.434 * * [simplify]: Extracting #4: cost 108 inf + 1052 254.436 * * [simplify]: Extracting #5: cost 95 inf + 5179 254.441 * * [simplify]: Extracting #6: cost 65 inf + 15374 254.453 * * [simplify]: Extracting #7: cost 28 inf + 34012 254.475 * * [simplify]: Extracting #8: cost 0 inf + 51802 254.493 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 254.493 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 254.493 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 254.494 * * [simplify]: iters left: 6 (20 enodes) 254.499 * * [simplify]: iters left: 5 (67 enodes) 254.510 * * [simplify]: iters left: 4 (91 enodes) 254.527 * * [simplify]: iters left: 3 (156 enodes) 254.586 * * [simplify]: iters left: 2 (284 enodes) 254.687 * * [simplify]: iters left: 1 (463 enodes) 254.832 * * [simplify]: Extracting #0: cost 1 inf + 0 254.832 * * [simplify]: Extracting #1: cost 53 inf + 0 254.832 * * [simplify]: Extracting #2: cost 105 inf + 0 254.833 * * [simplify]: Extracting #3: cost 116 inf + 0 254.833 * * [simplify]: Extracting #4: cost 113 inf + 789 254.834 * * [simplify]: Extracting #5: cost 101 inf + 2224 254.838 * * [simplify]: Extracting #6: cost 48 inf + 25377 254.848 * * [simplify]: Extracting #7: cost 3 inf + 48956 254.859 * * [simplify]: Extracting #8: cost 0 inf + 50626 254.870 * [simplify]: Simplified to (/ (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))) 254.871 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) (/ (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))))) 254.871 * * * * [progress]: [ 499 / 2703 ] simplifiying candidate # 254.871 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 254.872 * * [simplify]: iters left: 6 (22 enodes) 254.886 * * [simplify]: iters left: 5 (77 enodes) 254.910 * * [simplify]: iters left: 4 (125 enodes) 254.948 * * [simplify]: iters left: 3 (292 enodes) 255.074 * * [simplify]: Extracting #0: cost 1 inf + 0 255.074 * * [simplify]: Extracting #1: cost 103 inf + 0 255.075 * * [simplify]: Extracting #2: cost 248 inf + 0 255.076 * * [simplify]: Extracting #3: cost 255 inf + 0 255.077 * * [simplify]: Extracting #4: cost 243 inf + 2058 255.079 * * [simplify]: Extracting #5: cost 217 inf + 13092 255.082 * * [simplify]: Extracting #6: cost 208 inf + 14564 255.088 * * [simplify]: Extracting #7: cost 189 inf + 22620 255.115 * * [simplify]: Extracting #8: cost 72 inf + 94835 255.154 * * [simplify]: Extracting #9: cost 10 inf + 136003 255.193 * * [simplify]: Extracting #10: cost 0 inf + 142379 255.228 * [simplify]: Simplified to (/ (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2)))) 255.228 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 255.228 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 255.228 * * [simplify]: iters left: 6 (20 enodes) 255.233 * * [simplify]: iters left: 5 (67 enodes) 255.252 * * [simplify]: iters left: 4 (91 enodes) 255.277 * * [simplify]: iters left: 3 (156 enodes) 255.318 * * [simplify]: iters left: 2 (284 enodes) 255.408 * * [simplify]: iters left: 1 (469 enodes) 255.627 * * [simplify]: Extracting #0: cost 1 inf + 0 255.627 * * [simplify]: Extracting #1: cost 53 inf + 0 255.628 * * [simplify]: Extracting #2: cost 105 inf + 0 255.629 * * [simplify]: Extracting #3: cost 114 inf + 0 255.630 * * [simplify]: Extracting #4: cost 108 inf + 1091 255.631 * * [simplify]: Extracting #5: cost 101 inf + 3607 255.633 * * [simplify]: Extracting #6: cost 89 inf + 6705 255.641 * * [simplify]: Extracting #7: cost 48 inf + 26254 255.658 * * [simplify]: Extracting #8: cost 4 inf + 48915 255.669 * * [simplify]: Extracting #9: cost 0 inf + 51188 255.683 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 255.683 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 255.683 * * * * [progress]: [ 500 / 2703 ] simplifiying candidate # 255.683 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 255.683 * * [simplify]: iters left: 6 (23 enodes) 255.689 * * [simplify]: iters left: 5 (79 enodes) 255.702 * * [simplify]: iters left: 4 (119 enodes) 255.738 * * [simplify]: iters left: 3 (241 enodes) 255.856 * * [simplify]: Extracting #0: cost 1 inf + 0 255.856 * * [simplify]: Extracting #1: cost 76 inf + 0 255.856 * * [simplify]: Extracting #2: cost 169 inf + 0 255.857 * * [simplify]: Extracting #3: cost 178 inf + 0 255.858 * * [simplify]: Extracting #4: cost 169 inf + 1253 255.859 * * [simplify]: Extracting #5: cost 163 inf + 3830 255.860 * * [simplify]: Extracting #6: cost 133 inf + 13077 255.872 * * [simplify]: Extracting #7: cost 33 inf + 70466 255.888 * * [simplify]: Extracting #8: cost 0 inf + 91780 255.906 * [simplify]: Simplified to (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (cos th))) 255.906 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 255.907 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 255.907 * * [simplify]: iters left: 6 (21 enodes) 255.912 * * [simplify]: iters left: 5 (70 enodes) 255.923 * * [simplify]: iters left: 4 (94 enodes) 255.938 * * [simplify]: iters left: 3 (159 enodes) 255.981 * * [simplify]: iters left: 2 (287 enodes) 256.085 * * [simplify]: iters left: 1 (471 enodes) 256.240 * * [simplify]: Extracting #0: cost 1 inf + 0 256.240 * * [simplify]: Extracting #1: cost 53 inf + 0 256.241 * * [simplify]: Extracting #2: cost 106 inf + 0 256.241 * * [simplify]: Extracting #3: cost 116 inf + 0 256.242 * * [simplify]: Extracting #4: cost 113 inf + 366 256.243 * * [simplify]: Extracting #5: cost 107 inf + 1999 256.244 * * [simplify]: Extracting #6: cost 92 inf + 5942 256.251 * * [simplify]: Extracting #7: cost 54 inf + 22994 256.272 * * [simplify]: Extracting #8: cost 6 inf + 49171 256.287 * * [simplify]: Extracting #9: cost 0 inf + 52552 256.299 * [simplify]: Simplified to (/ (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 256.299 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 256.299 * * * * [progress]: [ 501 / 2703 ] simplifiying candidate # 256.299 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 256.299 * * [simplify]: iters left: 6 (20 enodes) 256.306 * * [simplify]: iters left: 5 (69 enodes) 256.320 * * [simplify]: iters left: 4 (108 enodes) 256.357 * * [simplify]: iters left: 3 (207 enodes) 256.449 * * [simplify]: iters left: 2 (436 enodes) 256.746 * * [simplify]: Extracting #0: cost 1 inf + 0 256.747 * * [simplify]: Extracting #1: cost 83 inf + 0 256.748 * * [simplify]: Extracting #2: cost 145 inf + 0 256.749 * * [simplify]: Extracting #3: cost 156 inf + 0 256.751 * * [simplify]: Extracting #4: cost 149 inf + 1433 256.753 * * [simplify]: Extracting #5: cost 138 inf + 3148 256.755 * * [simplify]: Extracting #6: cost 125 inf + 6769 256.769 * * [simplify]: Extracting #7: cost 57 inf + 37716 256.799 * * [simplify]: Extracting #8: cost 3 inf + 68737 256.830 * * [simplify]: Extracting #9: cost 0 inf + 70428 256.846 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 256.846 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 256.847 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 256.847 * * [simplify]: iters left: 6 (19 enodes) 256.852 * * [simplify]: iters left: 5 (64 enodes) 256.862 * * [simplify]: iters left: 4 (87 enodes) 256.888 * * [simplify]: iters left: 3 (132 enodes) 256.929 * * [simplify]: iters left: 2 (202 enodes) 256.983 * * [simplify]: iters left: 1 (301 enodes) 257.058 * * [simplify]: Extracting #0: cost 1 inf + 0 257.058 * * [simplify]: Extracting #1: cost 39 inf + 0 257.059 * * [simplify]: Extracting #2: cost 76 inf + 0 257.059 * * [simplify]: Extracting #3: cost 84 inf + 0 257.060 * * [simplify]: Extracting #4: cost 79 inf + 569 257.060 * * [simplify]: Extracting #5: cost 60 inf + 4716 257.061 * * [simplify]: Extracting #6: cost 55 inf + 6064 257.064 * * [simplify]: Extracting #7: cost 28 inf + 17407 257.073 * * [simplify]: Extracting #8: cost 1 inf + 30057 257.086 * * [simplify]: Extracting #9: cost 0 inf + 30641 257.100 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) 257.101 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))))) 257.101 * * * * [progress]: [ 502 / 2703 ] simplifiying candidate # 257.101 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 257.102 * * [simplify]: iters left: 6 (22 enodes) 257.114 * * [simplify]: iters left: 5 (77 enodes) 257.138 * * [simplify]: iters left: 4 (107 enodes) 257.169 * * [simplify]: iters left: 3 (185 enodes) 257.217 * * [simplify]: iters left: 2 (329 enodes) 257.409 * * [simplify]: Extracting #0: cost 1 inf + 0 257.409 * * [simplify]: Extracting #1: cost 62 inf + 0 257.409 * * [simplify]: Extracting #2: cost 108 inf + 1 257.410 * * [simplify]: Extracting #3: cost 116 inf + 1 257.411 * * [simplify]: Extracting #4: cost 109 inf + 911 257.412 * * [simplify]: Extracting #5: cost 94 inf + 6166 257.414 * * [simplify]: Extracting #6: cost 67 inf + 14175 257.420 * * [simplify]: Extracting #7: cost 32 inf + 30386 257.430 * * [simplify]: Extracting #8: cost 3 inf + 46738 257.443 * * [simplify]: Extracting #9: cost 0 inf + 48690 257.464 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 257.464 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 257.465 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 257.465 * * [simplify]: iters left: 6 (19 enodes) 257.470 * * [simplify]: iters left: 5 (64 enodes) 257.484 * * [simplify]: iters left: 4 (88 enodes) 257.499 * * [simplify]: iters left: 3 (153 enodes) 257.528 * * [simplify]: iters left: 2 (280 enodes) 257.609 * * [simplify]: iters left: 1 (465 enodes) 257.815 * * [simplify]: Extracting #0: cost 1 inf + 0 257.816 * * [simplify]: Extracting #1: cost 53 inf + 0 257.816 * * [simplify]: Extracting #2: cost 105 inf + 0 257.817 * * [simplify]: Extracting #3: cost 115 inf + 0 257.818 * * [simplify]: Extracting #4: cost 111 inf + 729 257.820 * * [simplify]: Extracting #5: cost 95 inf + 3771 257.830 * * [simplify]: Extracting #6: cost 30 inf + 30481 257.851 * * [simplify]: Extracting #7: cost 0 inf + 46624 257.872 * [simplify]: Simplified to (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 257.872 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) 257.872 * * * * [progress]: [ 503 / 2703 ] simplifiying candidate # 257.872 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 257.873 * * [simplify]: iters left: 6 (20 enodes) 257.882 * * [simplify]: iters left: 5 (69 enodes) 257.903 * * [simplify]: iters left: 4 (108 enodes) 257.940 * * [simplify]: iters left: 3 (207 enodes) 258.012 * * [simplify]: iters left: 2 (436 enodes) 258.271 * * [simplify]: Extracting #0: cost 1 inf + 0 258.271 * * [simplify]: Extracting #1: cost 83 inf + 0 258.272 * * [simplify]: Extracting #2: cost 145 inf + 0 258.273 * * [simplify]: Extracting #3: cost 156 inf + 0 258.275 * * [simplify]: Extracting #4: cost 149 inf + 1433 258.277 * * [simplify]: Extracting #5: cost 138 inf + 3148 258.280 * * [simplify]: Extracting #6: cost 125 inf + 6769 258.293 * * [simplify]: Extracting #7: cost 57 inf + 37716 258.323 * * [simplify]: Extracting #8: cost 3 inf + 68737 258.356 * * [simplify]: Extracting #9: cost 0 inf + 70428 258.387 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 258.387 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 258.388 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 258.388 * * [simplify]: iters left: 6 (19 enodes) 258.397 * * [simplify]: iters left: 5 (64 enodes) 258.419 * * [simplify]: iters left: 4 (87 enodes) 258.448 * * [simplify]: iters left: 3 (132 enodes) 258.491 * * [simplify]: iters left: 2 (202 enodes) 258.562 * * [simplify]: iters left: 1 (301 enodes) 258.648 * * [simplify]: Extracting #0: cost 1 inf + 0 258.648 * * [simplify]: Extracting #1: cost 39 inf + 0 258.648 * * [simplify]: Extracting #2: cost 76 inf + 0 258.649 * * [simplify]: Extracting #3: cost 84 inf + 0 258.649 * * [simplify]: Extracting #4: cost 79 inf + 569 258.650 * * [simplify]: Extracting #5: cost 60 inf + 4716 258.651 * * [simplify]: Extracting #6: cost 55 inf + 6064 258.653 * * [simplify]: Extracting #7: cost 28 inf + 17407 258.659 * * [simplify]: Extracting #8: cost 1 inf + 30057 258.669 * * [simplify]: Extracting #9: cost 0 inf + 30641 258.682 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) 258.682 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))))) 258.683 * * * * [progress]: [ 504 / 2703 ] simplifiying candidate # 258.683 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 258.683 * * [simplify]: iters left: 6 (21 enodes) 258.694 * * [simplify]: iters left: 5 (72 enodes) 258.716 * * [simplify]: iters left: 4 (104 enodes) 258.756 * * [simplify]: iters left: 3 (188 enodes) 258.818 * * [simplify]: iters left: 2 (343 enodes) 258.992 * * [simplify]: Extracting #0: cost 1 inf + 0 258.992 * * [simplify]: Extracting #1: cost 62 inf + 0 258.993 * * [simplify]: Extracting #2: cost 103 inf + 1 258.994 * * [simplify]: Extracting #3: cost 111 inf + 1 258.995 * * [simplify]: Extracting #4: cost 104 inf + 911 258.997 * * [simplify]: Extracting #5: cost 89 inf + 6165 259.001 * * [simplify]: Extracting #6: cost 66 inf + 13667 259.012 * * [simplify]: Extracting #7: cost 25 inf + 32117 259.030 * * [simplify]: Extracting #8: cost 1 inf + 46069 259.046 * * [simplify]: Extracting #9: cost 0 inf + 46813 259.056 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 259.056 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 259.056 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 259.056 * * [simplify]: iters left: 6 (19 enodes) 259.061 * * [simplify]: iters left: 5 (64 enodes) 259.071 * * [simplify]: iters left: 4 (88 enodes) 259.093 * * [simplify]: iters left: 3 (153 enodes) 259.129 * * [simplify]: iters left: 2 (280 enodes) 259.210 * * [simplify]: iters left: 1 (465 enodes) 259.403 * * [simplify]: Extracting #0: cost 1 inf + 0 259.403 * * [simplify]: Extracting #1: cost 53 inf + 0 259.404 * * [simplify]: Extracting #2: cost 105 inf + 0 259.405 * * [simplify]: Extracting #3: cost 115 inf + 0 259.406 * * [simplify]: Extracting #4: cost 111 inf + 729 259.407 * * [simplify]: Extracting #5: cost 95 inf + 3771 259.418 * * [simplify]: Extracting #6: cost 30 inf + 30481 259.441 * * [simplify]: Extracting #7: cost 0 inf + 46624 259.463 * [simplify]: Simplified to (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 259.463 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) 259.463 * * * * [progress]: [ 505 / 2703 ] simplifiying candidate # 259.464 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 259.464 * * [simplify]: iters left: 6 (23 enodes) 259.477 * * [simplify]: iters left: 5 (82 enodes) 259.504 * * [simplify]: iters left: 4 (132 enodes) 259.553 * * [simplify]: iters left: 3 (290 enodes) 259.657 * * [simplify]: Extracting #0: cost 1 inf + 0 259.657 * * [simplify]: Extracting #1: cost 94 inf + 0 259.658 * * [simplify]: Extracting #2: cost 207 inf + 1 259.660 * * [simplify]: Extracting #3: cost 214 inf + 1 259.662 * * [simplify]: Extracting #4: cost 200 inf + 2325 259.664 * * [simplify]: Extracting #5: cost 193 inf + 5408 259.667 * * [simplify]: Extracting #6: cost 183 inf + 6984 259.672 * * [simplify]: Extracting #7: cost 158 inf + 16863 259.699 * * [simplify]: Extracting #8: cost 49 inf + 72992 259.737 * * [simplify]: Extracting #9: cost 0 inf + 98878 259.758 * * [simplify]: Extracting #10: cost 0 inf + 98598 259.798 * [simplify]: Simplified to (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 259.799 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 259.799 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 259.799 * * [simplify]: iters left: 6 (18 enodes) 259.808 * * [simplify]: iters left: 5 (61 enodes) 259.821 * * [simplify]: iters left: 4 (84 enodes) 259.835 * * [simplify]: iters left: 3 (143 enodes) 259.870 * * [simplify]: iters left: 2 (237 enodes) 259.964 * * [simplify]: iters left: 1 (330 enodes) 260.043 * * [simplify]: Extracting #0: cost 1 inf + 0 260.043 * * [simplify]: Extracting #1: cost 38 inf + 0 260.044 * * [simplify]: Extracting #2: cost 74 inf + 0 260.044 * * [simplify]: Extracting #3: cost 80 inf + 0 260.044 * * [simplify]: Extracting #4: cost 75 inf + 588 260.045 * * [simplify]: Extracting #5: cost 68 inf + 3326 260.045 * * [simplify]: Extracting #6: cost 63 inf + 3712 260.048 * * [simplify]: Extracting #7: cost 35 inf + 14432 260.055 * * [simplify]: Extracting #8: cost 3 inf + 29896 260.064 * * [simplify]: Extracting #9: cost 0 inf + 31667 260.077 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 260.078 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 260.078 * * * * [progress]: [ 506 / 2703 ] simplifiying candidate # 260.078 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 260.079 * * [simplify]: iters left: 6 (24 enodes) 260.091 * * [simplify]: iters left: 5 (84 enodes) 260.106 * * [simplify]: iters left: 4 (126 enodes) 260.134 * * [simplify]: iters left: 3 (239 enodes) 260.229 * * [simplify]: Extracting #0: cost 1 inf + 0 260.229 * * [simplify]: Extracting #1: cost 66 inf + 0 260.230 * * [simplify]: Extracting #2: cost 134 inf + 1 260.231 * * [simplify]: Extracting #3: cost 142 inf + 1 260.232 * * [simplify]: Extracting #4: cost 134 inf + 1174 260.233 * * [simplify]: Extracting #5: cost 121 inf + 5447 260.235 * * [simplify]: Extracting #6: cost 112 inf + 7545 260.241 * * [simplify]: Extracting #7: cost 73 inf + 22385 260.261 * * [simplify]: Extracting #8: cost 11 inf + 53625 260.286 * * [simplify]: Extracting #9: cost 0 inf + 59668 260.308 * [simplify]: Simplified to (* (cbrt (cos th)) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 260.308 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 260.309 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 260.309 * * [simplify]: iters left: 6 (19 enodes) 260.318 * * [simplify]: iters left: 5 (64 enodes) 260.338 * * [simplify]: iters left: 4 (87 enodes) 260.366 * * [simplify]: iters left: 3 (146 enodes) 260.420 * * [simplify]: iters left: 2 (240 enodes) 260.485 * * [simplify]: iters left: 1 (333 enodes) 260.634 * * [simplify]: Extracting #0: cost 1 inf + 0 260.634 * * [simplify]: Extracting #1: cost 38 inf + 0 260.635 * * [simplify]: Extracting #2: cost 75 inf + 0 260.636 * * [simplify]: Extracting #3: cost 82 inf + 0 260.636 * * [simplify]: Extracting #4: cost 78 inf + 327 260.637 * * [simplify]: Extracting #5: cost 71 inf + 2984 260.639 * * [simplify]: Extracting #6: cost 64 inf + 3753 260.642 * * [simplify]: Extracting #7: cost 45 inf + 9902 260.647 * * [simplify]: Extracting #8: cost 4 inf + 30637 260.655 * * [simplify]: Extracting #9: cost 0 inf + 32791 260.662 * [simplify]: Simplified to (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 260.662 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 260.663 * * * * [progress]: [ 507 / 2703 ] simplifiying candidate # 260.663 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 260.663 * * [simplify]: iters left: 6 (21 enodes) 260.669 * * [simplify]: iters left: 5 (74 enodes) 260.690 * * [simplify]: iters left: 4 (115 enodes) 260.712 * * [simplify]: iters left: 3 (215 enodes) 260.784 * * [simplify]: iters left: 2 (401 enodes) 261.078 * * [simplify]: Extracting #0: cost 1 inf + 0 261.079 * * [simplify]: Extracting #1: cost 98 inf + 0 261.081 * * [simplify]: Extracting #2: cost 218 inf + 1 261.082 * * [simplify]: Extracting #3: cost 227 inf + 1 261.085 * * [simplify]: Extracting #4: cost 210 inf + 4115 261.089 * * [simplify]: Extracting #5: cost 168 inf + 14880 261.094 * * [simplify]: Extracting #6: cost 163 inf + 15971 261.104 * * [simplify]: Extracting #7: cost 127 inf + 31015 261.122 * * [simplify]: Extracting #8: cost 38 inf + 69858 261.142 * * [simplify]: Extracting #9: cost 1 inf + 87379 261.179 * * [simplify]: Extracting #10: cost 0 inf + 87843 261.215 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (sqrt 2))) 261.215 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 261.216 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 261.216 * * [simplify]: iters left: 6 (16 enodes) 261.224 * * [simplify]: iters left: 5 (55 enodes) 261.241 * * [simplify]: iters left: 4 (75 enodes) 261.264 * * [simplify]: iters left: 3 (109 enodes) 261.298 * * [simplify]: iters left: 2 (156 enodes) 261.324 * * [simplify]: iters left: 1 (203 enodes) 261.375 * * [simplify]: Extracting #0: cost 1 inf + 0 261.375 * * [simplify]: Extracting #1: cost 28 inf + 0 261.376 * * [simplify]: Extracting #2: cost 55 inf + 0 261.376 * * [simplify]: Extracting #3: cost 62 inf + 0 261.376 * * [simplify]: Extracting #4: cost 60 inf + 266 261.376 * * [simplify]: Extracting #5: cost 48 inf + 1740 261.378 * * [simplify]: Extracting #6: cost 13 inf + 13677 261.383 * * [simplify]: Extracting #7: cost 0 inf + 19440 261.391 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 261.391 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (sqrt 2))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 261.391 * * * * [progress]: [ 508 / 2703 ] simplifiying candidate # 261.392 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt 1))) 261.392 * * [simplify]: iters left: 6 (21 enodes) 261.403 * * [simplify]: iters left: 5 (74 enodes) 261.421 * * [simplify]: iters left: 4 (104 enodes) 261.443 * * [simplify]: iters left: 3 (157 enodes) 261.517 * * [simplify]: iters left: 2 (316 enodes) 261.687 * * [simplify]: Extracting #0: cost 1 inf + 0 261.687 * * [simplify]: Extracting #1: cost 39 inf + 0 261.688 * * [simplify]: Extracting #2: cost 65 inf + 1 261.689 * * [simplify]: Extracting #3: cost 71 inf + 1 261.689 * * [simplify]: Extracting #4: cost 67 inf + 550 261.691 * * [simplify]: Extracting #5: cost 58 inf + 2949 261.693 * * [simplify]: Extracting #6: cost 46 inf + 5631 261.695 * * [simplify]: Extracting #7: cost 43 inf + 5754 261.698 * * [simplify]: Extracting #8: cost 26 inf + 10824 261.704 * * [simplify]: Extracting #9: cost 3 inf + 20907 261.710 * * [simplify]: Extracting #10: cost 0 inf + 22438 261.716 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) 261.716 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 261.716 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 261.716 * * [simplify]: iters left: 6 (17 enodes) 261.720 * * [simplify]: iters left: 5 (58 enodes) 261.730 * * [simplify]: iters left: 4 (81 enodes) 261.759 * * [simplify]: iters left: 3 (140 enodes) 261.785 * * [simplify]: iters left: 2 (234 enodes) 261.844 * * [simplify]: iters left: 1 (327 enodes) 261.949 * * [simplify]: Extracting #0: cost 1 inf + 0 261.949 * * [simplify]: Extracting #1: cost 38 inf + 0 261.949 * * [simplify]: Extracting #2: cost 74 inf + 0 261.949 * * [simplify]: Extracting #3: cost 81 inf + 0 261.950 * * [simplify]: Extracting #4: cost 78 inf + 387 261.950 * * [simplify]: Extracting #5: cost 61 inf + 3411 261.953 * * [simplify]: Extracting #6: cost 32 inf + 15042 261.959 * * [simplify]: Extracting #7: cost 1 inf + 27940 261.966 * * [simplify]: Extracting #8: cost 0 inf + 28383 261.972 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 261.972 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 261.973 * * * * [progress]: [ 509 / 2703 ] simplifiying candidate # 261.973 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 261.973 * * [simplify]: iters left: 6 (21 enodes) 261.979 * * [simplify]: iters left: 5 (74 enodes) 261.992 * * [simplify]: iters left: 4 (115 enodes) 262.033 * * [simplify]: iters left: 3 (215 enodes) 262.137 * * [simplify]: iters left: 2 (401 enodes) 262.316 * * [simplify]: Extracting #0: cost 1 inf + 0 262.317 * * [simplify]: Extracting #1: cost 98 inf + 0 262.319 * * [simplify]: Extracting #2: cost 218 inf + 1 262.320 * * [simplify]: Extracting #3: cost 227 inf + 1 262.323 * * [simplify]: Extracting #4: cost 210 inf + 4115 262.327 * * [simplify]: Extracting #5: cost 168 inf + 14880 262.336 * * [simplify]: Extracting #6: cost 163 inf + 15971 262.342 * * [simplify]: Extracting #7: cost 127 inf + 31015 262.355 * * [simplify]: Extracting #8: cost 38 inf + 69858 262.375 * * [simplify]: Extracting #9: cost 1 inf + 87379 262.394 * * [simplify]: Extracting #10: cost 0 inf + 87843 262.418 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (sqrt 2))) 262.418 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 262.419 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 262.419 * * [simplify]: iters left: 6 (16 enodes) 262.427 * * [simplify]: iters left: 5 (55 enodes) 262.440 * * [simplify]: iters left: 4 (75 enodes) 262.452 * * [simplify]: iters left: 3 (109 enodes) 262.470 * * [simplify]: iters left: 2 (156 enodes) 262.513 * * [simplify]: iters left: 1 (203 enodes) 262.552 * * [simplify]: Extracting #0: cost 1 inf + 0 262.552 * * [simplify]: Extracting #1: cost 28 inf + 0 262.553 * * [simplify]: Extracting #2: cost 55 inf + 0 262.553 * * [simplify]: Extracting #3: cost 62 inf + 0 262.554 * * [simplify]: Extracting #4: cost 60 inf + 266 262.554 * * [simplify]: Extracting #5: cost 48 inf + 1740 262.558 * * [simplify]: Extracting #6: cost 13 inf + 13677 262.567 * * [simplify]: Extracting #7: cost 0 inf + 19440 262.575 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 262.575 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (sqrt 2))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 262.575 * * * * [progress]: [ 510 / 2703 ] simplifiying candidate # 262.575 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) 1)) 262.576 * * [simplify]: iters left: 6 (21 enodes) 262.585 * * [simplify]: iters left: 5 (72 enodes) 262.599 * * [simplify]: iters left: 4 (104 enodes) 262.634 * * [simplify]: iters left: 3 (165 enodes) 262.691 * * [simplify]: iters left: 2 (320 enodes) 262.851 * * [simplify]: Extracting #0: cost 1 inf + 0 262.851 * * [simplify]: Extracting #1: cost 25 inf + 0 262.852 * * [simplify]: Extracting #2: cost 54 inf + 1 262.852 * * [simplify]: Extracting #3: cost 60 inf + 1 262.855 * * [simplify]: Extracting #4: cost 55 inf + 591 262.856 * * [simplify]: Extracting #5: cost 43 inf + 4117 262.859 * * [simplify]: Extracting #6: cost 32 inf + 6054 262.862 * * [simplify]: Extracting #7: cost 20 inf + 9767 262.871 * * [simplify]: Extracting #8: cost 1 inf + 18174 262.882 * * [simplify]: Extracting #9: cost 0 inf + 18537 262.892 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 262.892 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 262.892 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 262.893 * * [simplify]: iters left: 6 (17 enodes) 262.901 * * [simplify]: iters left: 5 (58 enodes) 262.919 * * [simplify]: iters left: 4 (81 enodes) 262.934 * * [simplify]: iters left: 3 (140 enodes) 262.960 * * [simplify]: iters left: 2 (234 enodes) 263.040 * * [simplify]: iters left: 1 (327 enodes) 263.140 * * [simplify]: Extracting #0: cost 1 inf + 0 263.140 * * [simplify]: Extracting #1: cost 38 inf + 0 263.143 * * [simplify]: Extracting #2: cost 74 inf + 0 263.144 * * [simplify]: Extracting #3: cost 81 inf + 0 263.145 * * [simplify]: Extracting #4: cost 78 inf + 387 263.146 * * [simplify]: Extracting #5: cost 61 inf + 3411 263.150 * * [simplify]: Extracting #6: cost 32 inf + 15042 263.160 * * [simplify]: Extracting #7: cost 1 inf + 27940 263.167 * * [simplify]: Extracting #8: cost 0 inf + 28383 263.174 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 263.174 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 263.174 * * * * [progress]: [ 511 / 2703 ] simplifiying candidate # 263.175 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 263.175 * * [simplify]: iters left: 6 (22 enodes) 263.181 * * [simplify]: iters left: 5 (77 enodes) 263.205 * * [simplify]: iters left: 4 (125 enodes) 263.251 * * [simplify]: iters left: 3 (292 enodes) 263.398 * * [simplify]: Extracting #0: cost 1 inf + 0 263.398 * * [simplify]: Extracting #1: cost 103 inf + 0 263.400 * * [simplify]: Extracting #2: cost 248 inf + 0 263.402 * * [simplify]: Extracting #3: cost 255 inf + 0 263.404 * * [simplify]: Extracting #4: cost 243 inf + 2058 263.408 * * [simplify]: Extracting #5: cost 217 inf + 13092 263.412 * * [simplify]: Extracting #6: cost 208 inf + 14564 263.418 * * [simplify]: Extracting #7: cost 189 inf + 22620 263.447 * * [simplify]: Extracting #8: cost 72 inf + 94835 263.500 * * [simplify]: Extracting #9: cost 10 inf + 136003 263.553 * * [simplify]: Extracting #10: cost 0 inf + 142379 263.597 * [simplify]: Simplified to (/ (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2)))) 263.597 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 263.597 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 263.598 * * [simplify]: iters left: 6 (20 enodes) 263.602 * * [simplify]: iters left: 5 (67 enodes) 263.612 * * [simplify]: iters left: 4 (91 enodes) 263.629 * * [simplify]: iters left: 3 (156 enodes) 263.671 * * [simplify]: iters left: 2 (284 enodes) 263.746 * * [simplify]: iters left: 1 (469 enodes) 263.931 * * [simplify]: Extracting #0: cost 1 inf + 0 263.932 * * [simplify]: Extracting #1: cost 53 inf + 0 263.932 * * [simplify]: Extracting #2: cost 105 inf + 0 263.933 * * [simplify]: Extracting #3: cost 114 inf + 0 263.934 * * [simplify]: Extracting #4: cost 108 inf + 1091 263.935 * * [simplify]: Extracting #5: cost 101 inf + 3607 263.938 * * [simplify]: Extracting #6: cost 89 inf + 6705 263.948 * * [simplify]: Extracting #7: cost 48 inf + 26254 263.968 * * [simplify]: Extracting #8: cost 4 inf + 48915 263.990 * * [simplify]: Extracting #9: cost 0 inf + 51188 264.011 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 264.011 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 264.011 * * * * [progress]: [ 512 / 2703 ] simplifiying candidate # 264.012 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 264.012 * * [simplify]: iters left: 6 (23 enodes) 264.018 * * [simplify]: iters left: 5 (79 enodes) 264.030 * * [simplify]: iters left: 4 (119 enodes) 264.058 * * [simplify]: iters left: 3 (241 enodes) 264.169 * * [simplify]: Extracting #0: cost 1 inf + 0 264.169 * * [simplify]: Extracting #1: cost 76 inf + 0 264.170 * * [simplify]: Extracting #2: cost 169 inf + 0 264.170 * * [simplify]: Extracting #3: cost 178 inf + 0 264.171 * * [simplify]: Extracting #4: cost 169 inf + 1253 264.172 * * [simplify]: Extracting #5: cost 163 inf + 3830 264.175 * * [simplify]: Extracting #6: cost 133 inf + 13077 264.186 * * [simplify]: Extracting #7: cost 33 inf + 70466 264.202 * * [simplify]: Extracting #8: cost 0 inf + 91780 264.228 * [simplify]: Simplified to (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (cos th))) 264.228 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 264.229 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 264.229 * * [simplify]: iters left: 6 (21 enodes) 264.239 * * [simplify]: iters left: 5 (70 enodes) 264.256 * * [simplify]: iters left: 4 (94 enodes) 264.271 * * [simplify]: iters left: 3 (159 enodes) 264.313 * * [simplify]: iters left: 2 (287 enodes) 264.410 * * [simplify]: iters left: 1 (471 enodes) 264.590 * * [simplify]: Extracting #0: cost 1 inf + 0 264.590 * * [simplify]: Extracting #1: cost 53 inf + 0 264.591 * * [simplify]: Extracting #2: cost 106 inf + 0 264.592 * * [simplify]: Extracting #3: cost 116 inf + 0 264.593 * * [simplify]: Extracting #4: cost 113 inf + 366 264.594 * * [simplify]: Extracting #5: cost 107 inf + 1999 264.596 * * [simplify]: Extracting #6: cost 92 inf + 5942 264.600 * * [simplify]: Extracting #7: cost 54 inf + 22994 264.612 * * [simplify]: Extracting #8: cost 6 inf + 49171 264.624 * * [simplify]: Extracting #9: cost 0 inf + 52552 264.645 * [simplify]: Simplified to (/ (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 264.645 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 264.646 * * * * [progress]: [ 513 / 2703 ] simplifiying candidate # 264.646 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 264.646 * * [simplify]: iters left: 6 (20 enodes) 264.656 * * [simplify]: iters left: 5 (69 enodes) 264.670 * * [simplify]: iters left: 4 (108 enodes) 264.690 * * [simplify]: iters left: 3 (207 enodes) 264.776 * * [simplify]: iters left: 2 (436 enodes) 265.001 * * [simplify]: Extracting #0: cost 1 inf + 0 265.001 * * [simplify]: Extracting #1: cost 83 inf + 0 265.002 * * [simplify]: Extracting #2: cost 145 inf + 0 265.002 * * [simplify]: Extracting #3: cost 156 inf + 0 265.003 * * [simplify]: Extracting #4: cost 149 inf + 1433 265.006 * * [simplify]: Extracting #5: cost 138 inf + 3148 265.008 * * [simplify]: Extracting #6: cost 125 inf + 6769 265.014 * * [simplify]: Extracting #7: cost 57 inf + 37716 265.030 * * [simplify]: Extracting #8: cost 3 inf + 68737 265.061 * * [simplify]: Extracting #9: cost 0 inf + 70428 265.094 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 265.094 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 265.095 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 265.095 * * [simplify]: iters left: 6 (19 enodes) 265.104 * * [simplify]: iters left: 5 (64 enodes) 265.124 * * [simplify]: iters left: 4 (87 enodes) 265.154 * * [simplify]: iters left: 3 (132 enodes) 265.198 * * [simplify]: iters left: 2 (202 enodes) 265.279 * * [simplify]: iters left: 1 (301 enodes) 265.365 * * [simplify]: Extracting #0: cost 1 inf + 0 265.365 * * [simplify]: Extracting #1: cost 39 inf + 0 265.365 * * [simplify]: Extracting #2: cost 76 inf + 0 265.365 * * [simplify]: Extracting #3: cost 84 inf + 0 265.366 * * [simplify]: Extracting #4: cost 79 inf + 569 265.367 * * [simplify]: Extracting #5: cost 60 inf + 4716 265.368 * * [simplify]: Extracting #6: cost 55 inf + 6064 265.370 * * [simplify]: Extracting #7: cost 28 inf + 17407 265.376 * * [simplify]: Extracting #8: cost 1 inf + 30057 265.382 * * [simplify]: Extracting #9: cost 0 inf + 30641 265.389 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) 265.389 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))))) 265.389 * * * * [progress]: [ 514 / 2703 ] simplifiying candidate # 265.389 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 265.389 * * [simplify]: iters left: 6 (22 enodes) 265.396 * * [simplify]: iters left: 5 (77 enodes) 265.409 * * [simplify]: iters left: 4 (107 enodes) 265.443 * * [simplify]: iters left: 3 (185 enodes) 265.497 * * [simplify]: iters left: 2 (329 enodes) 265.728 * * [simplify]: Extracting #0: cost 1 inf + 0 265.729 * * [simplify]: Extracting #1: cost 62 inf + 0 265.730 * * [simplify]: Extracting #2: cost 108 inf + 1 265.730 * * [simplify]: Extracting #3: cost 116 inf + 1 265.732 * * [simplify]: Extracting #4: cost 109 inf + 911 265.733 * * [simplify]: Extracting #5: cost 94 inf + 6166 265.738 * * [simplify]: Extracting #6: cost 67 inf + 14175 265.750 * * [simplify]: Extracting #7: cost 32 inf + 30386 265.769 * * [simplify]: Extracting #8: cost 3 inf + 46738 265.788 * * [simplify]: Extracting #9: cost 0 inf + 48690 265.798 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 265.799 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 265.799 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 265.799 * * [simplify]: iters left: 6 (19 enodes) 265.804 * * [simplify]: iters left: 5 (64 enodes) 265.813 * * [simplify]: iters left: 4 (88 enodes) 265.842 * * [simplify]: iters left: 3 (153 enodes) 265.901 * * [simplify]: iters left: 2 (280 enodes) 266.013 * * [simplify]: iters left: 1 (465 enodes) 266.176 * * [simplify]: Extracting #0: cost 1 inf + 0 266.176 * * [simplify]: Extracting #1: cost 53 inf + 0 266.177 * * [simplify]: Extracting #2: cost 105 inf + 0 266.177 * * [simplify]: Extracting #3: cost 115 inf + 0 266.178 * * [simplify]: Extracting #4: cost 111 inf + 729 266.180 * * [simplify]: Extracting #5: cost 95 inf + 3771 266.190 * * [simplify]: Extracting #6: cost 30 inf + 30481 266.210 * * [simplify]: Extracting #7: cost 0 inf + 46624 266.225 * [simplify]: Simplified to (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 266.225 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) 266.226 * * * * [progress]: [ 515 / 2703 ] simplifiying candidate # 266.226 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 266.226 * * [simplify]: iters left: 6 (20 enodes) 266.231 * * [simplify]: iters left: 5 (69 enodes) 266.244 * * [simplify]: iters left: 4 (108 enodes) 266.275 * * [simplify]: iters left: 3 (207 enodes) 266.324 * * [simplify]: iters left: 2 (436 enodes) 266.530 * * [simplify]: Extracting #0: cost 1 inf + 0 266.531 * * [simplify]: Extracting #1: cost 83 inf + 0 266.532 * * [simplify]: Extracting #2: cost 145 inf + 0 266.534 * * [simplify]: Extracting #3: cost 156 inf + 0 266.535 * * [simplify]: Extracting #4: cost 149 inf + 1433 266.537 * * [simplify]: Extracting #5: cost 138 inf + 3148 266.540 * * [simplify]: Extracting #6: cost 125 inf + 6769 266.553 * * [simplify]: Extracting #7: cost 57 inf + 37716 266.570 * * [simplify]: Extracting #8: cost 3 inf + 68737 266.590 * * [simplify]: Extracting #9: cost 0 inf + 70428 266.618 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 266.618 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 266.618 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 266.618 * * [simplify]: iters left: 6 (19 enodes) 266.623 * * [simplify]: iters left: 5 (64 enodes) 266.633 * * [simplify]: iters left: 4 (87 enodes) 266.656 * * [simplify]: iters left: 3 (132 enodes) 266.683 * * [simplify]: iters left: 2 (202 enodes) 266.735 * * [simplify]: iters left: 1 (301 enodes) 266.818 * * [simplify]: Extracting #0: cost 1 inf + 0 266.818 * * [simplify]: Extracting #1: cost 39 inf + 0 266.818 * * [simplify]: Extracting #2: cost 76 inf + 0 266.819 * * [simplify]: Extracting #3: cost 84 inf + 0 266.819 * * [simplify]: Extracting #4: cost 79 inf + 569 266.820 * * [simplify]: Extracting #5: cost 60 inf + 4716 266.821 * * [simplify]: Extracting #6: cost 55 inf + 6064 266.823 * * [simplify]: Extracting #7: cost 28 inf + 17407 266.829 * * [simplify]: Extracting #8: cost 1 inf + 30057 266.836 * * [simplify]: Extracting #9: cost 0 inf + 30641 266.842 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) 266.842 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))))) 266.842 * * * * [progress]: [ 516 / 2703 ] simplifiying candidate # 266.843 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 266.843 * * [simplify]: iters left: 6 (21 enodes) 266.848 * * [simplify]: iters left: 5 (72 enodes) 266.873 * * [simplify]: iters left: 4 (104 enodes) 266.894 * * [simplify]: iters left: 3 (188 enodes) 266.940 * * [simplify]: iters left: 2 (343 enodes) 267.115 * * [simplify]: Extracting #0: cost 1 inf + 0 267.116 * * [simplify]: Extracting #1: cost 62 inf + 0 267.116 * * [simplify]: Extracting #2: cost 103 inf + 1 267.117 * * [simplify]: Extracting #3: cost 111 inf + 1 267.117 * * [simplify]: Extracting #4: cost 104 inf + 911 267.118 * * [simplify]: Extracting #5: cost 89 inf + 6165 267.120 * * [simplify]: Extracting #6: cost 66 inf + 13667 267.129 * * [simplify]: Extracting #7: cost 25 inf + 32117 267.146 * * [simplify]: Extracting #8: cost 1 inf + 46069 267.156 * * [simplify]: Extracting #9: cost 0 inf + 46813 267.166 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 267.166 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 267.167 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 267.167 * * [simplify]: iters left: 6 (19 enodes) 267.171 * * [simplify]: iters left: 5 (64 enodes) 267.185 * * [simplify]: iters left: 4 (88 enodes) 267.211 * * [simplify]: iters left: 3 (153 enodes) 267.247 * * [simplify]: iters left: 2 (280 enodes) 267.351 * * [simplify]: iters left: 1 (465 enodes) 267.544 * * [simplify]: Extracting #0: cost 1 inf + 0 267.544 * * [simplify]: Extracting #1: cost 53 inf + 0 267.545 * * [simplify]: Extracting #2: cost 105 inf + 0 267.546 * * [simplify]: Extracting #3: cost 115 inf + 0 267.546 * * [simplify]: Extracting #4: cost 111 inf + 729 267.547 * * [simplify]: Extracting #5: cost 95 inf + 3771 267.552 * * [simplify]: Extracting #6: cost 30 inf + 30481 267.563 * * [simplify]: Extracting #7: cost 0 inf + 46624 267.573 * [simplify]: Simplified to (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 267.573 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) 267.574 * * * * [progress]: [ 517 / 2703 ] simplifiying candidate # 267.574 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 267.574 * * [simplify]: iters left: 6 (22 enodes) 267.584 * * [simplify]: iters left: 5 (79 enodes) 267.597 * * [simplify]: iters left: 4 (127 enodes) 267.635 * * [simplify]: iters left: 3 (308 enodes) 267.816 * * [simplify]: Extracting #0: cost 1 inf + 0 267.816 * * [simplify]: Extracting #1: cost 97 inf + 0 267.818 * * [simplify]: Extracting #2: cost 221 inf + 1 267.820 * * [simplify]: Extracting #3: cost 227 inf + 1 267.822 * * [simplify]: Extracting #4: cost 216 inf + 1779 267.825 * * [simplify]: Extracting #5: cost 206 inf + 6010 267.828 * * [simplify]: Extracting #6: cost 197 inf + 6983 267.834 * * [simplify]: Extracting #7: cost 174 inf + 15888 267.863 * * [simplify]: Extracting #8: cost 60 inf + 74835 267.898 * * [simplify]: Extracting #9: cost 3 inf + 106144 267.924 * * [simplify]: Extracting #10: cost 0 inf + 107653 267.959 * [simplify]: Simplified to (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 267.960 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 267.960 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 267.960 * * [simplify]: iters left: 6 (18 enodes) 267.969 * * [simplify]: iters left: 5 (61 enodes) 267.987 * * [simplify]: iters left: 4 (84 enodes) 268.014 * * [simplify]: iters left: 3 (143 enodes) 268.068 * * [simplify]: iters left: 2 (237 enodes) 268.162 * * [simplify]: iters left: 1 (330 enodes) 268.281 * * [simplify]: Extracting #0: cost 1 inf + 0 268.281 * * [simplify]: Extracting #1: cost 38 inf + 0 268.281 * * [simplify]: Extracting #2: cost 74 inf + 0 268.282 * * [simplify]: Extracting #3: cost 80 inf + 0 268.283 * * [simplify]: Extracting #4: cost 75 inf + 588 268.284 * * [simplify]: Extracting #5: cost 68 inf + 3326 268.285 * * [simplify]: Extracting #6: cost 63 inf + 3712 268.289 * * [simplify]: Extracting #7: cost 35 inf + 14432 268.302 * * [simplify]: Extracting #8: cost 3 inf + 29896 268.316 * * [simplify]: Extracting #9: cost 0 inf + 31667 268.330 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 268.331 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 268.331 * * * * [progress]: [ 518 / 2703 ] simplifiying candidate # 268.331 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 268.332 * * [simplify]: iters left: 6 (23 enodes) 268.344 * * [simplify]: iters left: 5 (81 enodes) 268.361 * * [simplify]: iters left: 4 (118 enodes) 268.387 * * [simplify]: iters left: 3 (221 enodes) 268.469 * * [simplify]: iters left: 2 (450 enodes) 268.805 * * [simplify]: Extracting #0: cost 1 inf + 0 268.805 * * [simplify]: Extracting #1: cost 62 inf + 0 268.806 * * [simplify]: Extracting #2: cost 125 inf + 1 268.808 * * [simplify]: Extracting #3: cost 135 inf + 1 268.809 * * [simplify]: Extracting #4: cost 125 inf + 1457 268.811 * * [simplify]: Extracting #5: cost 116 inf + 5042 268.814 * * [simplify]: Extracting #6: cost 113 inf + 5427 268.819 * * [simplify]: Extracting #7: cost 80 inf + 16900 268.840 * * [simplify]: Extracting #8: cost 20 inf + 47332 268.870 * * [simplify]: Extracting #9: cost 1 inf + 58107 268.902 * * [simplify]: Extracting #10: cost 0 inf + 58651 268.933 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 268.933 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 268.934 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 268.934 * * [simplify]: iters left: 6 (19 enodes) 268.944 * * [simplify]: iters left: 5 (64 enodes) 268.966 * * [simplify]: iters left: 4 (87 enodes) 268.980 * * [simplify]: iters left: 3 (146 enodes) 269.006 * * [simplify]: iters left: 2 (240 enodes) 269.095 * * [simplify]: iters left: 1 (333 enodes) 269.185 * * [simplify]: Extracting #0: cost 1 inf + 0 269.185 * * [simplify]: Extracting #1: cost 38 inf + 0 269.186 * * [simplify]: Extracting #2: cost 75 inf + 0 269.186 * * [simplify]: Extracting #3: cost 82 inf + 0 269.186 * * [simplify]: Extracting #4: cost 78 inf + 327 269.187 * * [simplify]: Extracting #5: cost 71 inf + 2984 269.188 * * [simplify]: Extracting #6: cost 64 inf + 3753 269.189 * * [simplify]: Extracting #7: cost 45 inf + 9902 269.195 * * [simplify]: Extracting #8: cost 4 inf + 30637 269.202 * * [simplify]: Extracting #9: cost 0 inf + 32791 269.211 * [simplify]: Simplified to (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 269.211 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 269.211 * * * * [progress]: [ 519 / 2703 ] simplifiying candidate # 269.212 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 269.212 * * [simplify]: iters left: 6 (20 enodes) 269.220 * * [simplify]: iters left: 5 (71 enodes) 269.243 * * [simplify]: iters left: 4 (106 enodes) 269.275 * * [simplify]: iters left: 3 (188 enodes) 269.348 * * [simplify]: iters left: 2 (382 enodes) 269.646 * * [simplify]: Extracting #0: cost 1 inf + 0 269.646 * * [simplify]: Extracting #1: cost 41 inf + 0 269.647 * * [simplify]: Extracting #2: cost 79 inf + 1 269.647 * * [simplify]: Extracting #3: cost 86 inf + 1 269.648 * * [simplify]: Extracting #4: cost 84 inf + 267 269.648 * * [simplify]: Extracting #5: cost 64 inf + 4218 269.650 * * [simplify]: Extracting #6: cost 49 inf + 7593 269.653 * * [simplify]: Extracting #7: cost 26 inf + 17555 269.660 * * [simplify]: Extracting #8: cost 4 inf + 26371 269.669 * * [simplify]: Extracting #9: cost 0 inf + 28226 269.684 * [simplify]: Simplified to (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) 269.684 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 269.685 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 269.685 * * [simplify]: iters left: 6 (16 enodes) 269.689 * * [simplify]: iters left: 5 (55 enodes) 269.700 * * [simplify]: iters left: 4 (75 enodes) 269.711 * * [simplify]: iters left: 3 (109 enodes) 269.737 * * [simplify]: iters left: 2 (156 enodes) 269.763 * * [simplify]: iters left: 1 (203 enodes) 269.816 * * [simplify]: Extracting #0: cost 1 inf + 0 269.816 * * [simplify]: Extracting #1: cost 28 inf + 0 269.816 * * [simplify]: Extracting #2: cost 55 inf + 0 269.816 * * [simplify]: Extracting #3: cost 62 inf + 0 269.817 * * [simplify]: Extracting #4: cost 60 inf + 266 269.817 * * [simplify]: Extracting #5: cost 48 inf + 1740 269.819 * * [simplify]: Extracting #6: cost 13 inf + 13677 269.824 * * [simplify]: Extracting #7: cost 0 inf + 19440 269.832 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 269.832 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 269.833 * * * * [progress]: [ 520 / 2703 ] simplifiying candidate # 269.833 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt 1))) 269.833 * * [simplify]: iters left: 6 (21 enodes) 269.846 * * [simplify]: iters left: 5 (74 enodes) 269.862 * * [simplify]: iters left: 4 (100 enodes) 269.879 * * [simplify]: iters left: 3 (153 enodes) 269.936 * * [simplify]: iters left: 2 (275 enodes) 270.115 * * [simplify]: iters left: 1 (433 enodes) 270.424 * * [simplify]: Extracting #0: cost 1 inf + 0 270.424 * * [simplify]: Extracting #1: cost 25 inf + 0 270.425 * * [simplify]: Extracting #2: cost 48 inf + 1 270.425 * * [simplify]: Extracting #3: cost 54 inf + 1 270.426 * * [simplify]: Extracting #4: cost 50 inf + 429 270.428 * * [simplify]: Extracting #5: cost 41 inf + 3069 270.430 * * [simplify]: Extracting #6: cost 32 inf + 4844 270.433 * * [simplify]: Extracting #7: cost 19 inf + 7633 270.442 * * [simplify]: Extracting #8: cost 3 inf + 14911 270.452 * * [simplify]: Extracting #9: cost 0 inf + 16241 270.465 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 270.465 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 270.466 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 270.466 * * [simplify]: iters left: 6 (17 enodes) 270.475 * * [simplify]: iters left: 5 (58 enodes) 270.492 * * [simplify]: iters left: 4 (81 enodes) 270.519 * * [simplify]: iters left: 3 (140 enodes) 270.569 * * [simplify]: iters left: 2 (234 enodes) 270.635 * * [simplify]: iters left: 1 (327 enodes) 270.723 * * [simplify]: Extracting #0: cost 1 inf + 0 270.723 * * [simplify]: Extracting #1: cost 38 inf + 0 270.724 * * [simplify]: Extracting #2: cost 74 inf + 0 270.724 * * [simplify]: Extracting #3: cost 81 inf + 0 270.725 * * [simplify]: Extracting #4: cost 78 inf + 387 270.726 * * [simplify]: Extracting #5: cost 61 inf + 3411 270.732 * * [simplify]: Extracting #6: cost 32 inf + 15042 270.744 * * [simplify]: Extracting #7: cost 1 inf + 27940 270.758 * * [simplify]: Extracting #8: cost 0 inf + 28383 270.772 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 270.772 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 270.772 * * * * [progress]: [ 521 / 2703 ] simplifiying candidate # 270.773 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 270.773 * * [simplify]: iters left: 6 (20 enodes) 270.783 * * [simplify]: iters left: 5 (71 enodes) 270.806 * * [simplify]: iters left: 4 (106 enodes) 270.833 * * [simplify]: iters left: 3 (188 enodes) 270.896 * * [simplify]: iters left: 2 (382 enodes) 271.093 * * [simplify]: Extracting #0: cost 1 inf + 0 271.093 * * [simplify]: Extracting #1: cost 41 inf + 0 271.093 * * [simplify]: Extracting #2: cost 79 inf + 1 271.094 * * [simplify]: Extracting #3: cost 86 inf + 1 271.095 * * [simplify]: Extracting #4: cost 84 inf + 267 271.097 * * [simplify]: Extracting #5: cost 64 inf + 4218 271.099 * * [simplify]: Extracting #6: cost 49 inf + 7593 271.106 * * [simplify]: Extracting #7: cost 26 inf + 17555 271.121 * * [simplify]: Extracting #8: cost 4 inf + 26371 271.137 * * [simplify]: Extracting #9: cost 0 inf + 28226 271.154 * [simplify]: Simplified to (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) 271.154 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 271.154 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 271.155 * * [simplify]: iters left: 6 (16 enodes) 271.162 * * [simplify]: iters left: 5 (55 enodes) 271.184 * * [simplify]: iters left: 4 (75 enodes) 271.208 * * [simplify]: iters left: 3 (109 enodes) 271.244 * * [simplify]: iters left: 2 (156 enodes) 271.273 * * [simplify]: iters left: 1 (203 enodes) 271.319 * * [simplify]: Extracting #0: cost 1 inf + 0 271.320 * * [simplify]: Extracting #1: cost 28 inf + 0 271.320 * * [simplify]: Extracting #2: cost 55 inf + 0 271.320 * * [simplify]: Extracting #3: cost 62 inf + 0 271.320 * * [simplify]: Extracting #4: cost 60 inf + 266 271.321 * * [simplify]: Extracting #5: cost 48 inf + 1740 271.323 * * [simplify]: Extracting #6: cost 13 inf + 13677 271.327 * * [simplify]: Extracting #7: cost 0 inf + 19440 271.336 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 271.336 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 271.336 * * * * [progress]: [ 522 / 2703 ] simplifiying candidate # 271.337 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) 1)) 271.337 * * [simplify]: iters left: 6 (20 enodes) 271.349 * * [simplify]: iters left: 5 (69 enodes) 271.365 * * [simplify]: iters left: 4 (90 enodes) 271.381 * * [simplify]: iters left: 3 (143 enodes) 271.420 * * [simplify]: iters left: 2 (231 enodes) 271.565 * * [simplify]: iters left: 1 (383 enodes) 271.842 * * [simplify]: Extracting #0: cost 1 inf + 0 271.843 * * [simplify]: Extracting #1: cost 25 inf + 0 271.843 * * [simplify]: Extracting #2: cost 48 inf + 1 271.844 * * [simplify]: Extracting #3: cost 54 inf + 1 271.844 * * [simplify]: Extracting #4: cost 51 inf + 267 271.845 * * [simplify]: Extracting #5: cost 37 inf + 4277 271.848 * * [simplify]: Extracting #6: cost 32 inf + 4844 271.852 * * [simplify]: Extracting #7: cost 17 inf + 8942 271.862 * * [simplify]: Extracting #8: cost 1 inf + 15858 271.869 * * [simplify]: Extracting #9: cost 0 inf + 16241 271.875 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 271.875 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 271.875 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 271.875 * * [simplify]: iters left: 6 (17 enodes) 271.879 * * [simplify]: iters left: 5 (58 enodes) 271.889 * * [simplify]: iters left: 4 (81 enodes) 271.906 * * [simplify]: iters left: 3 (140 enodes) 271.955 * * [simplify]: iters left: 2 (234 enodes) 272.021 * * [simplify]: iters left: 1 (327 enodes) 272.101 * * [simplify]: Extracting #0: cost 1 inf + 0 272.101 * * [simplify]: Extracting #1: cost 38 inf + 0 272.102 * * [simplify]: Extracting #2: cost 74 inf + 0 272.102 * * [simplify]: Extracting #3: cost 81 inf + 0 272.102 * * [simplify]: Extracting #4: cost 78 inf + 387 272.103 * * [simplify]: Extracting #5: cost 61 inf + 3411 272.105 * * [simplify]: Extracting #6: cost 32 inf + 15042 272.111 * * [simplify]: Extracting #7: cost 1 inf + 27940 272.118 * * [simplify]: Extracting #8: cost 0 inf + 28383 272.127 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 272.127 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 272.128 * * * * [progress]: [ 523 / 2703 ] simplifiying candidate # 272.128 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 272.128 * * [simplify]: iters left: 6 (22 enodes) 272.140 * * [simplify]: iters left: 5 (81 enodes) 272.167 * * [simplify]: iters left: 4 (157 enodes) 272.218 * * [simplify]: iters left: 3 (474 enodes) 272.566 * * [simplify]: Extracting #0: cost 1 inf + 0 272.566 * * [simplify]: Extracting #1: cost 188 inf + 0 272.568 * * [simplify]: Extracting #2: cost 470 inf + 0 272.570 * * [simplify]: Extracting #3: cost 479 inf + 0 272.573 * * [simplify]: Extracting #4: cost 442 inf + 12023 272.578 * * [simplify]: Extracting #5: cost 419 inf + 22934 272.586 * * [simplify]: Extracting #6: cost 409 inf + 24268 272.601 * * [simplify]: Extracting #7: cost 364 inf + 52027 272.633 * * [simplify]: Extracting #8: cost 166 inf + 182088 272.734 * * [simplify]: Extracting #9: cost 9 inf + 289200 272.825 * * [simplify]: Extracting #10: cost 0 inf + 295672 272.906 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 272.906 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 272.906 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 272.906 * * [simplify]: iters left: 6 (19 enodes) 272.911 * * [simplify]: iters left: 5 (64 enodes) 272.921 * * [simplify]: iters left: 4 (88 enodes) 272.940 * * [simplify]: iters left: 3 (153 enodes) 272.992 * * [simplify]: iters left: 2 (280 enodes) 273.073 * * [simplify]: iters left: 1 (464 enodes) 273.272 * * [simplify]: Extracting #0: cost 1 inf + 0 273.272 * * [simplify]: Extracting #1: cost 53 inf + 0 273.272 * * [simplify]: Extracting #2: cost 104 inf + 0 273.273 * * [simplify]: Extracting #3: cost 112 inf + 0 273.273 * * [simplify]: Extracting #4: cost 108 inf + 427 273.274 * * [simplify]: Extracting #5: cost 98 inf + 4168 273.275 * * [simplify]: Extracting #6: cost 88 inf + 6544 273.279 * * [simplify]: Extracting #7: cost 46 inf + 25754 273.289 * * [simplify]: Extracting #8: cost 0 inf + 50826 273.300 * [simplify]: Simplified to (/ (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 273.301 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 273.301 * * * * [progress]: [ 524 / 2703 ] simplifiying candidate # 273.301 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 273.301 * * [simplify]: iters left: 6 (23 enodes) 273.307 * * [simplify]: iters left: 5 (81 enodes) 273.329 * * [simplify]: iters left: 4 (133 enodes) 273.383 * * [simplify]: iters left: 3 (339 enodes) 273.575 * * [simplify]: Extracting #0: cost 1 inf + 0 273.575 * * [simplify]: Extracting #1: cost 126 inf + 0 273.577 * * [simplify]: Extracting #2: cost 294 inf + 0 273.579 * * [simplify]: Extracting #3: cost 302 inf + 0 273.582 * * [simplify]: Extracting #4: cost 288 inf + 2862 273.587 * * [simplify]: Extracting #5: cost 262 inf + 14418 273.594 * * [simplify]: Extracting #6: cost 234 inf + 24024 273.604 * * [simplify]: Extracting #7: cost 205 inf + 37954 273.637 * * [simplify]: Extracting #8: cost 52 inf + 137808 273.681 * * [simplify]: Extracting #9: cost 0 inf + 174282 273.718 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 273.718 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 273.718 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 273.719 * * [simplify]: iters left: 6 (20 enodes) 273.723 * * [simplify]: iters left: 5 (67 enodes) 273.734 * * [simplify]: iters left: 4 (91 enodes) 273.763 * * [simplify]: iters left: 3 (156 enodes) 273.793 * * [simplify]: iters left: 2 (284 enodes) 273.874 * * [simplify]: iters left: 1 (471 enodes) 274.044 * * [simplify]: Extracting #0: cost 1 inf + 0 274.045 * * [simplify]: Extracting #1: cost 53 inf + 0 274.045 * * [simplify]: Extracting #2: cost 105 inf + 0 274.047 * * [simplify]: Extracting #3: cost 114 inf + 0 274.047 * * [simplify]: Extracting #4: cost 109 inf + 789 274.048 * * [simplify]: Extracting #5: cost 102 inf + 3566 274.049 * * [simplify]: Extracting #6: cost 90 inf + 6544 274.051 * * [simplify]: Extracting #7: cost 65 inf + 16398 274.057 * * [simplify]: Extracting #8: cost 37 inf + 31690 274.074 * * [simplify]: Extracting #9: cost 2 inf + 50763 274.097 * * [simplify]: Extracting #10: cost 0 inf + 52190 274.109 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 274.109 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 274.110 * * * * [progress]: [ 525 / 2703 ] simplifiying candidate # 274.110 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 274.110 * * [simplify]: iters left: 6 (20 enodes) 274.115 * * [simplify]: iters left: 5 (71 enodes) 274.131 * * [simplify]: iters left: 4 (121 enodes) 274.165 * * [simplify]: iters left: 3 (300 enodes) 274.336 * * [simplify]: Extracting #0: cost 1 inf + 0 274.336 * * [simplify]: Extracting #1: cost 104 inf + 0 274.338 * * [simplify]: Extracting #2: cost 228 inf + 0 274.340 * * [simplify]: Extracting #3: cost 235 inf + 0 274.342 * * [simplify]: Extracting #4: cost 225 inf + 2337 274.351 * * [simplify]: Extracting #5: cost 145 inf + 35154 274.372 * * [simplify]: Extracting #6: cost 24 inf + 103646 274.405 * * [simplify]: Extracting #7: cost 0 inf + 119460 274.435 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 274.435 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 274.436 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 274.436 * * [simplify]: iters left: 6 (18 enodes) 274.442 * * [simplify]: iters left: 5 (61 enodes) 274.451 * * [simplify]: iters left: 4 (84 enodes) 274.468 * * [simplify]: iters left: 3 (129 enodes) 274.507 * * [simplify]: iters left: 2 (199 enodes) 274.560 * * [simplify]: iters left: 1 (298 enodes) 274.659 * * [simplify]: Extracting #0: cost 1 inf + 0 274.659 * * [simplify]: Extracting #1: cost 39 inf + 0 274.659 * * [simplify]: Extracting #2: cost 75 inf + 0 274.660 * * [simplify]: Extracting #3: cost 82 inf + 0 274.661 * * [simplify]: Extracting #4: cost 79 inf + 467 274.662 * * [simplify]: Extracting #5: cost 61 inf + 4894 274.664 * * [simplify]: Extracting #6: cost 55 inf + 5902 274.668 * * [simplify]: Extracting #7: cost 27 inf + 16887 274.679 * * [simplify]: Extracting #8: cost 1 inf + 29916 274.685 * * [simplify]: Extracting #9: cost 0 inf + 30359 274.692 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 274.692 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 274.692 * * * * [progress]: [ 526 / 2703 ] simplifiying candidate # 274.692 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 274.693 * * [simplify]: iters left: 6 (22 enodes) 274.699 * * [simplify]: iters left: 5 (79 enodes) 274.718 * * [simplify]: iters left: 4 (121 enodes) 274.743 * * [simplify]: iters left: 3 (273 enodes) 274.857 * * [simplify]: Extracting #0: cost 1 inf + 0 274.857 * * [simplify]: Extracting #1: cost 87 inf + 0 274.858 * * [simplify]: Extracting #2: cost 173 inf + 1 274.858 * * [simplify]: Extracting #3: cost 180 inf + 1 274.860 * * [simplify]: Extracting #4: cost 172 inf + 1334 274.862 * * [simplify]: Extracting #5: cost 156 inf + 7449 274.869 * * [simplify]: Extracting #6: cost 105 inf + 25245 274.879 * * [simplify]: Extracting #7: cost 71 inf + 41831 274.905 * * [simplify]: Extracting #8: cost 7 inf + 79586 274.923 * * [simplify]: Extracting #9: cost 0 inf + 83111 274.950 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 274.950 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 274.951 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 274.951 * * [simplify]: iters left: 6 (18 enodes) 274.957 * * [simplify]: iters left: 5 (61 enodes) 274.967 * * [simplify]: iters left: 4 (85 enodes) 274.981 * * [simplify]: iters left: 3 (150 enodes) 275.029 * * [simplify]: iters left: 2 (278 enodes) 275.101 * * [simplify]: iters left: 1 (459 enodes) 275.289 * * [simplify]: Extracting #0: cost 1 inf + 0 275.289 * * [simplify]: Extracting #1: cost 53 inf + 0 275.290 * * [simplify]: Extracting #2: cost 103 inf + 0 275.290 * * [simplify]: Extracting #3: cost 112 inf + 0 275.291 * * [simplify]: Extracting #4: cost 109 inf + 427 275.292 * * [simplify]: Extracting #5: cost 96 inf + 2725 275.301 * * [simplify]: Extracting #6: cost 31 inf + 30838 275.321 * * [simplify]: Extracting #7: cost 0 inf + 45840 275.341 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))) 275.342 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))))) 275.342 * * * * [progress]: [ 527 / 2703 ] simplifiying candidate # 275.342 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 275.343 * * [simplify]: iters left: 6 (20 enodes) 275.351 * * [simplify]: iters left: 5 (71 enodes) 275.363 * * [simplify]: iters left: 4 (121 enodes) 275.391 * * [simplify]: iters left: 3 (300 enodes) 275.528 * * [simplify]: Extracting #0: cost 1 inf + 0 275.528 * * [simplify]: Extracting #1: cost 104 inf + 0 275.529 * * [simplify]: Extracting #2: cost 228 inf + 0 275.530 * * [simplify]: Extracting #3: cost 235 inf + 0 275.534 * * [simplify]: Extracting #4: cost 225 inf + 2337 275.539 * * [simplify]: Extracting #5: cost 145 inf + 35154 275.566 * * [simplify]: Extracting #6: cost 24 inf + 103646 275.596 * * [simplify]: Extracting #7: cost 0 inf + 119460 275.629 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 275.629 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 275.629 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 275.629 * * [simplify]: iters left: 6 (18 enodes) 275.634 * * [simplify]: iters left: 5 (61 enodes) 275.645 * * [simplify]: iters left: 4 (84 enodes) 275.666 * * [simplify]: iters left: 3 (129 enodes) 275.688 * * [simplify]: iters left: 2 (199 enodes) 275.740 * * [simplify]: iters left: 1 (298 enodes) 275.831 * * [simplify]: Extracting #0: cost 1 inf + 0 275.831 * * [simplify]: Extracting #1: cost 39 inf + 0 275.832 * * [simplify]: Extracting #2: cost 75 inf + 0 275.832 * * [simplify]: Extracting #3: cost 82 inf + 0 275.833 * * [simplify]: Extracting #4: cost 79 inf + 467 275.835 * * [simplify]: Extracting #5: cost 61 inf + 4894 275.836 * * [simplify]: Extracting #6: cost 55 inf + 5902 275.841 * * [simplify]: Extracting #7: cost 27 inf + 16887 275.853 * * [simplify]: Extracting #8: cost 1 inf + 29916 275.866 * * [simplify]: Extracting #9: cost 0 inf + 30359 275.878 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 275.879 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 275.879 * * * * [progress]: [ 528 / 2703 ] simplifiying candidate # 275.879 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 275.879 * * [simplify]: iters left: 6 (21 enodes) 275.890 * * [simplify]: iters left: 5 (74 enodes) 275.916 * * [simplify]: iters left: 4 (124 enodes) 275.951 * * [simplify]: iters left: 3 (290 enodes) 276.108 * * [simplify]: Extracting #0: cost 1 inf + 0 276.108 * * [simplify]: Extracting #1: cost 82 inf + 0 276.109 * * [simplify]: Extracting #2: cost 169 inf + 1 276.110 * * [simplify]: Extracting #3: cost 176 inf + 1 276.111 * * [simplify]: Extracting #4: cost 169 inf + 1032 276.112 * * [simplify]: Extracting #5: cost 143 inf + 10424 276.117 * * [simplify]: Extracting #6: cost 83 inf + 34224 276.133 * * [simplify]: Extracting #7: cost 10 inf + 74091 276.150 * * [simplify]: Extracting #8: cost 0 inf + 80014 276.180 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 276.180 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 276.180 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 276.180 * * [simplify]: iters left: 6 (18 enodes) 276.189 * * [simplify]: iters left: 5 (61 enodes) 276.208 * * [simplify]: iters left: 4 (85 enodes) 276.236 * * [simplify]: iters left: 3 (150 enodes) 276.277 * * [simplify]: iters left: 2 (278 enodes) 276.380 * * [simplify]: iters left: 1 (459 enodes) 276.591 * * [simplify]: Extracting #0: cost 1 inf + 0 276.591 * * [simplify]: Extracting #1: cost 53 inf + 0 276.591 * * [simplify]: Extracting #2: cost 103 inf + 0 276.592 * * [simplify]: Extracting #3: cost 112 inf + 0 276.592 * * [simplify]: Extracting #4: cost 109 inf + 427 276.593 * * [simplify]: Extracting #5: cost 96 inf + 2725 276.597 * * [simplify]: Extracting #6: cost 31 inf + 30838 276.607 * * [simplify]: Extracting #7: cost 0 inf + 45840 276.625 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))) 276.625 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))))) 276.625 * * * * [progress]: [ 529 / 2703 ] simplifiying candidate # 276.626 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 276.626 * * [simplify]: iters left: 6 (21 enodes) 276.636 * * [simplify]: iters left: 5 (74 enodes) 276.659 * * [simplify]: iters left: 4 (122 enodes) 276.704 * * [simplify]: iters left: 3 (289 enodes) 276.839 * * [simplify]: Extracting #0: cost 1 inf + 0 276.840 * * [simplify]: Extracting #1: cost 104 inf + 0 276.840 * * [simplify]: Extracting #2: cost 251 inf + 0 276.841 * * [simplify]: Extracting #3: cost 257 inf + 0 276.842 * * [simplify]: Extracting #4: cost 246 inf + 1856 276.844 * * [simplify]: Extracting #5: cost 222 inf + 11388 276.846 * * [simplify]: Extracting #6: cost 212 inf + 13122 276.851 * * [simplify]: Extracting #7: cost 170 inf + 34119 276.876 * * [simplify]: Extracting #8: cost 37 inf + 114374 276.909 * * [simplify]: Extracting #9: cost 0 inf + 138433 276.954 * [simplify]: Simplified to (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 276.954 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 276.954 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 276.955 * * [simplify]: iters left: 6 (19 enodes) 276.959 * * [simplify]: iters left: 5 (64 enodes) 276.969 * * [simplify]: iters left: 4 (88 enodes) 276.996 * * [simplify]: iters left: 3 (153 enodes) 277.024 * * [simplify]: iters left: 2 (280 enodes) 277.113 * * [simplify]: iters left: 1 (464 enodes) 277.311 * * [simplify]: Extracting #0: cost 1 inf + 0 277.311 * * [simplify]: Extracting #1: cost 53 inf + 0 277.312 * * [simplify]: Extracting #2: cost 104 inf + 0 277.312 * * [simplify]: Extracting #3: cost 112 inf + 0 277.312 * * [simplify]: Extracting #4: cost 108 inf + 427 277.313 * * [simplify]: Extracting #5: cost 98 inf + 3848 277.314 * * [simplify]: Extracting #6: cost 88 inf + 6024 277.318 * * [simplify]: Extracting #7: cost 46 inf + 24394 277.338 * * [simplify]: Extracting #8: cost 0 inf + 48386 277.360 * [simplify]: Simplified to (/ (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 277.360 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 277.361 * * * * [progress]: [ 530 / 2703 ] simplifiying candidate # 277.361 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 277.361 * * [simplify]: iters left: 6 (22 enodes) 277.372 * * [simplify]: iters left: 5 (76 enodes) 277.396 * * [simplify]: iters left: 4 (116 enodes) 277.422 * * [simplify]: iters left: 3 (238 enodes) 277.518 * * [simplify]: Extracting #0: cost 1 inf + 0 277.518 * * [simplify]: Extracting #1: cost 75 inf + 0 277.519 * * [simplify]: Extracting #2: cost 167 inf + 0 277.519 * * [simplify]: Extracting #3: cost 175 inf + 0 277.520 * * [simplify]: Extracting #4: cost 169 inf + 749 277.521 * * [simplify]: Extracting #5: cost 151 inf + 7287 277.523 * * [simplify]: Extracting #6: cost 134 inf + 12958 277.524 * * [simplify]: Extracting #7: cost 130 inf + 13122 277.527 * * [simplify]: Extracting #8: cost 117 inf + 18159 277.538 * * [simplify]: Extracting #9: cost 39 inf + 62449 277.567 * * [simplify]: Extracting #10: cost 0 inf + 86394 277.582 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 277.582 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 277.583 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 277.583 * * [simplify]: iters left: 6 (20 enodes) 277.588 * * [simplify]: iters left: 5 (67 enodes) 277.602 * * [simplify]: iters left: 4 (91 enodes) 277.634 * * [simplify]: iters left: 3 (156 enodes) 277.667 * * [simplify]: iters left: 2 (284 enodes) 277.777 * * [simplify]: iters left: 1 (471 enodes) 277.982 * * [simplify]: Extracting #0: cost 1 inf + 0 277.982 * * [simplify]: Extracting #1: cost 53 inf + 0 277.983 * * [simplify]: Extracting #2: cost 105 inf + 0 277.984 * * [simplify]: Extracting #3: cost 114 inf + 0 277.985 * * [simplify]: Extracting #4: cost 109 inf + 789 277.986 * * [simplify]: Extracting #5: cost 102 inf + 3366 277.988 * * [simplify]: Extracting #6: cost 90 inf + 6024 277.993 * * [simplify]: Extracting #7: cost 65 inf + 15478 277.999 * * [simplify]: Extracting #8: cost 37 inf + 30010 278.010 * * [simplify]: Extracting #9: cost 2 inf + 48403 278.022 * * [simplify]: Extracting #10: cost 0 inf + 49750 278.033 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 278.034 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 278.034 * * * * [progress]: [ 531 / 2703 ] simplifiying candidate # 278.034 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 278.034 * * [simplify]: iters left: 6 (19 enodes) 278.039 * * [simplify]: iters left: 5 (66 enodes) 278.050 * * [simplify]: iters left: 4 (105 enodes) 278.080 * * [simplify]: iters left: 3 (204 enodes) 278.170 * * [simplify]: iters left: 2 (435 enodes) 278.362 * * [simplify]: Extracting #0: cost 1 inf + 0 278.362 * * [simplify]: Extracting #1: cost 83 inf + 0 278.364 * * [simplify]: Extracting #2: cost 144 inf + 0 278.365 * * [simplify]: Extracting #3: cost 154 inf + 0 278.366 * * [simplify]: Extracting #4: cost 146 inf + 1514 278.368 * * [simplify]: Extracting #5: cost 128 inf + 5983 278.372 * * [simplify]: Extracting #6: cost 110 inf + 11475 278.385 * * [simplify]: Extracting #7: cost 59 inf + 35929 278.412 * * [simplify]: Extracting #8: cost 6 inf + 63543 278.428 * * [simplify]: Extracting #9: cost 0 inf + 67146 278.444 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th)))) 278.444 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 278.444 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 278.444 * * [simplify]: iters left: 6 (18 enodes) 278.451 * * [simplify]: iters left: 5 (61 enodes) 278.461 * * [simplify]: iters left: 4 (84 enodes) 278.488 * * [simplify]: iters left: 3 (129 enodes) 278.554 * * [simplify]: iters left: 2 (199 enodes) 278.634 * * [simplify]: iters left: 1 (298 enodes) 278.734 * * [simplify]: Extracting #0: cost 1 inf + 0 278.734 * * [simplify]: Extracting #1: cost 39 inf + 0 278.735 * * [simplify]: Extracting #2: cost 75 inf + 0 278.735 * * [simplify]: Extracting #3: cost 82 inf + 0 278.735 * * [simplify]: Extracting #4: cost 79 inf + 427 278.736 * * [simplify]: Extracting #5: cost 61 inf + 4494 278.737 * * [simplify]: Extracting #6: cost 55 inf + 5422 278.739 * * [simplify]: Extracting #7: cost 27 inf + 15967 278.745 * * [simplify]: Extracting #8: cost 1 inf + 28236 278.752 * * [simplify]: Extracting #9: cost 0 inf + 28639 278.758 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 278.759 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 278.759 * * * * [progress]: [ 532 / 2703 ] simplifiying candidate # 278.759 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 278.760 * * [simplify]: iters left: 6 (21 enodes) 278.766 * * [simplify]: iters left: 5 (74 enodes) 278.778 * * [simplify]: iters left: 4 (104 enodes) 278.811 * * [simplify]: iters left: 3 (182 enodes) 278.887 * * [simplify]: iters left: 2 (330 enodes) 279.072 * * [simplify]: Extracting #0: cost 1 inf + 0 279.073 * * [simplify]: Extracting #1: cost 62 inf + 0 279.073 * * [simplify]: Extracting #2: cost 106 inf + 1 279.073 * * [simplify]: Extracting #3: cost 113 inf + 1 279.074 * * [simplify]: Extracting #4: cost 105 inf + 1073 279.075 * * [simplify]: Extracting #5: cost 86 inf + 7738 279.078 * * [simplify]: Extracting #6: cost 65 inf + 13476 279.091 * * [simplify]: Extracting #7: cost 28 inf + 30539 279.111 * * [simplify]: Extracting #8: cost 0 inf + 46388 279.131 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (cos th))))) 279.131 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (* (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 279.132 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 279.132 * * [simplify]: iters left: 6 (18 enodes) 279.141 * * [simplify]: iters left: 5 (61 enodes) 279.151 * * [simplify]: iters left: 4 (85 enodes) 279.165 * * [simplify]: iters left: 3 (150 enodes) 279.206 * * [simplify]: iters left: 2 (278 enodes) 279.300 * * [simplify]: iters left: 1 (459 enodes) 279.513 * * [simplify]: Extracting #0: cost 1 inf + 0 279.513 * * [simplify]: Extracting #1: cost 53 inf + 0 279.513 * * [simplify]: Extracting #2: cost 103 inf + 0 279.514 * * [simplify]: Extracting #3: cost 112 inf + 0 279.514 * * [simplify]: Extracting #4: cost 109 inf + 427 279.515 * * [simplify]: Extracting #5: cost 96 inf + 2605 279.520 * * [simplify]: Extracting #6: cost 31 inf + 29278 279.530 * * [simplify]: Extracting #7: cost 0 inf + 43440 279.541 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))) 279.541 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))))) 279.541 * * * * [progress]: [ 533 / 2703 ] simplifiying candidate # 279.542 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 279.542 * * [simplify]: iters left: 6 (19 enodes) 279.551 * * [simplify]: iters left: 5 (66 enodes) 279.576 * * [simplify]: iters left: 4 (105 enodes) 279.612 * * [simplify]: iters left: 3 (204 enodes) 279.704 * * [simplify]: iters left: 2 (435 enodes) 279.978 * * [simplify]: Extracting #0: cost 1 inf + 0 279.978 * * [simplify]: Extracting #1: cost 83 inf + 0 279.979 * * [simplify]: Extracting #2: cost 144 inf + 0 279.979 * * [simplify]: Extracting #3: cost 154 inf + 0 279.980 * * [simplify]: Extracting #4: cost 146 inf + 1514 279.981 * * [simplify]: Extracting #5: cost 128 inf + 5983 279.983 * * [simplify]: Extracting #6: cost 110 inf + 11475 279.989 * * [simplify]: Extracting #7: cost 59 inf + 35929 280.004 * * [simplify]: Extracting #8: cost 6 inf + 63543 280.023 * * [simplify]: Extracting #9: cost 0 inf + 67146 280.052 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th)))) 280.052 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 280.053 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 280.053 * * [simplify]: iters left: 6 (18 enodes) 280.058 * * [simplify]: iters left: 5 (61 enodes) 280.068 * * [simplify]: iters left: 4 (84 enodes) 280.088 * * [simplify]: iters left: 3 (129 enodes) 280.132 * * [simplify]: iters left: 2 (199 enodes) 280.184 * * [simplify]: iters left: 1 (298 enodes) 280.280 * * [simplify]: Extracting #0: cost 1 inf + 0 280.280 * * [simplify]: Extracting #1: cost 39 inf + 0 280.281 * * [simplify]: Extracting #2: cost 75 inf + 0 280.281 * * [simplify]: Extracting #3: cost 82 inf + 0 280.281 * * [simplify]: Extracting #4: cost 79 inf + 427 280.282 * * [simplify]: Extracting #5: cost 61 inf + 4494 280.283 * * [simplify]: Extracting #6: cost 55 inf + 5422 280.285 * * [simplify]: Extracting #7: cost 27 inf + 15967 280.296 * * [simplify]: Extracting #8: cost 1 inf + 28236 280.309 * * [simplify]: Extracting #9: cost 0 inf + 28639 280.321 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 280.322 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 280.322 * * * * [progress]: [ 534 / 2703 ] simplifiying candidate # 280.322 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) 1)) 280.323 * * [simplify]: iters left: 6 (20 enodes) 280.333 * * [simplify]: iters left: 5 (69 enodes) 280.358 * * [simplify]: iters left: 4 (101 enodes) 280.383 * * [simplify]: iters left: 3 (185 enodes) 280.451 * * [simplify]: iters left: 2 (340 enodes) 280.643 * * [simplify]: Extracting #0: cost 1 inf + 0 280.643 * * [simplify]: Extracting #1: cost 62 inf + 0 280.644 * * [simplify]: Extracting #2: cost 103 inf + 1 280.644 * * [simplify]: Extracting #3: cost 110 inf + 1 280.645 * * [simplify]: Extracting #4: cost 103 inf + 831 280.646 * * [simplify]: Extracting #5: cost 88 inf + 6647 280.650 * * [simplify]: Extracting #6: cost 65 inf + 13309 280.660 * * [simplify]: Extracting #7: cost 32 inf + 27112 280.678 * * [simplify]: Extracting #8: cost 4 inf + 42721 280.692 * * [simplify]: Extracting #9: cost 0 inf + 45036 280.701 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cos th))))) 280.701 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 280.702 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 280.702 * * [simplify]: iters left: 6 (18 enodes) 280.706 * * [simplify]: iters left: 5 (61 enodes) 280.716 * * [simplify]: iters left: 4 (85 enodes) 280.733 * * [simplify]: iters left: 3 (150 enodes) 280.788 * * [simplify]: iters left: 2 (278 enodes) 280.877 * * [simplify]: iters left: 1 (459 enodes) 281.023 * * [simplify]: Extracting #0: cost 1 inf + 0 281.025 * * [simplify]: Extracting #1: cost 53 inf + 0 281.025 * * [simplify]: Extracting #2: cost 103 inf + 0 281.025 * * [simplify]: Extracting #3: cost 112 inf + 0 281.026 * * [simplify]: Extracting #4: cost 109 inf + 427 281.026 * * [simplify]: Extracting #5: cost 96 inf + 2605 281.032 * * [simplify]: Extracting #6: cost 31 inf + 29278 281.052 * * [simplify]: Extracting #7: cost 0 inf + 43440 281.064 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))) 281.064 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) 1)) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))))) 281.065 * * * * [progress]: [ 535 / 2703 ] simplifiying candidate # 281.065 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 281.065 * * [simplify]: iters left: 6 (21 enodes) 281.070 * * [simplify]: iters left: 5 (76 enodes) 281.083 * * [simplify]: iters left: 4 (122 enodes) 281.125 * * [simplify]: iters left: 3 (280 enodes) 281.305 * * [simplify]: Extracting #0: cost 1 inf + 0 281.305 * * [simplify]: Extracting #1: cost 96 inf + 0 281.306 * * [simplify]: Extracting #2: cost 215 inf + 1 281.308 * * [simplify]: Extracting #3: cost 221 inf + 1 281.310 * * [simplify]: Extracting #4: cost 212 inf + 1879 281.313 * * [simplify]: Extracting #5: cost 197 inf + 7038 281.320 * * [simplify]: Extracting #6: cost 157 inf + 21529 281.342 * * [simplify]: Extracting #7: cost 35 inf + 85925 281.370 * * [simplify]: Extracting #8: cost 0 inf + 104810 281.393 * * [simplify]: Extracting #9: cost 0 inf + 104730 281.422 * * [simplify]: Extracting #10: cost 0 inf + 104690 281.446 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 281.446 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 281.446 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 281.446 * * [simplify]: iters left: 6 (18 enodes) 281.452 * * [simplify]: iters left: 5 (61 enodes) 281.470 * * [simplify]: iters left: 4 (84 enodes) 281.498 * * [simplify]: iters left: 3 (143 enodes) 281.546 * * [simplify]: iters left: 2 (237 enodes) 281.602 * * [simplify]: iters left: 1 (330 enodes) 281.717 * * [simplify]: Extracting #0: cost 1 inf + 0 281.717 * * [simplify]: Extracting #1: cost 38 inf + 0 281.717 * * [simplify]: Extracting #2: cost 74 inf + 0 281.718 * * [simplify]: Extracting #3: cost 80 inf + 0 281.718 * * [simplify]: Extracting #4: cost 75 inf + 588 281.719 * * [simplify]: Extracting #5: cost 68 inf + 3326 281.721 * * [simplify]: Extracting #6: cost 63 inf + 3712 281.724 * * [simplify]: Extracting #7: cost 35 inf + 14432 281.730 * * [simplify]: Extracting #8: cost 3 inf + 29896 281.740 * * [simplify]: Extracting #9: cost 0 inf + 31667 281.747 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 281.747 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 281.747 * * * * [progress]: [ 536 / 2703 ] simplifiying candidate # 281.747 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 281.748 * * [simplify]: iters left: 6 (22 enodes) 281.753 * * [simplify]: iters left: 5 (78 enodes) 281.766 * * [simplify]: iters left: 4 (116 enodes) 281.807 * * [simplify]: iters left: 3 (222 enodes) 281.890 * * [simplify]: iters left: 2 (465 enodes) 282.262 * * [simplify]: Extracting #0: cost 1 inf + 0 282.263 * * [simplify]: Extracting #1: cost 63 inf + 0 282.263 * * [simplify]: Extracting #2: cost 149 inf + 1 282.264 * * [simplify]: Extracting #3: cost 159 inf + 1 282.265 * * [simplify]: Extracting #4: cost 151 inf + 1333 282.266 * * [simplify]: Extracting #5: cost 138 inf + 5284 282.268 * * [simplify]: Extracting #6: cost 130 inf + 6997 282.272 * * [simplify]: Extracting #7: cost 79 inf + 26653 282.288 * * [simplify]: Extracting #8: cost 8 inf + 65557 282.311 * * [simplify]: Extracting #9: cost 0 inf + 69844 282.328 * [simplify]: Simplified to (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 282.328 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 282.329 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 282.329 * * [simplify]: iters left: 6 (19 enodes) 282.340 * * [simplify]: iters left: 5 (64 enodes) 282.360 * * [simplify]: iters left: 4 (87 enodes) 282.388 * * [simplify]: iters left: 3 (146 enodes) 282.433 * * [simplify]: iters left: 2 (240 enodes) 282.509 * * [simplify]: iters left: 1 (333 enodes) 282.624 * * [simplify]: Extracting #0: cost 1 inf + 0 282.624 * * [simplify]: Extracting #1: cost 38 inf + 0 282.624 * * [simplify]: Extracting #2: cost 75 inf + 0 282.625 * * [simplify]: Extracting #3: cost 82 inf + 0 282.625 * * [simplify]: Extracting #4: cost 78 inf + 327 282.626 * * [simplify]: Extracting #5: cost 71 inf + 2984 282.626 * * [simplify]: Extracting #6: cost 64 inf + 3753 282.628 * * [simplify]: Extracting #7: cost 45 inf + 9902 282.633 * * [simplify]: Extracting #8: cost 4 inf + 30637 282.641 * * [simplify]: Extracting #9: cost 0 inf + 32791 282.650 * [simplify]: Simplified to (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 282.650 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 282.650 * * * * [progress]: [ 537 / 2703 ] simplifiying candidate # 282.651 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 282.651 * * [simplify]: iters left: 6 (19 enodes) 282.656 * * [simplify]: iters left: 5 (68 enodes) 282.676 * * [simplify]: iters left: 4 (105 enodes) 282.714 * * [simplify]: iters left: 3 (195 enodes) 282.821 * * [simplify]: iters left: 2 (395 enodes) 283.034 * * [simplify]: Extracting #0: cost 1 inf + 0 283.034 * * [simplify]: Extracting #1: cost 42 inf + 0 283.035 * * [simplify]: Extracting #2: cost 97 inf + 1 283.036 * * [simplify]: Extracting #3: cost 104 inf + 1 283.037 * * [simplify]: Extracting #4: cost 96 inf + 1355 283.039 * * [simplify]: Extracting #5: cost 74 inf + 6353 283.042 * * [simplify]: Extracting #6: cost 66 inf + 7747 283.051 * * [simplify]: Extracting #7: cost 36 inf + 20753 283.069 * * [simplify]: Extracting #8: cost 0 inf + 36463 283.087 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) 283.087 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 283.088 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 283.088 * * [simplify]: iters left: 6 (16 enodes) 283.097 * * [simplify]: iters left: 5 (55 enodes) 283.106 * * [simplify]: iters left: 4 (75 enodes) 283.118 * * [simplify]: iters left: 3 (109 enodes) 283.140 * * [simplify]: iters left: 2 (156 enodes) 283.194 * * [simplify]: iters left: 1 (203 enodes) 283.266 * * [simplify]: Extracting #0: cost 1 inf + 0 283.266 * * [simplify]: Extracting #1: cost 28 inf + 0 283.266 * * [simplify]: Extracting #2: cost 55 inf + 0 283.267 * * [simplify]: Extracting #3: cost 62 inf + 0 283.267 * * [simplify]: Extracting #4: cost 60 inf + 266 283.267 * * [simplify]: Extracting #5: cost 48 inf + 1740 283.269 * * [simplify]: Extracting #6: cost 13 inf + 13677 283.273 * * [simplify]: Extracting #7: cost 0 inf + 19440 283.277 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 283.278 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 283.278 * * * * [progress]: [ 538 / 2703 ] simplifiying candidate # 283.278 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt 1))) 283.278 * * [simplify]: iters left: 6 (20 enodes) 283.284 * * [simplify]: iters left: 5 (71 enodes) 283.298 * * [simplify]: iters left: 4 (101 enodes) 283.336 * * [simplify]: iters left: 3 (167 enodes) 283.410 * * [simplify]: iters left: 2 (301 enodes) 283.585 * * [simplify]: iters left: 1 (487 enodes) 283.911 * * [simplify]: Extracting #0: cost 1 inf + 0 283.911 * * [simplify]: Extracting #1: cost 24 inf + 0 283.911 * * [simplify]: Extracting #2: cost 47 inf + 1 283.912 * * [simplify]: Extracting #3: cost 53 inf + 1 283.912 * * [simplify]: Extracting #4: cost 49 inf + 449 283.913 * * [simplify]: Extracting #5: cost 36 inf + 4157 283.916 * * [simplify]: Extracting #6: cost 31 inf + 4844 283.918 * * [simplify]: Extracting #7: cost 17 inf + 8318 283.922 * * [simplify]: Extracting #8: cost 1 inf + 15414 283.930 * * [simplify]: Extracting #9: cost 0 inf + 15777 283.940 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 283.940 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 283.941 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 283.941 * * [simplify]: iters left: 6 (17 enodes) 283.949 * * [simplify]: iters left: 5 (58 enodes) 283.968 * * [simplify]: iters left: 4 (81 enodes) 283.989 * * [simplify]: iters left: 3 (140 enodes) 284.014 * * [simplify]: iters left: 2 (234 enodes) 284.109 * * [simplify]: iters left: 1 (327 enodes) 284.225 * * [simplify]: Extracting #0: cost 1 inf + 0 284.225 * * [simplify]: Extracting #1: cost 38 inf + 0 284.226 * * [simplify]: Extracting #2: cost 74 inf + 0 284.228 * * [simplify]: Extracting #3: cost 81 inf + 0 284.229 * * [simplify]: Extracting #4: cost 78 inf + 387 284.230 * * [simplify]: Extracting #5: cost 61 inf + 3411 284.235 * * [simplify]: Extracting #6: cost 32 inf + 15042 284.248 * * [simplify]: Extracting #7: cost 1 inf + 27940 284.259 * * [simplify]: Extracting #8: cost 0 inf + 28383 284.266 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 284.266 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt 1))) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 284.266 * * * * [progress]: [ 539 / 2703 ] simplifiying candidate # 284.267 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 284.267 * * [simplify]: iters left: 6 (19 enodes) 284.272 * * [simplify]: iters left: 5 (68 enodes) 284.283 * * [simplify]: iters left: 4 (105 enodes) 284.302 * * [simplify]: iters left: 3 (195 enodes) 284.370 * * [simplify]: iters left: 2 (395 enodes) 284.613 * * [simplify]: Extracting #0: cost 1 inf + 0 284.613 * * [simplify]: Extracting #1: cost 42 inf + 0 284.614 * * [simplify]: Extracting #2: cost 97 inf + 1 284.615 * * [simplify]: Extracting #3: cost 104 inf + 1 284.616 * * [simplify]: Extracting #4: cost 96 inf + 1355 284.618 * * [simplify]: Extracting #5: cost 74 inf + 6353 284.621 * * [simplify]: Extracting #6: cost 66 inf + 7747 284.630 * * [simplify]: Extracting #7: cost 36 inf + 20753 284.650 * * [simplify]: Extracting #8: cost 0 inf + 36463 284.668 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) 284.668 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 284.669 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 284.669 * * [simplify]: iters left: 6 (16 enodes) 284.677 * * [simplify]: iters left: 5 (55 enodes) 284.694 * * [simplify]: iters left: 4 (75 enodes) 284.710 * * [simplify]: iters left: 3 (109 enodes) 284.728 * * [simplify]: iters left: 2 (156 enodes) 284.776 * * [simplify]: iters left: 1 (203 enodes) 284.839 * * [simplify]: Extracting #0: cost 1 inf + 0 284.839 * * [simplify]: Extracting #1: cost 28 inf + 0 284.839 * * [simplify]: Extracting #2: cost 55 inf + 0 284.839 * * [simplify]: Extracting #3: cost 62 inf + 0 284.839 * * [simplify]: Extracting #4: cost 60 inf + 266 284.840 * * [simplify]: Extracting #5: cost 48 inf + 1740 284.842 * * [simplify]: Extracting #6: cost 13 inf + 13677 284.846 * * [simplify]: Extracting #7: cost 0 inf + 19440 284.850 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 284.850 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 284.850 * * * * [progress]: [ 540 / 2703 ] simplifiying candidate # 284.850 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 1)) 284.851 * * [simplify]: iters left: 6 (19 enodes) 284.855 * * [simplify]: iters left: 5 (64 enodes) 284.875 * * [simplify]: iters left: 4 (86 enodes) 284.892 * * [simplify]: iters left: 3 (125 enodes) 284.916 * * [simplify]: iters left: 2 (191 enodes) 284.988 * * [simplify]: iters left: 1 (259 enodes) 285.077 * * [simplify]: Extracting #0: cost 1 inf + 0 285.077 * * [simplify]: Extracting #1: cost 21 inf + 0 285.077 * * [simplify]: Extracting #2: cost 41 inf + 1 285.077 * * [simplify]: Extracting #3: cost 47 inf + 1 285.077 * * [simplify]: Extracting #4: cost 44 inf + 287 285.078 * * [simplify]: Extracting #5: cost 32 inf + 3873 285.079 * * [simplify]: Extracting #6: cost 27 inf + 4520 285.080 * * [simplify]: Extracting #7: cost 13 inf + 7993 285.083 * * [simplify]: Extracting #8: cost 1 inf + 12813 285.086 * * [simplify]: Extracting #9: cost 0 inf + 13357 285.089 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 285.089 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 285.090 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 285.090 * * [simplify]: iters left: 6 (17 enodes) 285.094 * * [simplify]: iters left: 5 (58 enodes) 285.113 * * [simplify]: iters left: 4 (81 enodes) 285.139 * * [simplify]: iters left: 3 (140 enodes) 285.192 * * [simplify]: iters left: 2 (234 enodes) 285.253 * * [simplify]: iters left: 1 (327 enodes) 285.367 * * [simplify]: Extracting #0: cost 1 inf + 0 285.367 * * [simplify]: Extracting #1: cost 38 inf + 0 285.368 * * [simplify]: Extracting #2: cost 74 inf + 0 285.368 * * [simplify]: Extracting #3: cost 81 inf + 0 285.369 * * [simplify]: Extracting #4: cost 78 inf + 387 285.370 * * [simplify]: Extracting #5: cost 61 inf + 3411 285.375 * * [simplify]: Extracting #6: cost 32 inf + 15042 285.387 * * [simplify]: Extracting #7: cost 1 inf + 27940 285.397 * * [simplify]: Extracting #8: cost 0 inf + 28383 285.404 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 285.404 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 1)) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 285.404 * * * * [progress]: [ 541 / 2703 ] simplifiying candidate # 285.405 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 1) 285.405 * * [simplify]: iters left: 6 (18 enodes) 285.409 * * [simplify]: iters left: 5 (61 enodes) 285.421 * * [simplify]: iters left: 4 (87 enodes) 285.450 * * [simplify]: iters left: 3 (133 enodes) 285.503 * * [simplify]: iters left: 2 (207 enodes) 285.601 * * [simplify]: iters left: 1 (266 enodes) 285.718 * * [simplify]: Extracting #0: cost 1 inf + 0 285.719 * * [simplify]: Extracting #1: cost 21 inf + 0 285.719 * * [simplify]: Extracting #2: cost 41 inf + 1 285.719 * * [simplify]: Extracting #3: cost 47 inf + 1 285.720 * * [simplify]: Extracting #4: cost 44 inf + 347 285.721 * * [simplify]: Extracting #5: cost 34 inf + 3309 285.723 * * [simplify]: Extracting #6: cost 27 inf + 4520 285.726 * * [simplify]: Extracting #7: cost 13 inf + 8515 285.731 * * [simplify]: Extracting #8: cost 3 inf + 12207 285.738 * * [simplify]: Extracting #9: cost 0 inf + 13357 285.744 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) 285.744 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 285.745 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 285.745 * * [simplify]: iters left: 6 (17 enodes) 285.754 * * [simplify]: iters left: 5 (58 enodes) 285.772 * * [simplify]: iters left: 4 (81 enodes) 285.798 * * [simplify]: iters left: 3 (140 enodes) 285.847 * * [simplify]: iters left: 2 (234 enodes) 285.943 * * [simplify]: iters left: 1 (327 enodes) 286.036 * * [simplify]: Extracting #0: cost 1 inf + 0 286.036 * * [simplify]: Extracting #1: cost 38 inf + 0 286.036 * * [simplify]: Extracting #2: cost 74 inf + 0 286.037 * * [simplify]: Extracting #3: cost 81 inf + 0 286.037 * * [simplify]: Extracting #4: cost 78 inf + 387 286.038 * * [simplify]: Extracting #5: cost 61 inf + 3411 286.043 * * [simplify]: Extracting #6: cost 32 inf + 15042 286.058 * * [simplify]: Extracting #7: cost 1 inf + 27940 286.065 * * [simplify]: Extracting #8: cost 0 inf + 28383 286.071 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 286.071 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 1) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 286.072 * * * * [progress]: [ 542 / 2703 ] simplifiying candidate # 286.072 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (sqrt 2))) 286.072 * * [simplify]: iters left: 6 (17 enodes) 286.076 * * [simplify]: iters left: 5 (58 enodes) 286.086 * * [simplify]: iters left: 4 (83 enodes) 286.107 * * [simplify]: iters left: 3 (127 enodes) 286.147 * * [simplify]: iters left: 2 (174 enodes) 286.196 * * [simplify]: iters left: 1 (205 enodes) 286.245 * * [simplify]: Extracting #0: cost 1 inf + 0 286.245 * * [simplify]: Extracting #1: cost 27 inf + 0 286.245 * * [simplify]: Extracting #2: cost 53 inf + 0 286.246 * * [simplify]: Extracting #3: cost 59 inf + 0 286.246 * * [simplify]: Extracting #4: cost 54 inf + 588 286.247 * * [simplify]: Extracting #5: cost 43 inf + 4492 286.249 * * [simplify]: Extracting #6: cost 32 inf + 7151 286.253 * * [simplify]: Extracting #7: cost 16 inf + 12073 286.261 * * [simplify]: Extracting #8: cost 1 inf + 18783 286.268 * * [simplify]: Extracting #9: cost 0 inf + 19367 286.278 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 286.278 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 286.278 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 286.279 * * [simplify]: iters left: 6 (18 enodes) 286.288 * * [simplify]: iters left: 5 (63 enodes) 286.308 * * [simplify]: iters left: 4 (85 enodes) 286.323 * * [simplify]: iters left: 3 (133 enodes) 286.355 * * [simplify]: iters left: 2 (226 enodes) 286.462 * * [simplify]: iters left: 1 (373 enodes) 286.651 * * [simplify]: Extracting #0: cost 1 inf + 0 286.651 * * [simplify]: Extracting #1: cost 34 inf + 0 286.652 * * [simplify]: Extracting #2: cost 80 inf + 1 286.652 * * [simplify]: Extracting #3: cost 87 inf + 1 286.653 * * [simplify]: Extracting #4: cost 84 inf + 388 286.653 * * [simplify]: Extracting #5: cost 73 inf + 1642 286.655 * * [simplify]: Extracting #6: cost 41 inf + 12333 286.663 * * [simplify]: Extracting #7: cost 1 inf + 28245 286.674 * * [simplify]: Extracting #8: cost 0 inf + 28488 286.685 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) 286.685 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (sqrt 2))) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 286.685 * * * * [progress]: [ 543 / 2703 ] simplifiying candidate # 286.685 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 286.685 * * [simplify]: iters left: 6 (23 enodes) 286.691 * * [simplify]: iters left: 5 (95 enodes) 286.710 * * [simplify]: iters left: 4 (187 enodes) 286.785 * * [simplify]: iters left: 3 (395 enodes) 286.947 * * [simplify]: Extracting #0: cost 1 inf + 0 286.947 * * [simplify]: Extracting #1: cost 64 inf + 0 286.948 * * [simplify]: Extracting #2: cost 134 inf + 0 286.949 * * [simplify]: Extracting #3: cost 143 inf + 0 286.950 * * [simplify]: Extracting #4: cost 162 inf + 1614 286.953 * * [simplify]: Extracting #5: cost 193 inf + 5786 286.958 * * [simplify]: Extracting #6: cost 147 inf + 20580 286.969 * * [simplify]: Extracting #7: cost 45 inf + 77710 286.990 * * [simplify]: Extracting #8: cost 3 inf + 95411 287.028 * * [simplify]: Extracting #9: cost 0 inf + 95217 287.065 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 287.065 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 287.066 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 287.066 * * [simplify]: iters left: 6 (22 enodes) 287.078 * * [simplify]: iters left: 5 (93 enodes) 287.110 * * [simplify]: iters left: 4 (174 enodes) 287.178 * * [simplify]: iters left: 3 (308 enodes) 287.296 * * [simplify]: iters left: 2 (450 enodes) 287.430 * * [simplify]: Extracting #0: cost 1 inf + 0 287.430 * * [simplify]: Extracting #1: cost 21 inf + 0 287.430 * * [simplify]: Extracting #2: cost 42 inf + 0 287.430 * * [simplify]: Extracting #3: cost 67 inf + 0 287.431 * * [simplify]: Extracting #4: cost 187 inf + 387 287.432 * * [simplify]: Extracting #5: cost 225 inf + 4323 287.438 * * [simplify]: Extracting #6: cost 78 inf + 29490 287.451 * * [simplify]: Extracting #7: cost 5 inf + 49099 287.461 * * [simplify]: Extracting #8: cost 0 inf + 51775 287.472 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 287.472 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))))) 287.472 * * * * [progress]: [ 544 / 2703 ] simplifiying candidate # 287.472 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 287.472 * * [simplify]: iters left: 6 (22 enodes) 287.483 * * [simplify]: iters left: 5 (87 enodes) 287.502 * * [simplify]: iters left: 4 (153 enodes) 287.540 * * [simplify]: iters left: 3 (322 enodes) 287.662 * * [simplify]: Extracting #0: cost 1 inf + 0 287.662 * * [simplify]: Extracting #1: cost 65 inf + 0 287.663 * * [simplify]: Extracting #2: cost 135 inf + 0 287.663 * * [simplify]: Extracting #3: cost 158 inf + 0 287.664 * * [simplify]: Extracting #4: cost 208 inf + 1072 287.666 * * [simplify]: Extracting #5: cost 176 inf + 12041 287.673 * * [simplify]: Extracting #6: cost 93 inf + 31375 287.687 * * [simplify]: Extracting #7: cost 67 inf + 40813 287.707 * * [simplify]: Extracting #8: cost 9 inf + 75708 287.724 * * [simplify]: Extracting #9: cost 0 inf + 81178 287.750 * [simplify]: Simplified to (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 287.750 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 287.750 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))) 287.751 * * [simplify]: iters left: 6 (18 enodes) 287.755 * * [simplify]: iters left: 5 (64 enodes) 287.765 * * [simplify]: iters left: 4 (91 enodes) 287.793 * * [simplify]: iters left: 3 (128 enodes) 287.832 * * [simplify]: iters left: 2 (180 enodes) 287.883 * * [simplify]: iters left: 1 (282 enodes) 287.932 * * [simplify]: Extracting #0: cost 1 inf + 0 287.933 * * [simplify]: Extracting #1: cost 23 inf + 0 287.933 * * [simplify]: Extracting #2: cost 45 inf + 0 287.933 * * [simplify]: Extracting #3: cost 73 inf + 0 287.934 * * [simplify]: Extracting #4: cost 103 inf + 266 287.935 * * [simplify]: Extracting #5: cost 96 inf + 1277 287.938 * * [simplify]: Extracting #6: cost 49 inf + 9957 287.945 * * [simplify]: Extracting #7: cost 6 inf + 20442 287.952 * * [simplify]: Extracting #8: cost 0 inf + 22599 287.959 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2))))) 287.959 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2))))))) 287.960 * * * * [progress]: [ 545 / 2703 ] simplifiying candidate # 287.960 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 287.960 * * [simplify]: iters left: 6 (21 enodes) 287.966 * * [simplify]: iters left: 5 (74 enodes) 287.978 * * [simplify]: iters left: 4 (101 enodes) 288.006 * * [simplify]: iters left: 3 (181 enodes) 288.052 * * [simplify]: iters left: 2 (303 enodes) 288.163 * * [simplify]: iters left: 1 (463 enodes) 288.524 * * [simplify]: Extracting #0: cost 1 inf + 0 288.524 * * [simplify]: Extracting #1: cost 42 inf + 0 288.525 * * [simplify]: Extracting #2: cost 77 inf + 1 288.526 * * [simplify]: Extracting #3: cost 83 inf + 1 288.527 * * [simplify]: Extracting #4: cost 79 inf + 388 288.527 * * [simplify]: Extracting #5: cost 68 inf + 3473 288.528 * * [simplify]: Extracting #6: cost 66 inf + 5445 288.529 * * [simplify]: Extracting #7: cost 57 inf + 6138 288.531 * * [simplify]: Extracting #8: cost 44 inf + 12564 288.541 * * [simplify]: Extracting #9: cost 6 inf + 34752 288.554 * * [simplify]: Extracting #10: cost 0 inf + 37974 288.566 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 288.566 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 288.567 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 288.567 * * [simplify]: iters left: 6 (16 enodes) 288.573 * * [simplify]: iters left: 5 (53 enodes) 288.582 * * [simplify]: iters left: 4 (67 enodes) 288.593 * * [simplify]: iters left: 3 (87 enodes) 288.606 * * [simplify]: iters left: 2 (98 enodes) 288.621 * * [simplify]: iters left: 1 (117 enodes) 288.643 * * [simplify]: Extracting #0: cost 1 inf + 0 288.643 * * [simplify]: Extracting #1: cost 23 inf + 0 288.644 * * [simplify]: Extracting #2: cost 44 inf + 0 288.644 * * [simplify]: Extracting #3: cost 52 inf + 0 288.644 * * [simplify]: Extracting #4: cost 50 inf + 266 288.645 * * [simplify]: Extracting #5: cost 41 inf + 1116 288.646 * * [simplify]: Extracting #6: cost 24 inf + 6682 288.651 * * [simplify]: Extracting #7: cost 4 inf + 16833 288.656 * * [simplify]: Extracting #8: cost 0 inf + 18988 288.662 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 288.662 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 288.663 * * * * [progress]: [ 546 / 2703 ] simplifiying candidate # 288.663 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 288.663 * * [simplify]: iters left: 6 (20 enodes) 288.677 * * [simplify]: iters left: 5 (69 enodes) 288.698 * * [simplify]: iters left: 4 (86 enodes) 288.725 * * [simplify]: iters left: 3 (125 enodes) 288.764 * * [simplify]: iters left: 2 (165 enodes) 288.813 * * [simplify]: iters left: 1 (205 enodes) 288.858 * * [simplify]: Extracting #0: cost 1 inf + 0 288.858 * * [simplify]: Extracting #1: cost 29 inf + 0 288.858 * * [simplify]: Extracting #2: cost 50 inf + 1 288.858 * * [simplify]: Extracting #3: cost 56 inf + 1 288.859 * * [simplify]: Extracting #4: cost 51 inf + 388 288.859 * * [simplify]: Extracting #5: cost 39 inf + 4035 288.860 * * [simplify]: Extracting #6: cost 39 inf + 5445 288.861 * * [simplify]: Extracting #7: cost 32 inf + 5854 288.862 * * [simplify]: Extracting #8: cost 28 inf + 6502 288.864 * * [simplify]: Extracting #9: cost 13 inf + 13879 288.868 * * [simplify]: Extracting #10: cost 0 inf + 21373 288.875 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 288.875 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 288.875 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 288.876 * * [simplify]: iters left: 6 (16 enodes) 288.880 * * [simplify]: iters left: 5 (53 enodes) 288.889 * * [simplify]: iters left: 4 (67 enodes) 288.908 * * [simplify]: iters left: 3 (87 enodes) 288.932 * * [simplify]: iters left: 2 (98 enodes) 288.948 * * [simplify]: iters left: 1 (117 enodes) 288.973 * * [simplify]: Extracting #0: cost 1 inf + 0 288.973 * * [simplify]: Extracting #1: cost 23 inf + 0 288.973 * * [simplify]: Extracting #2: cost 44 inf + 0 288.973 * * [simplify]: Extracting #3: cost 52 inf + 0 288.974 * * [simplify]: Extracting #4: cost 50 inf + 266 288.974 * * [simplify]: Extracting #5: cost 41 inf + 1116 288.976 * * [simplify]: Extracting #6: cost 24 inf + 6442 288.980 * * [simplify]: Extracting #7: cost 4 inf + 15993 288.986 * * [simplify]: Extracting #8: cost 0 inf + 18028 288.994 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 288.994 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 288.994 * * * * [progress]: [ 547 / 2703 ] simplifiying candidate # 288.995 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 288.995 * * [simplify]: iters left: 6 (23 enodes) 289.008 * * [simplify]: iters left: 5 (82 enodes) 289.033 * * [simplify]: iters left: 4 (117 enodes) 289.054 * * [simplify]: iters left: 3 (232 enodes) 289.127 * * [simplify]: Extracting #0: cost 1 inf + 0 289.127 * * [simplify]: Extracting #1: cost 62 inf + 0 289.127 * * [simplify]: Extracting #2: cost 135 inf + 1 289.128 * * [simplify]: Extracting #3: cost 143 inf + 1 289.128 * * [simplify]: Extracting #4: cost 137 inf + 750 289.130 * * [simplify]: Extracting #5: cost 117 inf + 8631 289.132 * * [simplify]: Extracting #6: cost 101 inf + 12855 289.134 * * [simplify]: Extracting #7: cost 97 inf + 13423 289.141 * * [simplify]: Extracting #8: cost 74 inf + 26219 289.163 * * [simplify]: Extracting #9: cost 10 inf + 65540 289.177 * * [simplify]: Extracting #10: cost 0 inf + 72040 289.194 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 289.194 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 289.195 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 289.195 * * [simplify]: iters left: 6 (18 enodes) 289.204 * * [simplify]: iters left: 5 (61 enodes) 289.223 * * [simplify]: iters left: 4 (85 enodes) 289.248 * * [simplify]: iters left: 3 (150 enodes) 289.280 * * [simplify]: iters left: 2 (278 enodes) 289.392 * * [simplify]: iters left: 1 (464 enodes) 289.574 * * [simplify]: Extracting #0: cost 1 inf + 0 289.575 * * [simplify]: Extracting #1: cost 53 inf + 0 289.575 * * [simplify]: Extracting #2: cost 104 inf + 0 289.575 * * [simplify]: Extracting #3: cost 113 inf + 0 289.576 * * [simplify]: Extracting #4: cost 110 inf + 427 289.577 * * [simplify]: Extracting #5: cost 94 inf + 3690 289.581 * * [simplify]: Extracting #6: cost 37 inf + 28617 289.591 * * [simplify]: Extracting #7: cost 2 inf + 47315 289.610 * * [simplify]: Extracting #8: cost 0 inf + 48382 289.631 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 289.631 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 289.631 * * * * [progress]: [ 548 / 2703 ] simplifiying candidate # 289.632 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 289.632 * * [simplify]: iters left: 6 (23 enodes) 289.644 * * [simplify]: iters left: 5 (81 enodes) 290.103 * * [simplify]: iters left: 4 (108 enodes) 290.131 * * [simplify]: iters left: 3 (187 enodes) 290.194 * * [simplify]: iters left: 2 (335 enodes) 290.382 * * [simplify]: Extracting #0: cost 1 inf + 0 290.382 * * [simplify]: Extracting #1: cost 54 inf + 0 290.382 * * [simplify]: Extracting #2: cost 105 inf + 1 290.383 * * [simplify]: Extracting #3: cost 113 inf + 1 290.384 * * [simplify]: Extracting #4: cost 107 inf + 851 290.385 * * [simplify]: Extracting #5: cost 78 inf + 11750 290.388 * * [simplify]: Extracting #6: cost 64 inf + 15794 290.393 * * [simplify]: Extracting #7: cost 47 inf + 24087 290.402 * * [simplify]: Extracting #8: cost 8 inf + 47125 290.414 * * [simplify]: Extracting #9: cost 0 inf + 52196 290.427 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 290.427 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 290.427 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 290.427 * * [simplify]: iters left: 6 (19 enodes) 290.432 * * [simplify]: iters left: 5 (64 enodes) 290.442 * * [simplify]: iters left: 4 (88 enodes) 290.471 * * [simplify]: iters left: 3 (153 enodes) 290.501 * * [simplify]: iters left: 2 (280 enodes) 290.585 * * [simplify]: iters left: 1 (460 enodes) 290.760 * * [simplify]: Extracting #0: cost 1 inf + 0 290.760 * * [simplify]: Extracting #1: cost 53 inf + 0 290.761 * * [simplify]: Extracting #2: cost 105 inf + 0 290.762 * * [simplify]: Extracting #3: cost 115 inf + 0 290.763 * * [simplify]: Extracting #4: cost 113 inf + 366 290.764 * * [simplify]: Extracting #5: cost 97 inf + 3287 290.771 * * [simplify]: Extracting #6: cost 44 inf + 26241 290.794 * * [simplify]: Extracting #7: cost 0 inf + 49746 290.815 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 290.815 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 290.816 * * * * [progress]: [ 549 / 2703 ] simplifiying candidate # 290.816 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 290.816 * * [simplify]: iters left: 6 (22 enodes) 290.828 * * [simplify]: iters left: 5 (77 enodes) 290.852 * * [simplify]: iters left: 4 (104 enodes) 290.886 * * [simplify]: iters left: 3 (183 enodes) 290.936 * * [simplify]: iters left: 2 (331 enodes) 291.106 * * [simplify]: Extracting #0: cost 1 inf + 0 291.106 * * [simplify]: Extracting #1: cost 54 inf + 0 291.107 * * [simplify]: Extracting #2: cost 104 inf + 1 291.107 * * [simplify]: Extracting #3: cost 111 inf + 1 291.108 * * [simplify]: Extracting #4: cost 105 inf + 790 291.109 * * [simplify]: Extracting #5: cost 85 inf + 8311 291.112 * * [simplify]: Extracting #6: cost 62 inf + 15332 291.115 * * [simplify]: Extracting #7: cost 58 inf + 16241 291.119 * * [simplify]: Extracting #8: cost 42 inf + 24195 291.129 * * [simplify]: Extracting #9: cost 8 inf + 44563 291.146 * * [simplify]: Extracting #10: cost 0 inf + 49352 291.168 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 291.168 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 291.168 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 291.169 * * [simplify]: iters left: 6 (18 enodes) 291.177 * * [simplify]: iters left: 5 (61 enodes) 291.199 * * [simplify]: iters left: 4 (85 enodes) 291.227 * * [simplify]: iters left: 3 (150 enodes) 291.282 * * [simplify]: iters left: 2 (278 enodes) 291.413 * * [simplify]: iters left: 1 (464 enodes) 291.664 * * [simplify]: Extracting #0: cost 1 inf + 0 291.665 * * [simplify]: Extracting #1: cost 53 inf + 0 291.665 * * [simplify]: Extracting #2: cost 104 inf + 0 291.666 * * [simplify]: Extracting #3: cost 113 inf + 0 291.666 * * [simplify]: Extracting #4: cost 110 inf + 427 291.667 * * [simplify]: Extracting #5: cost 94 inf + 3690 291.671 * * [simplify]: Extracting #6: cost 37 inf + 27617 291.681 * * [simplify]: Extracting #7: cost 2 inf + 45235 291.694 * * [simplify]: Extracting #8: cost 0 inf + 46262 291.715 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 291.715 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 291.715 * * * * [progress]: [ 550 / 2703 ] simplifiying candidate # 291.716 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 291.716 * * [simplify]: iters left: 6 (15 enodes) 291.724 * * [simplify]: iters left: 5 (55 enodes) 291.739 * * [simplify]: iters left: 4 (72 enodes) 291.751 * * [simplify]: iters left: 3 (117 enodes) 291.787 * * [simplify]: iters left: 2 (174 enodes) 291.855 * * [simplify]: iters left: 1 (233 enodes) 291.935 * * [simplify]: Extracting #0: cost 1 inf + 0 291.935 * * [simplify]: Extracting #1: cost 22 inf + 0 291.935 * * [simplify]: Extracting #2: cost 46 inf + 1 291.936 * * [simplify]: Extracting #3: cost 51 inf + 1 291.936 * * [simplify]: Extracting #4: cost 46 inf + 226 291.938 * * [simplify]: Extracting #5: cost 21 inf + 6585 291.943 * * [simplify]: Extracting #6: cost 0 inf + 15027 291.949 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 291.949 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 291.950 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 291.950 * * [simplify]: iters left: 6 (17 enodes) 291.958 * * [simplify]: iters left: 5 (58 enodes) 291.971 * * [simplify]: iters left: 4 (81 enodes) 291.985 * * [simplify]: iters left: 3 (126 enodes) 292.006 * * [simplify]: iters left: 2 (196 enodes) 292.075 * * [simplify]: iters left: 1 (320 enodes) 292.184 * * [simplify]: Extracting #0: cost 1 inf + 0 292.184 * * [simplify]: Extracting #1: cost 41 inf + 0 292.184 * * [simplify]: Extracting #2: cost 94 inf + 0 292.185 * * [simplify]: Extracting #3: cost 108 inf + 84 292.186 * * [simplify]: Extracting #4: cost 89 inf + 2493 292.191 * * [simplify]: Extracting #5: cost 39 inf + 21359 292.204 * * [simplify]: Extracting #6: cost 2 inf + 37265 292.218 * * [simplify]: Extracting #7: cost 0 inf + 38231 292.233 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) 292.233 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))))) 292.233 * * * * [progress]: [ 551 / 2703 ] simplifiying candidate # 292.234 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 292.234 * * [simplify]: iters left: 6 (22 enodes) 292.245 * * [simplify]: iters left: 5 (77 enodes) 292.273 * * [simplify]: iters left: 4 (104 enodes) 292.307 * * [simplify]: iters left: 3 (183 enodes) 292.379 * * [simplify]: iters left: 2 (331 enodes) 292.551 * * [simplify]: Extracting #0: cost 1 inf + 0 292.552 * * [simplify]: Extracting #1: cost 54 inf + 0 292.552 * * [simplify]: Extracting #2: cost 104 inf + 1 292.553 * * [simplify]: Extracting #3: cost 111 inf + 1 292.554 * * [simplify]: Extracting #4: cost 105 inf + 790 292.556 * * [simplify]: Extracting #5: cost 85 inf + 8311 292.561 * * [simplify]: Extracting #6: cost 62 inf + 15332 292.567 * * [simplify]: Extracting #7: cost 58 inf + 16241 292.576 * * [simplify]: Extracting #8: cost 42 inf + 24195 292.593 * * [simplify]: Extracting #9: cost 8 inf + 44563 292.604 * * [simplify]: Extracting #10: cost 0 inf + 49352 292.615 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 292.615 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 292.616 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 292.616 * * [simplify]: iters left: 6 (18 enodes) 292.622 * * [simplify]: iters left: 5 (61 enodes) 292.641 * * [simplify]: iters left: 4 (85 enodes) 292.669 * * [simplify]: iters left: 3 (150 enodes) 292.727 * * [simplify]: iters left: 2 (278 enodes) 292.811 * * [simplify]: iters left: 1 (464 enodes) 292.979 * * [simplify]: Extracting #0: cost 1 inf + 0 292.980 * * [simplify]: Extracting #1: cost 53 inf + 0 292.980 * * [simplify]: Extracting #2: cost 104 inf + 0 292.981 * * [simplify]: Extracting #3: cost 113 inf + 0 292.982 * * [simplify]: Extracting #4: cost 110 inf + 427 292.984 * * [simplify]: Extracting #5: cost 94 inf + 3690 292.992 * * [simplify]: Extracting #6: cost 37 inf + 27617 293.014 * * [simplify]: Extracting #7: cost 2 inf + 45235 293.035 * * [simplify]: Extracting #8: cost 0 inf + 46262 293.056 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 293.056 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 293.056 * * * * [progress]: [ 552 / 2703 ] simplifiying candidate # 293.057 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 293.057 * * [simplify]: iters left: 6 (15 enodes) 293.066 * * [simplify]: iters left: 5 (53 enodes) 293.083 * * [simplify]: iters left: 4 (70 enodes) 293.107 * * [simplify]: iters left: 3 (115 enodes) 293.148 * * [simplify]: iters left: 2 (170 enodes) 293.184 * * [simplify]: iters left: 1 (229 enodes) 293.277 * * [simplify]: Extracting #0: cost 1 inf + 0 293.278 * * [simplify]: Extracting #1: cost 21 inf + 0 293.278 * * [simplify]: Extracting #2: cost 43 inf + 1 293.279 * * [simplify]: Extracting #3: cost 48 inf + 1 293.279 * * [simplify]: Extracting #4: cost 43 inf + 226 293.281 * * [simplify]: Extracting #5: cost 18 inf + 7465 293.286 * * [simplify]: Extracting #6: cost 2 inf + 13115 293.292 * * [simplify]: Extracting #7: cost 0 inf + 13999 293.297 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 293.298 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 293.298 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 293.298 * * [simplify]: iters left: 6 (17 enodes) 293.307 * * [simplify]: iters left: 5 (58 enodes) 293.325 * * [simplify]: iters left: 4 (81 enodes) 293.351 * * [simplify]: iters left: 3 (126 enodes) 293.396 * * [simplify]: iters left: 2 (196 enodes) 293.451 * * [simplify]: iters left: 1 (320 enodes) 293.559 * * [simplify]: Extracting #0: cost 1 inf + 0 293.560 * * [simplify]: Extracting #1: cost 41 inf + 0 293.560 * * [simplify]: Extracting #2: cost 94 inf + 0 293.560 * * [simplify]: Extracting #3: cost 108 inf + 84 293.561 * * [simplify]: Extracting #4: cost 89 inf + 2493 293.564 * * [simplify]: Extracting #5: cost 39 inf + 21359 293.571 * * [simplify]: Extracting #6: cost 2 inf + 37265 293.578 * * [simplify]: Extracting #7: cost 0 inf + 38231 293.588 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) 293.588 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))))) 293.589 * * * * [progress]: [ 553 / 2703 ] simplifiying candidate # 293.589 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 293.589 * * [simplify]: iters left: 6 (25 enodes) 293.602 * * [simplify]: iters left: 5 (89 enodes) 293.621 * * [simplify]: iters left: 4 (124 enodes) 293.649 * * [simplify]: iters left: 3 (238 enodes) 293.734 * * [simplify]: Extracting #0: cost 1 inf + 0 293.734 * * [simplify]: Extracting #1: cost 62 inf + 0 293.735 * * [simplify]: Extracting #2: cost 135 inf + 1 293.736 * * [simplify]: Extracting #3: cost 145 inf + 1 293.737 * * [simplify]: Extracting #4: cost 140 inf + 931 293.738 * * [simplify]: Extracting #5: cost 123 inf + 6443 293.740 * * [simplify]: Extracting #6: cost 102 inf + 13698 293.742 * * [simplify]: Extracting #7: cost 98 inf + 14185 293.745 * * [simplify]: Extracting #8: cost 82 inf + 22655 293.756 * * [simplify]: Extracting #9: cost 11 inf + 65838 293.770 * * [simplify]: Extracting #10: cost 0 inf + 73644 293.796 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2)))) (cbrt (sqrt 2))) 293.796 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 293.797 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 293.797 * * [simplify]: iters left: 6 (20 enodes) 293.807 * * [simplify]: iters left: 5 (67 enodes) 293.828 * * [simplify]: iters left: 4 (91 enodes) 293.847 * * [simplify]: iters left: 3 (156 enodes) 293.892 * * [simplify]: iters left: 2 (284 enodes) 294.005 * * [simplify]: iters left: 1 (473 enodes) 294.182 * * [simplify]: Extracting #0: cost 1 inf + 0 294.182 * * [simplify]: Extracting #1: cost 53 inf + 0 294.183 * * [simplify]: Extracting #2: cost 105 inf + 0 294.184 * * [simplify]: Extracting #3: cost 116 inf + 0 294.187 * * [simplify]: Extracting #4: cost 113 inf + 789 294.188 * * [simplify]: Extracting #5: cost 95 inf + 4173 294.197 * * [simplify]: Extracting #6: cost 37 inf + 32063 294.218 * * [simplify]: Extracting #7: cost 1 inf + 51922 294.241 * * [simplify]: Extracting #8: cost 0 inf + 52746 294.262 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 294.262 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2)))) (cbrt (sqrt 2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 294.263 * * * * [progress]: [ 554 / 2703 ] simplifiying candidate # 294.263 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 294.263 * * [simplify]: iters left: 6 (25 enodes) 294.278 * * [simplify]: iters left: 5 (88 enodes) 294.305 * * [simplify]: iters left: 4 (115 enodes) 294.333 * * [simplify]: iters left: 3 (193 enodes) 294.388 * * [simplify]: iters left: 2 (340 enodes) 294.564 * * [simplify]: Extracting #0: cost 1 inf + 0 294.565 * * [simplify]: Extracting #1: cost 54 inf + 0 294.565 * * [simplify]: Extracting #2: cost 105 inf + 1 294.566 * * [simplify]: Extracting #3: cost 115 inf + 1 294.567 * * [simplify]: Extracting #4: cost 112 inf + 689 294.570 * * [simplify]: Extracting #5: cost 85 inf + 9404 294.575 * * [simplify]: Extracting #6: cost 69 inf + 15332 294.582 * * [simplify]: Extracting #7: cost 55 inf + 21851 294.599 * * [simplify]: Extracting #8: cost 12 inf + 44833 294.621 * * [simplify]: Extracting #9: cost 0 inf + 53040 294.632 * [simplify]: Simplified to (/ (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (fabs (cbrt 2))) (cbrt (cos th)))) 294.632 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (fabs (cbrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 294.632 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 294.633 * * [simplify]: iters left: 6 (21 enodes) 294.638 * * [simplify]: iters left: 5 (70 enodes) 294.650 * * [simplify]: iters left: 4 (94 enodes) 294.681 * * [simplify]: iters left: 3 (159 enodes) 294.732 * * [simplify]: iters left: 2 (286 enodes) 294.827 * * [simplify]: iters left: 1 (469 enodes) 295.021 * * [simplify]: Extracting #0: cost 1 inf + 0 295.021 * * [simplify]: Extracting #1: cost 53 inf + 0 295.022 * * [simplify]: Extracting #2: cost 105 inf + 0 295.023 * * [simplify]: Extracting #3: cost 117 inf + 0 295.024 * * [simplify]: Extracting #4: cost 113 inf + 1091 295.025 * * [simplify]: Extracting #5: cost 98 inf + 3430 295.031 * * [simplify]: Extracting #6: cost 55 inf + 22723 295.050 * * [simplify]: Extracting #7: cost 7 inf + 49342 295.062 * * [simplify]: Extracting #8: cost 0 inf + 53568 295.074 * [simplify]: Simplified to (* (cbrt (cos th)) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (cbrt 2))) (cbrt (sqrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 295.074 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (fabs (cbrt 2))) (cbrt (cos th)))) (* (cbrt (cos th)) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (cbrt 2))) (cbrt (sqrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 295.074 * * * * [progress]: [ 555 / 2703 ] simplifiying candidate # 295.074 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 295.074 * * [simplify]: iters left: 6 (24 enodes) 295.088 * * [simplify]: iters left: 5 (84 enodes) 295.115 * * [simplify]: iters left: 4 (111 enodes) 295.152 * * [simplify]: iters left: 3 (189 enodes) 295.202 * * [simplify]: iters left: 2 (336 enodes) 295.403 * * [simplify]: Extracting #0: cost 1 inf + 0 295.403 * * [simplify]: Extracting #1: cost 54 inf + 0 295.404 * * [simplify]: Extracting #2: cost 104 inf + 1 295.404 * * [simplify]: Extracting #3: cost 113 inf + 1 295.405 * * [simplify]: Extracting #4: cost 110 inf + 589 295.406 * * [simplify]: Extracting #5: cost 80 inf + 10566 295.409 * * [simplify]: Extracting #6: cost 61 inf + 16099 295.413 * * [simplify]: Extracting #7: cost 48 inf + 21516 295.421 * * [simplify]: Extracting #8: cost 6 inf + 46474 295.438 * * [simplify]: Extracting #9: cost 0 inf + 50196 295.460 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 295.460 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 295.461 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 295.461 * * [simplify]: iters left: 6 (20 enodes) 295.470 * * [simplify]: iters left: 5 (67 enodes) 295.491 * * [simplify]: iters left: 4 (91 enodes) 295.524 * * [simplify]: iters left: 3 (156 enodes) 295.583 * * [simplify]: iters left: 2 (284 enodes) 295.698 * * [simplify]: iters left: 1 (473 enodes) 295.931 * * [simplify]: Extracting #0: cost 1 inf + 0 295.931 * * [simplify]: Extracting #1: cost 53 inf + 0 295.932 * * [simplify]: Extracting #2: cost 105 inf + 0 295.933 * * [simplify]: Extracting #3: cost 116 inf + 0 295.934 * * [simplify]: Extracting #4: cost 113 inf + 789 295.935 * * [simplify]: Extracting #5: cost 95 inf + 4173 295.944 * * [simplify]: Extracting #6: cost 37 inf + 31303 295.965 * * [simplify]: Extracting #7: cost 1 inf + 49842 295.988 * * [simplify]: Extracting #8: cost 0 inf + 50626 296.002 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 296.002 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 296.003 * * * * [progress]: [ 556 / 2703 ] simplifiying candidate # 296.003 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 296.003 * * [simplify]: iters left: 6 (17 enodes) 296.008 * * [simplify]: iters left: 5 (62 enodes) 296.019 * * [simplify]: iters left: 4 (79 enodes) 296.041 * * [simplify]: iters left: 3 (123 enodes) 296.089 * * [simplify]: iters left: 2 (177 enodes) 296.157 * * [simplify]: iters left: 1 (236 enodes) 296.237 * * [simplify]: Extracting #0: cost 1 inf + 0 296.237 * * [simplify]: Extracting #1: cost 21 inf + 0 296.237 * * [simplify]: Extracting #2: cost 43 inf + 1 296.237 * * [simplify]: Extracting #3: cost 50 inf + 1 296.237 * * [simplify]: Extracting #4: cost 47 inf + 226 296.238 * * [simplify]: Extracting #5: cost 22 inf + 5803 296.240 * * [simplify]: Extracting #6: cost 2 inf + 13979 296.243 * * [simplify]: Extracting #7: cost 0 inf + 14803 296.246 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) 296.246 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 296.246 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 296.246 * * [simplify]: iters left: 6 (19 enodes) 296.255 * * [simplify]: iters left: 5 (64 enodes) 296.267 * * [simplify]: iters left: 4 (87 enodes) 296.280 * * [simplify]: iters left: 3 (132 enodes) 296.306 * * [simplify]: iters left: 2 (202 enodes) 296.369 * * [simplify]: iters left: 1 (325 enodes) 296.508 * * [simplify]: Extracting #0: cost 1 inf + 0 296.508 * * [simplify]: Extracting #1: cost 41 inf + 0 296.508 * * [simplify]: Extracting #2: cost 95 inf + 0 296.509 * * [simplify]: Extracting #3: cost 111 inf + 84 296.509 * * [simplify]: Extracting #4: cost 93 inf + 2715 296.511 * * [simplify]: Extracting #5: cost 64 inf + 11311 296.514 * * [simplify]: Extracting #6: cost 40 inf + 21376 296.521 * * [simplify]: Extracting #7: cost 3 inf + 40725 296.529 * * [simplify]: Extracting #8: cost 0 inf + 42355 296.540 * [simplify]: Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (cbrt 2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 296.540 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (cbrt 2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 296.540 * * * * [progress]: [ 557 / 2703 ] simplifiying candidate # 296.541 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 296.543 * * [simplify]: iters left: 6 (24 enodes) 296.551 * * [simplify]: iters left: 5 (84 enodes) 296.565 * * [simplify]: iters left: 4 (111 enodes) 296.589 * * [simplify]: iters left: 3 (189 enodes) 296.666 * * [simplify]: iters left: 2 (336 enodes) 296.828 * * [simplify]: Extracting #0: cost 1 inf + 0 296.829 * * [simplify]: Extracting #1: cost 54 inf + 0 296.830 * * [simplify]: Extracting #2: cost 104 inf + 1 296.830 * * [simplify]: Extracting #3: cost 113 inf + 1 296.831 * * [simplify]: Extracting #4: cost 110 inf + 589 296.835 * * [simplify]: Extracting #5: cost 80 inf + 10566 296.840 * * [simplify]: Extracting #6: cost 61 inf + 16099 296.848 * * [simplify]: Extracting #7: cost 48 inf + 21516 296.865 * * [simplify]: Extracting #8: cost 6 inf + 46474 296.887 * * [simplify]: Extracting #9: cost 0 inf + 50196 296.908 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 296.908 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 296.909 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 296.909 * * [simplify]: iters left: 6 (20 enodes) 296.919 * * [simplify]: iters left: 5 (67 enodes) 296.938 * * [simplify]: iters left: 4 (91 enodes) 296.956 * * [simplify]: iters left: 3 (156 enodes) 296.991 * * [simplify]: iters left: 2 (284 enodes) 297.071 * * [simplify]: iters left: 1 (473 enodes) 297.240 * * [simplify]: Extracting #0: cost 1 inf + 0 297.240 * * [simplify]: Extracting #1: cost 53 inf + 0 297.241 * * [simplify]: Extracting #2: cost 105 inf + 0 297.241 * * [simplify]: Extracting #3: cost 116 inf + 0 297.242 * * [simplify]: Extracting #4: cost 113 inf + 789 297.242 * * [simplify]: Extracting #5: cost 95 inf + 4173 297.248 * * [simplify]: Extracting #6: cost 37 inf + 31303 297.269 * * [simplify]: Extracting #7: cost 1 inf + 49842 297.292 * * [simplify]: Extracting #8: cost 0 inf + 50626 297.314 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 297.314 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 297.314 * * * * [progress]: [ 558 / 2703 ] simplifiying candidate # 297.315 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 297.315 * * [simplify]: iters left: 6 (17 enodes) 297.325 * * [simplify]: iters left: 5 (60 enodes) 297.344 * * [simplify]: iters left: 4 (77 enodes) 297.365 * * [simplify]: iters left: 3 (121 enodes) 297.391 * * [simplify]: iters left: 2 (175 enodes) 297.432 * * [simplify]: iters left: 1 (234 enodes) 297.513 * * [simplify]: Extracting #0: cost 1 inf + 0 297.513 * * [simplify]: Extracting #1: cost 23 inf + 0 297.514 * * [simplify]: Extracting #2: cost 45 inf + 1 297.514 * * [simplify]: Extracting #3: cost 52 inf + 1 297.515 * * [simplify]: Extracting #4: cost 50 inf + 105 297.516 * * [simplify]: Extracting #5: cost 25 inf + 5501 297.520 * * [simplify]: Extracting #6: cost 1 inf + 14947 297.524 * * [simplify]: Extracting #7: cost 0 inf + 15489 297.531 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) 297.531 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 297.532 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 297.532 * * [simplify]: iters left: 6 (19 enodes) 297.540 * * [simplify]: iters left: 5 (64 enodes) 297.561 * * [simplify]: iters left: 4 (87 enodes) 297.589 * * [simplify]: iters left: 3 (132 enodes) 297.613 * * [simplify]: iters left: 2 (202 enodes) 297.668 * * [simplify]: iters left: 1 (325 enodes) 297.784 * * [simplify]: Extracting #0: cost 1 inf + 0 297.785 * * [simplify]: Extracting #1: cost 41 inf + 0 297.785 * * [simplify]: Extracting #2: cost 95 inf + 0 297.786 * * [simplify]: Extracting #3: cost 111 inf + 84 297.787 * * [simplify]: Extracting #4: cost 93 inf + 2715 297.791 * * [simplify]: Extracting #5: cost 64 inf + 11311 297.797 * * [simplify]: Extracting #6: cost 40 inf + 21376 297.809 * * [simplify]: Extracting #7: cost 3 inf + 40725 297.817 * * [simplify]: Extracting #8: cost 0 inf + 42355 297.827 * [simplify]: Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (cbrt 2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 297.827 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (cbrt 2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 297.827 * * * * [progress]: [ 559 / 2703 ] simplifiying candidate # 297.827 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 297.827 * * [simplify]: iters left: 6 (23 enodes) 297.833 * * [simplify]: iters left: 5 (82 enodes) 297.859 * * [simplify]: iters left: 4 (117 enodes) 297.884 * * [simplify]: iters left: 3 (231 enodes) 297.972 * * [simplify]: Extracting #0: cost 1 inf + 0 297.972 * * [simplify]: Extracting #1: cost 62 inf + 0 297.973 * * [simplify]: Extracting #2: cost 135 inf + 1 297.974 * * [simplify]: Extracting #3: cost 143 inf + 1 297.976 * * [simplify]: Extracting #4: cost 138 inf + 689 297.978 * * [simplify]: Extracting #5: cost 120 inf + 6645 297.981 * * [simplify]: Extracting #6: cost 102 inf + 11854 297.985 * * [simplify]: Extracting #7: cost 97 inf + 12463 297.992 * * [simplify]: Extracting #8: cost 70 inf + 27877 298.014 * * [simplify]: Extracting #9: cost 3 inf + 66847 298.033 * * [simplify]: Extracting #10: cost 0 inf + 68840 298.048 * [simplify]: Simplified to (/ (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) 298.049 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 298.049 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 298.049 * * [simplify]: iters left: 6 (19 enodes) 298.054 * * [simplify]: iters left: 5 (64 enodes) 298.064 * * [simplify]: iters left: 4 (88 enodes) 298.086 * * [simplify]: iters left: 3 (153 enodes) 298.135 * * [simplify]: iters left: 2 (280 enodes) 298.248 * * [simplify]: iters left: 1 (460 enodes) 298.442 * * [simplify]: Extracting #0: cost 1 inf + 0 298.442 * * [simplify]: Extracting #1: cost 53 inf + 0 298.442 * * [simplify]: Extracting #2: cost 105 inf + 0 298.443 * * [simplify]: Extracting #3: cost 115 inf + 0 298.444 * * [simplify]: Extracting #4: cost 112 inf + 427 298.445 * * [simplify]: Extracting #5: cost 93 inf + 4213 298.449 * * [simplify]: Extracting #6: cost 47 inf + 24408 298.458 * * [simplify]: Extracting #7: cost 1 inf + 48141 298.469 * * [simplify]: Extracting #8: cost 0 inf + 48744 298.480 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 298.480 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 298.480 * * * * [progress]: [ 560 / 2703 ] simplifiying candidate # 298.480 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 298.480 * * [simplify]: iters left: 6 (23 enodes) 298.487 * * [simplify]: iters left: 5 (81 enodes) 298.501 * * [simplify]: iters left: 4 (108 enodes) 298.539 * * [simplify]: iters left: 3 (186 enodes) 298.612 * * [simplify]: iters left: 2 (335 enodes) 298.786 * * [simplify]: Extracting #0: cost 1 inf + 0 298.788 * * [simplify]: Extracting #1: cost 54 inf + 0 298.789 * * [simplify]: Extracting #2: cost 105 inf + 1 298.789 * * [simplify]: Extracting #3: cost 113 inf + 1 298.790 * * [simplify]: Extracting #4: cost 109 inf + 568 298.791 * * [simplify]: Extracting #5: cost 79 inf + 10247 298.794 * * [simplify]: Extracting #6: cost 64 inf + 14434 298.797 * * [simplify]: Extracting #7: cost 50 inf + 20536 298.805 * * [simplify]: Extracting #8: cost 11 inf + 42313 298.815 * * [simplify]: Extracting #9: cost 0 inf + 49236 298.825 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) 298.825 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 298.825 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 298.826 * * [simplify]: iters left: 6 (20 enodes) 298.830 * * [simplify]: iters left: 5 (67 enodes) 298.847 * * [simplify]: iters left: 4 (91 enodes) 298.877 * * [simplify]: iters left: 3 (156 enodes) 298.911 * * [simplify]: iters left: 2 (284 enodes) 299.026 * * [simplify]: iters left: 1 (471 enodes) 299.219 * * [simplify]: Extracting #0: cost 1 inf + 0 299.219 * * [simplify]: Extracting #1: cost 53 inf + 0 299.220 * * [simplify]: Extracting #2: cost 106 inf + 0 299.220 * * [simplify]: Extracting #3: cost 117 inf + 0 299.221 * * [simplify]: Extracting #4: cost 113 inf + 789 299.223 * * [simplify]: Extracting #5: cost 96 inf + 3772 299.229 * * [simplify]: Extracting #6: cost 61 inf + 17248 299.241 * * [simplify]: Extracting #7: cost 34 inf + 31436 299.262 * * [simplify]: Extracting #8: cost 2 inf + 48780 299.273 * * [simplify]: Extracting #9: cost 0 inf + 50108 299.284 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))) 299.285 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))))) 299.285 * * * * [progress]: [ 561 / 2703 ] simplifiying candidate # 299.285 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 299.285 * * [simplify]: iters left: 6 (22 enodes) 299.292 * * [simplify]: iters left: 5 (77 enodes) 299.315 * * [simplify]: iters left: 4 (104 enodes) 299.337 * * [simplify]: iters left: 3 (182 enodes) 299.394 * * [simplify]: iters left: 2 (329 enodes) 299.537 * * [simplify]: Extracting #0: cost 1 inf + 0 299.537 * * [simplify]: Extracting #1: cost 54 inf + 0 299.538 * * [simplify]: Extracting #2: cost 104 inf + 1 299.538 * * [simplify]: Extracting #3: cost 111 inf + 1 299.539 * * [simplify]: Extracting #4: cost 105 inf + 790 299.541 * * [simplify]: Extracting #5: cost 84 inf + 8173 299.545 * * [simplify]: Extracting #6: cost 61 inf + 14475 299.549 * * [simplify]: Extracting #7: cost 58 inf + 14881 299.556 * * [simplify]: Extracting #8: cost 44 inf + 22128 299.566 * * [simplify]: Extracting #9: cost 6 inf + 43110 299.576 * * [simplify]: Extracting #10: cost 0 inf + 46392 299.590 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 299.590 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 299.591 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 299.591 * * [simplify]: iters left: 6 (19 enodes) 299.600 * * [simplify]: iters left: 5 (64 enodes) 299.618 * * [simplify]: iters left: 4 (88 enodes) 299.645 * * [simplify]: iters left: 3 (153 enodes) 299.674 * * [simplify]: iters left: 2 (280 enodes) 299.785 * * [simplify]: iters left: 1 (460 enodes) 299.981 * * [simplify]: Extracting #0: cost 1 inf + 0 299.981 * * [simplify]: Extracting #1: cost 53 inf + 0 299.982 * * [simplify]: Extracting #2: cost 105 inf + 0 299.982 * * [simplify]: Extracting #3: cost 115 inf + 0 299.983 * * [simplify]: Extracting #4: cost 112 inf + 427 299.983 * * [simplify]: Extracting #5: cost 93 inf + 4213 299.987 * * [simplify]: Extracting #6: cost 47 inf + 23768 299.997 * * [simplify]: Extracting #7: cost 1 inf + 46061 300.009 * * [simplify]: Extracting #8: cost 0 inf + 46624 300.026 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 300.026 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 300.026 * * * * [progress]: [ 562 / 2703 ] simplifiying candidate # 300.026 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 300.026 * * [simplify]: iters left: 6 (15 enodes) 300.031 * * [simplify]: iters left: 5 (55 enodes) 300.040 * * [simplify]: iters left: 4 (72 enodes) 300.064 * * [simplify]: iters left: 3 (116 enodes) 300.086 * * [simplify]: iters left: 2 (170 enodes) 300.138 * * [simplify]: iters left: 1 (229 enodes) 300.244 * * [simplify]: Extracting #0: cost 1 inf + 0 300.244 * * [simplify]: Extracting #1: cost 22 inf + 0 300.244 * * [simplify]: Extracting #2: cost 46 inf + 1 300.245 * * [simplify]: Extracting #3: cost 51 inf + 1 300.245 * * [simplify]: Extracting #4: cost 45 inf + 267 300.246 * * [simplify]: Extracting #5: cost 22 inf + 6143 300.249 * * [simplify]: Extracting #6: cost 3 inf + 12721 300.252 * * [simplify]: Extracting #7: cost 0 inf + 13907 300.254 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2))))) 300.254 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 300.255 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 300.255 * * [simplify]: iters left: 6 (18 enodes) 300.259 * * [simplify]: iters left: 5 (61 enodes) 300.269 * * [simplify]: iters left: 4 (84 enodes) 300.291 * * [simplify]: iters left: 3 (129 enodes) 300.327 * * [simplify]: iters left: 2 (199 enodes) 300.390 * * [simplify]: iters left: 1 (323 enodes) 300.518 * * [simplify]: Extracting #0: cost 1 inf + 0 300.518 * * [simplify]: Extracting #1: cost 41 inf + 0 300.518 * * [simplify]: Extracting #2: cost 95 inf + 0 300.519 * * [simplify]: Extracting #3: cost 110 inf + 84 300.519 * * [simplify]: Extracting #4: cost 94 inf + 2109 300.523 * * [simplify]: Extracting #5: cost 38 inf + 22301 300.534 * * [simplify]: Extracting #6: cost 0 inf + 38673 300.549 * [simplify]: Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))) 300.549 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))))) 300.549 * * * * [progress]: [ 563 / 2703 ] simplifiying candidate # 300.550 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 300.550 * * [simplify]: iters left: 6 (22 enodes) 300.564 * * [simplify]: iters left: 5 (77 enodes) 300.587 * * [simplify]: iters left: 4 (104 enodes) 300.621 * * [simplify]: iters left: 3 (182 enodes) 300.666 * * [simplify]: iters left: 2 (329 enodes) 300.868 * * [simplify]: Extracting #0: cost 1 inf + 0 300.869 * * [simplify]: Extracting #1: cost 54 inf + 0 300.869 * * [simplify]: Extracting #2: cost 104 inf + 1 300.871 * * [simplify]: Extracting #3: cost 111 inf + 1 300.872 * * [simplify]: Extracting #4: cost 105 inf + 790 300.874 * * [simplify]: Extracting #5: cost 84 inf + 8173 300.878 * * [simplify]: Extracting #6: cost 61 inf + 14475 300.883 * * [simplify]: Extracting #7: cost 58 inf + 14881 300.891 * * [simplify]: Extracting #8: cost 44 inf + 22128 300.909 * * [simplify]: Extracting #9: cost 6 inf + 43110 300.929 * * [simplify]: Extracting #10: cost 0 inf + 46392 300.950 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 300.950 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 300.950 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 300.950 * * [simplify]: iters left: 6 (19 enodes) 300.959 * * [simplify]: iters left: 5 (64 enodes) 300.978 * * [simplify]: iters left: 4 (88 enodes) 301.011 * * [simplify]: iters left: 3 (153 enodes) 301.066 * * [simplify]: iters left: 2 (280 enodes) 301.178 * * [simplify]: iters left: 1 (460 enodes) 301.419 * * [simplify]: Extracting #0: cost 1 inf + 0 301.419 * * [simplify]: Extracting #1: cost 53 inf + 0 301.420 * * [simplify]: Extracting #2: cost 105 inf + 0 301.421 * * [simplify]: Extracting #3: cost 115 inf + 0 301.422 * * [simplify]: Extracting #4: cost 112 inf + 427 301.423 * * [simplify]: Extracting #5: cost 93 inf + 4213 301.430 * * [simplify]: Extracting #6: cost 47 inf + 23768 301.452 * * [simplify]: Extracting #7: cost 1 inf + 46061 301.463 * * [simplify]: Extracting #8: cost 0 inf + 46624 301.474 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 301.474 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 301.474 * * * * [progress]: [ 564 / 2703 ] simplifiying candidate # 301.475 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) 1)) 301.475 * * [simplify]: iters left: 6 (15 enodes) 301.479 * * [simplify]: iters left: 5 (53 enodes) 301.490 * * [simplify]: iters left: 4 (70 enodes) 301.514 * * [simplify]: iters left: 3 (114 enodes) 301.553 * * [simplify]: iters left: 2 (168 enodes) 301.588 * * [simplify]: iters left: 1 (227 enodes) 301.693 * * [simplify]: Extracting #0: cost 1 inf + 0 301.693 * * [simplify]: Extracting #1: cost 23 inf + 0 301.694 * * [simplify]: Extracting #2: cost 45 inf + 1 301.694 * * [simplify]: Extracting #3: cost 50 inf + 1 301.694 * * [simplify]: Extracting #4: cost 45 inf + 226 301.696 * * [simplify]: Extracting #5: cost 24 inf + 5277 301.700 * * [simplify]: Extracting #6: cost 1 inf + 13363 301.706 * * [simplify]: Extracting #7: cost 0 inf + 13565 301.711 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cos th)))) 301.711 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 301.712 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 301.712 * * [simplify]: iters left: 6 (18 enodes) 301.720 * * [simplify]: iters left: 5 (61 enodes) 301.740 * * [simplify]: iters left: 4 (84 enodes) 301.766 * * [simplify]: iters left: 3 (129 enodes) 301.812 * * [simplify]: iters left: 2 (199 enodes) 301.871 * * [simplify]: iters left: 1 (323 enodes) 301.983 * * [simplify]: Extracting #0: cost 1 inf + 0 301.984 * * [simplify]: Extracting #1: cost 41 inf + 0 301.984 * * [simplify]: Extracting #2: cost 95 inf + 0 301.985 * * [simplify]: Extracting #3: cost 110 inf + 84 301.986 * * [simplify]: Extracting #4: cost 94 inf + 2109 301.991 * * [simplify]: Extracting #5: cost 38 inf + 22301 302.003 * * [simplify]: Extracting #6: cost 0 inf + 38673 302.016 * [simplify]: Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))) 302.016 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cos th)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))))) 302.016 * * * * [progress]: [ 565 / 2703 ] simplifiying candidate # 302.017 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 302.017 * * [simplify]: iters left: 6 (22 enodes) 302.027 * * [simplify]: iters left: 5 (79 enodes) 302.048 * * [simplify]: iters left: 4 (114 enodes) 302.070 * * [simplify]: iters left: 3 (219 enodes) 302.151 * * [simplify]: iters left: 2 (492 enodes) 302.583 * * [simplify]: Extracting #0: cost 1 inf + 0 302.583 * * [simplify]: Extracting #1: cost 84 inf + 0 302.585 * * [simplify]: Extracting #2: cost 222 inf + 1 302.587 * * [simplify]: Extracting #3: cost 233 inf + 1 302.590 * * [simplify]: Extracting #4: cost 218 inf + 3250 302.594 * * [simplify]: Extracting #5: cost 212 inf + 5365 302.598 * * [simplify]: Extracting #6: cost 206 inf + 5693 302.602 * * [simplify]: Extracting #7: cost 203 inf + 5937 302.612 * * [simplify]: Extracting #8: cost 134 inf + 36590 302.631 * * [simplify]: Extracting #9: cost 15 inf + 94097 302.654 * * [simplify]: Extracting #10: cost 0 inf + 101331 302.681 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (cbrt (sqrt 2))) 302.681 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 302.681 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 302.681 * * [simplify]: iters left: 6 (17 enodes) 302.689 * * [simplify]: iters left: 5 (58 enodes) 302.707 * * [simplify]: iters left: 4 (81 enodes) 302.734 * * [simplify]: iters left: 3 (140 enodes) 302.772 * * [simplify]: iters left: 2 (234 enodes) 302.854 * * [simplify]: iters left: 1 (327 enodes) 302.981 * * [simplify]: Extracting #0: cost 1 inf + 0 302.982 * * [simplify]: Extracting #1: cost 38 inf + 0 302.982 * * [simplify]: Extracting #2: cost 74 inf + 0 302.982 * * [simplify]: Extracting #3: cost 81 inf + 0 302.982 * * [simplify]: Extracting #4: cost 78 inf + 387 302.983 * * [simplify]: Extracting #5: cost 62 inf + 3069 302.985 * * [simplify]: Extracting #6: cost 32 inf + 15363 302.992 * * [simplify]: Extracting #7: cost 3 inf + 28293 303.007 * * [simplify]: Extracting #8: cost 0 inf + 29823 303.020 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 303.020 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (cbrt (sqrt 2))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 303.020 * * * * [progress]: [ 566 / 2703 ] simplifiying candidate # 303.021 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 303.021 * * [simplify]: iters left: 6 (22 enodes) 303.032 * * [simplify]: iters left: 5 (78 enodes) 303.059 * * [simplify]: iters left: 4 (105 enodes) 303.078 * * [simplify]: iters left: 3 (174 enodes) 303.142 * * [simplify]: iters left: 2 (314 enodes) 303.287 * * [simplify]: iters left: 1 (497 enodes) 303.627 * * [simplify]: Extracting #0: cost 1 inf + 0 303.627 * * [simplify]: Extracting #1: cost 24 inf + 0 303.628 * * [simplify]: Extracting #2: cost 49 inf + 1 303.628 * * [simplify]: Extracting #3: cost 56 inf + 1 303.629 * * [simplify]: Extracting #4: cost 53 inf + 267 303.630 * * [simplify]: Extracting #5: cost 41 inf + 3653 303.633 * * [simplify]: Extracting #6: cost 32 inf + 5007 303.635 * * [simplify]: Extracting #7: cost 28 inf + 5413 303.638 * * [simplify]: Extracting #8: cost 7 inf + 14521 303.645 * * [simplify]: Extracting #9: cost 0 inf + 17805 303.650 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 303.650 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 303.651 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 303.651 * * [simplify]: iters left: 6 (18 enodes) 303.655 * * [simplify]: iters left: 5 (61 enodes) 303.666 * * [simplify]: iters left: 4 (84 enodes) 303.694 * * [simplify]: iters left: 3 (143 enodes) 303.732 * * [simplify]: iters left: 2 (237 enodes) 303.791 * * [simplify]: iters left: 1 (330 enodes) 303.934 * * [simplify]: Extracting #0: cost 1 inf + 0 303.934 * * [simplify]: Extracting #1: cost 38 inf + 0 303.934 * * [simplify]: Extracting #2: cost 75 inf + 0 303.935 * * [simplify]: Extracting #3: cost 83 inf + 0 303.935 * * [simplify]: Extracting #4: cost 79 inf + 588 303.937 * * [simplify]: Extracting #5: cost 64 inf + 3410 303.941 * * [simplify]: Extracting #6: cost 30 inf + 15645 303.953 * * [simplify]: Extracting #7: cost 5 inf + 28229 303.967 * * [simplify]: Extracting #8: cost 0 inf + 30947 303.974 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) 303.974 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 303.974 * * * * [progress]: [ 567 / 2703 ] simplifiying candidate # 303.974 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 303.975 * * [simplify]: iters left: 6 (21 enodes) 303.980 * * [simplify]: iters left: 5 (74 enodes) 303.993 * * [simplify]: iters left: 4 (101 enodes) 304.011 * * [simplify]: iters left: 3 (170 enodes) 304.065 * * [simplify]: iters left: 2 (310 enodes) 304.212 * * [simplify]: Extracting #0: cost 1 inf + 0 304.212 * * [simplify]: Extracting #1: cost 29 inf + 0 304.212 * * [simplify]: Extracting #2: cost 54 inf + 1 304.212 * * [simplify]: Extracting #3: cost 60 inf + 1 304.213 * * [simplify]: Extracting #4: cost 58 inf + 226 304.213 * * [simplify]: Extracting #5: cost 43 inf + 3997 304.214 * * [simplify]: Extracting #6: cost 32 inf + 5653 304.216 * * [simplify]: Extracting #7: cost 30 inf + 5937 304.218 * * [simplify]: Extracting #8: cost 16 inf + 11903 304.223 * * [simplify]: Extracting #9: cost 0 inf + 19062 304.228 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 304.228 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 304.228 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 304.228 * * [simplify]: iters left: 6 (17 enodes) 304.235 * * [simplify]: iters left: 5 (58 enodes) 304.252 * * [simplify]: iters left: 4 (81 enodes) 304.279 * * [simplify]: iters left: 3 (140 enodes) 304.332 * * [simplify]: iters left: 2 (234 enodes) 304.398 * * [simplify]: iters left: 1 (327 enodes) 304.503 * * [simplify]: Extracting #0: cost 1 inf + 0 304.503 * * [simplify]: Extracting #1: cost 38 inf + 0 304.504 * * [simplify]: Extracting #2: cost 74 inf + 0 304.504 * * [simplify]: Extracting #3: cost 81 inf + 0 304.505 * * [simplify]: Extracting #4: cost 78 inf + 387 304.506 * * [simplify]: Extracting #5: cost 62 inf + 3069 304.510 * * [simplify]: Extracting #6: cost 32 inf + 14923 304.518 * * [simplify]: Extracting #7: cost 3 inf + 26933 304.524 * * [simplify]: Extracting #8: cost 0 inf + 28343 304.531 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 304.531 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 304.531 * * * * [progress]: [ 568 / 2703 ] simplifiying candidate # 304.531 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 1)) (sqrt 1))) 304.531 * * [simplify]: iters left: 6 (14 enodes) 304.536 * * [simplify]: iters left: 5 (52 enodes) 304.548 * * [simplify]: iters left: 4 (69 enodes) 304.560 * * [simplify]: iters left: 3 (99 enodes) 304.584 * * [simplify]: iters left: 2 (156 enodes) 304.614 * * [simplify]: iters left: 1 (202 enodes) 304.660 * * [simplify]: Extracting #0: cost 1 inf + 0 304.660 * * [simplify]: Extracting #1: cost 12 inf + 0 304.660 * * [simplify]: Extracting #2: cost 22 inf + 1 304.660 * * [simplify]: Extracting #3: cost 26 inf + 1 304.660 * * [simplify]: Extracting #4: cost 21 inf + 226 304.661 * * [simplify]: Extracting #5: cost 5 inf + 3511 304.662 * * [simplify]: Extracting #6: cost 0 inf + 4801 304.663 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 304.663 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 304.663 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 304.663 * * [simplify]: iters left: 6 (15 enodes) 304.668 * * [simplify]: iters left: 5 (52 enodes) 304.684 * * [simplify]: iters left: 4 (72 enodes) 304.706 * * [simplify]: iters left: 3 (106 enodes) 304.741 * * [simplify]: iters left: 2 (153 enodes) 304.778 * * [simplify]: iters left: 1 (224 enodes) 304.847 * * [simplify]: Extracting #0: cost 1 inf + 0 304.847 * * [simplify]: Extracting #1: cost 30 inf + 0 304.847 * * [simplify]: Extracting #2: cost 70 inf + 0 304.847 * * [simplify]: Extracting #3: cost 84 inf + 84 304.848 * * [simplify]: Extracting #4: cost 62 inf + 3482 304.851 * * [simplify]: Extracting #5: cost 18 inf + 18667 304.857 * * [simplify]: Extracting #6: cost 0 inf + 25420 304.862 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 304.862 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 304.863 * * * * [progress]: [ 569 / 2703 ] simplifiying candidate # 304.863 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 304.863 * * [simplify]: iters left: 6 (21 enodes) 304.869 * * [simplify]: iters left: 5 (74 enodes) 304.882 * * [simplify]: iters left: 4 (101 enodes) 304.899 * * [simplify]: iters left: 3 (170 enodes) 304.961 * * [simplify]: iters left: 2 (310 enodes) 305.139 * * [simplify]: Extracting #0: cost 1 inf + 0 305.140 * * [simplify]: Extracting #1: cost 29 inf + 0 305.140 * * [simplify]: Extracting #2: cost 54 inf + 1 305.141 * * [simplify]: Extracting #3: cost 60 inf + 1 305.141 * * [simplify]: Extracting #4: cost 58 inf + 226 305.143 * * [simplify]: Extracting #5: cost 43 inf + 3997 305.145 * * [simplify]: Extracting #6: cost 32 inf + 5653 305.148 * * [simplify]: Extracting #7: cost 30 inf + 5937 305.152 * * [simplify]: Extracting #8: cost 16 inf + 11903 305.161 * * [simplify]: Extracting #9: cost 0 inf + 19062 305.167 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 305.167 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 305.167 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 305.167 * * [simplify]: iters left: 6 (17 enodes) 305.172 * * [simplify]: iters left: 5 (58 enodes) 305.181 * * [simplify]: iters left: 4 (81 enodes) 305.207 * * [simplify]: iters left: 3 (140 enodes) 305.246 * * [simplify]: iters left: 2 (234 enodes) 305.308 * * [simplify]: iters left: 1 (327 enodes) 305.389 * * [simplify]: Extracting #0: cost 1 inf + 0 305.389 * * [simplify]: Extracting #1: cost 38 inf + 0 305.390 * * [simplify]: Extracting #2: cost 74 inf + 0 305.390 * * [simplify]: Extracting #3: cost 81 inf + 0 305.391 * * [simplify]: Extracting #4: cost 78 inf + 387 305.392 * * [simplify]: Extracting #5: cost 62 inf + 3069 305.396 * * [simplify]: Extracting #6: cost 32 inf + 14923 305.408 * * [simplify]: Extracting #7: cost 3 inf + 26933 305.421 * * [simplify]: Extracting #8: cost 0 inf + 28343 305.434 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 305.434 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 305.434 * * * * [progress]: [ 570 / 2703 ] simplifiying candidate # 305.434 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 1)) 1)) 305.435 * * [simplify]: iters left: 6 (14 enodes) 305.444 * * [simplify]: iters left: 5 (50 enodes) 305.460 * * [simplify]: iters left: 4 (58 enodes) 305.477 * * [simplify]: iters left: 3 (86 enodes) 305.509 * * [simplify]: iters left: 2 (118 enodes) 305.533 * * [simplify]: iters left: 1 (153 enodes) 305.589 * * [simplify]: Extracting #0: cost 1 inf + 0 305.589 * * [simplify]: Extracting #1: cost 12 inf + 0 305.589 * * [simplify]: Extracting #2: cost 22 inf + 1 305.590 * * [simplify]: Extracting #3: cost 26 inf + 1 305.590 * * [simplify]: Extracting #4: cost 22 inf + 105 305.591 * * [simplify]: Extracting #5: cost 9 inf + 2223 305.592 * * [simplify]: Extracting #6: cost 1 inf + 4579 305.594 * * [simplify]: Extracting #7: cost 0 inf + 4801 305.596 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 305.597 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 305.597 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 305.597 * * [simplify]: iters left: 6 (15 enodes) 305.605 * * [simplify]: iters left: 5 (52 enodes) 305.621 * * [simplify]: iters left: 4 (72 enodes) 305.644 * * [simplify]: iters left: 3 (106 enodes) 305.678 * * [simplify]: iters left: 2 (153 enodes) 305.729 * * [simplify]: iters left: 1 (224 enodes) 305.795 * * [simplify]: Extracting #0: cost 1 inf + 0 305.795 * * [simplify]: Extracting #1: cost 30 inf + 0 305.795 * * [simplify]: Extracting #2: cost 70 inf + 0 305.796 * * [simplify]: Extracting #3: cost 84 inf + 84 305.797 * * [simplify]: Extracting #4: cost 62 inf + 3482 305.803 * * [simplify]: Extracting #5: cost 18 inf + 18667 305.812 * * [simplify]: Extracting #6: cost 0 inf + 25420 305.821 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 305.821 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 305.821 * * * * [progress]: [ 571 / 2703 ] simplifiying candidate # 305.822 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 305.822 * * [simplify]: iters left: 6 (23 enodes) 305.836 * * [simplify]: iters left: 5 (82 enodes) 305.863 * * [simplify]: iters left: 4 (117 enodes) 305.896 * * [simplify]: iters left: 3 (231 enodes) 305.969 * * [simplify]: Extracting #0: cost 1 inf + 0 305.969 * * [simplify]: Extracting #1: cost 62 inf + 0 305.970 * * [simplify]: Extracting #2: cost 135 inf + 1 305.971 * * [simplify]: Extracting #3: cost 143 inf + 1 305.972 * * [simplify]: Extracting #4: cost 138 inf + 689 305.974 * * [simplify]: Extracting #5: cost 120 inf + 6645 305.978 * * [simplify]: Extracting #6: cost 102 inf + 11854 305.982 * * [simplify]: Extracting #7: cost 97 inf + 12463 305.989 * * [simplify]: Extracting #8: cost 70 inf + 27877 306.012 * * [simplify]: Extracting #9: cost 3 inf + 66847 306.036 * * [simplify]: Extracting #10: cost 0 inf + 68840 306.051 * [simplify]: Simplified to (/ (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) 306.052 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 306.052 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 306.052 * * [simplify]: iters left: 6 (19 enodes) 306.057 * * [simplify]: iters left: 5 (64 enodes) 306.071 * * [simplify]: iters left: 4 (88 enodes) 306.097 * * [simplify]: iters left: 3 (153 enodes) 306.129 * * [simplify]: iters left: 2 (280 enodes) 306.227 * * [simplify]: iters left: 1 (460 enodes) 306.432 * * [simplify]: Extracting #0: cost 1 inf + 0 306.432 * * [simplify]: Extracting #1: cost 53 inf + 0 306.433 * * [simplify]: Extracting #2: cost 105 inf + 0 306.434 * * [simplify]: Extracting #3: cost 115 inf + 0 306.435 * * [simplify]: Extracting #4: cost 112 inf + 427 306.436 * * [simplify]: Extracting #5: cost 93 inf + 4213 306.443 * * [simplify]: Extracting #6: cost 47 inf + 24408 306.454 * * [simplify]: Extracting #7: cost 1 inf + 48141 306.465 * * [simplify]: Extracting #8: cost 0 inf + 48744 306.478 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 306.478 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 306.478 * * * * [progress]: [ 572 / 2703 ] simplifiying candidate # 306.478 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 306.479 * * [simplify]: iters left: 6 (23 enodes) 306.490 * * [simplify]: iters left: 5 (81 enodes) 306.515 * * [simplify]: iters left: 4 (108 enodes) 306.553 * * [simplify]: iters left: 3 (186 enodes) 306.626 * * [simplify]: iters left: 2 (335 enodes) 306.823 * * [simplify]: Extracting #0: cost 1 inf + 0 306.824 * * [simplify]: Extracting #1: cost 54 inf + 0 306.825 * * [simplify]: Extracting #2: cost 105 inf + 1 306.825 * * [simplify]: Extracting #3: cost 113 inf + 1 306.826 * * [simplify]: Extracting #4: cost 109 inf + 568 306.831 * * [simplify]: Extracting #5: cost 79 inf + 10247 306.836 * * [simplify]: Extracting #6: cost 64 inf + 14434 306.842 * * [simplify]: Extracting #7: cost 50 inf + 20536 306.856 * * [simplify]: Extracting #8: cost 11 inf + 42313 306.873 * * [simplify]: Extracting #9: cost 0 inf + 49236 306.884 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) 306.884 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 306.884 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 306.884 * * [simplify]: iters left: 6 (20 enodes) 306.890 * * [simplify]: iters left: 5 (67 enodes) 306.900 * * [simplify]: iters left: 4 (91 enodes) 306.928 * * [simplify]: iters left: 3 (156 enodes) 306.964 * * [simplify]: iters left: 2 (284 enodes) 307.060 * * [simplify]: iters left: 1 (471 enodes) 307.260 * * [simplify]: Extracting #0: cost 1 inf + 0 307.260 * * [simplify]: Extracting #1: cost 53 inf + 0 307.261 * * [simplify]: Extracting #2: cost 106 inf + 0 307.262 * * [simplify]: Extracting #3: cost 117 inf + 0 307.263 * * [simplify]: Extracting #4: cost 113 inf + 789 307.264 * * [simplify]: Extracting #5: cost 96 inf + 3772 307.270 * * [simplify]: Extracting #6: cost 61 inf + 17248 307.279 * * [simplify]: Extracting #7: cost 34 inf + 31436 307.302 * * [simplify]: Extracting #8: cost 2 inf + 48780 307.324 * * [simplify]: Extracting #9: cost 0 inf + 50108 307.345 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))) 307.345 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))))) 307.346 * * * * [progress]: [ 573 / 2703 ] simplifiying candidate # 307.346 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 307.346 * * [simplify]: iters left: 6 (22 enodes) 307.357 * * [simplify]: iters left: 5 (77 enodes) 307.378 * * [simplify]: iters left: 4 (104 enodes) 307.395 * * [simplify]: iters left: 3 (182 enodes) 307.459 * * [simplify]: iters left: 2 (329 enodes) 307.649 * * [simplify]: Extracting #0: cost 1 inf + 0 307.649 * * [simplify]: Extracting #1: cost 54 inf + 0 307.649 * * [simplify]: Extracting #2: cost 104 inf + 1 307.650 * * [simplify]: Extracting #3: cost 111 inf + 1 307.650 * * [simplify]: Extracting #4: cost 105 inf + 790 307.652 * * [simplify]: Extracting #5: cost 84 inf + 8173 307.654 * * [simplify]: Extracting #6: cost 61 inf + 14475 307.657 * * [simplify]: Extracting #7: cost 58 inf + 14881 307.661 * * [simplify]: Extracting #8: cost 44 inf + 22128 307.674 * * [simplify]: Extracting #9: cost 6 inf + 43110 307.694 * * [simplify]: Extracting #10: cost 0 inf + 46392 307.716 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 307.717 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 307.717 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 307.717 * * [simplify]: iters left: 6 (19 enodes) 307.726 * * [simplify]: iters left: 5 (64 enodes) 307.746 * * [simplify]: iters left: 4 (88 enodes) 307.775 * * [simplify]: iters left: 3 (153 enodes) 307.822 * * [simplify]: iters left: 2 (280 enodes) 307.917 * * [simplify]: iters left: 1 (460 enodes) 308.108 * * [simplify]: Extracting #0: cost 1 inf + 0 308.108 * * [simplify]: Extracting #1: cost 53 inf + 0 308.109 * * [simplify]: Extracting #2: cost 105 inf + 0 308.109 * * [simplify]: Extracting #3: cost 115 inf + 0 308.109 * * [simplify]: Extracting #4: cost 112 inf + 427 308.110 * * [simplify]: Extracting #5: cost 93 inf + 4213 308.114 * * [simplify]: Extracting #6: cost 47 inf + 23768 308.129 * * [simplify]: Extracting #7: cost 1 inf + 46061 308.150 * * [simplify]: Extracting #8: cost 0 inf + 46624 308.171 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 308.171 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 308.171 * * * * [progress]: [ 574 / 2703 ] simplifiying candidate # 308.172 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 308.172 * * [simplify]: iters left: 6 (15 enodes) 308.180 * * [simplify]: iters left: 5 (55 enodes) 308.198 * * [simplify]: iters left: 4 (72 enodes) 308.225 * * [simplify]: iters left: 3 (116 enodes) 308.252 * * [simplify]: iters left: 2 (170 enodes) 308.300 * * [simplify]: iters left: 1 (229 enodes) 308.372 * * [simplify]: Extracting #0: cost 1 inf + 0 308.372 * * [simplify]: Extracting #1: cost 22 inf + 0 308.372 * * [simplify]: Extracting #2: cost 46 inf + 1 308.372 * * [simplify]: Extracting #3: cost 51 inf + 1 308.373 * * [simplify]: Extracting #4: cost 45 inf + 267 308.373 * * [simplify]: Extracting #5: cost 22 inf + 6143 308.375 * * [simplify]: Extracting #6: cost 3 inf + 12721 308.379 * * [simplify]: Extracting #7: cost 0 inf + 13907 308.382 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2))))) 308.383 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 308.383 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 308.383 * * [simplify]: iters left: 6 (18 enodes) 308.392 * * [simplify]: iters left: 5 (61 enodes) 308.411 * * [simplify]: iters left: 4 (84 enodes) 308.437 * * [simplify]: iters left: 3 (129 enodes) 308.481 * * [simplify]: iters left: 2 (199 enodes) 308.536 * * [simplify]: iters left: 1 (323 enodes) 308.652 * * [simplify]: Extracting #0: cost 1 inf + 0 308.653 * * [simplify]: Extracting #1: cost 41 inf + 0 308.653 * * [simplify]: Extracting #2: cost 95 inf + 0 308.654 * * [simplify]: Extracting #3: cost 110 inf + 84 308.655 * * [simplify]: Extracting #4: cost 94 inf + 2109 308.662 * * [simplify]: Extracting #5: cost 38 inf + 22301 308.675 * * [simplify]: Extracting #6: cost 0 inf + 38673 308.691 * [simplify]: Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))) 308.691 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))))) 308.691 * * * * [progress]: [ 575 / 2703 ] simplifiying candidate # 308.692 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 308.692 * * [simplify]: iters left: 6 (22 enodes) 308.703 * * [simplify]: iters left: 5 (77 enodes) 308.730 * * [simplify]: iters left: 4 (104 enodes) 308.765 * * [simplify]: iters left: 3 (182 enodes) 308.835 * * [simplify]: iters left: 2 (329 enodes) 308.993 * * [simplify]: Extracting #0: cost 1 inf + 0 308.993 * * [simplify]: Extracting #1: cost 54 inf + 0 308.994 * * [simplify]: Extracting #2: cost 104 inf + 1 308.995 * * [simplify]: Extracting #3: cost 111 inf + 1 308.997 * * [simplify]: Extracting #4: cost 105 inf + 790 308.999 * * [simplify]: Extracting #5: cost 84 inf + 8173 309.003 * * [simplify]: Extracting #6: cost 61 inf + 14475 309.008 * * [simplify]: Extracting #7: cost 58 inf + 14881 309.016 * * [simplify]: Extracting #8: cost 44 inf + 22128 309.034 * * [simplify]: Extracting #9: cost 6 inf + 43110 309.054 * * [simplify]: Extracting #10: cost 0 inf + 46392 309.075 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 309.075 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 309.075 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 309.075 * * [simplify]: iters left: 6 (19 enodes) 309.084 * * [simplify]: iters left: 5 (64 enodes) 309.102 * * [simplify]: iters left: 4 (88 enodes) 309.119 * * [simplify]: iters left: 3 (153 enodes) 309.158 * * [simplify]: iters left: 2 (280 enodes) 309.259 * * [simplify]: iters left: 1 (460 enodes) 309.426 * * [simplify]: Extracting #0: cost 1 inf + 0 309.426 * * [simplify]: Extracting #1: cost 53 inf + 0 309.427 * * [simplify]: Extracting #2: cost 105 inf + 0 309.427 * * [simplify]: Extracting #3: cost 115 inf + 0 309.428 * * [simplify]: Extracting #4: cost 112 inf + 427 309.428 * * [simplify]: Extracting #5: cost 93 inf + 4213 309.432 * * [simplify]: Extracting #6: cost 47 inf + 23768 309.447 * * [simplify]: Extracting #7: cost 1 inf + 46061 309.468 * * [simplify]: Extracting #8: cost 0 inf + 46624 309.482 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 309.482 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 309.482 * * * * [progress]: [ 576 / 2703 ] simplifiying candidate # 309.482 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) 1)) 309.482 * * [simplify]: iters left: 6 (15 enodes) 309.487 * * [simplify]: iters left: 5 (53 enodes) 309.497 * * [simplify]: iters left: 4 (70 enodes) 309.511 * * [simplify]: iters left: 3 (114 enodes) 309.553 * * [simplify]: iters left: 2 (168 enodes) 309.622 * * [simplify]: iters left: 1 (227 enodes) 309.724 * * [simplify]: Extracting #0: cost 1 inf + 0 309.724 * * [simplify]: Extracting #1: cost 23 inf + 0 309.724 * * [simplify]: Extracting #2: cost 45 inf + 1 309.724 * * [simplify]: Extracting #3: cost 50 inf + 1 309.724 * * [simplify]: Extracting #4: cost 45 inf + 226 309.725 * * [simplify]: Extracting #5: cost 24 inf + 5277 309.727 * * [simplify]: Extracting #6: cost 1 inf + 13363 309.730 * * [simplify]: Extracting #7: cost 0 inf + 13565 309.732 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cos th)))) 309.732 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 309.733 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 309.733 * * [simplify]: iters left: 6 (18 enodes) 309.737 * * [simplify]: iters left: 5 (61 enodes) 309.751 * * [simplify]: iters left: 4 (84 enodes) 309.778 * * [simplify]: iters left: 3 (129 enodes) 309.816 * * [simplify]: iters left: 2 (199 enodes) 309.862 * * [simplify]: iters left: 1 (323 enodes) 309.979 * * [simplify]: Extracting #0: cost 1 inf + 0 309.979 * * [simplify]: Extracting #1: cost 41 inf + 0 309.979 * * [simplify]: Extracting #2: cost 95 inf + 0 309.980 * * [simplify]: Extracting #3: cost 110 inf + 84 309.980 * * [simplify]: Extracting #4: cost 94 inf + 2109 309.984 * * [simplify]: Extracting #5: cost 38 inf + 22301 309.991 * * [simplify]: Extracting #6: cost 0 inf + 38673 309.998 * [simplify]: Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))) 309.999 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cos th)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))))) 309.999 * * * * [progress]: [ 577 / 2703 ] simplifiying candidate # 309.999 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 309.999 * * [simplify]: iters left: 6 (22 enodes) 310.012 * * [simplify]: iters left: 5 (79 enodes) 310.037 * * [simplify]: iters left: 4 (111 enodes) 310.078 * * [simplify]: iters left: 3 (234 enodes) 310.178 * * [simplify]: Extracting #0: cost 1 inf + 0 310.178 * * [simplify]: Extracting #1: cost 62 inf + 0 310.179 * * [simplify]: Extracting #2: cost 152 inf + 1 310.179 * * [simplify]: Extracting #3: cost 158 inf + 1 310.180 * * [simplify]: Extracting #4: cost 157 inf + 125 310.180 * * [simplify]: Extracting #5: cost 151 inf + 1701 310.182 * * [simplify]: Extracting #6: cost 124 inf + 7369 310.184 * * [simplify]: Extracting #7: cost 95 inf + 18856 310.192 * * [simplify]: Extracting #8: cost 23 inf + 53899 310.214 * * [simplify]: Extracting #9: cost 0 inf + 65482 310.238 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 310.238 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 310.239 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 310.239 * * [simplify]: iters left: 6 (17 enodes) 310.247 * * [simplify]: iters left: 5 (58 enodes) 310.265 * * [simplify]: iters left: 4 (81 enodes) 310.289 * * [simplify]: iters left: 3 (140 enodes) 310.325 * * [simplify]: iters left: 2 (234 enodes) 310.395 * * [simplify]: iters left: 1 (327 enodes) 310.503 * * [simplify]: Extracting #0: cost 1 inf + 0 310.503 * * [simplify]: Extracting #1: cost 38 inf + 0 310.504 * * [simplify]: Extracting #2: cost 74 inf + 0 310.504 * * [simplify]: Extracting #3: cost 81 inf + 0 310.505 * * [simplify]: Extracting #4: cost 78 inf + 387 310.506 * * [simplify]: Extracting #5: cost 62 inf + 3069 310.510 * * [simplify]: Extracting #6: cost 32 inf + 15363 310.522 * * [simplify]: Extracting #7: cost 3 inf + 28293 310.535 * * [simplify]: Extracting #8: cost 0 inf + 29823 310.543 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 310.543 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 310.543 * * * * [progress]: [ 578 / 2703 ] simplifiying candidate # 310.543 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 310.543 * * [simplify]: iters left: 6 (22 enodes) 310.551 * * [simplify]: iters left: 5 (78 enodes) 310.564 * * [simplify]: iters left: 4 (99 enodes) 310.596 * * [simplify]: iters left: 3 (161 enodes) 310.661 * * [simplify]: iters left: 2 (285 enodes) 310.811 * * [simplify]: iters left: 1 (442 enodes) 311.063 * * [simplify]: Extracting #0: cost 1 inf + 0 311.063 * * [simplify]: Extracting #1: cost 24 inf + 0 311.064 * * [simplify]: Extracting #2: cost 49 inf + 1 311.064 * * [simplify]: Extracting #3: cost 56 inf + 1 311.065 * * [simplify]: Extracting #4: cost 54 inf + 226 311.066 * * [simplify]: Extracting #5: cost 42 inf + 3311 311.068 * * [simplify]: Extracting #6: cost 32 inf + 5007 311.071 * * [simplify]: Extracting #7: cost 28 inf + 5413 311.077 * * [simplify]: Extracting #8: cost 7 inf + 14299 311.083 * * [simplify]: Extracting #9: cost 0 inf + 17805 311.088 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 311.088 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 311.089 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 311.089 * * [simplify]: iters left: 6 (18 enodes) 311.093 * * [simplify]: iters left: 5 (61 enodes) 311.103 * * [simplify]: iters left: 4 (84 enodes) 311.126 * * [simplify]: iters left: 3 (143 enodes) 311.178 * * [simplify]: iters left: 2 (237 enodes) 311.257 * * [simplify]: iters left: 1 (330 enodes) 311.330 * * [simplify]: Extracting #0: cost 1 inf + 0 311.330 * * [simplify]: Extracting #1: cost 38 inf + 0 311.331 * * [simplify]: Extracting #2: cost 75 inf + 0 311.331 * * [simplify]: Extracting #3: cost 83 inf + 0 311.331 * * [simplify]: Extracting #4: cost 79 inf + 588 311.332 * * [simplify]: Extracting #5: cost 64 inf + 3410 311.334 * * [simplify]: Extracting #6: cost 30 inf + 15645 311.340 * * [simplify]: Extracting #7: cost 5 inf + 28229 311.347 * * [simplify]: Extracting #8: cost 0 inf + 30947 311.354 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) 311.354 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 311.355 * * * * [progress]: [ 579 / 2703 ] simplifiying candidate # 311.355 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 311.355 * * [simplify]: iters left: 6 (21 enodes) 311.368 * * [simplify]: iters left: 5 (74 enodes) 311.389 * * [simplify]: iters left: 4 (95 enodes) 311.406 * * [simplify]: iters left: 3 (157 enodes) 311.457 * * [simplify]: iters left: 2 (280 enodes) 311.592 * * [simplify]: iters left: 1 (439 enodes) 311.831 * * [simplify]: Extracting #0: cost 1 inf + 0 311.831 * * [simplify]: Extracting #1: cost 24 inf + 0 311.831 * * [simplify]: Extracting #2: cost 48 inf + 1 311.831 * * [simplify]: Extracting #3: cost 54 inf + 1 311.832 * * [simplify]: Extracting #4: cost 51 inf + 267 311.834 * * [simplify]: Extracting #5: cost 41 inf + 3209 311.836 * * [simplify]: Extracting #6: cost 30 inf + 5007 311.837 * * [simplify]: Extracting #7: cost 26 inf + 5373 311.840 * * [simplify]: Extracting #8: cost 12 inf + 10977 311.850 * * [simplify]: Extracting #9: cost 1 inf + 15777 311.861 * * [simplify]: Extracting #10: cost 0 inf + 16241 311.871 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) 311.871 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 311.872 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 311.872 * * [simplify]: iters left: 6 (17 enodes) 311.876 * * [simplify]: iters left: 5 (58 enodes) 311.885 * * [simplify]: iters left: 4 (81 enodes) 311.899 * * [simplify]: iters left: 3 (140 enodes) 311.929 * * [simplify]: iters left: 2 (234 enodes) 312.018 * * [simplify]: iters left: 1 (327 enodes) 312.125 * * [simplify]: Extracting #0: cost 1 inf + 0 312.125 * * [simplify]: Extracting #1: cost 38 inf + 0 312.125 * * [simplify]: Extracting #2: cost 74 inf + 0 312.126 * * [simplify]: Extracting #3: cost 81 inf + 0 312.126 * * [simplify]: Extracting #4: cost 78 inf + 387 312.127 * * [simplify]: Extracting #5: cost 62 inf + 3069 312.130 * * [simplify]: Extracting #6: cost 32 inf + 14923 312.136 * * [simplify]: Extracting #7: cost 3 inf + 26933 312.143 * * [simplify]: Extracting #8: cost 0 inf + 28343 312.149 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 312.149 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 312.149 * * * * [progress]: [ 580 / 2703 ] simplifiying candidate # 312.150 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt 1) (sqrt 1))) 312.150 * * [simplify]: iters left: 6 (14 enodes) 312.160 * * [simplify]: iters left: 5 (52 enodes) 312.178 * * [simplify]: iters left: 4 (67 enodes) 312.198 * * [simplify]: iters left: 3 (93 enodes) 312.233 * * [simplify]: iters left: 2 (144 enodes) 312.291 * * [simplify]: iters left: 1 (181 enodes) 312.364 * * [simplify]: Extracting #0: cost 1 inf + 0 312.364 * * [simplify]: Extracting #1: cost 12 inf + 0 312.364 * * [simplify]: Extracting #2: cost 22 inf + 1 312.364 * * [simplify]: Extracting #3: cost 26 inf + 1 312.365 * * [simplify]: Extracting #4: cost 22 inf + 105 312.365 * * [simplify]: Extracting #5: cost 7 inf + 2867 312.367 * * [simplify]: Extracting #6: cost 0 inf + 4801 312.370 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 312.370 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 312.370 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 312.370 * * [simplify]: iters left: 6 (15 enodes) 312.378 * * [simplify]: iters left: 5 (52 enodes) 312.397 * * [simplify]: iters left: 4 (72 enodes) 312.418 * * [simplify]: iters left: 3 (106 enodes) 312.435 * * [simplify]: iters left: 2 (153 enodes) 312.471 * * [simplify]: iters left: 1 (224 enodes) 312.555 * * [simplify]: Extracting #0: cost 1 inf + 0 312.555 * * [simplify]: Extracting #1: cost 30 inf + 0 312.555 * * [simplify]: Extracting #2: cost 70 inf + 0 312.556 * * [simplify]: Extracting #3: cost 84 inf + 84 312.557 * * [simplify]: Extracting #4: cost 62 inf + 3482 312.562 * * [simplify]: Extracting #5: cost 18 inf + 18667 312.571 * * [simplify]: Extracting #6: cost 0 inf + 25420 312.581 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 312.581 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 312.581 * * * * [progress]: [ 581 / 2703 ] simplifiying candidate # 312.581 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 312.582 * * [simplify]: iters left: 6 (21 enodes) 312.592 * * [simplify]: iters left: 5 (74 enodes) 312.606 * * [simplify]: iters left: 4 (95 enodes) 312.629 * * [simplify]: iters left: 3 (157 enodes) 312.675 * * [simplify]: iters left: 2 (280 enodes) 312.811 * * [simplify]: iters left: 1 (439 enodes) 313.044 * * [simplify]: Extracting #0: cost 1 inf + 0 313.044 * * [simplify]: Extracting #1: cost 24 inf + 0 313.044 * * [simplify]: Extracting #2: cost 48 inf + 1 313.045 * * [simplify]: Extracting #3: cost 54 inf + 1 313.046 * * [simplify]: Extracting #4: cost 51 inf + 267 313.047 * * [simplify]: Extracting #5: cost 41 inf + 3209 313.049 * * [simplify]: Extracting #6: cost 30 inf + 5007 313.054 * * [simplify]: Extracting #7: cost 26 inf + 5373 313.059 * * [simplify]: Extracting #8: cost 12 inf + 10977 313.069 * * [simplify]: Extracting #9: cost 1 inf + 15777 313.080 * * [simplify]: Extracting #10: cost 0 inf + 16241 313.086 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) 313.087 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 313.087 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 313.087 * * [simplify]: iters left: 6 (17 enodes) 313.091 * * [simplify]: iters left: 5 (58 enodes) 313.100 * * [simplify]: iters left: 4 (81 enodes) 313.116 * * [simplify]: iters left: 3 (140 enodes) 313.144 * * [simplify]: iters left: 2 (234 enodes) 313.231 * * [simplify]: iters left: 1 (327 enodes) 313.347 * * [simplify]: Extracting #0: cost 1 inf + 0 313.347 * * [simplify]: Extracting #1: cost 38 inf + 0 313.347 * * [simplify]: Extracting #2: cost 74 inf + 0 313.348 * * [simplify]: Extracting #3: cost 81 inf + 0 313.348 * * [simplify]: Extracting #4: cost 78 inf + 387 313.349 * * [simplify]: Extracting #5: cost 62 inf + 3069 313.351 * * [simplify]: Extracting #6: cost 32 inf + 14923 313.358 * * [simplify]: Extracting #7: cost 3 inf + 26933 313.365 * * [simplify]: Extracting #8: cost 0 inf + 28343 313.371 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 313.371 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 313.372 * * * * [progress]: [ 582 / 2703 ] simplifiying candidate # 313.372 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt 1) 1)) 313.372 * * [simplify]: iters left: 6 (14 enodes) 313.377 * * [simplify]: iters left: 5 (50 enodes) 313.386 * * [simplify]: iters left: 4 (58 enodes) 313.399 * * [simplify]: iters left: 3 (86 enodes) 313.431 * * [simplify]: iters left: 2 (118 enodes) 313.480 * * [simplify]: iters left: 1 (153 enodes) 313.532 * * [simplify]: Extracting #0: cost 1 inf + 0 313.532 * * [simplify]: Extracting #1: cost 12 inf + 0 313.532 * * [simplify]: Extracting #2: cost 22 inf + 1 313.532 * * [simplify]: Extracting #3: cost 26 inf + 1 313.533 * * [simplify]: Extracting #4: cost 22 inf + 105 313.533 * * [simplify]: Extracting #5: cost 9 inf + 2223 313.534 * * [simplify]: Extracting #6: cost 1 inf + 4579 313.535 * * [simplify]: Extracting #7: cost 0 inf + 4801 313.536 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 313.536 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 313.536 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 313.536 * * [simplify]: iters left: 6 (15 enodes) 313.540 * * [simplify]: iters left: 5 (52 enodes) 313.548 * * [simplify]: iters left: 4 (72 enodes) 313.572 * * [simplify]: iters left: 3 (106 enodes) 313.604 * * [simplify]: iters left: 2 (153 enodes) 313.631 * * [simplify]: iters left: 1 (224 enodes) 313.688 * * [simplify]: Extracting #0: cost 1 inf + 0 313.688 * * [simplify]: Extracting #1: cost 30 inf + 0 313.689 * * [simplify]: Extracting #2: cost 70 inf + 0 313.689 * * [simplify]: Extracting #3: cost 84 inf + 84 313.689 * * [simplify]: Extracting #4: cost 62 inf + 3482 313.692 * * [simplify]: Extracting #5: cost 18 inf + 18667 313.697 * * [simplify]: Extracting #6: cost 0 inf + 25420 313.705 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 313.705 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 313.705 * * * * [progress]: [ 583 / 2703 ] simplifiying candidate # 313.706 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 313.706 * * [simplify]: iters left: 6 (23 enodes) 313.718 * * [simplify]: iters left: 5 (86 enodes) 313.747 * * [simplify]: iters left: 4 (147 enodes) 313.801 * * [simplify]: iters left: 3 (382 enodes) 314.026 * * [simplify]: Extracting #0: cost 1 inf + 0 314.026 * * [simplify]: Extracting #1: cost 122 inf + 0 314.027 * * [simplify]: Extracting #2: cost 287 inf + 1 314.028 * * [simplify]: Extracting #3: cost 294 inf + 1 314.030 * * [simplify]: Extracting #4: cost 272 inf + 5454 314.034 * * [simplify]: Extracting #5: cost 227 inf + 24756 314.038 * * [simplify]: Extracting #6: cost 218 inf + 27032 314.043 * * [simplify]: Extracting #7: cost 213 inf + 27560 314.049 * * [simplify]: Extracting #8: cost 190 inf + 40539 314.080 * * [simplify]: Extracting #9: cost 50 inf + 128902 314.122 * * [simplify]: Extracting #10: cost 0 inf + 161402 314.165 * * [simplify]: Extracting #11: cost 0 inf + 161162 314.203 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 314.203 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 314.203 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 314.203 * * [simplify]: iters left: 6 (18 enodes) 314.209 * * [simplify]: iters left: 5 (61 enodes) 314.222 * * [simplify]: iters left: 4 (85 enodes) 314.250 * * [simplify]: iters left: 3 (150 enodes) 314.296 * * [simplify]: iters left: 2 (278 enodes) 314.401 * * [simplify]: iters left: 1 (464 enodes) 314.577 * * [simplify]: Extracting #0: cost 1 inf + 0 314.577 * * [simplify]: Extracting #1: cost 53 inf + 0 314.578 * * [simplify]: Extracting #2: cost 104 inf + 0 314.578 * * [simplify]: Extracting #3: cost 113 inf + 0 314.579 * * [simplify]: Extracting #4: cost 110 inf + 427 314.580 * * [simplify]: Extracting #5: cost 94 inf + 3690 314.583 * * [simplify]: Extracting #6: cost 37 inf + 28617 314.601 * * [simplify]: Extracting #7: cost 2 inf + 47315 314.620 * * [simplify]: Extracting #8: cost 0 inf + 48382 314.631 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 314.631 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 314.631 * * * * [progress]: [ 584 / 2703 ] simplifiying candidate # 314.631 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 314.631 * * [simplify]: iters left: 6 (23 enodes) 314.637 * * [simplify]: iters left: 5 (83 enodes) 314.651 * * [simplify]: iters left: 4 (121 enodes) 314.681 * * [simplify]: iters left: 3 (265 enodes) 314.801 * * [simplify]: Extracting #0: cost 1 inf + 0 314.801 * * [simplify]: Extracting #1: cost 79 inf + 0 314.802 * * [simplify]: Extracting #2: cost 171 inf + 1 314.804 * * [simplify]: Extracting #3: cost 178 inf + 1 314.805 * * [simplify]: Extracting #4: cost 172 inf + 750 314.810 * * [simplify]: Extracting #5: cost 126 inf + 18546 314.817 * * [simplify]: Extracting #6: cost 102 inf + 26691 314.826 * * [simplify]: Extracting #7: cost 93 inf + 30355 314.850 * * [simplify]: Extracting #8: cost 20 inf + 74706 314.873 * * [simplify]: Extracting #9: cost 0 inf + 86502 314.889 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2)))) 314.889 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 314.890 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 314.890 * * [simplify]: iters left: 6 (19 enodes) 314.900 * * [simplify]: iters left: 5 (64 enodes) 314.917 * * [simplify]: iters left: 4 (88 enodes) 314.931 * * [simplify]: iters left: 3 (153 enodes) 314.978 * * [simplify]: iters left: 2 (280 enodes) 315.065 * * [simplify]: iters left: 1 (460 enodes) 315.265 * * [simplify]: Extracting #0: cost 1 inf + 0 315.265 * * [simplify]: Extracting #1: cost 53 inf + 0 315.266 * * [simplify]: Extracting #2: cost 105 inf + 0 315.267 * * [simplify]: Extracting #3: cost 115 inf + 0 315.268 * * [simplify]: Extracting #4: cost 113 inf + 366 315.269 * * [simplify]: Extracting #5: cost 97 inf + 3287 315.276 * * [simplify]: Extracting #6: cost 44 inf + 26241 315.289 * * [simplify]: Extracting #7: cost 0 inf + 49746 315.301 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 315.301 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2)))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 315.301 * * * * [progress]: [ 585 / 2703 ] simplifiying candidate # 315.301 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 315.301 * * [simplify]: iters left: 6 (22 enodes) 315.307 * * [simplify]: iters left: 5 (79 enodes) 315.322 * * [simplify]: iters left: 4 (117 enodes) 315.359 * * [simplify]: iters left: 3 (261 enodes) 315.480 * * [simplify]: Extracting #0: cost 1 inf + 0 315.480 * * [simplify]: Extracting #1: cost 79 inf + 0 315.481 * * [simplify]: Extracting #2: cost 170 inf + 1 315.481 * * [simplify]: Extracting #3: cost 176 inf + 1 315.482 * * [simplify]: Extracting #4: cost 171 inf + 629 315.484 * * [simplify]: Extracting #5: cost 132 inf + 15025 315.488 * * [simplify]: Extracting #6: cost 98 inf + 27114 315.491 * * [simplify]: Extracting #7: cost 95 inf + 27560 315.499 * * [simplify]: Extracting #8: cost 85 inf + 32834 315.517 * * [simplify]: Extracting #9: cost 19 inf + 70843 315.535 * * [simplify]: Extracting #10: cost 0 inf + 82178 315.551 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 315.552 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 315.552 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 315.552 * * [simplify]: iters left: 6 (18 enodes) 315.557 * * [simplify]: iters left: 5 (61 enodes) 315.571 * * [simplify]: iters left: 4 (85 enodes) 315.598 * * [simplify]: iters left: 3 (150 enodes) 315.638 * * [simplify]: iters left: 2 (278 enodes) 315.739 * * [simplify]: iters left: 1 (464 enodes) 315.934 * * [simplify]: Extracting #0: cost 1 inf + 0 315.934 * * [simplify]: Extracting #1: cost 53 inf + 0 315.935 * * [simplify]: Extracting #2: cost 104 inf + 0 315.936 * * [simplify]: Extracting #3: cost 113 inf + 0 315.937 * * [simplify]: Extracting #4: cost 110 inf + 427 315.938 * * [simplify]: Extracting #5: cost 94 inf + 3690 315.942 * * [simplify]: Extracting #6: cost 37 inf + 27617 315.954 * * [simplify]: Extracting #7: cost 2 inf + 45235 315.965 * * [simplify]: Extracting #8: cost 0 inf + 46262 315.975 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 315.976 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 315.976 * * * * [progress]: [ 586 / 2703 ] simplifiying candidate # 315.976 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 315.976 * * [simplify]: iters left: 6 (15 enodes) 315.983 * * [simplify]: iters left: 5 (57 enodes) 315.993 * * [simplify]: iters left: 4 (85 enodes) 316.010 * * [simplify]: iters left: 3 (185 enodes) 316.089 * * [simplify]: iters left: 2 (389 enodes) 316.354 * * [simplify]: Extracting #0: cost 1 inf + 0 316.355 * * [simplify]: Extracting #1: cost 44 inf + 0 316.355 * * [simplify]: Extracting #2: cost 86 inf + 1 316.355 * * [simplify]: Extracting #3: cost 90 inf + 1 316.356 * * [simplify]: Extracting #4: cost 86 inf + 105 316.357 * * [simplify]: Extracting #5: cost 70 inf + 3210 316.359 * * [simplify]: Extracting #6: cost 37 inf + 15691 316.364 * * [simplify]: Extracting #7: cost 4 inf + 28300 316.371 * * [simplify]: Extracting #8: cost 0 inf + 29568 316.383 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) 316.383 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 316.384 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 316.384 * * [simplify]: iters left: 6 (17 enodes) 316.392 * * [simplify]: iters left: 5 (58 enodes) 316.407 * * [simplify]: iters left: 4 (81 enodes) 316.422 * * [simplify]: iters left: 3 (126 enodes) 316.460 * * [simplify]: iters left: 2 (196 enodes) 316.513 * * [simplify]: iters left: 1 (320 enodes) 316.612 * * [simplify]: Extracting #0: cost 1 inf + 0 316.612 * * [simplify]: Extracting #1: cost 41 inf + 0 316.612 * * [simplify]: Extracting #2: cost 94 inf + 0 316.613 * * [simplify]: Extracting #3: cost 108 inf + 84 316.613 * * [simplify]: Extracting #4: cost 89 inf + 2493 316.616 * * [simplify]: Extracting #5: cost 39 inf + 21359 316.623 * * [simplify]: Extracting #6: cost 2 inf + 37265 316.633 * * [simplify]: Extracting #7: cost 0 inf + 38231 316.647 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) 316.647 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))))) 316.647 * * * * [progress]: [ 587 / 2703 ] simplifiying candidate # 316.647 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 316.647 * * [simplify]: iters left: 6 (22 enodes) 316.653 * * [simplify]: iters left: 5 (79 enodes) 316.667 * * [simplify]: iters left: 4 (117 enodes) 316.706 * * [simplify]: iters left: 3 (261 enodes) 316.816 * * [simplify]: Extracting #0: cost 1 inf + 0 316.816 * * [simplify]: Extracting #1: cost 79 inf + 0 316.817 * * [simplify]: Extracting #2: cost 170 inf + 1 316.818 * * [simplify]: Extracting #3: cost 176 inf + 1 316.818 * * [simplify]: Extracting #4: cost 171 inf + 629 316.820 * * [simplify]: Extracting #5: cost 132 inf + 15025 316.824 * * [simplify]: Extracting #6: cost 98 inf + 27114 316.830 * * [simplify]: Extracting #7: cost 95 inf + 27560 316.839 * * [simplify]: Extracting #8: cost 85 inf + 32834 316.851 * * [simplify]: Extracting #9: cost 19 inf + 70843 316.869 * * [simplify]: Extracting #10: cost 0 inf + 82178 316.900 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 316.900 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 316.901 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 316.901 * * [simplify]: iters left: 6 (18 enodes) 316.910 * * [simplify]: iters left: 5 (61 enodes) 316.928 * * [simplify]: iters left: 4 (85 enodes) 316.952 * * [simplify]: iters left: 3 (150 enodes) 316.989 * * [simplify]: iters left: 2 (278 enodes) 317.087 * * [simplify]: iters left: 1 (464 enodes) 317.285 * * [simplify]: Extracting #0: cost 1 inf + 0 317.285 * * [simplify]: Extracting #1: cost 53 inf + 0 317.285 * * [simplify]: Extracting #2: cost 104 inf + 0 317.286 * * [simplify]: Extracting #3: cost 113 inf + 0 317.286 * * [simplify]: Extracting #4: cost 110 inf + 427 317.287 * * [simplify]: Extracting #5: cost 94 inf + 3690 317.291 * * [simplify]: Extracting #6: cost 37 inf + 27617 317.301 * * [simplify]: Extracting #7: cost 2 inf + 45235 317.314 * * [simplify]: Extracting #8: cost 0 inf + 46262 317.337 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 317.337 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 317.337 * * * * [progress]: [ 588 / 2703 ] simplifiying candidate # 317.338 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 317.338 * * [simplify]: iters left: 6 (15 enodes) 317.342 * * [simplify]: iters left: 5 (55 enodes) 317.353 * * [simplify]: iters left: 4 (92 enodes) 317.372 * * [simplify]: iters left: 3 (203 enodes) 317.474 * * [simplify]: iters left: 2 (428 enodes) 317.678 * * [simplify]: Extracting #0: cost 1 inf + 0 317.679 * * [simplify]: Extracting #1: cost 50 inf + 0 317.679 * * [simplify]: Extracting #2: cost 94 inf + 1 317.679 * * [simplify]: Extracting #3: cost 98 inf + 1 317.680 * * [simplify]: Extracting #4: cost 89 inf + 650 317.682 * * [simplify]: Extracting #5: cost 36 inf + 18309 317.690 * * [simplify]: Extracting #6: cost 1 inf + 32242 317.704 * * [simplify]: Extracting #7: cost 0 inf + 32584 317.719 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) 317.720 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 317.720 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 317.720 * * [simplify]: iters left: 6 (17 enodes) 317.729 * * [simplify]: iters left: 5 (58 enodes) 317.747 * * [simplify]: iters left: 4 (81 enodes) 317.773 * * [simplify]: iters left: 3 (126 enodes) 317.815 * * [simplify]: iters left: 2 (196 enodes) 317.873 * * [simplify]: iters left: 1 (320 enodes) 317.953 * * [simplify]: Extracting #0: cost 1 inf + 0 317.953 * * [simplify]: Extracting #1: cost 41 inf + 0 317.954 * * [simplify]: Extracting #2: cost 94 inf + 0 317.954 * * [simplify]: Extracting #3: cost 108 inf + 84 317.955 * * [simplify]: Extracting #4: cost 89 inf + 2493 317.958 * * [simplify]: Extracting #5: cost 39 inf + 21359 317.970 * * [simplify]: Extracting #6: cost 2 inf + 37265 317.981 * * [simplify]: Extracting #7: cost 0 inf + 38231 317.989 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) 317.989 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))))) 317.989 * * * * [progress]: [ 589 / 2703 ] simplifiying candidate # 317.989 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 317.989 * * [simplify]: iters left: 6 (22 enodes) 317.995 * * [simplify]: iters left: 5 (79 enodes) 318.010 * * [simplify]: iters left: 4 (114 enodes) 318.032 * * [simplify]: iters left: 3 (228 enodes) 318.109 * * [simplify]: Extracting #0: cost 1 inf + 0 318.110 * * [simplify]: Extracting #1: cost 62 inf + 0 318.110 * * [simplify]: Extracting #2: cost 134 inf + 1 318.111 * * [simplify]: Extracting #3: cost 141 inf + 1 318.111 * * [simplify]: Extracting #4: cost 136 inf + 689 318.112 * * [simplify]: Extracting #5: cost 113 inf + 8615 318.114 * * [simplify]: Extracting #6: cost 101 inf + 10854 318.116 * * [simplify]: Extracting #7: cost 82 inf + 18391 318.125 * * [simplify]: Extracting #8: cost 19 inf + 54563 318.145 * * [simplify]: Extracting #9: cost 0 inf + 65918 318.170 * * [simplify]: Extracting #10: cost 0 inf + 65878 318.184 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 318.184 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 318.184 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 318.184 * * [simplify]: iters left: 6 (18 enodes) 318.191 * * [simplify]: iters left: 5 (61 enodes) 318.201 * * [simplify]: iters left: 4 (85 enodes) 318.215 * * [simplify]: iters left: 3 (150 enodes) 318.244 * * [simplify]: iters left: 2 (278 enodes) 318.333 * * [simplify]: iters left: 1 (464 enodes) 318.482 * * [simplify]: Extracting #0: cost 1 inf + 0 318.482 * * [simplify]: Extracting #1: cost 53 inf + 0 318.483 * * [simplify]: Extracting #2: cost 104 inf + 0 318.483 * * [simplify]: Extracting #3: cost 113 inf + 0 318.484 * * [simplify]: Extracting #4: cost 110 inf + 427 318.485 * * [simplify]: Extracting #5: cost 94 inf + 3450 318.488 * * [simplify]: Extracting #6: cost 37 inf + 27137 318.499 * * [simplify]: Extracting #7: cost 2 inf + 44915 318.509 * * [simplify]: Extracting #8: cost 0 inf + 45942 318.522 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 318.522 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 318.522 * * * * [progress]: [ 590 / 2703 ] simplifiying candidate # 318.523 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 318.523 * * [simplify]: iters left: 6 (22 enodes) 318.534 * * [simplify]: iters left: 5 (78 enodes) 318.558 * * [simplify]: iters left: 4 (105 enodes) 318.579 * * [simplify]: iters left: 3 (183 enodes) 318.649 * * [simplify]: iters left: 2 (332 enodes) 318.825 * * [simplify]: Extracting #0: cost 1 inf + 0 318.825 * * [simplify]: Extracting #1: cost 55 inf + 0 318.826 * * [simplify]: Extracting #2: cost 106 inf + 1 318.827 * * [simplify]: Extracting #3: cost 113 inf + 1 318.828 * * [simplify]: Extracting #4: cost 107 inf + 790 318.830 * * [simplify]: Extracting #5: cost 83 inf + 9482 318.833 * * [simplify]: Extracting #6: cost 62 inf + 14040 318.836 * * [simplify]: Extracting #7: cost 45 inf + 22938 318.845 * * [simplify]: Extracting #8: cost 8 inf + 43631 318.857 * * [simplify]: Extracting #9: cost 0 inf + 48241 318.878 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 318.878 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 318.878 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 318.879 * * [simplify]: iters left: 6 (19 enodes) 318.888 * * [simplify]: iters left: 5 (64 enodes) 318.907 * * [simplify]: iters left: 4 (88 enodes) 318.936 * * [simplify]: iters left: 3 (153 enodes) 318.972 * * [simplify]: iters left: 2 (280 enodes) 319.089 * * [simplify]: iters left: 1 (460 enodes) 319.313 * * [simplify]: Extracting #0: cost 1 inf + 0 319.313 * * [simplify]: Extracting #1: cost 53 inf + 0 319.314 * * [simplify]: Extracting #2: cost 105 inf + 0 319.314 * * [simplify]: Extracting #3: cost 115 inf + 0 319.315 * * [simplify]: Extracting #4: cost 113 inf + 366 319.315 * * [simplify]: Extracting #5: cost 97 inf + 3047 319.319 * * [simplify]: Extracting #6: cost 44 inf + 24881 319.329 * * [simplify]: Extracting #7: cost 0 inf + 47306 319.353 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 319.353 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 319.353 * * * * [progress]: [ 591 / 2703 ] simplifiying candidate # 319.354 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 319.354 * * [simplify]: iters left: 6 (21 enodes) 319.365 * * [simplify]: iters left: 5 (74 enodes) 319.389 * * [simplify]: iters left: 4 (101 enodes) 319.413 * * [simplify]: iters left: 3 (179 enodes) 319.458 * * [simplify]: iters left: 2 (326 enodes) 319.579 * * [simplify]: Extracting #0: cost 1 inf + 0 319.579 * * [simplify]: Extracting #1: cost 54 inf + 0 319.580 * * [simplify]: Extracting #2: cost 103 inf + 1 319.580 * * [simplify]: Extracting #3: cost 109 inf + 1 319.581 * * [simplify]: Extracting #4: cost 102 inf + 911 319.582 * * [simplify]: Extracting #5: cost 82 inf + 7955 319.584 * * [simplify]: Extracting #6: cost 60 inf + 13295 319.587 * * [simplify]: Extracting #7: cost 53 inf + 16155 319.595 * * [simplify]: Extracting #8: cost 12 inf + 37846 319.611 * * [simplify]: Extracting #9: cost 0 inf + 44310 319.628 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) 319.628 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 319.629 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 319.629 * * [simplify]: iters left: 6 (18 enodes) 319.633 * * [simplify]: iters left: 5 (61 enodes) 319.643 * * [simplify]: iters left: 4 (85 enodes) 319.660 * * [simplify]: iters left: 3 (150 enodes) 319.689 * * [simplify]: iters left: 2 (278 enodes) 319.776 * * [simplify]: iters left: 1 (464 enodes) 319.993 * * [simplify]: Extracting #0: cost 1 inf + 0 319.993 * * [simplify]: Extracting #1: cost 53 inf + 0 319.994 * * [simplify]: Extracting #2: cost 104 inf + 0 319.995 * * [simplify]: Extracting #3: cost 113 inf + 0 319.996 * * [simplify]: Extracting #4: cost 110 inf + 427 319.997 * * [simplify]: Extracting #5: cost 94 inf + 3450 320.006 * * [simplify]: Extracting #6: cost 37 inf + 26137 320.026 * * [simplify]: Extracting #7: cost 2 inf + 42835 320.047 * * [simplify]: Extracting #8: cost 0 inf + 43822 320.061 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 320.061 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 320.061 * * * * [progress]: [ 592 / 2703 ] simplifiying candidate # 320.061 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 320.061 * * [simplify]: iters left: 6 (14 enodes) 320.066 * * [simplify]: iters left: 5 (52 enodes) 320.075 * * [simplify]: iters left: 4 (69 enodes) 320.089 * * [simplify]: iters left: 3 (113 enodes) 320.132 * * [simplify]: iters left: 2 (169 enodes) 320.196 * * [simplify]: iters left: 1 (228 enodes) 320.283 * * [simplify]: Extracting #0: cost 1 inf + 0 320.283 * * [simplify]: Extracting #1: cost 23 inf + 0 320.283 * * [simplify]: Extracting #2: cost 44 inf + 1 320.284 * * [simplify]: Extracting #3: cost 48 inf + 1 320.284 * * [simplify]: Extracting #4: cost 43 inf + 226 320.286 * * [simplify]: Extracting #5: cost 15 inf + 7614 320.290 * * [simplify]: Extracting #6: cost 1 inf + 12021 320.295 * * [simplify]: Extracting #7: cost 0 inf + 12443 320.300 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (cos th)))) 320.300 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 320.301 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 320.301 * * [simplify]: iters left: 6 (17 enodes) 320.310 * * [simplify]: iters left: 5 (58 enodes) 320.328 * * [simplify]: iters left: 4 (81 enodes) 320.357 * * [simplify]: iters left: 3 (126 enodes) 320.399 * * [simplify]: iters left: 2 (196 enodes) 320.481 * * [simplify]: iters left: 1 (320 enodes) 320.623 * * [simplify]: Extracting #0: cost 1 inf + 0 320.623 * * [simplify]: Extracting #1: cost 41 inf + 0 320.624 * * [simplify]: Extracting #2: cost 94 inf + 0 320.624 * * [simplify]: Extracting #3: cost 108 inf + 84 320.626 * * [simplify]: Extracting #4: cost 89 inf + 2493 320.631 * * [simplify]: Extracting #5: cost 39 inf + 20479 320.645 * * [simplify]: Extracting #6: cost 2 inf + 35145 320.659 * * [simplify]: Extracting #7: cost 0 inf + 36031 320.673 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) 320.674 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))))) 320.674 * * * * [progress]: [ 593 / 2703 ] simplifiying candidate # 320.674 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 320.674 * * [simplify]: iters left: 6 (21 enodes) 320.685 * * [simplify]: iters left: 5 (74 enodes) 320.700 * * [simplify]: iters left: 4 (101 enodes) 320.720 * * [simplify]: iters left: 3 (179 enodes) 320.771 * * [simplify]: iters left: 2 (326 enodes) 320.933 * * [simplify]: Extracting #0: cost 1 inf + 0 320.933 * * [simplify]: Extracting #1: cost 54 inf + 0 320.934 * * [simplify]: Extracting #2: cost 103 inf + 1 320.935 * * [simplify]: Extracting #3: cost 109 inf + 1 320.936 * * [simplify]: Extracting #4: cost 102 inf + 911 320.939 * * [simplify]: Extracting #5: cost 82 inf + 7955 320.944 * * [simplify]: Extracting #6: cost 60 inf + 13295 320.949 * * [simplify]: Extracting #7: cost 53 inf + 16155 320.966 * * [simplify]: Extracting #8: cost 12 inf + 37846 320.985 * * [simplify]: Extracting #9: cost 0 inf + 44310 321.000 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) 321.000 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 321.001 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 321.001 * * [simplify]: iters left: 6 (18 enodes) 321.005 * * [simplify]: iters left: 5 (61 enodes) 321.015 * * [simplify]: iters left: 4 (85 enodes) 321.034 * * [simplify]: iters left: 3 (150 enodes) 321.082 * * [simplify]: iters left: 2 (278 enodes) 321.191 * * [simplify]: iters left: 1 (464 enodes) 321.396 * * [simplify]: Extracting #0: cost 1 inf + 0 321.396 * * [simplify]: Extracting #1: cost 53 inf + 0 321.397 * * [simplify]: Extracting #2: cost 104 inf + 0 321.397 * * [simplify]: Extracting #3: cost 113 inf + 0 321.398 * * [simplify]: Extracting #4: cost 110 inf + 427 321.398 * * [simplify]: Extracting #5: cost 94 inf + 3450 321.402 * * [simplify]: Extracting #6: cost 37 inf + 26137 321.413 * * [simplify]: Extracting #7: cost 2 inf + 42835 321.423 * * [simplify]: Extracting #8: cost 0 inf + 43822 321.436 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 321.436 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 321.436 * * * * [progress]: [ 594 / 2703 ] simplifiying candidate # 321.436 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) 1)) 321.437 * * [simplify]: iters left: 6 (14 enodes) 321.441 * * [simplify]: iters left: 5 (50 enodes) 321.458 * * [simplify]: iters left: 4 (67 enodes) 321.480 * * [simplify]: iters left: 3 (111 enodes) 321.522 * * [simplify]: iters left: 2 (168 enodes) 321.567 * * [simplify]: iters left: 1 (227 enodes) 321.637 * * [simplify]: Extracting #0: cost 1 inf + 0 321.637 * * [simplify]: Extracting #1: cost 23 inf + 0 321.638 * * [simplify]: Extracting #2: cost 44 inf + 1 321.638 * * [simplify]: Extracting #3: cost 48 inf + 1 321.639 * * [simplify]: Extracting #4: cost 43 inf + 226 321.641 * * [simplify]: Extracting #5: cost 17 inf + 6649 321.645 * * [simplify]: Extracting #6: cost 1 inf + 12021 321.650 * * [simplify]: Extracting #7: cost 0 inf + 12443 321.655 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 321.655 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 321.656 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 321.656 * * [simplify]: iters left: 6 (17 enodes) 321.664 * * [simplify]: iters left: 5 (58 enodes) 321.682 * * [simplify]: iters left: 4 (81 enodes) 321.708 * * [simplify]: iters left: 3 (126 enodes) 321.750 * * [simplify]: iters left: 2 (196 enodes) 321.816 * * [simplify]: iters left: 1 (320 enodes) 321.919 * * [simplify]: Extracting #0: cost 1 inf + 0 321.919 * * [simplify]: Extracting #1: cost 41 inf + 0 321.920 * * [simplify]: Extracting #2: cost 94 inf + 0 321.921 * * [simplify]: Extracting #3: cost 108 inf + 84 321.922 * * [simplify]: Extracting #4: cost 89 inf + 2493 321.927 * * [simplify]: Extracting #5: cost 39 inf + 20479 321.937 * * [simplify]: Extracting #6: cost 2 inf + 35145 321.944 * * [simplify]: Extracting #7: cost 0 inf + 36031 321.951 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) 321.951 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))))) 321.952 * * * * [progress]: [ 595 / 2703 ] simplifiying candidate # 321.952 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 321.952 * * [simplify]: iters left: 6 (21 enodes) 321.959 * * [simplify]: iters left: 5 (76 enodes) 321.983 * * [simplify]: iters left: 4 (107 enodes) 322.021 * * [simplify]: iters left: 3 (210 enodes) 322.115 * * [simplify]: Extracting #0: cost 1 inf + 0 322.116 * * [simplify]: Extracting #1: cost 72 inf + 0 322.116 * * [simplify]: Extracting #2: cost 153 inf + 1 322.117 * * [simplify]: Extracting #3: cost 159 inf + 1 322.117 * * [simplify]: Extracting #4: cost 156 inf + 287 322.118 * * [simplify]: Extracting #5: cost 144 inf + 3614 322.119 * * [simplify]: Extracting #6: cost 117 inf + 9827 322.123 * * [simplify]: Extracting #7: cost 76 inf + 28642 322.137 * * [simplify]: Extracting #8: cost 6 inf + 63846 322.150 * * [simplify]: Extracting #9: cost 0 inf + 67110 322.162 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 322.162 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 322.163 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 322.163 * * [simplify]: iters left: 6 (17 enodes) 322.167 * * [simplify]: iters left: 5 (58 enodes) 322.177 * * [simplify]: iters left: 4 (81 enodes) 322.191 * * [simplify]: iters left: 3 (140 enodes) 322.234 * * [simplify]: iters left: 2 (234 enodes) 322.314 * * [simplify]: iters left: 1 (327 enodes) 322.411 * * [simplify]: Extracting #0: cost 1 inf + 0 322.411 * * [simplify]: Extracting #1: cost 38 inf + 0 322.411 * * [simplify]: Extracting #2: cost 74 inf + 0 322.411 * * [simplify]: Extracting #3: cost 81 inf + 0 322.412 * * [simplify]: Extracting #4: cost 78 inf + 387 322.412 * * [simplify]: Extracting #5: cost 62 inf + 3069 322.416 * * [simplify]: Extracting #6: cost 32 inf + 15363 322.425 * * [simplify]: Extracting #7: cost 3 inf + 28293 322.438 * * [simplify]: Extracting #8: cost 0 inf + 29823 322.448 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 322.448 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 322.448 * * * * [progress]: [ 596 / 2703 ] simplifiying candidate # 322.449 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 322.449 * * [simplify]: iters left: 6 (21 enodes) 322.455 * * [simplify]: iters left: 5 (75 enodes) 322.467 * * [simplify]: iters left: 4 (98 enodes) 322.495 * * [simplify]: iters left: 3 (162 enodes) 322.543 * * [simplify]: iters left: 2 (292 enodes) 322.703 * * [simplify]: iters left: 1 (454 enodes) 323.013 * * [simplify]: Extracting #0: cost 1 inf + 0 323.013 * * [simplify]: Extracting #1: cost 24 inf + 0 323.014 * * [simplify]: Extracting #2: cost 49 inf + 1 323.015 * * [simplify]: Extracting #3: cost 56 inf + 1 323.015 * * [simplify]: Extracting #4: cost 54 inf + 146 323.016 * * [simplify]: Extracting #5: cost 44 inf + 2947 323.019 * * [simplify]: Extracting #6: cost 30 inf + 5250 323.024 * * [simplify]: Extracting #7: cost 9 inf + 13552 323.030 * * [simplify]: Extracting #8: cost 0 inf + 17805 323.036 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 323.036 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 323.036 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 323.036 * * [simplify]: iters left: 6 (18 enodes) 323.041 * * [simplify]: iters left: 5 (61 enodes) 323.054 * * [simplify]: iters left: 4 (84 enodes) 323.082 * * [simplify]: iters left: 3 (143 enodes) 323.113 * * [simplify]: iters left: 2 (237 enodes) 323.186 * * [simplify]: iters left: 1 (330 enodes) 323.322 * * [simplify]: Extracting #0: cost 1 inf + 0 323.322 * * [simplify]: Extracting #1: cost 38 inf + 0 323.322 * * [simplify]: Extracting #2: cost 75 inf + 0 323.322 * * [simplify]: Extracting #3: cost 83 inf + 0 323.323 * * [simplify]: Extracting #4: cost 79 inf + 588 323.323 * * [simplify]: Extracting #5: cost 64 inf + 3410 323.325 * * [simplify]: Extracting #6: cost 30 inf + 15645 323.331 * * [simplify]: Extracting #7: cost 5 inf + 28229 323.338 * * [simplify]: Extracting #8: cost 0 inf + 30947 323.346 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) 323.346 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 323.346 * * * * [progress]: [ 597 / 2703 ] simplifiying candidate # 323.346 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 323.347 * * [simplify]: iters left: 6 (20 enodes) 323.360 * * [simplify]: iters left: 5 (71 enodes) 323.383 * * [simplify]: iters left: 4 (94 enodes) 323.414 * * [simplify]: iters left: 3 (158 enodes) 323.467 * * [simplify]: iters left: 2 (289 enodes) 323.664 * * [simplify]: iters left: 1 (449 enodes) 323.929 * * [simplify]: Extracting #0: cost 1 inf + 0 323.929 * * [simplify]: Extracting #1: cost 24 inf + 0 323.930 * * [simplify]: Extracting #2: cost 48 inf + 1 323.931 * * [simplify]: Extracting #3: cost 54 inf + 1 323.931 * * [simplify]: Extracting #4: cost 52 inf + 226 323.933 * * [simplify]: Extracting #5: cost 43 inf + 2605 323.935 * * [simplify]: Extracting #6: cost 27 inf + 5251 323.938 * * [simplify]: Extracting #7: cost 21 inf + 7209 323.946 * * [simplify]: Extracting #8: cost 3 inf + 15031 323.957 * * [simplify]: Extracting #9: cost 0 inf + 16241 323.967 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) 323.968 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 323.968 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 323.968 * * [simplify]: iters left: 6 (17 enodes) 323.976 * * [simplify]: iters left: 5 (58 enodes) 323.994 * * [simplify]: iters left: 4 (81 enodes) 324.021 * * [simplify]: iters left: 3 (140 enodes) 324.074 * * [simplify]: iters left: 2 (234 enodes) 324.151 * * [simplify]: iters left: 1 (327 enodes) 324.244 * * [simplify]: Extracting #0: cost 1 inf + 0 324.244 * * [simplify]: Extracting #1: cost 38 inf + 0 324.245 * * [simplify]: Extracting #2: cost 74 inf + 0 324.245 * * [simplify]: Extracting #3: cost 81 inf + 0 324.245 * * [simplify]: Extracting #4: cost 78 inf + 387 324.246 * * [simplify]: Extracting #5: cost 62 inf + 3069 324.250 * * [simplify]: Extracting #6: cost 32 inf + 14923 324.261 * * [simplify]: Extracting #7: cost 3 inf + 26933 324.274 * * [simplify]: Extracting #8: cost 0 inf + 28343 324.287 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 324.288 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 324.288 * * * * [progress]: [ 598 / 2703 ] simplifiying candidate # 324.288 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ 1 (sqrt 1))) 324.289 * * [simplify]: iters left: 6 (13 enodes) 324.297 * * [simplify]: iters left: 5 (49 enodes) 324.307 * * [simplify]: iters left: 4 (66 enodes) 324.317 * * [simplify]: iters left: 3 (89 enodes) 324.349 * * [simplify]: iters left: 2 (139 enodes) 324.395 * * [simplify]: iters left: 1 (174 enodes) 324.442 * * [simplify]: Extracting #0: cost 1 inf + 0 324.442 * * [simplify]: Extracting #1: cost 12 inf + 0 324.442 * * [simplify]: Extracting #2: cost 22 inf + 1 324.442 * * [simplify]: Extracting #3: cost 26 inf + 1 324.443 * * [simplify]: Extracting #4: cost 18 inf + 490 324.444 * * [simplify]: Extracting #5: cost 4 inf + 3713 324.446 * * [simplify]: Extracting #6: cost 0 inf + 4801 324.447 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) 324.447 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 324.447 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 324.447 * * [simplify]: iters left: 6 (15 enodes) 324.451 * * [simplify]: iters left: 5 (52 enodes) 324.459 * * [simplify]: iters left: 4 (72 enodes) 324.471 * * [simplify]: iters left: 3 (106 enodes) 324.497 * * [simplify]: iters left: 2 (153 enodes) 324.550 * * [simplify]: iters left: 1 (224 enodes) 324.612 * * [simplify]: Extracting #0: cost 1 inf + 0 324.612 * * [simplify]: Extracting #1: cost 30 inf + 0 324.612 * * [simplify]: Extracting #2: cost 70 inf + 0 324.613 * * [simplify]: Extracting #3: cost 84 inf + 84 324.614 * * [simplify]: Extracting #4: cost 62 inf + 3482 324.619 * * [simplify]: Extracting #5: cost 18 inf + 18667 324.629 * * [simplify]: Extracting #6: cost 0 inf + 25420 324.638 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 324.638 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 324.638 * * * * [progress]: [ 599 / 2703 ] simplifiying candidate # 324.638 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 324.639 * * [simplify]: iters left: 6 (20 enodes) 324.652 * * [simplify]: iters left: 5 (71 enodes) 324.675 * * [simplify]: iters left: 4 (94 enodes) 324.695 * * [simplify]: iters left: 3 (158 enodes) 324.757 * * [simplify]: iters left: 2 (289 enodes) 324.949 * * [simplify]: iters left: 1 (449 enodes) 325.183 * * [simplify]: Extracting #0: cost 1 inf + 0 325.183 * * [simplify]: Extracting #1: cost 24 inf + 0 325.184 * * [simplify]: Extracting #2: cost 48 inf + 1 325.184 * * [simplify]: Extracting #3: cost 54 inf + 1 325.185 * * [simplify]: Extracting #4: cost 52 inf + 226 325.186 * * [simplify]: Extracting #5: cost 43 inf + 2605 325.189 * * [simplify]: Extracting #6: cost 27 inf + 5251 325.192 * * [simplify]: Extracting #7: cost 21 inf + 7209 325.200 * * [simplify]: Extracting #8: cost 3 inf + 15031 325.211 * * [simplify]: Extracting #9: cost 0 inf + 16241 325.222 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) 325.222 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 325.222 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 325.223 * * [simplify]: iters left: 6 (17 enodes) 325.231 * * [simplify]: iters left: 5 (58 enodes) 325.250 * * [simplify]: iters left: 4 (81 enodes) 325.276 * * [simplify]: iters left: 3 (140 enodes) 325.319 * * [simplify]: iters left: 2 (234 enodes) 325.390 * * [simplify]: iters left: 1 (327 enodes) 325.525 * * [simplify]: Extracting #0: cost 1 inf + 0 325.525 * * [simplify]: Extracting #1: cost 38 inf + 0 325.526 * * [simplify]: Extracting #2: cost 74 inf + 0 325.526 * * [simplify]: Extracting #3: cost 81 inf + 0 325.527 * * [simplify]: Extracting #4: cost 78 inf + 387 325.528 * * [simplify]: Extracting #5: cost 62 inf + 3069 325.533 * * [simplify]: Extracting #6: cost 32 inf + 14923 325.539 * * [simplify]: Extracting #7: cost 3 inf + 26933 325.546 * * [simplify]: Extracting #8: cost 0 inf + 28343 325.552 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 325.552 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 325.553 * * * * [progress]: [ 600 / 2703 ] simplifiying candidate # 325.553 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ 1 1)) 325.553 * * [simplify]: iters left: 6 (13 enodes) 325.557 * * [simplify]: iters left: 5 (45 enodes) 325.565 * * [simplify]: iters left: 4 (56 enodes) 325.577 * * [simplify]: iters left: 3 (82 enodes) 325.609 * * [simplify]: iters left: 2 (113 enodes) 325.635 * * [simplify]: iters left: 1 (143 enodes) 325.688 * * [simplify]: Extracting #0: cost 1 inf + 0 325.688 * * [simplify]: Extracting #1: cost 12 inf + 0 325.688 * * [simplify]: Extracting #2: cost 22 inf + 1 325.688 * * [simplify]: Extracting #3: cost 26 inf + 1 325.688 * * [simplify]: Extracting #4: cost 21 inf + 226 325.689 * * [simplify]: Extracting #5: cost 5 inf + 3131 325.691 * * [simplify]: Extracting #6: cost 0 inf + 4801 325.693 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 325.693 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 325.694 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 325.694 * * [simplify]: iters left: 6 (15 enodes) 325.702 * * [simplify]: iters left: 5 (52 enodes) 325.720 * * [simplify]: iters left: 4 (72 enodes) 325.743 * * [simplify]: iters left: 3 (106 enodes) 325.768 * * [simplify]: iters left: 2 (153 enodes) 325.805 * * [simplify]: iters left: 1 (224 enodes) 325.894 * * [simplify]: Extracting #0: cost 1 inf + 0 325.894 * * [simplify]: Extracting #1: cost 30 inf + 0 325.895 * * [simplify]: Extracting #2: cost 70 inf + 0 325.895 * * [simplify]: Extracting #3: cost 84 inf + 84 325.897 * * [simplify]: Extracting #4: cost 62 inf + 3482 325.902 * * [simplify]: Extracting #5: cost 18 inf + 18667 325.907 * * [simplify]: Extracting #6: cost 0 inf + 25420 325.911 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 325.911 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 325.911 * * * * [progress]: [ 601 / 2703 ] simplifiying candidate # 325.912 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) 1) 325.912 * * [simplify]: iters left: 6 (12 enodes) 325.916 * * [simplify]: iters left: 5 (42 enodes) 325.923 * * [simplify]: iters left: 4 (55 enodes) 325.939 * * [simplify]: iters left: 3 (83 enodes) 325.958 * * [simplify]: iters left: 2 (115 enodes) 325.990 * * [simplify]: iters left: 1 (144 enodes) 326.028 * * [simplify]: Extracting #0: cost 1 inf + 0 326.028 * * [simplify]: Extracting #1: cost 12 inf + 0 326.028 * * [simplify]: Extracting #2: cost 22 inf + 1 326.028 * * [simplify]: Extracting #3: cost 26 inf + 1 326.028 * * [simplify]: Extracting #4: cost 19 inf + 328 326.029 * * [simplify]: Extracting #5: cost 4 inf + 3593 326.030 * * [simplify]: Extracting #6: cost 0 inf + 4801 326.031 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 326.031 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 326.031 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 326.031 * * [simplify]: iters left: 6 (15 enodes) 326.035 * * [simplify]: iters left: 5 (52 enodes) 326.045 * * [simplify]: iters left: 4 (72 enodes) 326.063 * * [simplify]: iters left: 3 (106 enodes) 326.080 * * [simplify]: iters left: 2 (153 enodes) 326.109 * * [simplify]: iters left: 1 (224 enodes) 326.153 * * [simplify]: Extracting #0: cost 1 inf + 0 326.154 * * [simplify]: Extracting #1: cost 30 inf + 0 326.154 * * [simplify]: Extracting #2: cost 70 inf + 0 326.154 * * [simplify]: Extracting #3: cost 84 inf + 84 326.155 * * [simplify]: Extracting #4: cost 62 inf + 3482 326.157 * * [simplify]: Extracting #5: cost 18 inf + 18667 326.165 * * [simplify]: Extracting #6: cost 0 inf + 25420 326.175 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 326.175 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 326.175 * * * * [progress]: [ 602 / 2703 ] simplifiying candidate # 326.176 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (cbrt (sqrt 2))) 326.176 * * [simplify]: iters left: 6 (12 enodes) 326.183 * * [simplify]: iters left: 5 (44 enodes) 326.198 * * [simplify]: iters left: 4 (63 enodes) 326.219 * * [simplify]: iters left: 3 (97 enodes) 326.249 * * [simplify]: iters left: 2 (129 enodes) 326.275 * * [simplify]: iters left: 1 (158 enodes) 326.314 * * [simplify]: Extracting #0: cost 1 inf + 0 326.314 * * [simplify]: Extracting #1: cost 22 inf + 0 326.314 * * [simplify]: Extracting #2: cost 35 inf + 1 326.315 * * [simplify]: Extracting #3: cost 39 inf + 1 326.315 * * [simplify]: Extracting #4: cost 32 inf + 328 326.316 * * [simplify]: Extracting #5: cost 13 inf + 5219 326.319 * * [simplify]: Extracting #6: cost 0 inf + 9289 326.322 * * [simplify]: Extracting #7: cost 0 inf + 9249 326.325 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 326.326 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 326.326 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 326.326 * * [simplify]: iters left: 6 (17 enodes) 326.335 * * [simplify]: iters left: 5 (60 enodes) 326.355 * * [simplify]: iters left: 4 (81 enodes) 326.381 * * [simplify]: iters left: 3 (118 enodes) 326.426 * * [simplify]: iters left: 2 (186 enodes) 326.510 * * [simplify]: iters left: 1 (289 enodes) 326.624 * * [simplify]: Extracting #0: cost 1 inf + 0 326.624 * * [simplify]: Extracting #1: cost 23 inf + 0 326.625 * * [simplify]: Extracting #2: cost 54 inf + 1 326.625 * * [simplify]: Extracting #3: cost 62 inf + 85 326.626 * * [simplify]: Extracting #4: cost 52 inf + 918 326.629 * * [simplify]: Extracting #5: cost 10 inf + 11944 326.636 * * [simplify]: Extracting #6: cost 0 inf + 15717 326.643 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) 326.643 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (cbrt (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))))) 326.644 * * * * [progress]: [ 603 / 2703 ] simplifiying candidate # 326.644 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 326.644 * * [simplify]: iters left: 6 (22 enodes) 326.658 * * [simplify]: iters left: 5 (93 enodes) 326.694 * * [simplify]: iters left: 4 (176 enodes) 326.770 * * [simplify]: iters left: 3 (347 enodes) 326.902 * * [simplify]: Extracting #0: cost 1 inf + 0 326.903 * * [simplify]: Extracting #1: cost 35 inf + 0 326.903 * * [simplify]: Extracting #2: cost 63 inf + 1 326.904 * * [simplify]: Extracting #3: cost 70 inf + 1 326.904 * * [simplify]: Extracting #4: cost 94 inf + 207 326.906 * * [simplify]: Extracting #5: cost 130 inf + 1725 326.909 * * [simplify]: Extracting #6: cost 92 inf + 10719 326.912 * * [simplify]: Extracting #7: cost 48 inf + 25872 326.920 * * [simplify]: Extracting #8: cost 4 inf + 48214 326.929 * * [simplify]: Extracting #9: cost 0 inf + 50217 326.938 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))))) 326.938 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 326.939 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 326.939 * * [simplify]: iters left: 6 (21 enodes) 326.947 * * [simplify]: iters left: 5 (90 enodes) 326.979 * * [simplify]: iters left: 4 (171 enodes) 327.032 * * [simplify]: iters left: 3 (305 enodes) 327.093 * * [simplify]: iters left: 2 (446 enodes) 327.249 * * [simplify]: Extracting #0: cost 1 inf + 0 327.249 * * [simplify]: Extracting #1: cost 21 inf + 0 327.249 * * [simplify]: Extracting #2: cost 42 inf + 0 327.249 * * [simplify]: Extracting #3: cost 68 inf + 0 327.250 * * [simplify]: Extracting #4: cost 187 inf + 387 327.252 * * [simplify]: Extracting #5: cost 219 inf + 6837 327.260 * * [simplify]: Extracting #6: cost 81 inf + 29596 327.276 * * [simplify]: Extracting #7: cost 3 inf + 50302 327.296 * * [simplify]: Extracting #8: cost 0 inf + 50851 327.316 * * [simplify]: Extracting #9: cost 0 inf + 50611 327.336 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* (* a1 a1) (* a1 a1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 327.336 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* (* a1 a1) (* a1 a1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))))) 327.336 * * * * [progress]: [ 604 / 2703 ] simplifiying candidate # 327.336 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 327.337 * * [simplify]: iters left: 6 (21 enodes) 327.348 * * [simplify]: iters left: 5 (86 enodes) 327.378 * * [simplify]: iters left: 4 (146 enodes) 327.432 * * [simplify]: iters left: 3 (272 enodes) 327.544 * * [simplify]: Extracting #0: cost 1 inf + 0 327.544 * * [simplify]: Extracting #1: cost 34 inf + 0 327.545 * * [simplify]: Extracting #2: cost 62 inf + 1 327.545 * * [simplify]: Extracting #3: cost 84 inf + 1 327.546 * * [simplify]: Extracting #4: cost 140 inf + 226 327.548 * * [simplify]: Extracting #5: cost 120 inf + 4454 327.552 * * [simplify]: Extracting #6: cost 45 inf + 18519 327.558 * * [simplify]: Extracting #7: cost 6 inf + 34710 327.566 * * [simplify]: Extracting #8: cost 0 inf + 37591 327.575 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1))))) 327.575 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 327.575 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (- (* a1 a1) (* a2 a2)))) 327.575 * * [simplify]: iters left: 6 (17 enodes) 327.581 * * [simplify]: iters left: 5 (61 enodes) 327.601 * * [simplify]: iters left: 4 (88 enodes) 327.627 * * [simplify]: iters left: 3 (125 enodes) 327.654 * * [simplify]: iters left: 2 (177 enodes) 327.700 * * [simplify]: iters left: 1 (279 enodes) 327.789 * * [simplify]: Extracting #0: cost 1 inf + 0 327.789 * * [simplify]: Extracting #1: cost 23 inf + 0 327.790 * * [simplify]: Extracting #2: cost 45 inf + 0 327.790 * * [simplify]: Extracting #3: cost 72 inf + 0 327.791 * * [simplify]: Extracting #4: cost 100 inf + 266 327.791 * * [simplify]: Extracting #5: cost 92 inf + 1098 327.795 * * [simplify]: Extracting #6: cost 32 inf + 14336 327.804 * * [simplify]: Extracting #7: cost 1 inf + 20850 327.812 * * [simplify]: Extracting #8: cost 0 inf + 21153 327.820 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 327.820 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 327.820 * * * * [progress]: [ 605 / 2703 ] simplifiying candidate # 327.821 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 327.821 * * [simplify]: iters left: 6 (20 enodes) 327.830 * * [simplify]: iters left: 5 (69 enodes) 327.853 * * [simplify]: iters left: 4 (109 enodes) 327.891 * * [simplify]: iters left: 3 (216 enodes) 327.980 * * [simplify]: iters left: 2 (412 enodes) 328.195 * * [simplify]: Extracting #0: cost 1 inf + 0 328.196 * * [simplify]: Extracting #1: cost 69 inf + 0 328.196 * * [simplify]: Extracting #2: cost 135 inf + 0 328.197 * * [simplify]: Extracting #3: cost 145 inf + 0 328.198 * * [simplify]: Extracting #4: cost 136 inf + 1514 328.199 * * [simplify]: Extracting #5: cost 132 inf + 3668 328.200 * * [simplify]: Extracting #6: cost 128 inf + 3752 328.201 * * [simplify]: Extracting #7: cost 127 inf + 3793 328.202 * * [simplify]: Extracting #8: cost 110 inf + 9622 328.207 * * [simplify]: Extracting #9: cost 74 inf + 30673 328.226 * * [simplify]: Extracting #10: cost 12 inf + 69966 328.259 * * [simplify]: Extracting #11: cost 0 inf + 77652 328.278 * * [simplify]: Extracting #12: cost 0 inf + 77612 328.314 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) 328.314 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 328.315 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 328.315 * * [simplify]: iters left: 6 (18 enodes) 328.323 * * [simplify]: iters left: 5 (59 enodes) 328.332 * * [simplify]: iters left: 4 (73 enodes) 328.343 * * [simplify]: iters left: 3 (93 enodes) 328.362 * * [simplify]: iters left: 2 (104 enodes) 328.390 * * [simplify]: iters left: 1 (123 enodes) 328.408 * * [simplify]: Extracting #0: cost 1 inf + 0 328.408 * * [simplify]: Extracting #1: cost 23 inf + 0 328.408 * * [simplify]: Extracting #2: cost 45 inf + 0 328.409 * * [simplify]: Extracting #3: cost 53 inf + 0 328.409 * * [simplify]: Extracting #4: cost 50 inf + 346 328.409 * * [simplify]: Extracting #5: cost 48 inf + 1334 328.410 * * [simplify]: Extracting #6: cost 44 inf + 1418 328.413 * * [simplify]: Extracting #7: cost 28 inf + 5758 328.417 * * [simplify]: Extracting #8: cost 7 inf + 17013 328.422 * * [simplify]: Extracting #9: cost 0 inf + 21078 328.428 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 328.428 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 328.428 * * * * [progress]: [ 606 / 2703 ] simplifiying candidate # 328.429 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 328.429 * * [simplify]: iters left: 6 (19 enodes) 328.437 * * [simplify]: iters left: 5 (64 enodes) 328.454 * * [simplify]: iters left: 4 (92 enodes) 328.480 * * [simplify]: iters left: 3 (148 enodes) 328.522 * * [simplify]: iters left: 2 (220 enodes) 328.595 * * [simplify]: iters left: 1 (297 enodes) 328.661 * * [simplify]: Extracting #0: cost 1 inf + 0 328.661 * * [simplify]: Extracting #1: cost 39 inf + 0 328.662 * * [simplify]: Extracting #2: cost 76 inf + 0 328.662 * * [simplify]: Extracting #3: cost 84 inf + 0 328.662 * * [simplify]: Extracting #4: cost 82 inf + 225 328.663 * * [simplify]: Extracting #5: cost 74 inf + 2682 328.664 * * [simplify]: Extracting #6: cost 69 inf + 3670 328.664 * * [simplify]: Extracting #7: cost 64 inf + 3956 328.665 * * [simplify]: Extracting #8: cost 55 inf + 6519 328.674 * * [simplify]: Extracting #9: cost 11 inf + 30140 328.686 * * [simplify]: Extracting #10: cost 0 inf + 36381 328.694 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) 328.694 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 328.695 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 328.695 * * [simplify]: iters left: 6 (18 enodes) 328.699 * * [simplify]: iters left: 5 (59 enodes) 328.708 * * [simplify]: iters left: 4 (73 enodes) 328.729 * * [simplify]: iters left: 3 (93 enodes) 328.742 * * [simplify]: iters left: 2 (104 enodes) 328.757 * * [simplify]: iters left: 1 (123 enodes) 328.780 * * [simplify]: Extracting #0: cost 1 inf + 0 328.780 * * [simplify]: Extracting #1: cost 23 inf + 0 328.780 * * [simplify]: Extracting #2: cost 45 inf + 0 328.780 * * [simplify]: Extracting #3: cost 53 inf + 0 328.780 * * [simplify]: Extracting #4: cost 50 inf + 346 328.781 * * [simplify]: Extracting #5: cost 48 inf + 1334 328.781 * * [simplify]: Extracting #6: cost 44 inf + 1418 328.782 * * [simplify]: Extracting #7: cost 28 inf + 5718 328.784 * * [simplify]: Extracting #8: cost 7 inf + 16333 328.788 * * [simplify]: Extracting #9: cost 0 inf + 20118 328.791 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 328.791 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 328.791 * * * * [progress]: [ 607 / 2703 ] simplifiying candidate # 328.791 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 328.792 * * [simplify]: iters left: 6 (22 enodes) 328.797 * * [simplify]: iters left: 5 (77 enodes) 328.818 * * [simplify]: iters left: 4 (125 enodes) 328.849 * * [simplify]: iters left: 3 (292 enodes) 328.990 * * [simplify]: Extracting #0: cost 1 inf + 0 328.991 * * [simplify]: Extracting #1: cost 103 inf + 0 328.992 * * [simplify]: Extracting #2: cost 248 inf + 0 328.993 * * [simplify]: Extracting #3: cost 255 inf + 0 328.994 * * [simplify]: Extracting #4: cost 243 inf + 2218 328.998 * * [simplify]: Extracting #5: cost 217 inf + 13972 329.001 * * [simplify]: Extracting #6: cost 208 inf + 15524 329.004 * * [simplify]: Extracting #7: cost 189 inf + 23820 329.020 * * [simplify]: Extracting #8: cost 72 inf + 98755 329.053 * * [simplify]: Extracting #9: cost 10 inf + 141283 329.092 * * [simplify]: Extracting #10: cost 0 inf + 147659 329.136 * [simplify]: Simplified to (/ (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 329.136 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 329.136 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 329.137 * * [simplify]: iters left: 6 (19 enodes) 329.141 * * [simplify]: iters left: 5 (64 enodes) 329.152 * * [simplify]: iters left: 4 (88 enodes) 329.166 * * [simplify]: iters left: 3 (153 enodes) 329.205 * * [simplify]: iters left: 2 (280 enodes) 329.291 * * [simplify]: iters left: 1 (464 enodes) 329.491 * * [simplify]: Extracting #0: cost 1 inf + 0 329.491 * * [simplify]: Extracting #1: cost 53 inf + 0 329.492 * * [simplify]: Extracting #2: cost 104 inf + 0 329.493 * * [simplify]: Extracting #3: cost 112 inf + 0 329.494 * * [simplify]: Extracting #4: cost 108 inf + 427 329.495 * * [simplify]: Extracting #5: cost 98 inf + 4168 329.497 * * [simplify]: Extracting #6: cost 88 inf + 6544 329.505 * * [simplify]: Extracting #7: cost 46 inf + 25754 329.526 * * [simplify]: Extracting #8: cost 0 inf + 50826 329.549 * [simplify]: Simplified to (/ (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 329.549 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 329.549 * * * * [progress]: [ 608 / 2703 ] simplifiying candidate # 329.550 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 329.550 * * [simplify]: iters left: 6 (23 enodes) 329.561 * * [simplify]: iters left: 5 (79 enodes) 329.588 * * [simplify]: iters left: 4 (119 enodes) 329.630 * * [simplify]: iters left: 3 (241 enodes) 329.698 * * [simplify]: Extracting #0: cost 1 inf + 0 329.699 * * [simplify]: Extracting #1: cost 76 inf + 0 329.699 * * [simplify]: Extracting #2: cost 169 inf + 0 329.700 * * [simplify]: Extracting #3: cost 178 inf + 0 329.700 * * [simplify]: Extracting #4: cost 169 inf + 1253 329.701 * * [simplify]: Extracting #5: cost 163 inf + 3990 329.703 * * [simplify]: Extracting #6: cost 133 inf + 13717 329.722 * * [simplify]: Extracting #7: cost 33 inf + 73026 329.756 * * [simplify]: Extracting #8: cost 0 inf + 95300 329.780 * [simplify]: Simplified to (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (cos th))) 329.780 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 329.781 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 329.781 * * [simplify]: iters left: 6 (20 enodes) 329.786 * * [simplify]: iters left: 5 (67 enodes) 329.799 * * [simplify]: iters left: 4 (91 enodes) 329.828 * * [simplify]: iters left: 3 (156 enodes) 329.866 * * [simplify]: iters left: 2 (284 enodes) 329.947 * * [simplify]: iters left: 1 (471 enodes) 330.159 * * [simplify]: Extracting #0: cost 1 inf + 0 330.159 * * [simplify]: Extracting #1: cost 53 inf + 0 330.160 * * [simplify]: Extracting #2: cost 105 inf + 0 330.161 * * [simplify]: Extracting #3: cost 114 inf + 0 330.162 * * [simplify]: Extracting #4: cost 109 inf + 789 330.163 * * [simplify]: Extracting #5: cost 102 inf + 3566 330.165 * * [simplify]: Extracting #6: cost 90 inf + 6544 330.171 * * [simplify]: Extracting #7: cost 65 inf + 16398 330.181 * * [simplify]: Extracting #8: cost 37 inf + 31690 330.203 * * [simplify]: Extracting #9: cost 2 inf + 50763 330.226 * * [simplify]: Extracting #10: cost 0 inf + 52190 330.239 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 330.239 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 330.239 * * * * [progress]: [ 609 / 2703 ] simplifiying candidate # 330.240 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 330.240 * * [simplify]: iters left: 6 (20 enodes) 330.245 * * [simplify]: iters left: 5 (69 enodes) 330.256 * * [simplify]: iters left: 4 (108 enodes) 330.287 * * [simplify]: iters left: 3 (207 enodes) 330.352 * * [simplify]: iters left: 2 (436 enodes) 330.606 * * [simplify]: Extracting #0: cost 1 inf + 0 330.607 * * [simplify]: Extracting #1: cost 83 inf + 0 330.608 * * [simplify]: Extracting #2: cost 145 inf + 0 330.609 * * [simplify]: Extracting #3: cost 156 inf + 0 330.611 * * [simplify]: Extracting #4: cost 149 inf + 1433 330.613 * * [simplify]: Extracting #5: cost 138 inf + 3228 330.616 * * [simplify]: Extracting #6: cost 125 inf + 7169 330.630 * * [simplify]: Extracting #7: cost 57 inf + 39716 330.656 * * [simplify]: Extracting #8: cost 3 inf + 72657 330.674 * * [simplify]: Extracting #9: cost 0 inf + 74588 330.705 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 330.705 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 330.705 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 330.705 * * [simplify]: iters left: 6 (18 enodes) 330.710 * * [simplify]: iters left: 5 (61 enodes) 330.720 * * [simplify]: iters left: 4 (84 enodes) 330.736 * * [simplify]: iters left: 3 (129 enodes) 330.763 * * [simplify]: iters left: 2 (199 enodes) 330.809 * * [simplify]: iters left: 1 (298 enodes) 331.327 * * [simplify]: Extracting #0: cost 1 inf + 0 331.327 * * [simplify]: Extracting #1: cost 39 inf + 0 331.328 * * [simplify]: Extracting #2: cost 75 inf + 0 331.328 * * [simplify]: Extracting #3: cost 82 inf + 0 331.328 * * [simplify]: Extracting #4: cost 79 inf + 467 331.329 * * [simplify]: Extracting #5: cost 61 inf + 4894 331.330 * * [simplify]: Extracting #6: cost 55 inf + 5902 331.335 * * [simplify]: Extracting #7: cost 27 inf + 16887 331.347 * * [simplify]: Extracting #8: cost 1 inf + 29916 331.355 * * [simplify]: Extracting #9: cost 0 inf + 30359 331.361 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 331.361 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 331.362 * * * * [progress]: [ 610 / 2703 ] simplifiying candidate # 331.362 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 331.362 * * [simplify]: iters left: 6 (22 enodes) 331.369 * * [simplify]: iters left: 5 (77 enodes) 331.386 * * [simplify]: iters left: 4 (107 enodes) 331.422 * * [simplify]: iters left: 3 (185 enodes) 331.498 * * [simplify]: iters left: 2 (329 enodes) 331.698 * * [simplify]: Extracting #0: cost 1 inf + 0 331.698 * * [simplify]: Extracting #1: cost 62 inf + 0 331.699 * * [simplify]: Extracting #2: cost 108 inf + 1 331.699 * * [simplify]: Extracting #3: cost 116 inf + 1 331.700 * * [simplify]: Extracting #4: cost 109 inf + 911 331.701 * * [simplify]: Extracting #5: cost 94 inf + 6566 331.703 * * [simplify]: Extracting #6: cost 67 inf + 15295 331.709 * * [simplify]: Extracting #7: cost 32 inf + 32066 331.721 * * [simplify]: Extracting #8: cost 3 inf + 49538 331.733 * * [simplify]: Extracting #9: cost 0 inf + 51650 331.744 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 331.744 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 331.745 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 331.745 * * [simplify]: iters left: 6 (18 enodes) 331.749 * * [simplify]: iters left: 5 (61 enodes) 331.759 * * [simplify]: iters left: 4 (85 enodes) 331.781 * * [simplify]: iters left: 3 (150 enodes) 331.817 * * [simplify]: iters left: 2 (278 enodes) 331.886 * * [simplify]: iters left: 1 (459 enodes) 332.074 * * [simplify]: Extracting #0: cost 1 inf + 0 332.074 * * [simplify]: Extracting #1: cost 53 inf + 0 332.075 * * [simplify]: Extracting #2: cost 103 inf + 0 332.075 * * [simplify]: Extracting #3: cost 112 inf + 0 332.076 * * [simplify]: Extracting #4: cost 109 inf + 427 332.076 * * [simplify]: Extracting #5: cost 96 inf + 2725 332.081 * * [simplify]: Extracting #6: cost 31 inf + 30838 332.099 * * [simplify]: Extracting #7: cost 0 inf + 45840 332.109 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))) 332.109 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))))) 332.110 * * * * [progress]: [ 611 / 2703 ] simplifiying candidate # 332.110 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 332.110 * * [simplify]: iters left: 6 (20 enodes) 332.115 * * [simplify]: iters left: 5 (69 enodes) 332.125 * * [simplify]: iters left: 4 (108 enodes) 332.154 * * [simplify]: iters left: 3 (207 enodes) 332.212 * * [simplify]: iters left: 2 (436 enodes) 332.451 * * [simplify]: Extracting #0: cost 1 inf + 0 332.451 * * [simplify]: Extracting #1: cost 83 inf + 0 332.452 * * [simplify]: Extracting #2: cost 145 inf + 0 332.453 * * [simplify]: Extracting #3: cost 156 inf + 0 332.453 * * [simplify]: Extracting #4: cost 149 inf + 1433 332.454 * * [simplify]: Extracting #5: cost 138 inf + 3228 332.456 * * [simplify]: Extracting #6: cost 125 inf + 7169 332.463 * * [simplify]: Extracting #7: cost 57 inf + 39716 332.487 * * [simplify]: Extracting #8: cost 3 inf + 72657 332.508 * * [simplify]: Extracting #9: cost 0 inf + 74588 332.534 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 332.535 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 332.535 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 332.535 * * [simplify]: iters left: 6 (18 enodes) 332.540 * * [simplify]: iters left: 5 (61 enodes) 332.549 * * [simplify]: iters left: 4 (84 enodes) 332.571 * * [simplify]: iters left: 3 (129 enodes) 332.603 * * [simplify]: iters left: 2 (199 enodes) 332.653 * * [simplify]: iters left: 1 (298 enodes) 332.775 * * [simplify]: Extracting #0: cost 1 inf + 0 332.775 * * [simplify]: Extracting #1: cost 39 inf + 0 332.775 * * [simplify]: Extracting #2: cost 75 inf + 0 332.776 * * [simplify]: Extracting #3: cost 82 inf + 0 332.777 * * [simplify]: Extracting #4: cost 79 inf + 467 332.778 * * [simplify]: Extracting #5: cost 61 inf + 4894 332.780 * * [simplify]: Extracting #6: cost 55 inf + 5902 332.784 * * [simplify]: Extracting #7: cost 27 inf + 16887 332.798 * * [simplify]: Extracting #8: cost 1 inf + 29916 332.811 * * [simplify]: Extracting #9: cost 0 inf + 30359 332.824 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 332.824 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 332.825 * * * * [progress]: [ 612 / 2703 ] simplifiying candidate # 332.825 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 332.825 * * [simplify]: iters left: 6 (21 enodes) 332.836 * * [simplify]: iters left: 5 (72 enodes) 332.859 * * [simplify]: iters left: 4 (104 enodes) 332.887 * * [simplify]: iters left: 3 (188 enodes) 332.953 * * [simplify]: iters left: 2 (343 enodes) 333.117 * * [simplify]: Extracting #0: cost 1 inf + 0 333.118 * * [simplify]: Extracting #1: cost 62 inf + 0 333.118 * * [simplify]: Extracting #2: cost 103 inf + 1 333.119 * * [simplify]: Extracting #3: cost 111 inf + 1 333.120 * * [simplify]: Extracting #4: cost 104 inf + 911 333.122 * * [simplify]: Extracting #5: cost 89 inf + 6645 333.126 * * [simplify]: Extracting #6: cost 66 inf + 14787 333.138 * * [simplify]: Extracting #7: cost 25 inf + 34437 333.160 * * [simplify]: Extracting #8: cost 1 inf + 49029 333.179 * * [simplify]: Extracting #9: cost 0 inf + 49773 333.190 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 333.190 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 333.191 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 333.191 * * [simplify]: iters left: 6 (18 enodes) 333.195 * * [simplify]: iters left: 5 (61 enodes) 333.205 * * [simplify]: iters left: 4 (85 enodes) 333.226 * * [simplify]: iters left: 3 (150 enodes) 333.282 * * [simplify]: iters left: 2 (278 enodes) 333.413 * * [simplify]: iters left: 1 (459 enodes) 333.630 * * [simplify]: Extracting #0: cost 1 inf + 0 333.631 * * [simplify]: Extracting #1: cost 53 inf + 0 333.631 * * [simplify]: Extracting #2: cost 103 inf + 0 333.632 * * [simplify]: Extracting #3: cost 112 inf + 0 333.633 * * [simplify]: Extracting #4: cost 109 inf + 427 333.634 * * [simplify]: Extracting #5: cost 96 inf + 2725 333.643 * * [simplify]: Extracting #6: cost 31 inf + 30838 333.663 * * [simplify]: Extracting #7: cost 0 inf + 45840 333.684 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))) 333.684 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))))) 333.684 * * * * [progress]: [ 613 / 2703 ] simplifiying candidate # 333.685 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 333.685 * * [simplify]: iters left: 6 (24 enodes) 333.696 * * [simplify]: iters left: 5 (84 enodes) 333.725 * * [simplify]: iters left: 4 (132 enodes) 333.774 * * [simplify]: iters left: 3 (299 enodes) 333.926 * * [simplify]: Extracting #0: cost 1 inf + 0 333.926 * * [simplify]: Extracting #1: cost 104 inf + 0 333.928 * * [simplify]: Extracting #2: cost 250 inf + 0 333.930 * * [simplify]: Extracting #3: cost 259 inf + 0 333.932 * * [simplify]: Extracting #4: cost 252 inf + 1032 333.938 * * [simplify]: Extracting #5: cost 246 inf + 3106 333.942 * * [simplify]: Extracting #6: cost 216 inf + 13337 333.949 * * [simplify]: Extracting #7: cost 186 inf + 27780 333.972 * * [simplify]: Extracting #8: cost 34 inf + 129285 334.011 * * [simplify]: Extracting #9: cost 0 inf + 153511 334.065 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (cbrt (fabs (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 334.065 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (cbrt (fabs (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 334.065 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 334.065 * * [simplify]: iters left: 6 (21 enodes) 334.071 * * [simplify]: iters left: 5 (70 enodes) 334.084 * * [simplify]: iters left: 4 (94 enodes) 334.107 * * [simplify]: iters left: 3 (159 enodes) 334.165 * * [simplify]: iters left: 2 (287 enodes) 334.266 * * [simplify]: iters left: 1 (475 enodes) 334.444 * * [simplify]: Extracting #0: cost 1 inf + 0 334.444 * * [simplify]: Extracting #1: cost 53 inf + 0 334.445 * * [simplify]: Extracting #2: cost 104 inf + 0 334.445 * * [simplify]: Extracting #3: cost 114 inf + 0 334.446 * * [simplify]: Extracting #4: cost 112 inf + 366 334.446 * * [simplify]: Extracting #5: cost 106 inf + 1919 334.447 * * [simplify]: Extracting #6: cost 97 inf + 3892 334.450 * * [simplify]: Extracting #7: cost 52 inf + 24293 334.461 * * [simplify]: Extracting #8: cost 8 inf + 50242 334.475 * * [simplify]: Extracting #9: cost 0 inf + 54648 334.498 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 334.498 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 334.498 * * * * [progress]: [ 614 / 2703 ] simplifiying candidate # 334.498 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 334.499 * * [simplify]: iters left: 6 (25 enodes) 334.505 * * [simplify]: iters left: 5 (86 enodes) 334.521 * * [simplify]: iters left: 4 (126 enodes) 334.547 * * [simplify]: iters left: 3 (248 enodes) 334.667 * * [simplify]: Extracting #0: cost 1 inf + 0 334.668 * * [simplify]: Extracting #1: cost 76 inf + 0 334.668 * * [simplify]: Extracting #2: cost 169 inf + 0 334.670 * * [simplify]: Extracting #3: cost 180 inf + 0 334.671 * * [simplify]: Extracting #4: cost 176 inf + 709 334.672 * * [simplify]: Extracting #5: cost 169 inf + 3266 334.676 * * [simplify]: Extracting #6: cost 139 inf + 11586 334.693 * * [simplify]: Extracting #7: cost 34 inf + 75423 334.725 * * [simplify]: Extracting #8: cost 0 inf + 98424 334.758 * [simplify]: Simplified to (/ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (fabs (cbrt 2)))) 334.758 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 334.759 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 334.759 * * [simplify]: iters left: 6 (22 enodes) 334.770 * * [simplify]: iters left: 5 (73 enodes) 334.784 * * [simplify]: iters left: 4 (97 enodes) 334.801 * * [simplify]: iters left: 3 (162 enodes) 334.862 * * [simplify]: iters left: 2 (290 enodes) 334.969 * * [simplify]: iters left: 1 (477 enodes) 335.176 * * [simplify]: Extracting #0: cost 1 inf + 0 335.176 * * [simplify]: Extracting #1: cost 53 inf + 0 335.177 * * [simplify]: Extracting #2: cost 106 inf + 0 335.178 * * [simplify]: Extracting #3: cost 117 inf + 0 335.179 * * [simplify]: Extracting #4: cost 111 inf + 1152 335.180 * * [simplify]: Extracting #5: cost 107 inf + 2342 335.181 * * [simplify]: Extracting #6: cost 98 inf + 4294 335.186 * * [simplify]: Extracting #7: cost 62 inf + 19468 335.198 * * [simplify]: Extracting #8: cost 37 inf + 33692 335.222 * * [simplify]: Extracting #9: cost 5 inf + 53256 335.238 * * [simplify]: Extracting #10: cost 0 inf + 56554 335.251 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 335.251 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 335.251 * * * * [progress]: [ 615 / 2703 ] simplifiying candidate # 335.251 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 335.251 * * [simplify]: iters left: 6 (22 enodes) 335.257 * * [simplify]: iters left: 5 (76 enodes) 335.279 * * [simplify]: iters left: 4 (115 enodes) 335.319 * * [simplify]: iters left: 3 (214 enodes) 335.416 * * [simplify]: iters left: 2 (445 enodes) 335.702 * * [simplify]: Extracting #0: cost 1 inf + 0 335.702 * * [simplify]: Extracting #1: cost 83 inf + 0 335.703 * * [simplify]: Extracting #2: cost 145 inf + 0 335.705 * * [simplify]: Extracting #3: cost 158 inf + 0 335.706 * * [simplify]: Extracting #4: cost 154 inf + 830 335.708 * * [simplify]: Extracting #5: cost 137 inf + 3633 335.717 * * [simplify]: Extracting #6: cost 71 inf + 34593 335.734 * * [simplify]: Extracting #7: cost 7 inf + 71666 335.756 * * [simplify]: Extracting #8: cost 0 inf + 76032 335.782 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 335.782 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 335.782 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 335.782 * * [simplify]: iters left: 6 (20 enodes) 335.787 * * [simplify]: iters left: 5 (67 enodes) 335.798 * * [simplify]: iters left: 4 (90 enodes) 335.818 * * [simplify]: iters left: 3 (135 enodes) 335.858 * * [simplify]: iters left: 2 (205 enodes) 335.943 * * [simplify]: iters left: 1 (305 enodes) 336.039 * * [simplify]: Extracting #0: cost 1 inf + 0 336.039 * * [simplify]: Extracting #1: cost 39 inf + 0 336.039 * * [simplify]: Extracting #2: cost 76 inf + 0 336.040 * * [simplify]: Extracting #3: cost 85 inf + 0 336.040 * * [simplify]: Extracting #4: cost 82 inf + 468 336.041 * * [simplify]: Extracting #5: cost 69 inf + 2865 336.042 * * [simplify]: Extracting #6: cost 57 inf + 6102 336.044 * * [simplify]: Extracting #7: cost 26 inf + 20016 336.050 * * [simplify]: Extracting #8: cost 3 inf + 32054 336.057 * * [simplify]: Extracting #9: cost 0 inf + 33523 336.064 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt 2))))) 336.064 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt 2))))))) 336.064 * * * * [progress]: [ 616 / 2703 ] simplifiying candidate # 336.065 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 336.065 * * [simplify]: iters left: 6 (24 enodes) 336.074 * * [simplify]: iters left: 5 (84 enodes) 336.087 * * [simplify]: iters left: 4 (114 enodes) 336.118 * * [simplify]: iters left: 3 (192 enodes) 336.163 * * [simplify]: iters left: 2 (338 enodes) 336.357 * * [simplify]: Extracting #0: cost 1 inf + 0 336.357 * * [simplify]: Extracting #1: cost 62 inf + 0 336.358 * * [simplify]: Extracting #2: cost 107 inf + 1 336.358 * * [simplify]: Extracting #3: cost 117 inf + 1 336.360 * * [simplify]: Extracting #4: cost 108 inf + 1941 336.361 * * [simplify]: Extracting #5: cost 95 inf + 6289 336.368 * * [simplify]: Extracting #6: cost 68 inf + 15357 336.382 * * [simplify]: Extracting #7: cost 26 inf + 36633 336.402 * * [simplify]: Extracting #8: cost 0 inf + 52834 336.424 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (fabs (cbrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) 336.424 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (fabs (cbrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 336.425 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 336.425 * * [simplify]: iters left: 6 (20 enodes) 336.435 * * [simplify]: iters left: 5 (67 enodes) 336.455 * * [simplify]: iters left: 4 (91 enodes) 336.472 * * [simplify]: iters left: 3 (156 enodes) 336.506 * * [simplify]: iters left: 2 (284 enodes) 336.615 * * [simplify]: iters left: 1 (463 enodes) 336.829 * * [simplify]: Extracting #0: cost 1 inf + 0 336.830 * * [simplify]: Extracting #1: cost 53 inf + 0 336.833 * * [simplify]: Extracting #2: cost 105 inf + 0 336.834 * * [simplify]: Extracting #3: cost 116 inf + 0 336.835 * * [simplify]: Extracting #4: cost 113 inf + 789 336.836 * * [simplify]: Extracting #5: cost 101 inf + 2224 336.842 * * [simplify]: Extracting #6: cost 48 inf + 25377 336.863 * * [simplify]: Extracting #7: cost 3 inf + 48956 336.885 * * [simplify]: Extracting #8: cost 0 inf + 50626 336.907 * [simplify]: Simplified to (/ (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))) 336.907 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) (/ (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))))) 336.908 * * * * [progress]: [ 617 / 2703 ] simplifiying candidate # 336.908 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 336.909 * * [simplify]: iters left: 6 (22 enodes) 336.920 * * [simplify]: iters left: 5 (76 enodes) 336.943 * * [simplify]: iters left: 4 (115 enodes) 336.983 * * [simplify]: iters left: 3 (214 enodes) 337.032 * * [simplify]: iters left: 2 (445 enodes) 337.265 * * [simplify]: Extracting #0: cost 1 inf + 0 337.265 * * [simplify]: Extracting #1: cost 83 inf + 0 337.266 * * [simplify]: Extracting #2: cost 145 inf + 0 337.267 * * [simplify]: Extracting #3: cost 158 inf + 0 337.268 * * [simplify]: Extracting #4: cost 154 inf + 830 337.270 * * [simplify]: Extracting #5: cost 137 inf + 3633 337.280 * * [simplify]: Extracting #6: cost 71 inf + 34593 337.311 * * [simplify]: Extracting #7: cost 7 inf + 71666 337.344 * * [simplify]: Extracting #8: cost 0 inf + 76032 337.363 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 337.363 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 337.363 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 337.363 * * [simplify]: iters left: 6 (20 enodes) 337.368 * * [simplify]: iters left: 5 (67 enodes) 337.381 * * [simplify]: iters left: 4 (90 enodes) 337.399 * * [simplify]: iters left: 3 (135 enodes) 337.434 * * [simplify]: iters left: 2 (205 enodes) 337.483 * * [simplify]: iters left: 1 (305 enodes) 337.572 * * [simplify]: Extracting #0: cost 1 inf + 0 337.572 * * [simplify]: Extracting #1: cost 39 inf + 0 337.572 * * [simplify]: Extracting #2: cost 76 inf + 0 337.573 * * [simplify]: Extracting #3: cost 85 inf + 0 337.574 * * [simplify]: Extracting #4: cost 82 inf + 468 337.575 * * [simplify]: Extracting #5: cost 69 inf + 2865 337.576 * * [simplify]: Extracting #6: cost 57 inf + 6102 337.582 * * [simplify]: Extracting #7: cost 26 inf + 20016 337.594 * * [simplify]: Extracting #8: cost 3 inf + 32054 337.608 * * [simplify]: Extracting #9: cost 0 inf + 33523 337.618 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt 2))))) 337.618 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt 2))))))) 337.618 * * * * [progress]: [ 618 / 2703 ] simplifiying candidate # 337.618 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 337.619 * * [simplify]: iters left: 6 (23 enodes) 337.624 * * [simplify]: iters left: 5 (79 enodes) 337.637 * * [simplify]: iters left: 4 (111 enodes) 337.671 * * [simplify]: iters left: 3 (195 enodes) 337.728 * * [simplify]: iters left: 2 (351 enodes) 337.922 * * [simplify]: Extracting #0: cost 1 inf + 0 337.922 * * [simplify]: Extracting #1: cost 62 inf + 0 337.923 * * [simplify]: Extracting #2: cost 104 inf + 1 337.924 * * [simplify]: Extracting #3: cost 114 inf + 1 337.925 * * [simplify]: Extracting #4: cost 108 inf + 1052 337.927 * * [simplify]: Extracting #5: cost 95 inf + 5179 337.932 * * [simplify]: Extracting #6: cost 65 inf + 15374 337.939 * * [simplify]: Extracting #7: cost 28 inf + 34012 337.949 * * [simplify]: Extracting #8: cost 0 inf + 51802 337.960 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 337.960 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 337.960 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 337.961 * * [simplify]: iters left: 6 (20 enodes) 337.966 * * [simplify]: iters left: 5 (67 enodes) 337.976 * * [simplify]: iters left: 4 (91 enodes) 337.992 * * [simplify]: iters left: 3 (156 enodes) 338.052 * * [simplify]: iters left: 2 (284 enodes) 338.150 * * [simplify]: iters left: 1 (463 enodes) 338.274 * * [simplify]: Extracting #0: cost 1 inf + 0 338.274 * * [simplify]: Extracting #1: cost 53 inf + 0 338.275 * * [simplify]: Extracting #2: cost 105 inf + 0 338.275 * * [simplify]: Extracting #3: cost 116 inf + 0 338.276 * * [simplify]: Extracting #4: cost 113 inf + 789 338.277 * * [simplify]: Extracting #5: cost 101 inf + 2224 338.281 * * [simplify]: Extracting #6: cost 48 inf + 25377 338.291 * * [simplify]: Extracting #7: cost 3 inf + 48956 338.304 * * [simplify]: Extracting #8: cost 0 inf + 50626 338.317 * [simplify]: Simplified to (/ (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))) 338.317 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) (/ (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2)))))) 338.317 * * * * [progress]: [ 619 / 2703 ] simplifiying candidate # 338.318 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 338.318 * * [simplify]: iters left: 6 (22 enodes) 338.329 * * [simplify]: iters left: 5 (77 enodes) 338.354 * * [simplify]: iters left: 4 (125 enodes) 338.386 * * [simplify]: iters left: 3 (292 enodes) 338.548 * * [simplify]: Extracting #0: cost 1 inf + 0 338.548 * * [simplify]: Extracting #1: cost 103 inf + 0 338.549 * * [simplify]: Extracting #2: cost 248 inf + 0 338.551 * * [simplify]: Extracting #3: cost 255 inf + 0 338.553 * * [simplify]: Extracting #4: cost 243 inf + 2058 338.557 * * [simplify]: Extracting #5: cost 217 inf + 13092 338.560 * * [simplify]: Extracting #6: cost 208 inf + 14564 338.563 * * [simplify]: Extracting #7: cost 189 inf + 22620 338.578 * * [simplify]: Extracting #8: cost 72 inf + 94835 338.623 * * [simplify]: Extracting #9: cost 10 inf + 136003 338.676 * * [simplify]: Extracting #10: cost 0 inf + 142379 338.729 * [simplify]: Simplified to (/ (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2)))) 338.729 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 338.729 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 338.730 * * [simplify]: iters left: 6 (20 enodes) 338.739 * * [simplify]: iters left: 5 (67 enodes) 338.760 * * [simplify]: iters left: 4 (91 enodes) 338.788 * * [simplify]: iters left: 3 (156 enodes) 338.823 * * [simplify]: iters left: 2 (284 enodes) 338.924 * * [simplify]: iters left: 1 (469 enodes) 339.137 * * [simplify]: Extracting #0: cost 1 inf + 0 339.137 * * [simplify]: Extracting #1: cost 53 inf + 0 339.137 * * [simplify]: Extracting #2: cost 105 inf + 0 339.138 * * [simplify]: Extracting #3: cost 114 inf + 0 339.138 * * [simplify]: Extracting #4: cost 108 inf + 1091 339.139 * * [simplify]: Extracting #5: cost 101 inf + 3607 339.140 * * [simplify]: Extracting #6: cost 89 inf + 6705 339.144 * * [simplify]: Extracting #7: cost 48 inf + 26254 339.156 * * [simplify]: Extracting #8: cost 4 inf + 48915 339.168 * * [simplify]: Extracting #9: cost 0 inf + 51188 339.179 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 339.179 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 339.179 * * * * [progress]: [ 620 / 2703 ] simplifiying candidate # 339.180 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 339.180 * * [simplify]: iters left: 6 (23 enodes) 339.185 * * [simplify]: iters left: 5 (79 enodes) 339.200 * * [simplify]: iters left: 4 (119 enodes) 339.235 * * [simplify]: iters left: 3 (241 enodes) 339.330 * * [simplify]: Extracting #0: cost 1 inf + 0 339.331 * * [simplify]: Extracting #1: cost 76 inf + 0 339.332 * * [simplify]: Extracting #2: cost 169 inf + 0 339.333 * * [simplify]: Extracting #3: cost 178 inf + 0 339.334 * * [simplify]: Extracting #4: cost 169 inf + 1253 339.336 * * [simplify]: Extracting #5: cost 163 inf + 3830 339.339 * * [simplify]: Extracting #6: cost 133 inf + 13077 339.363 * * [simplify]: Extracting #7: cost 33 inf + 70466 339.394 * * [simplify]: Extracting #8: cost 0 inf + 91780 339.425 * [simplify]: Simplified to (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (cos th))) 339.425 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 339.426 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 339.426 * * [simplify]: iters left: 6 (21 enodes) 339.435 * * [simplify]: iters left: 5 (70 enodes) 339.447 * * [simplify]: iters left: 4 (94 enodes) 339.462 * * [simplify]: iters left: 3 (159 enodes) 339.502 * * [simplify]: iters left: 2 (287 enodes) 339.591 * * [simplify]: iters left: 1 (471 enodes) 339.753 * * [simplify]: Extracting #0: cost 1 inf + 0 339.753 * * [simplify]: Extracting #1: cost 53 inf + 0 339.754 * * [simplify]: Extracting #2: cost 106 inf + 0 339.754 * * [simplify]: Extracting #3: cost 116 inf + 0 339.755 * * [simplify]: Extracting #4: cost 113 inf + 366 339.755 * * [simplify]: Extracting #5: cost 107 inf + 1999 339.756 * * [simplify]: Extracting #6: cost 92 inf + 5942 339.759 * * [simplify]: Extracting #7: cost 54 inf + 22994 339.771 * * [simplify]: Extracting #8: cost 6 inf + 49171 339.793 * * [simplify]: Extracting #9: cost 0 inf + 52552 339.809 * [simplify]: Simplified to (/ (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 339.809 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 339.809 * * * * [progress]: [ 621 / 2703 ] simplifiying candidate # 339.809 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 339.809 * * [simplify]: iters left: 6 (20 enodes) 339.814 * * [simplify]: iters left: 5 (69 enodes) 339.826 * * [simplify]: iters left: 4 (108 enodes) 339.853 * * [simplify]: iters left: 3 (207 enodes) 339.900 * * [simplify]: iters left: 2 (436 enodes) 340.187 * * [simplify]: Extracting #0: cost 1 inf + 0 340.187 * * [simplify]: Extracting #1: cost 83 inf + 0 340.188 * * [simplify]: Extracting #2: cost 145 inf + 0 340.190 * * [simplify]: Extracting #3: cost 156 inf + 0 340.191 * * [simplify]: Extracting #4: cost 149 inf + 1433 340.193 * * [simplify]: Extracting #5: cost 138 inf + 3148 340.196 * * [simplify]: Extracting #6: cost 125 inf + 6769 340.213 * * [simplify]: Extracting #7: cost 57 inf + 37716 340.232 * * [simplify]: Extracting #8: cost 3 inf + 68737 340.249 * * [simplify]: Extracting #9: cost 0 inf + 70428 340.275 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 340.275 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 340.275 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 340.276 * * [simplify]: iters left: 6 (19 enodes) 340.284 * * [simplify]: iters left: 5 (64 enodes) 340.294 * * [simplify]: iters left: 4 (87 enodes) 340.310 * * [simplify]: iters left: 3 (132 enodes) 340.332 * * [simplify]: iters left: 2 (202 enodes) 340.390 * * [simplify]: iters left: 1 (301 enodes) 340.476 * * [simplify]: Extracting #0: cost 1 inf + 0 340.476 * * [simplify]: Extracting #1: cost 39 inf + 0 340.477 * * [simplify]: Extracting #2: cost 76 inf + 0 340.478 * * [simplify]: Extracting #3: cost 84 inf + 0 340.478 * * [simplify]: Extracting #4: cost 79 inf + 569 340.479 * * [simplify]: Extracting #5: cost 60 inf + 4716 340.480 * * [simplify]: Extracting #6: cost 55 inf + 6064 340.482 * * [simplify]: Extracting #7: cost 28 inf + 17407 340.488 * * [simplify]: Extracting #8: cost 1 inf + 30057 340.495 * * [simplify]: Extracting #9: cost 0 inf + 30641 340.505 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) 340.505 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))))) 340.505 * * * * [progress]: [ 622 / 2703 ] simplifiying candidate # 340.505 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 340.506 * * [simplify]: iters left: 6 (22 enodes) 340.518 * * [simplify]: iters left: 5 (77 enodes) 340.537 * * [simplify]: iters left: 4 (107 enodes) 340.559 * * [simplify]: iters left: 3 (185 enodes) 340.617 * * [simplify]: iters left: 2 (329 enodes) 340.785 * * [simplify]: Extracting #0: cost 1 inf + 0 340.785 * * [simplify]: Extracting #1: cost 62 inf + 0 340.786 * * [simplify]: Extracting #2: cost 108 inf + 1 340.786 * * [simplify]: Extracting #3: cost 116 inf + 1 340.787 * * [simplify]: Extracting #4: cost 109 inf + 911 340.788 * * [simplify]: Extracting #5: cost 94 inf + 6166 340.790 * * [simplify]: Extracting #6: cost 67 inf + 14175 340.796 * * [simplify]: Extracting #7: cost 32 inf + 30386 340.814 * * [simplify]: Extracting #8: cost 3 inf + 46738 340.836 * * [simplify]: Extracting #9: cost 0 inf + 48690 340.847 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 340.847 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 340.847 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 340.847 * * [simplify]: iters left: 6 (19 enodes) 340.852 * * [simplify]: iters left: 5 (64 enodes) 340.862 * * [simplify]: iters left: 4 (88 enodes) 340.891 * * [simplify]: iters left: 3 (153 enodes) 340.926 * * [simplify]: iters left: 2 (280 enodes) 341.016 * * [simplify]: iters left: 1 (465 enodes) 341.197 * * [simplify]: Extracting #0: cost 1 inf + 0 341.198 * * [simplify]: Extracting #1: cost 53 inf + 0 341.198 * * [simplify]: Extracting #2: cost 105 inf + 0 341.198 * * [simplify]: Extracting #3: cost 115 inf + 0 341.199 * * [simplify]: Extracting #4: cost 111 inf + 729 341.199 * * [simplify]: Extracting #5: cost 95 inf + 3771 341.205 * * [simplify]: Extracting #6: cost 30 inf + 30481 341.224 * * [simplify]: Extracting #7: cost 0 inf + 46624 341.235 * [simplify]: Simplified to (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 341.235 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) 341.235 * * * * [progress]: [ 623 / 2703 ] simplifiying candidate # 341.235 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 341.235 * * [simplify]: iters left: 6 (20 enodes) 341.240 * * [simplify]: iters left: 5 (69 enodes) 341.253 * * [simplify]: iters left: 4 (108 enodes) 341.286 * * [simplify]: iters left: 3 (207 enodes) 341.353 * * [simplify]: iters left: 2 (436 enodes) 341.638 * * [simplify]: Extracting #0: cost 1 inf + 0 341.638 * * [simplify]: Extracting #1: cost 83 inf + 0 341.639 * * [simplify]: Extracting #2: cost 145 inf + 0 341.641 * * [simplify]: Extracting #3: cost 156 inf + 0 341.642 * * [simplify]: Extracting #4: cost 149 inf + 1433 341.644 * * [simplify]: Extracting #5: cost 138 inf + 3148 341.647 * * [simplify]: Extracting #6: cost 125 inf + 6769 341.660 * * [simplify]: Extracting #7: cost 57 inf + 37716 341.690 * * [simplify]: Extracting #8: cost 3 inf + 68737 341.721 * * [simplify]: Extracting #9: cost 0 inf + 70428 341.756 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 341.756 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 341.757 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 341.757 * * [simplify]: iters left: 6 (19 enodes) 341.766 * * [simplify]: iters left: 5 (64 enodes) 341.785 * * [simplify]: iters left: 4 (87 enodes) 341.813 * * [simplify]: iters left: 3 (132 enodes) 341.838 * * [simplify]: iters left: 2 (202 enodes) 341.907 * * [simplify]: iters left: 1 (301 enodes) 341.996 * * [simplify]: Extracting #0: cost 1 inf + 0 341.996 * * [simplify]: Extracting #1: cost 39 inf + 0 341.997 * * [simplify]: Extracting #2: cost 76 inf + 0 341.997 * * [simplify]: Extracting #3: cost 84 inf + 0 341.997 * * [simplify]: Extracting #4: cost 79 inf + 569 341.998 * * [simplify]: Extracting #5: cost 60 inf + 4716 341.999 * * [simplify]: Extracting #6: cost 55 inf + 6064 342.001 * * [simplify]: Extracting #7: cost 28 inf + 17407 342.007 * * [simplify]: Extracting #8: cost 1 inf + 30057 342.013 * * [simplify]: Extracting #9: cost 0 inf + 30641 342.022 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) 342.022 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))))) 342.023 * * * * [progress]: [ 624 / 2703 ] simplifiying candidate # 342.023 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 342.023 * * [simplify]: iters left: 6 (21 enodes) 342.034 * * [simplify]: iters left: 5 (72 enodes) 342.060 * * [simplify]: iters left: 4 (104 enodes) 342.096 * * [simplify]: iters left: 3 (188 enodes) 342.168 * * [simplify]: iters left: 2 (343 enodes) 342.348 * * [simplify]: Extracting #0: cost 1 inf + 0 342.349 * * [simplify]: Extracting #1: cost 62 inf + 0 342.350 * * [simplify]: Extracting #2: cost 103 inf + 1 342.350 * * [simplify]: Extracting #3: cost 111 inf + 1 342.351 * * [simplify]: Extracting #4: cost 104 inf + 911 342.353 * * [simplify]: Extracting #5: cost 89 inf + 6165 342.358 * * [simplify]: Extracting #6: cost 66 inf + 13667 342.369 * * [simplify]: Extracting #7: cost 25 inf + 32117 342.387 * * [simplify]: Extracting #8: cost 1 inf + 46069 342.407 * * [simplify]: Extracting #9: cost 0 inf + 46813 342.426 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 342.427 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 342.427 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 342.427 * * [simplify]: iters left: 6 (19 enodes) 342.433 * * [simplify]: iters left: 5 (64 enodes) 342.445 * * [simplify]: iters left: 4 (88 enodes) 342.470 * * [simplify]: iters left: 3 (153 enodes) 342.524 * * [simplify]: iters left: 2 (280 enodes) 342.653 * * [simplify]: iters left: 1 (465 enodes) 342.855 * * [simplify]: Extracting #0: cost 1 inf + 0 342.855 * * [simplify]: Extracting #1: cost 53 inf + 0 342.856 * * [simplify]: Extracting #2: cost 105 inf + 0 342.856 * * [simplify]: Extracting #3: cost 115 inf + 0 342.857 * * [simplify]: Extracting #4: cost 111 inf + 729 342.857 * * [simplify]: Extracting #5: cost 95 inf + 3771 342.863 * * [simplify]: Extracting #6: cost 30 inf + 30481 342.873 * * [simplify]: Extracting #7: cost 0 inf + 46624 342.890 * [simplify]: Simplified to (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 342.890 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) 342.890 * * * * [progress]: [ 625 / 2703 ] simplifiying candidate # 342.891 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 342.891 * * [simplify]: iters left: 6 (23 enodes) 342.901 * * [simplify]: iters left: 5 (82 enodes) 342.916 * * [simplify]: iters left: 4 (132 enodes) 342.951 * * [simplify]: iters left: 3 (290 enodes) 343.121 * * [simplify]: Extracting #0: cost 1 inf + 0 343.121 * * [simplify]: Extracting #1: cost 94 inf + 0 343.122 * * [simplify]: Extracting #2: cost 207 inf + 1 343.124 * * [simplify]: Extracting #3: cost 214 inf + 1 343.126 * * [simplify]: Extracting #4: cost 200 inf + 2325 343.129 * * [simplify]: Extracting #5: cost 193 inf + 5408 343.131 * * [simplify]: Extracting #6: cost 183 inf + 6984 343.137 * * [simplify]: Extracting #7: cost 158 inf + 16863 343.151 * * [simplify]: Extracting #8: cost 49 inf + 72992 343.175 * * [simplify]: Extracting #9: cost 0 inf + 98878 343.196 * * [simplify]: Extracting #10: cost 0 inf + 98598 343.225 * [simplify]: Simplified to (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 343.225 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 343.226 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 343.226 * * [simplify]: iters left: 6 (18 enodes) 343.235 * * [simplify]: iters left: 5 (61 enodes) 343.254 * * [simplify]: iters left: 4 (84 enodes) 343.282 * * [simplify]: iters left: 3 (143 enodes) 343.319 * * [simplify]: iters left: 2 (237 enodes) 343.377 * * [simplify]: iters left: 1 (330 enodes) 343.476 * * [simplify]: Extracting #0: cost 1 inf + 0 343.476 * * [simplify]: Extracting #1: cost 38 inf + 0 343.476 * * [simplify]: Extracting #2: cost 74 inf + 0 343.477 * * [simplify]: Extracting #3: cost 80 inf + 0 343.477 * * [simplify]: Extracting #4: cost 75 inf + 588 343.477 * * [simplify]: Extracting #5: cost 68 inf + 3326 343.478 * * [simplify]: Extracting #6: cost 63 inf + 3712 343.481 * * [simplify]: Extracting #7: cost 35 inf + 14432 343.487 * * [simplify]: Extracting #8: cost 3 inf + 29896 343.494 * * [simplify]: Extracting #9: cost 0 inf + 31667 343.508 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 343.509 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 343.509 * * * * [progress]: [ 626 / 2703 ] simplifiying candidate # 343.509 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 343.510 * * [simplify]: iters left: 6 (24 enodes) 343.522 * * [simplify]: iters left: 5 (84 enodes) 343.536 * * [simplify]: iters left: 4 (126 enodes) 343.567 * * [simplify]: iters left: 3 (239 enodes) 343.636 * * [simplify]: Extracting #0: cost 1 inf + 0 343.636 * * [simplify]: Extracting #1: cost 66 inf + 0 343.636 * * [simplify]: Extracting #2: cost 134 inf + 1 343.637 * * [simplify]: Extracting #3: cost 142 inf + 1 343.637 * * [simplify]: Extracting #4: cost 134 inf + 1174 343.638 * * [simplify]: Extracting #5: cost 121 inf + 5447 343.639 * * [simplify]: Extracting #6: cost 112 inf + 7545 343.642 * * [simplify]: Extracting #7: cost 73 inf + 22385 343.658 * * [simplify]: Extracting #8: cost 11 inf + 53625 343.680 * * [simplify]: Extracting #9: cost 0 inf + 59668 343.702 * [simplify]: Simplified to (* (cbrt (cos th)) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 343.702 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 343.703 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 343.703 * * [simplify]: iters left: 6 (19 enodes) 343.712 * * [simplify]: iters left: 5 (64 enodes) 343.732 * * [simplify]: iters left: 4 (87 enodes) 343.756 * * [simplify]: iters left: 3 (146 enodes) 343.784 * * [simplify]: iters left: 2 (240 enodes) 343.881 * * [simplify]: iters left: 1 (333 enodes) 343.979 * * [simplify]: Extracting #0: cost 1 inf + 0 343.979 * * [simplify]: Extracting #1: cost 38 inf + 0 343.979 * * [simplify]: Extracting #2: cost 75 inf + 0 343.980 * * [simplify]: Extracting #3: cost 82 inf + 0 343.980 * * [simplify]: Extracting #4: cost 78 inf + 327 343.980 * * [simplify]: Extracting #5: cost 71 inf + 2984 343.981 * * [simplify]: Extracting #6: cost 64 inf + 3753 343.983 * * [simplify]: Extracting #7: cost 45 inf + 9902 343.988 * * [simplify]: Extracting #8: cost 4 inf + 30637 343.998 * * [simplify]: Extracting #9: cost 0 inf + 32791 344.012 * [simplify]: Simplified to (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 344.013 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 344.013 * * * * [progress]: [ 627 / 2703 ] simplifiying candidate # 344.014 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 344.014 * * [simplify]: iters left: 6 (21 enodes) 344.025 * * [simplify]: iters left: 5 (74 enodes) 344.050 * * [simplify]: iters left: 4 (115 enodes) 344.085 * * [simplify]: iters left: 3 (215 enodes) 344.163 * * [simplify]: iters left: 2 (401 enodes) 344.328 * * [simplify]: Extracting #0: cost 1 inf + 0 344.329 * * [simplify]: Extracting #1: cost 98 inf + 0 344.330 * * [simplify]: Extracting #2: cost 218 inf + 1 344.332 * * [simplify]: Extracting #3: cost 227 inf + 1 344.335 * * [simplify]: Extracting #4: cost 210 inf + 4115 344.339 * * [simplify]: Extracting #5: cost 168 inf + 14880 344.343 * * [simplify]: Extracting #6: cost 163 inf + 15971 344.357 * * [simplify]: Extracting #7: cost 127 inf + 31015 344.382 * * [simplify]: Extracting #8: cost 38 inf + 69858 344.405 * * [simplify]: Extracting #9: cost 1 inf + 87379 344.424 * * [simplify]: Extracting #10: cost 0 inf + 87843 344.442 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (sqrt 2))) 344.442 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 344.442 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 344.442 * * [simplify]: iters left: 6 (16 enodes) 344.446 * * [simplify]: iters left: 5 (55 enodes) 344.457 * * [simplify]: iters left: 4 (75 enodes) 344.470 * * [simplify]: iters left: 3 (109 enodes) 344.487 * * [simplify]: iters left: 2 (156 enodes) 344.520 * * [simplify]: iters left: 1 (203 enodes) 344.579 * * [simplify]: Extracting #0: cost 1 inf + 0 344.579 * * [simplify]: Extracting #1: cost 28 inf + 0 344.579 * * [simplify]: Extracting #2: cost 55 inf + 0 344.579 * * [simplify]: Extracting #3: cost 62 inf + 0 344.579 * * [simplify]: Extracting #4: cost 60 inf + 266 344.580 * * [simplify]: Extracting #5: cost 48 inf + 1740 344.582 * * [simplify]: Extracting #6: cost 13 inf + 13677 344.586 * * [simplify]: Extracting #7: cost 0 inf + 19440 344.590 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 344.590 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (sqrt 2))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 344.590 * * * * [progress]: [ 628 / 2703 ] simplifiying candidate # 344.590 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt 1))) 344.590 * * [simplify]: iters left: 6 (21 enodes) 344.596 * * [simplify]: iters left: 5 (74 enodes) 344.611 * * [simplify]: iters left: 4 (104 enodes) 344.632 * * [simplify]: iters left: 3 (157 enodes) 344.682 * * [simplify]: iters left: 2 (316 enodes) 344.837 * * [simplify]: Extracting #0: cost 1 inf + 0 344.837 * * [simplify]: Extracting #1: cost 39 inf + 0 344.837 * * [simplify]: Extracting #2: cost 65 inf + 1 344.838 * * [simplify]: Extracting #3: cost 71 inf + 1 344.838 * * [simplify]: Extracting #4: cost 67 inf + 550 344.839 * * [simplify]: Extracting #5: cost 58 inf + 2949 344.840 * * [simplify]: Extracting #6: cost 46 inf + 5631 344.841 * * [simplify]: Extracting #7: cost 43 inf + 5754 344.843 * * [simplify]: Extracting #8: cost 26 inf + 10824 344.848 * * [simplify]: Extracting #9: cost 3 inf + 20907 344.854 * * [simplify]: Extracting #10: cost 0 inf + 22438 344.860 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) 344.860 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 344.861 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 344.861 * * [simplify]: iters left: 6 (17 enodes) 344.867 * * [simplify]: iters left: 5 (58 enodes) 344.876 * * [simplify]: iters left: 4 (81 enodes) 344.890 * * [simplify]: iters left: 3 (140 enodes) 344.916 * * [simplify]: iters left: 2 (234 enodes) 344.985 * * [simplify]: iters left: 1 (327 enodes) 345.083 * * [simplify]: Extracting #0: cost 1 inf + 0 345.083 * * [simplify]: Extracting #1: cost 38 inf + 0 345.083 * * [simplify]: Extracting #2: cost 74 inf + 0 345.084 * * [simplify]: Extracting #3: cost 81 inf + 0 345.084 * * [simplify]: Extracting #4: cost 78 inf + 387 345.085 * * [simplify]: Extracting #5: cost 61 inf + 3411 345.088 * * [simplify]: Extracting #6: cost 32 inf + 15042 345.100 * * [simplify]: Extracting #7: cost 1 inf + 27940 345.112 * * [simplify]: Extracting #8: cost 0 inf + 28383 345.127 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 345.127 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 345.127 * * * * [progress]: [ 629 / 2703 ] simplifiying candidate # 345.128 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 345.128 * * [simplify]: iters left: 6 (21 enodes) 345.138 * * [simplify]: iters left: 5 (74 enodes) 345.162 * * [simplify]: iters left: 4 (115 enodes) 345.183 * * [simplify]: iters left: 3 (215 enodes) 345.263 * * [simplify]: iters left: 2 (401 enodes) 345.505 * * [simplify]: Extracting #0: cost 1 inf + 0 345.505 * * [simplify]: Extracting #1: cost 98 inf + 0 345.506 * * [simplify]: Extracting #2: cost 218 inf + 1 345.507 * * [simplify]: Extracting #3: cost 227 inf + 1 345.509 * * [simplify]: Extracting #4: cost 210 inf + 4115 345.511 * * [simplify]: Extracting #5: cost 168 inf + 14880 345.513 * * [simplify]: Extracting #6: cost 163 inf + 15971 345.523 * * [simplify]: Extracting #7: cost 127 inf + 31015 345.549 * * [simplify]: Extracting #8: cost 38 inf + 69858 345.584 * * [simplify]: Extracting #9: cost 1 inf + 87379 345.607 * * [simplify]: Extracting #10: cost 0 inf + 87843 345.631 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (sqrt 2))) 345.631 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 345.632 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 345.632 * * [simplify]: iters left: 6 (16 enodes) 345.636 * * [simplify]: iters left: 5 (55 enodes) 345.644 * * [simplify]: iters left: 4 (75 enodes) 345.656 * * [simplify]: iters left: 3 (109 enodes) 345.689 * * [simplify]: iters left: 2 (156 enodes) 345.743 * * [simplify]: iters left: 1 (203 enodes) 345.801 * * [simplify]: Extracting #0: cost 1 inf + 0 345.801 * * [simplify]: Extracting #1: cost 28 inf + 0 345.801 * * [simplify]: Extracting #2: cost 55 inf + 0 345.801 * * [simplify]: Extracting #3: cost 62 inf + 0 345.801 * * [simplify]: Extracting #4: cost 60 inf + 266 345.802 * * [simplify]: Extracting #5: cost 48 inf + 1740 345.804 * * [simplify]: Extracting #6: cost 13 inf + 13677 345.808 * * [simplify]: Extracting #7: cost 0 inf + 19440 345.812 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 345.812 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (sqrt 2))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 345.812 * * * * [progress]: [ 630 / 2703 ] simplifiying candidate # 345.812 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 1)) 1)) 345.813 * * [simplify]: iters left: 6 (21 enodes) 345.818 * * [simplify]: iters left: 5 (72 enodes) 345.837 * * [simplify]: iters left: 4 (104 enodes) 345.862 * * [simplify]: iters left: 3 (165 enodes) 345.920 * * [simplify]: iters left: 2 (320 enodes) 346.141 * * [simplify]: Extracting #0: cost 1 inf + 0 346.142 * * [simplify]: Extracting #1: cost 25 inf + 0 346.142 * * [simplify]: Extracting #2: cost 54 inf + 1 346.143 * * [simplify]: Extracting #3: cost 60 inf + 1 346.143 * * [simplify]: Extracting #4: cost 55 inf + 591 346.145 * * [simplify]: Extracting #5: cost 43 inf + 4117 346.147 * * [simplify]: Extracting #6: cost 32 inf + 6054 346.150 * * [simplify]: Extracting #7: cost 20 inf + 9767 346.155 * * [simplify]: Extracting #8: cost 1 inf + 18174 346.160 * * [simplify]: Extracting #9: cost 0 inf + 18537 346.165 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 346.165 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 346.165 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 346.166 * * [simplify]: iters left: 6 (17 enodes) 346.170 * * [simplify]: iters left: 5 (58 enodes) 346.179 * * [simplify]: iters left: 4 (81 enodes) 346.203 * * [simplify]: iters left: 3 (140 enodes) 346.248 * * [simplify]: iters left: 2 (234 enodes) 346.321 * * [simplify]: iters left: 1 (327 enodes) 346.432 * * [simplify]: Extracting #0: cost 1 inf + 0 346.433 * * [simplify]: Extracting #1: cost 38 inf + 0 346.433 * * [simplify]: Extracting #2: cost 74 inf + 0 346.434 * * [simplify]: Extracting #3: cost 81 inf + 0 346.434 * * [simplify]: Extracting #4: cost 78 inf + 387 346.435 * * [simplify]: Extracting #5: cost 61 inf + 3411 346.441 * * [simplify]: Extracting #6: cost 32 inf + 15042 346.453 * * [simplify]: Extracting #7: cost 1 inf + 27940 346.466 * * [simplify]: Extracting #8: cost 0 inf + 28383 346.479 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 346.479 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 346.480 * * * * [progress]: [ 631 / 2703 ] simplifiying candidate # 346.480 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 346.480 * * [simplify]: iters left: 6 (22 enodes) 346.490 * * [simplify]: iters left: 5 (77 enodes) 346.515 * * [simplify]: iters left: 4 (125 enodes) 346.564 * * [simplify]: iters left: 3 (292 enodes) 346.738 * * [simplify]: Extracting #0: cost 1 inf + 0 346.738 * * [simplify]: Extracting #1: cost 103 inf + 0 346.740 * * [simplify]: Extracting #2: cost 248 inf + 0 346.742 * * [simplify]: Extracting #3: cost 255 inf + 0 346.744 * * [simplify]: Extracting #4: cost 243 inf + 2058 346.748 * * [simplify]: Extracting #5: cost 217 inf + 13092 346.753 * * [simplify]: Extracting #6: cost 208 inf + 14564 346.759 * * [simplify]: Extracting #7: cost 189 inf + 22620 346.790 * * [simplify]: Extracting #8: cost 72 inf + 94835 346.829 * * [simplify]: Extracting #9: cost 10 inf + 136003 346.857 * * [simplify]: Extracting #10: cost 0 inf + 142379 346.884 * [simplify]: Simplified to (/ (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2)))) 346.884 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 346.884 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 346.885 * * [simplify]: iters left: 6 (20 enodes) 346.891 * * [simplify]: iters left: 5 (67 enodes) 346.904 * * [simplify]: iters left: 4 (91 enodes) 346.930 * * [simplify]: iters left: 3 (156 enodes) 346.959 * * [simplify]: iters left: 2 (284 enodes) 347.043 * * [simplify]: iters left: 1 (469 enodes) 347.211 * * [simplify]: Extracting #0: cost 1 inf + 0 347.211 * * [simplify]: Extracting #1: cost 53 inf + 0 347.211 * * [simplify]: Extracting #2: cost 105 inf + 0 347.212 * * [simplify]: Extracting #3: cost 114 inf + 0 347.212 * * [simplify]: Extracting #4: cost 108 inf + 1091 347.213 * * [simplify]: Extracting #5: cost 101 inf + 3607 347.214 * * [simplify]: Extracting #6: cost 89 inf + 6705 347.218 * * [simplify]: Extracting #7: cost 48 inf + 26254 347.231 * * [simplify]: Extracting #8: cost 4 inf + 48915 347.253 * * [simplify]: Extracting #9: cost 0 inf + 51188 347.276 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 347.276 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 347.277 * * * * [progress]: [ 632 / 2703 ] simplifiying candidate # 347.277 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 347.277 * * [simplify]: iters left: 6 (23 enodes) 347.285 * * [simplify]: iters left: 5 (79 enodes) 347.298 * * [simplify]: iters left: 4 (119 enodes) 347.321 * * [simplify]: iters left: 3 (241 enodes) 347.429 * * [simplify]: Extracting #0: cost 1 inf + 0 347.429 * * [simplify]: Extracting #1: cost 76 inf + 0 347.430 * * [simplify]: Extracting #2: cost 169 inf + 0 347.431 * * [simplify]: Extracting #3: cost 178 inf + 0 347.432 * * [simplify]: Extracting #4: cost 169 inf + 1253 347.434 * * [simplify]: Extracting #5: cost 163 inf + 3830 347.438 * * [simplify]: Extracting #6: cost 133 inf + 13077 347.458 * * [simplify]: Extracting #7: cost 33 inf + 70466 347.489 * * [simplify]: Extracting #8: cost 0 inf + 91780 347.520 * [simplify]: Simplified to (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (cos th))) 347.520 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 347.521 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 347.521 * * [simplify]: iters left: 6 (21 enodes) 347.529 * * [simplify]: iters left: 5 (70 enodes) 347.543 * * [simplify]: iters left: 4 (94 enodes) 347.558 * * [simplify]: iters left: 3 (159 enodes) 347.603 * * [simplify]: iters left: 2 (287 enodes) 347.717 * * [simplify]: iters left: 1 (471 enodes) 347.931 * * [simplify]: Extracting #0: cost 1 inf + 0 347.931 * * [simplify]: Extracting #1: cost 53 inf + 0 347.932 * * [simplify]: Extracting #2: cost 106 inf + 0 347.933 * * [simplify]: Extracting #3: cost 116 inf + 0 347.934 * * [simplify]: Extracting #4: cost 113 inf + 366 347.935 * * [simplify]: Extracting #5: cost 107 inf + 1999 347.937 * * [simplify]: Extracting #6: cost 92 inf + 5942 347.944 * * [simplify]: Extracting #7: cost 54 inf + 22994 347.966 * * [simplify]: Extracting #8: cost 6 inf + 49171 347.989 * * [simplify]: Extracting #9: cost 0 inf + 52552 348.007 * [simplify]: Simplified to (/ (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 348.007 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 348.007 * * * * [progress]: [ 633 / 2703 ] simplifiying candidate # 348.007 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 348.008 * * [simplify]: iters left: 6 (20 enodes) 348.012 * * [simplify]: iters left: 5 (69 enodes) 348.023 * * [simplify]: iters left: 4 (108 enodes) 348.045 * * [simplify]: iters left: 3 (207 enodes) 348.112 * * [simplify]: iters left: 2 (436 enodes) 348.409 * * [simplify]: Extracting #0: cost 1 inf + 0 348.409 * * [simplify]: Extracting #1: cost 83 inf + 0 348.411 * * [simplify]: Extracting #2: cost 145 inf + 0 348.412 * * [simplify]: Extracting #3: cost 156 inf + 0 348.414 * * [simplify]: Extracting #4: cost 149 inf + 1433 348.415 * * [simplify]: Extracting #5: cost 138 inf + 3148 348.418 * * [simplify]: Extracting #6: cost 125 inf + 6769 348.432 * * [simplify]: Extracting #7: cost 57 inf + 37716 348.462 * * [simplify]: Extracting #8: cost 3 inf + 68737 348.480 * * [simplify]: Extracting #9: cost 0 inf + 70428 348.499 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 348.499 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 348.499 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 348.500 * * [simplify]: iters left: 6 (19 enodes) 348.509 * * [simplify]: iters left: 5 (64 enodes) 348.529 * * [simplify]: iters left: 4 (87 enodes) 348.556 * * [simplify]: iters left: 3 (132 enodes) 348.578 * * [simplify]: iters left: 2 (202 enodes) 348.627 * * [simplify]: iters left: 1 (301 enodes) 348.727 * * [simplify]: Extracting #0: cost 1 inf + 0 348.727 * * [simplify]: Extracting #1: cost 39 inf + 0 348.728 * * [simplify]: Extracting #2: cost 76 inf + 0 348.728 * * [simplify]: Extracting #3: cost 84 inf + 0 348.728 * * [simplify]: Extracting #4: cost 79 inf + 569 348.729 * * [simplify]: Extracting #5: cost 60 inf + 4716 348.730 * * [simplify]: Extracting #6: cost 55 inf + 6064 348.732 * * [simplify]: Extracting #7: cost 28 inf + 17407 348.738 * * [simplify]: Extracting #8: cost 1 inf + 30057 348.747 * * [simplify]: Extracting #9: cost 0 inf + 30641 348.760 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) 348.760 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))))) 348.760 * * * * [progress]: [ 634 / 2703 ] simplifiying candidate # 348.761 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 348.761 * * [simplify]: iters left: 6 (22 enodes) 348.772 * * [simplify]: iters left: 5 (77 enodes) 348.785 * * [simplify]: iters left: 4 (107 enodes) 348.814 * * [simplify]: iters left: 3 (185 enodes) 348.892 * * [simplify]: iters left: 2 (329 enodes) 349.038 * * [simplify]: Extracting #0: cost 1 inf + 0 349.038 * * [simplify]: Extracting #1: cost 62 inf + 0 349.039 * * [simplify]: Extracting #2: cost 108 inf + 1 349.040 * * [simplify]: Extracting #3: cost 116 inf + 1 349.044 * * [simplify]: Extracting #4: cost 109 inf + 911 349.046 * * [simplify]: Extracting #5: cost 94 inf + 6166 349.051 * * [simplify]: Extracting #6: cost 67 inf + 14175 349.062 * * [simplify]: Extracting #7: cost 32 inf + 30386 349.082 * * [simplify]: Extracting #8: cost 3 inf + 46738 349.103 * * [simplify]: Extracting #9: cost 0 inf + 48690 349.123 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 349.123 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 349.124 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 349.124 * * [simplify]: iters left: 6 (19 enodes) 349.133 * * [simplify]: iters left: 5 (64 enodes) 349.152 * * [simplify]: iters left: 4 (88 enodes) 349.181 * * [simplify]: iters left: 3 (153 enodes) 349.231 * * [simplify]: iters left: 2 (280 enodes) 349.318 * * [simplify]: iters left: 1 (465 enodes) 349.574 * * [simplify]: Extracting #0: cost 1 inf + 0 349.574 * * [simplify]: Extracting #1: cost 53 inf + 0 349.575 * * [simplify]: Extracting #2: cost 105 inf + 0 349.576 * * [simplify]: Extracting #3: cost 115 inf + 0 349.577 * * [simplify]: Extracting #4: cost 111 inf + 729 349.578 * * [simplify]: Extracting #5: cost 95 inf + 3771 349.589 * * [simplify]: Extracting #6: cost 30 inf + 30481 349.612 * * [simplify]: Extracting #7: cost 0 inf + 46624 349.624 * [simplify]: Simplified to (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 349.624 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) 349.624 * * * * [progress]: [ 635 / 2703 ] simplifiying candidate # 349.624 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 349.625 * * [simplify]: iters left: 6 (20 enodes) 349.629 * * [simplify]: iters left: 5 (69 enodes) 349.641 * * [simplify]: iters left: 4 (108 enodes) 349.672 * * [simplify]: iters left: 3 (207 enodes) 349.758 * * [simplify]: iters left: 2 (436 enodes) 349.988 * * [simplify]: Extracting #0: cost 1 inf + 0 349.988 * * [simplify]: Extracting #1: cost 83 inf + 0 349.989 * * [simplify]: Extracting #2: cost 145 inf + 0 349.990 * * [simplify]: Extracting #3: cost 156 inf + 0 349.991 * * [simplify]: Extracting #4: cost 149 inf + 1433 349.992 * * [simplify]: Extracting #5: cost 138 inf + 3148 349.993 * * [simplify]: Extracting #6: cost 125 inf + 6769 350.001 * * [simplify]: Extracting #7: cost 57 inf + 37716 350.034 * * [simplify]: Extracting #8: cost 3 inf + 68737 350.062 * * [simplify]: Extracting #9: cost 0 inf + 70428 350.078 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 350.078 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 350.079 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 350.079 * * [simplify]: iters left: 6 (19 enodes) 350.085 * * [simplify]: iters left: 5 (64 enodes) 350.104 * * [simplify]: iters left: 4 (87 enodes) 350.123 * * [simplify]: iters left: 3 (132 enodes) 350.148 * * [simplify]: iters left: 2 (202 enodes) 350.228 * * [simplify]: iters left: 1 (301 enodes) 350.321 * * [simplify]: Extracting #0: cost 1 inf + 0 350.321 * * [simplify]: Extracting #1: cost 39 inf + 0 350.322 * * [simplify]: Extracting #2: cost 76 inf + 0 350.322 * * [simplify]: Extracting #3: cost 84 inf + 0 350.322 * * [simplify]: Extracting #4: cost 79 inf + 569 350.323 * * [simplify]: Extracting #5: cost 60 inf + 4716 350.324 * * [simplify]: Extracting #6: cost 55 inf + 6064 350.326 * * [simplify]: Extracting #7: cost 28 inf + 17407 350.334 * * [simplify]: Extracting #8: cost 1 inf + 30057 350.340 * * [simplify]: Extracting #9: cost 0 inf + 30641 350.346 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) 350.346 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))))) 350.347 * * * * [progress]: [ 636 / 2703 ] simplifiying candidate # 350.347 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 350.347 * * [simplify]: iters left: 6 (21 enodes) 350.352 * * [simplify]: iters left: 5 (72 enodes) 350.364 * * [simplify]: iters left: 4 (104 enodes) 350.383 * * [simplify]: iters left: 3 (188 enodes) 350.457 * * [simplify]: iters left: 2 (343 enodes) 350.632 * * [simplify]: Extracting #0: cost 1 inf + 0 350.632 * * [simplify]: Extracting #1: cost 62 inf + 0 350.633 * * [simplify]: Extracting #2: cost 103 inf + 1 350.634 * * [simplify]: Extracting #3: cost 111 inf + 1 350.635 * * [simplify]: Extracting #4: cost 104 inf + 911 350.637 * * [simplify]: Extracting #5: cost 89 inf + 6165 350.639 * * [simplify]: Extracting #6: cost 66 inf + 13667 350.645 * * [simplify]: Extracting #7: cost 25 inf + 32117 350.654 * * [simplify]: Extracting #8: cost 1 inf + 46069 350.666 * * [simplify]: Extracting #9: cost 0 inf + 46813 350.678 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 350.678 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 350.678 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 350.679 * * [simplify]: iters left: 6 (19 enodes) 350.688 * * [simplify]: iters left: 5 (64 enodes) 350.708 * * [simplify]: iters left: 4 (88 enodes) 350.728 * * [simplify]: iters left: 3 (153 enodes) 350.758 * * [simplify]: iters left: 2 (280 enodes) 350.883 * * [simplify]: iters left: 1 (465 enodes) 351.076 * * [simplify]: Extracting #0: cost 1 inf + 0 351.076 * * [simplify]: Extracting #1: cost 53 inf + 0 351.077 * * [simplify]: Extracting #2: cost 105 inf + 0 351.077 * * [simplify]: Extracting #3: cost 115 inf + 0 351.077 * * [simplify]: Extracting #4: cost 111 inf + 729 351.078 * * [simplify]: Extracting #5: cost 95 inf + 3771 351.083 * * [simplify]: Extracting #6: cost 30 inf + 30481 351.094 * * [simplify]: Extracting #7: cost 0 inf + 46624 351.107 * [simplify]: Simplified to (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 351.107 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) 351.108 * * * * [progress]: [ 637 / 2703 ] simplifiying candidate # 351.108 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 351.108 * * [simplify]: iters left: 6 (22 enodes) 351.120 * * [simplify]: iters left: 5 (79 enodes) 351.143 * * [simplify]: iters left: 4 (127 enodes) 351.180 * * [simplify]: iters left: 3 (308 enodes) 351.343 * * [simplify]: Extracting #0: cost 1 inf + 0 351.344 * * [simplify]: Extracting #1: cost 97 inf + 0 351.344 * * [simplify]: Extracting #2: cost 221 inf + 1 351.345 * * [simplify]: Extracting #3: cost 227 inf + 1 351.346 * * [simplify]: Extracting #4: cost 216 inf + 1779 351.348 * * [simplify]: Extracting #5: cost 206 inf + 6010 351.349 * * [simplify]: Extracting #6: cost 197 inf + 6983 351.352 * * [simplify]: Extracting #7: cost 174 inf + 15888 351.370 * * [simplify]: Extracting #8: cost 60 inf + 74835 351.411 * * [simplify]: Extracting #9: cost 3 inf + 106144 351.456 * * [simplify]: Extracting #10: cost 0 inf + 107653 351.491 * [simplify]: Simplified to (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 351.491 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 351.494 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 351.494 * * [simplify]: iters left: 6 (18 enodes) 351.499 * * [simplify]: iters left: 5 (61 enodes) 351.509 * * [simplify]: iters left: 4 (84 enodes) 351.536 * * [simplify]: iters left: 3 (143 enodes) 351.590 * * [simplify]: iters left: 2 (237 enodes) 351.671 * * [simplify]: iters left: 1 (330 enodes) 351.777 * * [simplify]: Extracting #0: cost 1 inf + 0 351.777 * * [simplify]: Extracting #1: cost 38 inf + 0 351.777 * * [simplify]: Extracting #2: cost 74 inf + 0 351.778 * * [simplify]: Extracting #3: cost 80 inf + 0 351.779 * * [simplify]: Extracting #4: cost 75 inf + 588 351.780 * * [simplify]: Extracting #5: cost 68 inf + 3326 351.781 * * [simplify]: Extracting #6: cost 63 inf + 3712 351.785 * * [simplify]: Extracting #7: cost 35 inf + 14432 351.798 * * [simplify]: Extracting #8: cost 3 inf + 29896 351.812 * * [simplify]: Extracting #9: cost 0 inf + 31667 351.827 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 351.827 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 351.828 * * * * [progress]: [ 638 / 2703 ] simplifiying candidate # 351.828 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 351.828 * * [simplify]: iters left: 6 (23 enodes) 351.841 * * [simplify]: iters left: 5 (81 enodes) 351.866 * * [simplify]: iters left: 4 (118 enodes) 351.894 * * [simplify]: iters left: 3 (221 enodes) 351.957 * * [simplify]: iters left: 2 (450 enodes) 352.309 * * [simplify]: Extracting #0: cost 1 inf + 0 352.310 * * [simplify]: Extracting #1: cost 62 inf + 0 352.310 * * [simplify]: Extracting #2: cost 125 inf + 1 352.312 * * [simplify]: Extracting #3: cost 135 inf + 1 352.313 * * [simplify]: Extracting #4: cost 125 inf + 1457 352.315 * * [simplify]: Extracting #5: cost 116 inf + 5042 352.318 * * [simplify]: Extracting #6: cost 113 inf + 5427 352.323 * * [simplify]: Extracting #7: cost 80 inf + 16900 352.344 * * [simplify]: Extracting #8: cost 20 inf + 47332 352.374 * * [simplify]: Extracting #9: cost 1 inf + 58107 352.408 * * [simplify]: Extracting #10: cost 0 inf + 58651 352.433 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 352.433 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 352.433 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 352.433 * * [simplify]: iters left: 6 (19 enodes) 352.438 * * [simplify]: iters left: 5 (64 enodes) 352.448 * * [simplify]: iters left: 4 (87 enodes) 352.470 * * [simplify]: iters left: 3 (146 enodes) 352.523 * * [simplify]: iters left: 2 (240 enodes) 352.617 * * [simplify]: iters left: 1 (333 enodes) 352.713 * * [simplify]: Extracting #0: cost 1 inf + 0 352.714 * * [simplify]: Extracting #1: cost 38 inf + 0 352.714 * * [simplify]: Extracting #2: cost 75 inf + 0 352.714 * * [simplify]: Extracting #3: cost 82 inf + 0 352.714 * * [simplify]: Extracting #4: cost 78 inf + 327 352.715 * * [simplify]: Extracting #5: cost 71 inf + 2984 352.716 * * [simplify]: Extracting #6: cost 64 inf + 3753 352.717 * * [simplify]: Extracting #7: cost 45 inf + 9902 352.728 * * [simplify]: Extracting #8: cost 4 inf + 30637 352.743 * * [simplify]: Extracting #9: cost 0 inf + 32791 352.758 * [simplify]: Simplified to (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 352.758 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 352.759 * * * * [progress]: [ 639 / 2703 ] simplifiying candidate # 352.759 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 352.759 * * [simplify]: iters left: 6 (20 enodes) 352.769 * * [simplify]: iters left: 5 (71 enodes) 352.792 * * [simplify]: iters left: 4 (106 enodes) 352.829 * * [simplify]: iters left: 3 (188 enodes) 352.888 * * [simplify]: iters left: 2 (382 enodes) 353.207 * * [simplify]: Extracting #0: cost 1 inf + 0 353.207 * * [simplify]: Extracting #1: cost 41 inf + 0 353.208 * * [simplify]: Extracting #2: cost 79 inf + 1 353.209 * * [simplify]: Extracting #3: cost 86 inf + 1 353.210 * * [simplify]: Extracting #4: cost 84 inf + 267 353.211 * * [simplify]: Extracting #5: cost 64 inf + 4218 353.214 * * [simplify]: Extracting #6: cost 49 inf + 7593 353.221 * * [simplify]: Extracting #7: cost 26 inf + 17555 353.235 * * [simplify]: Extracting #8: cost 4 inf + 26371 353.255 * * [simplify]: Extracting #9: cost 0 inf + 28226 353.271 * [simplify]: Simplified to (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) 353.271 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 353.271 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 353.272 * * [simplify]: iters left: 6 (16 enodes) 353.279 * * [simplify]: iters left: 5 (55 enodes) 353.297 * * [simplify]: iters left: 4 (75 enodes) 353.320 * * [simplify]: iters left: 3 (109 enodes) 353.347 * * [simplify]: iters left: 2 (156 enodes) 353.376 * * [simplify]: iters left: 1 (203 enodes) 353.447 * * [simplify]: Extracting #0: cost 1 inf + 0 353.447 * * [simplify]: Extracting #1: cost 28 inf + 0 353.447 * * [simplify]: Extracting #2: cost 55 inf + 0 353.448 * * [simplify]: Extracting #3: cost 62 inf + 0 353.448 * * [simplify]: Extracting #4: cost 60 inf + 266 353.449 * * [simplify]: Extracting #5: cost 48 inf + 1740 353.453 * * [simplify]: Extracting #6: cost 13 inf + 13677 353.458 * * [simplify]: Extracting #7: cost 0 inf + 19440 353.462 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 353.462 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 353.462 * * * * [progress]: [ 640 / 2703 ] simplifiying candidate # 353.462 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt 1))) 353.462 * * [simplify]: iters left: 6 (21 enodes) 353.469 * * [simplify]: iters left: 5 (74 enodes) 353.483 * * [simplify]: iters left: 4 (100 enodes) 353.500 * * [simplify]: iters left: 3 (153 enodes) 353.541 * * [simplify]: iters left: 2 (275 enodes) 353.707 * * [simplify]: iters left: 1 (433 enodes) 353.946 * * [simplify]: Extracting #0: cost 1 inf + 0 353.946 * * [simplify]: Extracting #1: cost 25 inf + 0 353.947 * * [simplify]: Extracting #2: cost 48 inf + 1 353.947 * * [simplify]: Extracting #3: cost 54 inf + 1 353.948 * * [simplify]: Extracting #4: cost 50 inf + 429 353.949 * * [simplify]: Extracting #5: cost 41 inf + 3069 353.951 * * [simplify]: Extracting #6: cost 32 inf + 4844 353.955 * * [simplify]: Extracting #7: cost 19 inf + 7633 353.963 * * [simplify]: Extracting #8: cost 3 inf + 14911 353.974 * * [simplify]: Extracting #9: cost 0 inf + 16241 353.981 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 353.981 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 353.982 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 353.982 * * [simplify]: iters left: 6 (17 enodes) 353.985 * * [simplify]: iters left: 5 (58 enodes) 353.995 * * [simplify]: iters left: 4 (81 enodes) 354.008 * * [simplify]: iters left: 3 (140 enodes) 354.049 * * [simplify]: iters left: 2 (234 enodes) 354.100 * * [simplify]: iters left: 1 (327 enodes) 354.201 * * [simplify]: Extracting #0: cost 1 inf + 0 354.201 * * [simplify]: Extracting #1: cost 38 inf + 0 354.202 * * [simplify]: Extracting #2: cost 74 inf + 0 354.202 * * [simplify]: Extracting #3: cost 81 inf + 0 354.203 * * [simplify]: Extracting #4: cost 78 inf + 387 354.204 * * [simplify]: Extracting #5: cost 61 inf + 3411 354.209 * * [simplify]: Extracting #6: cost 32 inf + 15042 354.221 * * [simplify]: Extracting #7: cost 1 inf + 27940 354.234 * * [simplify]: Extracting #8: cost 0 inf + 28383 354.247 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 354.247 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 354.248 * * * * [progress]: [ 641 / 2703 ] simplifiying candidate # 354.248 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 354.248 * * [simplify]: iters left: 6 (20 enodes) 354.259 * * [simplify]: iters left: 5 (71 enodes) 354.280 * * [simplify]: iters left: 4 (106 enodes) 354.298 * * [simplify]: iters left: 3 (188 enodes) 354.380 * * [simplify]: iters left: 2 (382 enodes) 354.624 * * [simplify]: Extracting #0: cost 1 inf + 0 354.624 * * [simplify]: Extracting #1: cost 41 inf + 0 354.624 * * [simplify]: Extracting #2: cost 79 inf + 1 354.625 * * [simplify]: Extracting #3: cost 86 inf + 1 354.625 * * [simplify]: Extracting #4: cost 84 inf + 267 354.626 * * [simplify]: Extracting #5: cost 64 inf + 4218 354.627 * * [simplify]: Extracting #6: cost 49 inf + 7593 354.631 * * [simplify]: Extracting #7: cost 26 inf + 17555 354.638 * * [simplify]: Extracting #8: cost 4 inf + 26371 354.651 * * [simplify]: Extracting #9: cost 0 inf + 28226 354.667 * [simplify]: Simplified to (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) 354.667 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 354.668 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 354.668 * * [simplify]: iters left: 6 (16 enodes) 354.675 * * [simplify]: iters left: 5 (55 enodes) 354.684 * * [simplify]: iters left: 4 (75 enodes) 354.695 * * [simplify]: iters left: 3 (109 enodes) 354.718 * * [simplify]: iters left: 2 (156 enodes) 354.749 * * [simplify]: iters left: 1 (203 enodes) 354.793 * * [simplify]: Extracting #0: cost 1 inf + 0 354.793 * * [simplify]: Extracting #1: cost 28 inf + 0 354.793 * * [simplify]: Extracting #2: cost 55 inf + 0 354.793 * * [simplify]: Extracting #3: cost 62 inf + 0 354.793 * * [simplify]: Extracting #4: cost 60 inf + 266 354.794 * * [simplify]: Extracting #5: cost 48 inf + 1740 354.798 * * [simplify]: Extracting #6: cost 13 inf + 13677 354.806 * * [simplify]: Extracting #7: cost 0 inf + 19440 354.814 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 354.814 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 354.815 * * * * [progress]: [ 642 / 2703 ] simplifiying candidate # 354.815 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt 1) 1)) 354.815 * * [simplify]: iters left: 6 (20 enodes) 354.828 * * [simplify]: iters left: 5 (69 enodes) 354.852 * * [simplify]: iters left: 4 (90 enodes) 354.867 * * [simplify]: iters left: 3 (143 enodes) 354.909 * * [simplify]: iters left: 2 (231 enodes) 355.045 * * [simplify]: iters left: 1 (383 enodes) 355.366 * * [simplify]: Extracting #0: cost 1 inf + 0 355.366 * * [simplify]: Extracting #1: cost 25 inf + 0 355.366 * * [simplify]: Extracting #2: cost 48 inf + 1 355.367 * * [simplify]: Extracting #3: cost 54 inf + 1 355.367 * * [simplify]: Extracting #4: cost 51 inf + 267 355.368 * * [simplify]: Extracting #5: cost 37 inf + 4277 355.369 * * [simplify]: Extracting #6: cost 32 inf + 4844 355.371 * * [simplify]: Extracting #7: cost 17 inf + 8942 355.376 * * [simplify]: Extracting #8: cost 1 inf + 15858 355.382 * * [simplify]: Extracting #9: cost 0 inf + 16241 355.388 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 355.388 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 355.388 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 355.388 * * [simplify]: iters left: 6 (17 enodes) 355.394 * * [simplify]: iters left: 5 (58 enodes) 355.414 * * [simplify]: iters left: 4 (81 enodes) 355.441 * * [simplify]: iters left: 3 (140 enodes) 355.491 * * [simplify]: iters left: 2 (234 enodes) 355.573 * * [simplify]: iters left: 1 (327 enodes) 355.672 * * [simplify]: Extracting #0: cost 1 inf + 0 355.672 * * [simplify]: Extracting #1: cost 38 inf + 0 355.672 * * [simplify]: Extracting #2: cost 74 inf + 0 355.672 * * [simplify]: Extracting #3: cost 81 inf + 0 355.673 * * [simplify]: Extracting #4: cost 78 inf + 387 355.673 * * [simplify]: Extracting #5: cost 61 inf + 3411 355.676 * * [simplify]: Extracting #6: cost 32 inf + 15042 355.683 * * [simplify]: Extracting #7: cost 1 inf + 27940 355.689 * * [simplify]: Extracting #8: cost 0 inf + 28383 355.702 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 355.702 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 355.702 * * * * [progress]: [ 643 / 2703 ] simplifiying candidate # 355.703 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 355.703 * * [simplify]: iters left: 6 (22 enodes) 355.711 * * [simplify]: iters left: 5 (81 enodes) 355.725 * * [simplify]: iters left: 4 (157 enodes) 355.783 * * [simplify]: iters left: 3 (474 enodes) 356.081 * * [simplify]: Extracting #0: cost 1 inf + 0 356.082 * * [simplify]: Extracting #1: cost 188 inf + 0 356.084 * * [simplify]: Extracting #2: cost 470 inf + 0 356.092 * * [simplify]: Extracting #3: cost 479 inf + 0 356.098 * * [simplify]: Extracting #4: cost 442 inf + 12023 356.106 * * [simplify]: Extracting #5: cost 419 inf + 22934 356.114 * * [simplify]: Extracting #6: cost 409 inf + 24268 356.129 * * [simplify]: Extracting #7: cost 364 inf + 52027 356.162 * * [simplify]: Extracting #8: cost 166 inf + 182088 356.240 * * [simplify]: Extracting #9: cost 9 inf + 289200 356.324 * * [simplify]: Extracting #10: cost 0 inf + 295672 356.415 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 356.415 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 356.415 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 356.416 * * [simplify]: iters left: 6 (19 enodes) 356.424 * * [simplify]: iters left: 5 (64 enodes) 356.444 * * [simplify]: iters left: 4 (88 enodes) 356.472 * * [simplify]: iters left: 3 (153 enodes) 356.516 * * [simplify]: iters left: 2 (280 enodes) 356.596 * * [simplify]: iters left: 1 (464 enodes) 356.733 * * [simplify]: Extracting #0: cost 1 inf + 0 356.733 * * [simplify]: Extracting #1: cost 53 inf + 0 356.734 * * [simplify]: Extracting #2: cost 104 inf + 0 356.734 * * [simplify]: Extracting #3: cost 112 inf + 0 356.735 * * [simplify]: Extracting #4: cost 108 inf + 427 356.736 * * [simplify]: Extracting #5: cost 98 inf + 4168 356.737 * * [simplify]: Extracting #6: cost 88 inf + 6544 356.740 * * [simplify]: Extracting #7: cost 46 inf + 25754 356.751 * * [simplify]: Extracting #8: cost 0 inf + 50826 356.764 * [simplify]: Simplified to (/ (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 356.764 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 356.764 * * * * [progress]: [ 644 / 2703 ] simplifiying candidate # 356.764 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 356.764 * * [simplify]: iters left: 6 (23 enodes) 356.770 * * [simplify]: iters left: 5 (81 enodes) 356.787 * * [simplify]: iters left: 4 (133 enodes) 356.838 * * [simplify]: iters left: 3 (339 enodes) 356.991 * * [simplify]: Extracting #0: cost 1 inf + 0 356.991 * * [simplify]: Extracting #1: cost 126 inf + 0 356.992 * * [simplify]: Extracting #2: cost 294 inf + 0 356.993 * * [simplify]: Extracting #3: cost 302 inf + 0 356.995 * * [simplify]: Extracting #4: cost 288 inf + 2862 356.998 * * [simplify]: Extracting #5: cost 262 inf + 14418 357.001 * * [simplify]: Extracting #6: cost 234 inf + 24024 357.009 * * [simplify]: Extracting #7: cost 205 inf + 37954 357.045 * * [simplify]: Extracting #8: cost 52 inf + 137808 357.108 * * [simplify]: Extracting #9: cost 0 inf + 174282 357.157 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 357.157 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 357.158 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 357.158 * * [simplify]: iters left: 6 (20 enodes) 357.164 * * [simplify]: iters left: 5 (67 enodes) 357.184 * * [simplify]: iters left: 4 (91 enodes) 357.213 * * [simplify]: iters left: 3 (156 enodes) 357.270 * * [simplify]: iters left: 2 (284 enodes) 357.354 * * [simplify]: iters left: 1 (471 enodes) 357.482 * * [simplify]: Extracting #0: cost 1 inf + 0 357.482 * * [simplify]: Extracting #1: cost 53 inf + 0 357.483 * * [simplify]: Extracting #2: cost 105 inf + 0 357.483 * * [simplify]: Extracting #3: cost 114 inf + 0 357.484 * * [simplify]: Extracting #4: cost 109 inf + 789 357.484 * * [simplify]: Extracting #5: cost 102 inf + 3566 357.485 * * [simplify]: Extracting #6: cost 90 inf + 6544 357.488 * * [simplify]: Extracting #7: cost 65 inf + 16398 357.494 * * [simplify]: Extracting #8: cost 37 inf + 31690 357.505 * * [simplify]: Extracting #9: cost 2 inf + 50763 357.516 * * [simplify]: Extracting #10: cost 0 inf + 52190 357.528 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 357.528 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 357.528 * * * * [progress]: [ 645 / 2703 ] simplifiying candidate # 357.529 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 357.529 * * [simplify]: iters left: 6 (20 enodes) 357.534 * * [simplify]: iters left: 5 (71 enodes) 357.560 * * [simplify]: iters left: 4 (121 enodes) 357.599 * * [simplify]: iters left: 3 (300 enodes) 357.750 * * [simplify]: Extracting #0: cost 1 inf + 0 357.750 * * [simplify]: Extracting #1: cost 104 inf + 0 357.752 * * [simplify]: Extracting #2: cost 228 inf + 0 357.754 * * [simplify]: Extracting #3: cost 235 inf + 0 357.756 * * [simplify]: Extracting #4: cost 225 inf + 2337 357.765 * * [simplify]: Extracting #5: cost 145 inf + 35154 357.787 * * [simplify]: Extracting #6: cost 24 inf + 103646 357.818 * * [simplify]: Extracting #7: cost 0 inf + 119460 357.865 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 357.865 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 357.868 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 357.868 * * [simplify]: iters left: 6 (18 enodes) 357.877 * * [simplify]: iters left: 5 (61 enodes) 357.895 * * [simplify]: iters left: 4 (84 enodes) 357.921 * * [simplify]: iters left: 3 (129 enodes) 357.959 * * [simplify]: iters left: 2 (199 enodes) 358.000 * * [simplify]: iters left: 1 (298 enodes) 358.077 * * [simplify]: Extracting #0: cost 1 inf + 0 358.077 * * [simplify]: Extracting #1: cost 39 inf + 0 358.077 * * [simplify]: Extracting #2: cost 75 inf + 0 358.078 * * [simplify]: Extracting #3: cost 82 inf + 0 358.078 * * [simplify]: Extracting #4: cost 79 inf + 467 358.079 * * [simplify]: Extracting #5: cost 61 inf + 4894 358.080 * * [simplify]: Extracting #6: cost 55 inf + 5902 358.082 * * [simplify]: Extracting #7: cost 27 inf + 16887 358.088 * * [simplify]: Extracting #8: cost 1 inf + 29916 358.098 * * [simplify]: Extracting #9: cost 0 inf + 30359 358.112 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 358.112 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 358.112 * * * * [progress]: [ 646 / 2703 ] simplifiying candidate # 358.112 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 358.113 * * [simplify]: iters left: 6 (22 enodes) 358.125 * * [simplify]: iters left: 5 (79 enodes) 358.147 * * [simplify]: iters left: 4 (121 enodes) 358.173 * * [simplify]: iters left: 3 (273 enodes) 358.283 * * [simplify]: Extracting #0: cost 1 inf + 0 358.283 * * [simplify]: Extracting #1: cost 87 inf + 0 358.284 * * [simplify]: Extracting #2: cost 173 inf + 1 358.285 * * [simplify]: Extracting #3: cost 180 inf + 1 358.287 * * [simplify]: Extracting #4: cost 172 inf + 1334 358.289 * * [simplify]: Extracting #5: cost 156 inf + 7449 358.295 * * [simplify]: Extracting #6: cost 105 inf + 25245 358.306 * * [simplify]: Extracting #7: cost 71 inf + 41831 358.336 * * [simplify]: Extracting #8: cost 7 inf + 79586 358.366 * * [simplify]: Extracting #9: cost 0 inf + 83111 358.385 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 358.385 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 358.385 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 358.386 * * [simplify]: iters left: 6 (18 enodes) 358.390 * * [simplify]: iters left: 5 (61 enodes) 358.400 * * [simplify]: iters left: 4 (85 enodes) 358.422 * * [simplify]: iters left: 3 (150 enodes) 358.453 * * [simplify]: iters left: 2 (278 enodes) 358.532 * * [simplify]: iters left: 1 (459 enodes) 358.723 * * [simplify]: Extracting #0: cost 1 inf + 0 358.723 * * [simplify]: Extracting #1: cost 53 inf + 0 358.724 * * [simplify]: Extracting #2: cost 103 inf + 0 358.725 * * [simplify]: Extracting #3: cost 112 inf + 0 358.726 * * [simplify]: Extracting #4: cost 109 inf + 427 358.727 * * [simplify]: Extracting #5: cost 96 inf + 2725 358.735 * * [simplify]: Extracting #6: cost 31 inf + 30838 358.747 * * [simplify]: Extracting #7: cost 0 inf + 45840 358.758 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))) 358.758 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))))) 358.758 * * * * [progress]: [ 647 / 2703 ] simplifiying candidate # 358.760 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 358.760 * * [simplify]: iters left: 6 (20 enodes) 358.765 * * [simplify]: iters left: 5 (71 enodes) 358.784 * * [simplify]: iters left: 4 (121 enodes) 358.811 * * [simplify]: iters left: 3 (300 enodes) 358.950 * * [simplify]: Extracting #0: cost 1 inf + 0 358.950 * * [simplify]: Extracting #1: cost 104 inf + 0 358.952 * * [simplify]: Extracting #2: cost 228 inf + 0 358.954 * * [simplify]: Extracting #3: cost 235 inf + 0 358.956 * * [simplify]: Extracting #4: cost 225 inf + 2337 358.965 * * [simplify]: Extracting #5: cost 145 inf + 35154 358.987 * * [simplify]: Extracting #6: cost 24 inf + 103646 359.017 * * [simplify]: Extracting #7: cost 0 inf + 119460 359.042 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 359.043 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 359.043 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 359.043 * * [simplify]: iters left: 6 (18 enodes) 359.049 * * [simplify]: iters left: 5 (61 enodes) 359.068 * * [simplify]: iters left: 4 (84 enodes) 359.095 * * [simplify]: iters left: 3 (129 enodes) 359.138 * * [simplify]: iters left: 2 (199 enodes) 359.197 * * [simplify]: iters left: 1 (298 enodes) 359.285 * * [simplify]: Extracting #0: cost 1 inf + 0 359.285 * * [simplify]: Extracting #1: cost 39 inf + 0 359.285 * * [simplify]: Extracting #2: cost 75 inf + 0 359.286 * * [simplify]: Extracting #3: cost 82 inf + 0 359.286 * * [simplify]: Extracting #4: cost 79 inf + 467 359.287 * * [simplify]: Extracting #5: cost 61 inf + 4894 359.287 * * [simplify]: Extracting #6: cost 55 inf + 5902 359.290 * * [simplify]: Extracting #7: cost 27 inf + 16887 359.301 * * [simplify]: Extracting #8: cost 1 inf + 29916 359.314 * * [simplify]: Extracting #9: cost 0 inf + 30359 359.327 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 359.327 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 359.327 * * * * [progress]: [ 648 / 2703 ] simplifiying candidate # 359.328 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 359.328 * * [simplify]: iters left: 6 (21 enodes) 359.338 * * [simplify]: iters left: 5 (74 enodes) 359.367 * * [simplify]: iters left: 4 (124 enodes) 359.397 * * [simplify]: iters left: 3 (290 enodes) 359.547 * * [simplify]: Extracting #0: cost 1 inf + 0 359.547 * * [simplify]: Extracting #1: cost 82 inf + 0 359.548 * * [simplify]: Extracting #2: cost 169 inf + 1 359.548 * * [simplify]: Extracting #3: cost 176 inf + 1 359.549 * * [simplify]: Extracting #4: cost 169 inf + 1032 359.550 * * [simplify]: Extracting #5: cost 143 inf + 10424 359.556 * * [simplify]: Extracting #6: cost 83 inf + 34224 359.582 * * [simplify]: Extracting #7: cost 10 inf + 74091 359.612 * * [simplify]: Extracting #8: cost 0 inf + 80014 359.643 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 359.643 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 359.643 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 359.644 * * [simplify]: iters left: 6 (18 enodes) 359.652 * * [simplify]: iters left: 5 (61 enodes) 359.671 * * [simplify]: iters left: 4 (85 enodes) 359.702 * * [simplify]: iters left: 3 (150 enodes) 359.758 * * [simplify]: iters left: 2 (278 enodes) 359.888 * * [simplify]: iters left: 1 (459 enodes) 360.039 * * [simplify]: Extracting #0: cost 1 inf + 0 360.039 * * [simplify]: Extracting #1: cost 53 inf + 0 360.039 * * [simplify]: Extracting #2: cost 103 inf + 0 360.041 * * [simplify]: Extracting #3: cost 112 inf + 0 360.042 * * [simplify]: Extracting #4: cost 109 inf + 427 360.043 * * [simplify]: Extracting #5: cost 96 inf + 2725 360.052 * * [simplify]: Extracting #6: cost 31 inf + 30838 360.072 * * [simplify]: Extracting #7: cost 0 inf + 45840 360.092 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))) 360.092 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))))) 360.093 * * * * [progress]: [ 649 / 2703 ] simplifiying candidate # 360.093 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 360.093 * * [simplify]: iters left: 6 (21 enodes) 360.104 * * [simplify]: iters left: 5 (74 enodes) 360.127 * * [simplify]: iters left: 4 (122 enodes) 360.173 * * [simplify]: iters left: 3 (289 enodes) 360.318 * * [simplify]: Extracting #0: cost 1 inf + 0 360.318 * * [simplify]: Extracting #1: cost 104 inf + 0 360.319 * * [simplify]: Extracting #2: cost 251 inf + 0 360.321 * * [simplify]: Extracting #3: cost 257 inf + 0 360.323 * * [simplify]: Extracting #4: cost 246 inf + 1856 360.327 * * [simplify]: Extracting #5: cost 222 inf + 11388 360.331 * * [simplify]: Extracting #6: cost 212 inf + 13122 360.340 * * [simplify]: Extracting #7: cost 170 inf + 34119 360.379 * * [simplify]: Extracting #8: cost 37 inf + 114374 360.415 * * [simplify]: Extracting #9: cost 0 inf + 138433 360.462 * [simplify]: Simplified to (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 360.462 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 360.463 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 360.463 * * [simplify]: iters left: 6 (19 enodes) 360.472 * * [simplify]: iters left: 5 (64 enodes) 360.491 * * [simplify]: iters left: 4 (88 enodes) 360.520 * * [simplify]: iters left: 3 (153 enodes) 360.578 * * [simplify]: iters left: 2 (280 enodes) 360.673 * * [simplify]: iters left: 1 (464 enodes) 360.874 * * [simplify]: Extracting #0: cost 1 inf + 0 360.874 * * [simplify]: Extracting #1: cost 53 inf + 0 360.875 * * [simplify]: Extracting #2: cost 104 inf + 0 360.875 * * [simplify]: Extracting #3: cost 112 inf + 0 360.876 * * [simplify]: Extracting #4: cost 108 inf + 427 360.878 * * [simplify]: Extracting #5: cost 98 inf + 3848 360.880 * * [simplify]: Extracting #6: cost 88 inf + 6024 360.887 * * [simplify]: Extracting #7: cost 46 inf + 24394 360.908 * * [simplify]: Extracting #8: cost 0 inf + 48386 360.934 * [simplify]: Simplified to (/ (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 360.934 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 360.934 * * * * [progress]: [ 650 / 2703 ] simplifiying candidate # 360.935 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 360.935 * * [simplify]: iters left: 6 (22 enodes) 360.946 * * [simplify]: iters left: 5 (76 enodes) 360.970 * * [simplify]: iters left: 4 (116 enodes) 361.001 * * [simplify]: iters left: 3 (238 enodes) 361.067 * * [simplify]: Extracting #0: cost 1 inf + 0 361.067 * * [simplify]: Extracting #1: cost 75 inf + 0 361.068 * * [simplify]: Extracting #2: cost 167 inf + 0 361.069 * * [simplify]: Extracting #3: cost 175 inf + 0 361.069 * * [simplify]: Extracting #4: cost 169 inf + 749 361.071 * * [simplify]: Extracting #5: cost 151 inf + 7287 361.075 * * [simplify]: Extracting #6: cost 134 inf + 12958 361.078 * * [simplify]: Extracting #7: cost 130 inf + 13122 361.082 * * [simplify]: Extracting #8: cost 117 inf + 18159 361.100 * * [simplify]: Extracting #9: cost 39 inf + 62449 361.126 * * [simplify]: Extracting #10: cost 0 inf + 86394 361.144 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 361.144 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 361.144 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 361.144 * * [simplify]: iters left: 6 (20 enodes) 361.149 * * [simplify]: iters left: 5 (67 enodes) 361.160 * * [simplify]: iters left: 4 (91 enodes) 361.178 * * [simplify]: iters left: 3 (156 enodes) 361.231 * * [simplify]: iters left: 2 (284 enodes) 361.300 * * [simplify]: iters left: 1 (471 enodes) 361.520 * * [simplify]: Extracting #0: cost 1 inf + 0 361.520 * * [simplify]: Extracting #1: cost 53 inf + 0 361.521 * * [simplify]: Extracting #2: cost 105 inf + 0 361.522 * * [simplify]: Extracting #3: cost 114 inf + 0 361.523 * * [simplify]: Extracting #4: cost 109 inf + 789 361.525 * * [simplify]: Extracting #5: cost 102 inf + 3366 361.527 * * [simplify]: Extracting #6: cost 90 inf + 6024 361.531 * * [simplify]: Extracting #7: cost 65 inf + 15478 361.536 * * [simplify]: Extracting #8: cost 37 inf + 30010 361.547 * * [simplify]: Extracting #9: cost 2 inf + 48403 361.559 * * [simplify]: Extracting #10: cost 0 inf + 49750 361.582 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 361.582 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 361.582 * * * * [progress]: [ 651 / 2703 ] simplifiying candidate # 361.582 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 361.583 * * [simplify]: iters left: 6 (19 enodes) 361.597 * * [simplify]: iters left: 5 (66 enodes) 361.617 * * [simplify]: iters left: 4 (105 enodes) 361.652 * * [simplify]: iters left: 3 (204 enodes) 361.715 * * [simplify]: iters left: 2 (435 enodes) 361.976 * * [simplify]: Extracting #0: cost 1 inf + 0 361.977 * * [simplify]: Extracting #1: cost 83 inf + 0 361.978 * * [simplify]: Extracting #2: cost 144 inf + 0 361.979 * * [simplify]: Extracting #3: cost 154 inf + 0 361.981 * * [simplify]: Extracting #4: cost 146 inf + 1514 361.983 * * [simplify]: Extracting #5: cost 128 inf + 5983 361.986 * * [simplify]: Extracting #6: cost 110 inf + 11475 361.997 * * [simplify]: Extracting #7: cost 59 inf + 35929 362.011 * * [simplify]: Extracting #8: cost 6 inf + 63543 362.030 * * [simplify]: Extracting #9: cost 0 inf + 67146 362.053 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th)))) 362.054 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 362.054 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 362.054 * * [simplify]: iters left: 6 (18 enodes) 362.063 * * [simplify]: iters left: 5 (61 enodes) 362.082 * * [simplify]: iters left: 4 (84 enodes) 362.109 * * [simplify]: iters left: 3 (129 enodes) 362.147 * * [simplify]: iters left: 2 (199 enodes) 362.202 * * [simplify]: iters left: 1 (298 enodes) 362.265 * * [simplify]: Extracting #0: cost 1 inf + 0 362.265 * * [simplify]: Extracting #1: cost 39 inf + 0 362.265 * * [simplify]: Extracting #2: cost 75 inf + 0 362.266 * * [simplify]: Extracting #3: cost 82 inf + 0 362.266 * * [simplify]: Extracting #4: cost 79 inf + 427 362.267 * * [simplify]: Extracting #5: cost 61 inf + 4494 362.267 * * [simplify]: Extracting #6: cost 55 inf + 5422 362.270 * * [simplify]: Extracting #7: cost 27 inf + 15967 362.276 * * [simplify]: Extracting #8: cost 1 inf + 28236 362.283 * * [simplify]: Extracting #9: cost 0 inf + 28639 362.289 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 362.289 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 362.289 * * * * [progress]: [ 652 / 2703 ] simplifiying candidate # 362.290 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 362.290 * * [simplify]: iters left: 6 (21 enodes) 362.298 * * [simplify]: iters left: 5 (74 enodes) 362.317 * * [simplify]: iters left: 4 (104 enodes) 362.343 * * [simplify]: iters left: 3 (182 enodes) 362.399 * * [simplify]: iters left: 2 (330 enodes) 362.589 * * [simplify]: Extracting #0: cost 1 inf + 0 362.590 * * [simplify]: Extracting #1: cost 62 inf + 0 362.590 * * [simplify]: Extracting #2: cost 106 inf + 1 362.591 * * [simplify]: Extracting #3: cost 113 inf + 1 362.591 * * [simplify]: Extracting #4: cost 105 inf + 1073 362.592 * * [simplify]: Extracting #5: cost 86 inf + 7738 362.595 * * [simplify]: Extracting #6: cost 65 inf + 13476 362.602 * * [simplify]: Extracting #7: cost 28 inf + 30539 362.612 * * [simplify]: Extracting #8: cost 0 inf + 46388 362.631 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (cos th))))) 362.631 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (* (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 362.632 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 362.632 * * [simplify]: iters left: 6 (18 enodes) 362.640 * * [simplify]: iters left: 5 (61 enodes) 362.659 * * [simplify]: iters left: 4 (85 enodes) 362.688 * * [simplify]: iters left: 3 (150 enodes) 362.747 * * [simplify]: iters left: 2 (278 enodes) 362.879 * * [simplify]: iters left: 1 (459 enodes) 363.094 * * [simplify]: Extracting #0: cost 1 inf + 0 363.094 * * [simplify]: Extracting #1: cost 53 inf + 0 363.094 * * [simplify]: Extracting #2: cost 103 inf + 0 363.095 * * [simplify]: Extracting #3: cost 112 inf + 0 363.096 * * [simplify]: Extracting #4: cost 109 inf + 427 363.097 * * [simplify]: Extracting #5: cost 96 inf + 2605 363.104 * * [simplify]: Extracting #6: cost 31 inf + 29278 363.116 * * [simplify]: Extracting #7: cost 0 inf + 43440 363.132 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))) 363.132 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))))) 363.132 * * * * [progress]: [ 653 / 2703 ] simplifiying candidate # 363.132 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 363.133 * * [simplify]: iters left: 6 (19 enodes) 363.142 * * [simplify]: iters left: 5 (66 enodes) 363.157 * * [simplify]: iters left: 4 (105 enodes) 363.176 * * [simplify]: iters left: 3 (204 enodes) 363.259 * * [simplify]: iters left: 2 (435 enodes) 363.497 * * [simplify]: Extracting #0: cost 1 inf + 0 363.497 * * [simplify]: Extracting #1: cost 83 inf + 0 363.498 * * [simplify]: Extracting #2: cost 144 inf + 0 363.500 * * [simplify]: Extracting #3: cost 154 inf + 0 363.501 * * [simplify]: Extracting #4: cost 146 inf + 1514 363.503 * * [simplify]: Extracting #5: cost 128 inf + 5983 363.507 * * [simplify]: Extracting #6: cost 110 inf + 11475 363.520 * * [simplify]: Extracting #7: cost 59 inf + 35929 363.543 * * [simplify]: Extracting #8: cost 6 inf + 63543 363.563 * * [simplify]: Extracting #9: cost 0 inf + 67146 363.595 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th)))) 363.595 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 363.595 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 363.596 * * [simplify]: iters left: 6 (18 enodes) 363.602 * * [simplify]: iters left: 5 (61 enodes) 363.611 * * [simplify]: iters left: 4 (84 enodes) 363.625 * * [simplify]: iters left: 3 (129 enodes) 363.658 * * [simplify]: iters left: 2 (199 enodes) 363.736 * * [simplify]: iters left: 1 (298 enodes) 363.857 * * [simplify]: Extracting #0: cost 1 inf + 0 363.857 * * [simplify]: Extracting #1: cost 39 inf + 0 363.858 * * [simplify]: Extracting #2: cost 75 inf + 0 363.858 * * [simplify]: Extracting #3: cost 82 inf + 0 363.858 * * [simplify]: Extracting #4: cost 79 inf + 427 363.859 * * [simplify]: Extracting #5: cost 61 inf + 4494 363.860 * * [simplify]: Extracting #6: cost 55 inf + 5422 363.862 * * [simplify]: Extracting #7: cost 27 inf + 15967 363.870 * * [simplify]: Extracting #8: cost 1 inf + 28236 363.876 * * [simplify]: Extracting #9: cost 0 inf + 28639 363.884 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))) 363.884 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cos th))))) 363.884 * * * * [progress]: [ 654 / 2703 ] simplifiying candidate # 363.885 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) 1)) 363.885 * * [simplify]: iters left: 6 (20 enodes) 363.893 * * [simplify]: iters left: 5 (69 enodes) 363.904 * * [simplify]: iters left: 4 (101 enodes) 363.926 * * [simplify]: iters left: 3 (185 enodes) 364.010 * * [simplify]: iters left: 2 (340 enodes) 364.212 * * [simplify]: Extracting #0: cost 1 inf + 0 364.213 * * [simplify]: Extracting #1: cost 62 inf + 0 364.213 * * [simplify]: Extracting #2: cost 103 inf + 1 364.214 * * [simplify]: Extracting #3: cost 110 inf + 1 364.214 * * [simplify]: Extracting #4: cost 103 inf + 831 364.215 * * [simplify]: Extracting #5: cost 88 inf + 6647 364.217 * * [simplify]: Extracting #6: cost 65 inf + 13309 364.225 * * [simplify]: Extracting #7: cost 32 inf + 27112 364.238 * * [simplify]: Extracting #8: cost 4 inf + 42721 364.248 * * [simplify]: Extracting #9: cost 0 inf + 45036 364.260 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cos th))))) 364.260 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 364.261 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 364.261 * * [simplify]: iters left: 6 (18 enodes) 364.266 * * [simplify]: iters left: 5 (61 enodes) 364.284 * * [simplify]: iters left: 4 (85 enodes) 364.299 * * [simplify]: iters left: 3 (150 enodes) 364.353 * * [simplify]: iters left: 2 (278 enodes) 364.459 * * [simplify]: iters left: 1 (459 enodes) 364.600 * * [simplify]: Extracting #0: cost 1 inf + 0 364.600 * * [simplify]: Extracting #1: cost 53 inf + 0 364.601 * * [simplify]: Extracting #2: cost 103 inf + 0 364.601 * * [simplify]: Extracting #3: cost 112 inf + 0 364.602 * * [simplify]: Extracting #4: cost 109 inf + 427 364.602 * * [simplify]: Extracting #5: cost 96 inf + 2605 364.607 * * [simplify]: Extracting #6: cost 31 inf + 29278 364.617 * * [simplify]: Extracting #7: cost 0 inf + 43440 364.634 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))) 364.634 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) 1)) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))))) 364.635 * * * * [progress]: [ 655 / 2703 ] simplifiying candidate # 364.635 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 364.635 * * [simplify]: iters left: 6 (21 enodes) 364.646 * * [simplify]: iters left: 5 (76 enodes) 364.661 * * [simplify]: iters left: 4 (122 enodes) 364.692 * * [simplify]: iters left: 3 (280 enodes) 364.837 * * [simplify]: Extracting #0: cost 1 inf + 0 364.838 * * [simplify]: Extracting #1: cost 96 inf + 0 364.839 * * [simplify]: Extracting #2: cost 215 inf + 1 364.841 * * [simplify]: Extracting #3: cost 221 inf + 1 364.843 * * [simplify]: Extracting #4: cost 212 inf + 1879 364.846 * * [simplify]: Extracting #5: cost 197 inf + 7038 364.852 * * [simplify]: Extracting #6: cost 157 inf + 21529 364.881 * * [simplify]: Extracting #7: cost 35 inf + 85925 364.904 * * [simplify]: Extracting #8: cost 0 inf + 104810 364.943 * * [simplify]: Extracting #9: cost 0 inf + 104730 364.991 * * [simplify]: Extracting #10: cost 0 inf + 104690 365.035 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 365.035 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 365.036 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 365.036 * * [simplify]: iters left: 6 (18 enodes) 365.045 * * [simplify]: iters left: 5 (61 enodes) 365.064 * * [simplify]: iters left: 4 (84 enodes) 365.090 * * [simplify]: iters left: 3 (143 enodes) 365.118 * * [simplify]: iters left: 2 (237 enodes) 365.198 * * [simplify]: iters left: 1 (330 enodes) 365.292 * * [simplify]: Extracting #0: cost 1 inf + 0 365.293 * * [simplify]: Extracting #1: cost 38 inf + 0 365.293 * * [simplify]: Extracting #2: cost 74 inf + 0 365.294 * * [simplify]: Extracting #3: cost 80 inf + 0 365.294 * * [simplify]: Extracting #4: cost 75 inf + 588 365.295 * * [simplify]: Extracting #5: cost 68 inf + 3326 365.297 * * [simplify]: Extracting #6: cost 63 inf + 3712 365.301 * * [simplify]: Extracting #7: cost 35 inf + 14432 365.313 * * [simplify]: Extracting #8: cost 3 inf + 29896 365.327 * * [simplify]: Extracting #9: cost 0 inf + 31667 365.342 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))) 365.342 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (/ (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))))))) 365.342 * * * * [progress]: [ 656 / 2703 ] simplifiying candidate # 365.342 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 365.343 * * [simplify]: iters left: 6 (22 enodes) 365.353 * * [simplify]: iters left: 5 (78 enodes) 365.378 * * [simplify]: iters left: 4 (116 enodes) 365.403 * * [simplify]: iters left: 3 (222 enodes) 365.498 * * [simplify]: iters left: 2 (465 enodes) 365.853 * * [simplify]: Extracting #0: cost 1 inf + 0 365.853 * * [simplify]: Extracting #1: cost 63 inf + 0 365.854 * * [simplify]: Extracting #2: cost 149 inf + 1 365.854 * * [simplify]: Extracting #3: cost 159 inf + 1 365.855 * * [simplify]: Extracting #4: cost 151 inf + 1333 365.856 * * [simplify]: Extracting #5: cost 138 inf + 5284 365.858 * * [simplify]: Extracting #6: cost 130 inf + 6997 365.867 * * [simplify]: Extracting #7: cost 79 inf + 26653 365.889 * * [simplify]: Extracting #8: cost 8 inf + 65557 365.909 * * [simplify]: Extracting #9: cost 0 inf + 69844 365.939 * [simplify]: Simplified to (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 365.939 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 365.940 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 365.940 * * [simplify]: iters left: 6 (19 enodes) 365.944 * * [simplify]: iters left: 5 (64 enodes) 365.954 * * [simplify]: iters left: 4 (87 enodes) 365.969 * * [simplify]: iters left: 3 (146 enodes) 366.022 * * [simplify]: iters left: 2 (240 enodes) 366.116 * * [simplify]: iters left: 1 (333 enodes) 366.627 * * [simplify]: Extracting #0: cost 1 inf + 0 366.627 * * [simplify]: Extracting #1: cost 38 inf + 0 366.627 * * [simplify]: Extracting #2: cost 75 inf + 0 366.627 * * [simplify]: Extracting #3: cost 82 inf + 0 366.628 * * [simplify]: Extracting #4: cost 78 inf + 327 366.628 * * [simplify]: Extracting #5: cost 71 inf + 2984 366.629 * * [simplify]: Extracting #6: cost 64 inf + 3753 366.630 * * [simplify]: Extracting #7: cost 45 inf + 9902 366.636 * * [simplify]: Extracting #8: cost 4 inf + 30637 366.649 * * [simplify]: Extracting #9: cost 0 inf + 32791 366.662 * [simplify]: Simplified to (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) 366.662 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))))) 366.663 * * * * [progress]: [ 657 / 2703 ] simplifiying candidate # 366.663 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 366.663 * * [simplify]: iters left: 6 (19 enodes) 366.668 * * [simplify]: iters left: 5 (68 enodes) 366.679 * * [simplify]: iters left: 4 (105 enodes) 366.707 * * [simplify]: iters left: 3 (195 enodes) 366.813 * * [simplify]: iters left: 2 (395 enodes) 367.059 * * [simplify]: Extracting #0: cost 1 inf + 0 367.059 * * [simplify]: Extracting #1: cost 42 inf + 0 367.060 * * [simplify]: Extracting #2: cost 97 inf + 1 367.061 * * [simplify]: Extracting #3: cost 104 inf + 1 367.062 * * [simplify]: Extracting #4: cost 96 inf + 1355 367.065 * * [simplify]: Extracting #5: cost 74 inf + 6353 367.067 * * [simplify]: Extracting #6: cost 66 inf + 7747 367.079 * * [simplify]: Extracting #7: cost 36 inf + 20753 367.091 * * [simplify]: Extracting #8: cost 0 inf + 36463 367.100 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) 367.100 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 367.101 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 367.101 * * [simplify]: iters left: 6 (16 enodes) 367.106 * * [simplify]: iters left: 5 (55 enodes) 367.115 * * [simplify]: iters left: 4 (75 enodes) 367.127 * * [simplify]: iters left: 3 (109 enodes) 367.159 * * [simplify]: iters left: 2 (156 enodes) 367.189 * * [simplify]: iters left: 1 (203 enodes) 367.223 * * [simplify]: Extracting #0: cost 1 inf + 0 367.223 * * [simplify]: Extracting #1: cost 28 inf + 0 367.224 * * [simplify]: Extracting #2: cost 55 inf + 0 367.224 * * [simplify]: Extracting #3: cost 62 inf + 0 367.224 * * [simplify]: Extracting #4: cost 60 inf + 266 367.224 * * [simplify]: Extracting #5: cost 48 inf + 1740 367.227 * * [simplify]: Extracting #6: cost 13 inf + 13677 367.230 * * [simplify]: Extracting #7: cost 0 inf + 19440 367.235 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 367.235 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 367.235 * * * * [progress]: [ 658 / 2703 ] simplifiying candidate # 367.235 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt 1))) 367.236 * * [simplify]: iters left: 6 (20 enodes) 367.243 * * [simplify]: iters left: 5 (71 enodes) 367.255 * * [simplify]: iters left: 4 (101 enodes) 367.273 * * [simplify]: iters left: 3 (167 enodes) 367.343 * * [simplify]: iters left: 2 (301 enodes) 367.557 * * [simplify]: iters left: 1 (487 enodes) 367.886 * * [simplify]: Extracting #0: cost 1 inf + 0 367.886 * * [simplify]: Extracting #1: cost 24 inf + 0 367.886 * * [simplify]: Extracting #2: cost 47 inf + 1 367.887 * * [simplify]: Extracting #3: cost 53 inf + 1 367.887 * * [simplify]: Extracting #4: cost 49 inf + 449 367.888 * * [simplify]: Extracting #5: cost 36 inf + 4157 367.889 * * [simplify]: Extracting #6: cost 31 inf + 4844 367.891 * * [simplify]: Extracting #7: cost 17 inf + 8318 367.895 * * [simplify]: Extracting #8: cost 1 inf + 15414 367.901 * * [simplify]: Extracting #9: cost 0 inf + 15777 367.910 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 367.910 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 367.911 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 367.911 * * [simplify]: iters left: 6 (17 enodes) 367.919 * * [simplify]: iters left: 5 (58 enodes) 367.937 * * [simplify]: iters left: 4 (81 enodes) 367.963 * * [simplify]: iters left: 3 (140 enodes) 368.004 * * [simplify]: iters left: 2 (234 enodes) 368.083 * * [simplify]: iters left: 1 (327 enodes) 368.195 * * [simplify]: Extracting #0: cost 1 inf + 0 368.195 * * [simplify]: Extracting #1: cost 38 inf + 0 368.196 * * [simplify]: Extracting #2: cost 74 inf + 0 368.196 * * [simplify]: Extracting #3: cost 81 inf + 0 368.197 * * [simplify]: Extracting #4: cost 78 inf + 387 368.198 * * [simplify]: Extracting #5: cost 61 inf + 3411 368.203 * * [simplify]: Extracting #6: cost 32 inf + 15042 368.215 * * [simplify]: Extracting #7: cost 1 inf + 27940 368.229 * * [simplify]: Extracting #8: cost 0 inf + 28383 368.242 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 368.242 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt 1))) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 368.242 * * * * [progress]: [ 659 / 2703 ] simplifiying candidate # 368.243 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 368.243 * * [simplify]: iters left: 6 (19 enodes) 368.252 * * [simplify]: iters left: 5 (68 enodes) 368.274 * * [simplify]: iters left: 4 (105 enodes) 368.314 * * [simplify]: iters left: 3 (195 enodes) 368.379 * * [simplify]: iters left: 2 (395 enodes) 368.639 * * [simplify]: Extracting #0: cost 1 inf + 0 368.639 * * [simplify]: Extracting #1: cost 42 inf + 0 368.639 * * [simplify]: Extracting #2: cost 97 inf + 1 368.640 * * [simplify]: Extracting #3: cost 104 inf + 1 368.641 * * [simplify]: Extracting #4: cost 96 inf + 1355 368.642 * * [simplify]: Extracting #5: cost 74 inf + 6353 368.643 * * [simplify]: Extracting #6: cost 66 inf + 7747 368.648 * * [simplify]: Extracting #7: cost 36 inf + 20753 368.656 * * [simplify]: Extracting #8: cost 0 inf + 36463 368.673 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) 368.673 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 368.674 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 368.674 * * [simplify]: iters left: 6 (16 enodes) 368.681 * * [simplify]: iters left: 5 (55 enodes) 368.694 * * [simplify]: iters left: 4 (75 enodes) 368.707 * * [simplify]: iters left: 3 (109 enodes) 368.726 * * [simplify]: iters left: 2 (156 enodes) 368.768 * * [simplify]: iters left: 1 (203 enodes) 368.818 * * [simplify]: Extracting #0: cost 1 inf + 0 368.818 * * [simplify]: Extracting #1: cost 28 inf + 0 368.818 * * [simplify]: Extracting #2: cost 55 inf + 0 368.818 * * [simplify]: Extracting #3: cost 62 inf + 0 368.818 * * [simplify]: Extracting #4: cost 60 inf + 266 368.819 * * [simplify]: Extracting #5: cost 48 inf + 1740 368.821 * * [simplify]: Extracting #6: cost 13 inf + 13677 368.825 * * [simplify]: Extracting #7: cost 0 inf + 19440 368.829 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 368.829 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 368.829 * * * * [progress]: [ 660 / 2703 ] simplifiying candidate # 368.829 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 1)) 368.829 * * [simplify]: iters left: 6 (19 enodes) 368.834 * * [simplify]: iters left: 5 (64 enodes) 368.851 * * [simplify]: iters left: 4 (86 enodes) 368.871 * * [simplify]: iters left: 3 (125 enodes) 368.896 * * [simplify]: iters left: 2 (191 enodes) 368.985 * * [simplify]: iters left: 1 (259 enodes) 369.101 * * [simplify]: Extracting #0: cost 1 inf + 0 369.101 * * [simplify]: Extracting #1: cost 21 inf + 0 369.101 * * [simplify]: Extracting #2: cost 41 inf + 1 369.102 * * [simplify]: Extracting #3: cost 47 inf + 1 369.102 * * [simplify]: Extracting #4: cost 44 inf + 287 369.103 * * [simplify]: Extracting #5: cost 32 inf + 3873 369.105 * * [simplify]: Extracting #6: cost 27 inf + 4520 369.108 * * [simplify]: Extracting #7: cost 13 inf + 7993 369.113 * * [simplify]: Extracting #8: cost 1 inf + 12813 369.120 * * [simplify]: Extracting #9: cost 0 inf + 13357 369.126 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 369.127 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 369.127 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 369.127 * * [simplify]: iters left: 6 (17 enodes) 369.136 * * [simplify]: iters left: 5 (58 enodes) 369.154 * * [simplify]: iters left: 4 (81 enodes) 369.182 * * [simplify]: iters left: 3 (140 enodes) 369.232 * * [simplify]: iters left: 2 (234 enodes) 369.297 * * [simplify]: iters left: 1 (327 enodes) 369.409 * * [simplify]: Extracting #0: cost 1 inf + 0 369.409 * * [simplify]: Extracting #1: cost 38 inf + 0 369.410 * * [simplify]: Extracting #2: cost 74 inf + 0 369.410 * * [simplify]: Extracting #3: cost 81 inf + 0 369.410 * * [simplify]: Extracting #4: cost 78 inf + 387 369.411 * * [simplify]: Extracting #5: cost 61 inf + 3411 369.413 * * [simplify]: Extracting #6: cost 32 inf + 15042 369.420 * * [simplify]: Extracting #7: cost 1 inf + 27940 369.427 * * [simplify]: Extracting #8: cost 0 inf + 28383 369.433 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 369.433 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 1)) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 369.433 * * * * [progress]: [ 661 / 2703 ] simplifiying candidate # 369.434 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 1) 369.434 * * [simplify]: iters left: 6 (18 enodes) 369.443 * * [simplify]: iters left: 5 (61 enodes) 369.463 * * [simplify]: iters left: 4 (87 enodes) 369.486 * * [simplify]: iters left: 3 (133 enodes) 369.520 * * [simplify]: iters left: 2 (207 enodes) 369.618 * * [simplify]: iters left: 1 (266 enodes) 369.704 * * [simplify]: Extracting #0: cost 1 inf + 0 369.704 * * [simplify]: Extracting #1: cost 21 inf + 0 369.704 * * [simplify]: Extracting #2: cost 41 inf + 1 369.705 * * [simplify]: Extracting #3: cost 47 inf + 1 369.705 * * [simplify]: Extracting #4: cost 44 inf + 347 369.707 * * [simplify]: Extracting #5: cost 34 inf + 3309 369.708 * * [simplify]: Extracting #6: cost 27 inf + 4520 369.711 * * [simplify]: Extracting #7: cost 13 inf + 8515 369.717 * * [simplify]: Extracting #8: cost 3 inf + 12207 369.724 * * [simplify]: Extracting #9: cost 0 inf + 13357 369.730 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) 369.730 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 369.731 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 369.731 * * [simplify]: iters left: 6 (17 enodes) 369.739 * * [simplify]: iters left: 5 (58 enodes) 369.757 * * [simplify]: iters left: 4 (81 enodes) 369.779 * * [simplify]: iters left: 3 (140 enodes) 369.808 * * [simplify]: iters left: 2 (234 enodes) 369.864 * * [simplify]: iters left: 1 (327 enodes) 369.947 * * [simplify]: Extracting #0: cost 1 inf + 0 369.947 * * [simplify]: Extracting #1: cost 38 inf + 0 369.948 * * [simplify]: Extracting #2: cost 74 inf + 0 369.948 * * [simplify]: Extracting #3: cost 81 inf + 0 369.948 * * [simplify]: Extracting #4: cost 78 inf + 387 369.949 * * [simplify]: Extracting #5: cost 61 inf + 3411 369.951 * * [simplify]: Extracting #6: cost 32 inf + 15042 369.961 * * [simplify]: Extracting #7: cost 1 inf + 27940 369.974 * * [simplify]: Extracting #8: cost 0 inf + 28383 369.987 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 369.987 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 1) (/ (/ (* (cbrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 369.988 * * * * [progress]: [ 662 / 2703 ] simplifiying candidate # 369.988 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (sqrt 2))) 369.988 * * [simplify]: iters left: 6 (17 enodes) 369.996 * * [simplify]: iters left: 5 (58 enodes) 370.015 * * [simplify]: iters left: 4 (83 enodes) 370.042 * * [simplify]: iters left: 3 (127 enodes) 370.085 * * [simplify]: iters left: 2 (174 enodes) 370.145 * * [simplify]: iters left: 1 (205 enodes) 370.214 * * [simplify]: Extracting #0: cost 1 inf + 0 370.214 * * [simplify]: Extracting #1: cost 27 inf + 0 370.215 * * [simplify]: Extracting #2: cost 53 inf + 0 370.215 * * [simplify]: Extracting #3: cost 59 inf + 0 370.216 * * [simplify]: Extracting #4: cost 54 inf + 588 370.217 * * [simplify]: Extracting #5: cost 43 inf + 4492 370.218 * * [simplify]: Extracting #6: cost 32 inf + 7151 370.223 * * [simplify]: Extracting #7: cost 16 inf + 12073 370.228 * * [simplify]: Extracting #8: cost 1 inf + 18783 370.232 * * [simplify]: Extracting #9: cost 0 inf + 19367 370.236 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 370.236 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 370.237 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 370.237 * * [simplify]: iters left: 6 (18 enodes) 370.241 * * [simplify]: iters left: 5 (63 enodes) 370.252 * * [simplify]: iters left: 4 (85 enodes) 370.278 * * [simplify]: iters left: 3 (133 enodes) 370.327 * * [simplify]: iters left: 2 (226 enodes) 370.408 * * [simplify]: iters left: 1 (373 enodes) 370.588 * * [simplify]: Extracting #0: cost 1 inf + 0 370.588 * * [simplify]: Extracting #1: cost 34 inf + 0 370.588 * * [simplify]: Extracting #2: cost 80 inf + 1 370.589 * * [simplify]: Extracting #3: cost 87 inf + 1 370.589 * * [simplify]: Extracting #4: cost 84 inf + 388 370.590 * * [simplify]: Extracting #5: cost 73 inf + 1642 370.591 * * [simplify]: Extracting #6: cost 41 inf + 12333 370.597 * * [simplify]: Extracting #7: cost 1 inf + 28245 370.605 * * [simplify]: Extracting #8: cost 0 inf + 28488 370.612 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))) 370.612 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (sqrt 2))) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 370.612 * * * * [progress]: [ 663 / 2703 ] simplifiying candidate # 370.612 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 370.613 * * [simplify]: iters left: 6 (23 enodes) 370.619 * * [simplify]: iters left: 5 (95 enodes) 370.638 * * [simplify]: iters left: 4 (187 enodes) 370.684 * * [simplify]: iters left: 3 (395 enodes) 370.855 * * [simplify]: Extracting #0: cost 1 inf + 0 370.855 * * [simplify]: Extracting #1: cost 64 inf + 0 370.855 * * [simplify]: Extracting #2: cost 134 inf + 0 370.856 * * [simplify]: Extracting #3: cost 143 inf + 0 370.857 * * [simplify]: Extracting #4: cost 162 inf + 1614 370.858 * * [simplify]: Extracting #5: cost 193 inf + 5786 370.863 * * [simplify]: Extracting #6: cost 147 inf + 20580 370.880 * * [simplify]: Extracting #7: cost 45 inf + 77710 370.916 * * [simplify]: Extracting #8: cost 3 inf + 95411 370.942 * * [simplify]: Extracting #9: cost 0 inf + 95217 370.966 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 370.966 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 370.967 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 370.967 * * [simplify]: iters left: 6 (22 enodes) 370.976 * * [simplify]: iters left: 5 (93 enodes) 370.995 * * [simplify]: iters left: 4 (174 enodes) 371.030 * * [simplify]: iters left: 3 (308 enodes) 371.123 * * [simplify]: iters left: 2 (450 enodes) 371.314 * * [simplify]: Extracting #0: cost 1 inf + 0 371.314 * * [simplify]: Extracting #1: cost 21 inf + 0 371.314 * * [simplify]: Extracting #2: cost 42 inf + 0 371.314 * * [simplify]: Extracting #3: cost 67 inf + 0 371.315 * * [simplify]: Extracting #4: cost 187 inf + 387 371.316 * * [simplify]: Extracting #5: cost 225 inf + 4323 371.322 * * [simplify]: Extracting #6: cost 78 inf + 29490 371.332 * * [simplify]: Extracting #7: cost 5 inf + 49099 371.348 * * [simplify]: Extracting #8: cost 0 inf + 51775 371.369 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 371.369 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))))) 371.369 * * * * [progress]: [ 664 / 2703 ] simplifiying candidate # 371.370 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 371.370 * * [simplify]: iters left: 6 (22 enodes) 371.381 * * [simplify]: iters left: 5 (87 enodes) 371.411 * * [simplify]: iters left: 4 (153 enodes) 371.461 * * [simplify]: iters left: 3 (322 enodes) 371.579 * * [simplify]: Extracting #0: cost 1 inf + 0 371.579 * * [simplify]: Extracting #1: cost 65 inf + 0 371.580 * * [simplify]: Extracting #2: cost 135 inf + 0 371.581 * * [simplify]: Extracting #3: cost 158 inf + 0 371.582 * * [simplify]: Extracting #4: cost 208 inf + 1072 371.586 * * [simplify]: Extracting #5: cost 176 inf + 12041 371.597 * * [simplify]: Extracting #6: cost 93 inf + 31375 371.606 * * [simplify]: Extracting #7: cost 67 inf + 40813 371.621 * * [simplify]: Extracting #8: cost 9 inf + 75708 371.641 * * [simplify]: Extracting #9: cost 0 inf + 81178 371.674 * [simplify]: Simplified to (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 371.674 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 371.675 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))) 371.675 * * [simplify]: iters left: 6 (18 enodes) 371.684 * * [simplify]: iters left: 5 (64 enodes) 371.704 * * [simplify]: iters left: 4 (91 enodes) 371.730 * * [simplify]: iters left: 3 (128 enodes) 371.752 * * [simplify]: iters left: 2 (180 enodes) 371.796 * * [simplify]: iters left: 1 (282 enodes) 371.853 * * [simplify]: Extracting #0: cost 1 inf + 0 371.853 * * [simplify]: Extracting #1: cost 23 inf + 0 371.853 * * [simplify]: Extracting #2: cost 45 inf + 0 371.854 * * [simplify]: Extracting #3: cost 73 inf + 0 371.854 * * [simplify]: Extracting #4: cost 103 inf + 266 371.855 * * [simplify]: Extracting #5: cost 96 inf + 1277 371.858 * * [simplify]: Extracting #6: cost 49 inf + 9957 371.866 * * [simplify]: Extracting #7: cost 6 inf + 20442 371.875 * * [simplify]: Extracting #8: cost 0 inf + 22599 371.884 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2))))) 371.884 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2))))))) 371.884 * * * * [progress]: [ 665 / 2703 ] simplifiying candidate # 371.884 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 371.885 * * [simplify]: iters left: 6 (20 enodes) 371.895 * * [simplify]: iters left: 5 (69 enodes) 371.917 * * [simplify]: iters left: 4 (100 enodes) 371.949 * * [simplify]: iters left: 3 (177 enodes) 372.000 * * [simplify]: iters left: 2 (334 enodes) 372.189 * * [simplify]: Extracting #0: cost 1 inf + 0 372.189 * * [simplify]: Extracting #1: cost 48 inf + 0 372.190 * * [simplify]: Extracting #2: cost 81 inf + 1 372.191 * * [simplify]: Extracting #3: cost 87 inf + 1 372.192 * * [simplify]: Extracting #4: cost 86 inf + 64 372.193 * * [simplify]: Extracting #5: cost 78 inf + 1958 372.195 * * [simplify]: Extracting #6: cost 71 inf + 4921 372.197 * * [simplify]: Extracting #7: cost 60 inf + 6199 372.200 * * [simplify]: Extracting #8: cost 40 inf + 17133 372.210 * * [simplify]: Extracting #9: cost 3 inf + 38797 372.222 * * [simplify]: Extracting #10: cost 0 inf + 40649 372.240 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 372.240 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 372.241 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 372.241 * * [simplify]: iters left: 6 (16 enodes) 372.249 * * [simplify]: iters left: 5 (53 enodes) 372.266 * * [simplify]: iters left: 4 (67 enodes) 372.289 * * [simplify]: iters left: 3 (87 enodes) 372.314 * * [simplify]: iters left: 2 (98 enodes) 372.341 * * [simplify]: iters left: 1 (117 enodes) 372.374 * * [simplify]: Extracting #0: cost 1 inf + 0 372.374 * * [simplify]: Extracting #1: cost 23 inf + 0 372.374 * * [simplify]: Extracting #2: cost 44 inf + 0 372.374 * * [simplify]: Extracting #3: cost 52 inf + 0 372.375 * * [simplify]: Extracting #4: cost 50 inf + 266 372.375 * * [simplify]: Extracting #5: cost 41 inf + 1116 372.377 * * [simplify]: Extracting #6: cost 24 inf + 6682 372.381 * * [simplify]: Extracting #7: cost 4 inf + 16833 372.387 * * [simplify]: Extracting #8: cost 0 inf + 18988 372.393 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 372.393 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 372.393 * * * * [progress]: [ 666 / 2703 ] simplifiying candidate # 372.394 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 372.394 * * [simplify]: iters left: 6 (19 enodes) 372.403 * * [simplify]: iters left: 5 (64 enodes) 372.424 * * [simplify]: iters left: 4 (85 enodes) 372.455 * * [simplify]: iters left: 3 (122 enodes) 372.477 * * [simplify]: iters left: 2 (174 enodes) 372.523 * * [simplify]: iters left: 1 (252 enodes) 372.597 * * [simplify]: Extracting #0: cost 1 inf + 0 372.598 * * [simplify]: Extracting #1: cost 25 inf + 0 372.598 * * [simplify]: Extracting #2: cost 46 inf + 1 372.598 * * [simplify]: Extracting #3: cost 52 inf + 1 372.599 * * [simplify]: Extracting #4: cost 48 inf + 287 372.600 * * [simplify]: Extracting #5: cost 36 inf + 3651 372.602 * * [simplify]: Extracting #6: cost 38 inf + 4335 372.603 * * [simplify]: Extracting #7: cost 31 inf + 5026 372.606 * * [simplify]: Extracting #8: cost 21 inf + 8053 372.613 * * [simplify]: Extracting #9: cost 4 inf + 17119 372.622 * * [simplify]: Extracting #10: cost 0 inf + 19356 372.631 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 372.632 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 372.632 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 372.632 * * [simplify]: iters left: 6 (16 enodes) 372.640 * * [simplify]: iters left: 5 (53 enodes) 372.648 * * [simplify]: iters left: 4 (67 enodes) 372.658 * * [simplify]: iters left: 3 (87 enodes) 372.670 * * [simplify]: iters left: 2 (98 enodes) 372.693 * * [simplify]: iters left: 1 (117 enodes) 372.710 * * [simplify]: Extracting #0: cost 1 inf + 0 372.710 * * [simplify]: Extracting #1: cost 23 inf + 0 372.710 * * [simplify]: Extracting #2: cost 44 inf + 0 372.711 * * [simplify]: Extracting #3: cost 52 inf + 0 372.711 * * [simplify]: Extracting #4: cost 50 inf + 266 372.711 * * [simplify]: Extracting #5: cost 41 inf + 1116 372.712 * * [simplify]: Extracting #6: cost 24 inf + 6442 372.714 * * [simplify]: Extracting #7: cost 4 inf + 15993 372.720 * * [simplify]: Extracting #8: cost 0 inf + 18028 372.726 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 372.726 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 372.726 * * * * [progress]: [ 667 / 2703 ] simplifiying candidate # 372.727 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 372.727 * * [simplify]: iters left: 6 (22 enodes) 372.738 * * [simplify]: iters left: 5 (78 enodes) 372.753 * * [simplify]: iters left: 4 (119 enodes) 372.777 * * [simplify]: iters left: 3 (234 enodes) 372.892 * * [simplify]: Extracting #0: cost 1 inf + 0 372.892 * * [simplify]: Extracting #1: cost 65 inf + 0 372.893 * * [simplify]: Extracting #2: cost 140 inf + 1 372.894 * * [simplify]: Extracting #3: cost 148 inf + 1 372.895 * * [simplify]: Extracting #4: cost 140 inf + 1273 372.898 * * [simplify]: Extracting #5: cost 119 inf + 9495 372.903 * * [simplify]: Extracting #6: cost 104 inf + 13441 372.908 * * [simplify]: Extracting #7: cost 89 inf + 20588 372.928 * * [simplify]: Extracting #8: cost 20 inf + 63080 372.952 * * [simplify]: Extracting #9: cost 0 inf + 75797 372.967 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) 372.967 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 372.967 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 372.967 * * [simplify]: iters left: 6 (18 enodes) 372.973 * * [simplify]: iters left: 5 (61 enodes) 372.991 * * [simplify]: iters left: 4 (85 enodes) 373.005 * * [simplify]: iters left: 3 (150 enodes) 373.038 * * [simplify]: iters left: 2 (278 enodes) 373.119 * * [simplify]: iters left: 1 (464 enodes) 373.338 * * [simplify]: Extracting #0: cost 1 inf + 0 373.338 * * [simplify]: Extracting #1: cost 53 inf + 0 373.338 * * [simplify]: Extracting #2: cost 104 inf + 0 373.339 * * [simplify]: Extracting #3: cost 113 inf + 0 373.339 * * [simplify]: Extracting #4: cost 110 inf + 427 373.340 * * [simplify]: Extracting #5: cost 94 inf + 3690 373.346 * * [simplify]: Extracting #6: cost 37 inf + 28617 373.356 * * [simplify]: Extracting #7: cost 2 inf + 47315 373.366 * * [simplify]: Extracting #8: cost 0 inf + 48382 373.377 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 373.377 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 373.377 * * * * [progress]: [ 668 / 2703 ] simplifiying candidate # 373.377 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 373.378 * * [simplify]: iters left: 6 (22 enodes) 373.384 * * [simplify]: iters left: 5 (77 enodes) 373.408 * * [simplify]: iters left: 4 (110 enodes) 373.446 * * [simplify]: iters left: 3 (187 enodes) 373.504 * * [simplify]: iters left: 2 (369 enodes) 373.711 * * [simplify]: Extracting #0: cost 1 inf + 0 373.711 * * [simplify]: Extracting #1: cost 63 inf + 0 373.711 * * [simplify]: Extracting #2: cost 116 inf + 1 373.712 * * [simplify]: Extracting #3: cost 124 inf + 1 373.713 * * [simplify]: Extracting #4: cost 119 inf + 850 373.714 * * [simplify]: Extracting #5: cost 88 inf + 12133 373.718 * * [simplify]: Extracting #6: cost 69 inf + 17409 373.728 * * [simplify]: Extracting #7: cost 50 inf + 26529 373.752 * * [simplify]: Extracting #8: cost 4 inf + 54362 373.777 * * [simplify]: Extracting #9: cost 0 inf + 56957 373.790 * [simplify]: Simplified to (* (* (cbrt (cos th)) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 373.790 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 373.791 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 373.791 * * [simplify]: iters left: 6 (19 enodes) 373.796 * * [simplify]: iters left: 5 (64 enodes) 373.809 * * [simplify]: iters left: 4 (88 enodes) 373.838 * * [simplify]: iters left: 3 (153 enodes) 373.871 * * [simplify]: iters left: 2 (280 enodes) 373.999 * * [simplify]: iters left: 1 (460 enodes) 374.232 * * [simplify]: Extracting #0: cost 1 inf + 0 374.232 * * [simplify]: Extracting #1: cost 53 inf + 0 374.233 * * [simplify]: Extracting #2: cost 105 inf + 0 374.233 * * [simplify]: Extracting #3: cost 115 inf + 0 374.234 * * [simplify]: Extracting #4: cost 113 inf + 366 374.234 * * [simplify]: Extracting #5: cost 97 inf + 3287 374.238 * * [simplify]: Extracting #6: cost 44 inf + 26241 374.248 * * [simplify]: Extracting #7: cost 0 inf + 49746 374.259 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 374.259 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 374.259 * * * * [progress]: [ 669 / 2703 ] simplifiying candidate # 374.260 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 374.260 * * [simplify]: iters left: 6 (21 enodes) 374.266 * * [simplify]: iters left: 5 (73 enodes) 374.284 * * [simplify]: iters left: 4 (102 enodes) 374.306 * * [simplify]: iters left: 3 (181 enodes) 374.372 * * [simplify]: iters left: 2 (357 enodes) 374.570 * * [simplify]: Extracting #0: cost 1 inf + 0 374.571 * * [simplify]: Extracting #1: cost 70 inf + 0 374.571 * * [simplify]: Extracting #2: cost 121 inf + 1 374.572 * * [simplify]: Extracting #3: cost 128 inf + 1 374.573 * * [simplify]: Extracting #4: cost 121 inf + 1212 374.575 * * [simplify]: Extracting #5: cost 91 inf + 12257 374.579 * * [simplify]: Extracting #6: cost 72 inf + 18193 374.583 * * [simplify]: Extracting #7: cost 56 inf + 24663 374.602 * * [simplify]: Extracting #8: cost 10 inf + 50411 374.626 * * [simplify]: Extracting #9: cost 0 inf + 56470 374.640 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 374.640 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 374.640 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 374.640 * * [simplify]: iters left: 6 (18 enodes) 374.645 * * [simplify]: iters left: 5 (61 enodes) 374.658 * * [simplify]: iters left: 4 (85 enodes) 374.686 * * [simplify]: iters left: 3 (150 enodes) 374.723 * * [simplify]: iters left: 2 (278 enodes) 374.789 * * [simplify]: iters left: 1 (464 enodes) 374.947 * * [simplify]: Extracting #0: cost 1 inf + 0 374.947 * * [simplify]: Extracting #1: cost 53 inf + 0 374.948 * * [simplify]: Extracting #2: cost 104 inf + 0 374.948 * * [simplify]: Extracting #3: cost 113 inf + 0 374.949 * * [simplify]: Extracting #4: cost 110 inf + 427 374.951 * * [simplify]: Extracting #5: cost 94 inf + 3690 374.962 * * [simplify]: Extracting #6: cost 37 inf + 27617 374.981 * * [simplify]: Extracting #7: cost 2 inf + 45235 375.002 * * [simplify]: Extracting #8: cost 0 inf + 46262 375.023 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 375.023 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 375.023 * * * * [progress]: [ 670 / 2703 ] simplifiying candidate # 375.024 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 375.024 * * [simplify]: iters left: 6 (15 enodes) 375.033 * * [simplify]: iters left: 5 (54 enodes) 375.051 * * [simplify]: iters left: 4 (73 enodes) 375.075 * * [simplify]: iters left: 3 (117 enodes) 375.113 * * [simplify]: iters left: 2 (185 enodes) 375.179 * * [simplify]: iters left: 1 (269 enodes) 375.296 * * [simplify]: Extracting #0: cost 1 inf + 0 375.296 * * [simplify]: Extracting #1: cost 23 inf + 0 375.297 * * [simplify]: Extracting #2: cost 44 inf + 1 375.297 * * [simplify]: Extracting #3: cost 49 inf + 1 375.297 * * [simplify]: Extracting #4: cost 44 inf + 226 375.300 * * [simplify]: Extracting #5: cost 18 inf + 7727 375.306 * * [simplify]: Extracting #6: cost 0 inf + 14321 375.309 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) 375.309 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 375.309 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 375.309 * * [simplify]: iters left: 6 (17 enodes) 375.313 * * [simplify]: iters left: 5 (58 enodes) 375.323 * * [simplify]: iters left: 4 (81 enodes) 375.344 * * [simplify]: iters left: 3 (126 enodes) 375.365 * * [simplify]: iters left: 2 (196 enodes) 375.422 * * [simplify]: iters left: 1 (320 enodes) 375.521 * * [simplify]: Extracting #0: cost 1 inf + 0 375.521 * * [simplify]: Extracting #1: cost 41 inf + 0 375.521 * * [simplify]: Extracting #2: cost 94 inf + 0 375.522 * * [simplify]: Extracting #3: cost 108 inf + 84 375.523 * * [simplify]: Extracting #4: cost 89 inf + 2493 375.529 * * [simplify]: Extracting #5: cost 39 inf + 21359 375.542 * * [simplify]: Extracting #6: cost 2 inf + 37265 375.556 * * [simplify]: Extracting #7: cost 0 inf + 38231 375.573 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) 375.573 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))))) 375.573 * * * * [progress]: [ 671 / 2703 ] simplifiying candidate # 375.574 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 375.574 * * [simplify]: iters left: 6 (21 enodes) 375.585 * * [simplify]: iters left: 5 (73 enodes) 375.608 * * [simplify]: iters left: 4 (102 enodes) 375.643 * * [simplify]: iters left: 3 (181 enodes) 375.699 * * [simplify]: iters left: 2 (357 enodes) 375.903 * * [simplify]: Extracting #0: cost 1 inf + 0 375.904 * * [simplify]: Extracting #1: cost 70 inf + 0 375.905 * * [simplify]: Extracting #2: cost 121 inf + 1 375.906 * * [simplify]: Extracting #3: cost 128 inf + 1 375.907 * * [simplify]: Extracting #4: cost 121 inf + 1212 375.911 * * [simplify]: Extracting #5: cost 91 inf + 12257 375.918 * * [simplify]: Extracting #6: cost 72 inf + 18193 375.923 * * [simplify]: Extracting #7: cost 56 inf + 24663 375.935 * * [simplify]: Extracting #8: cost 10 inf + 50411 375.948 * * [simplify]: Extracting #9: cost 0 inf + 56470 375.975 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 375.975 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 375.976 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 375.976 * * [simplify]: iters left: 6 (18 enodes) 375.988 * * [simplify]: iters left: 5 (61 enodes) 376.003 * * [simplify]: iters left: 4 (85 enodes) 376.017 * * [simplify]: iters left: 3 (150 enodes) 376.053 * * [simplify]: iters left: 2 (278 enodes) 376.144 * * [simplify]: iters left: 1 (464 enodes) 376.349 * * [simplify]: Extracting #0: cost 1 inf + 0 376.349 * * [simplify]: Extracting #1: cost 53 inf + 0 376.350 * * [simplify]: Extracting #2: cost 104 inf + 0 376.350 * * [simplify]: Extracting #3: cost 113 inf + 0 376.351 * * [simplify]: Extracting #4: cost 110 inf + 427 376.353 * * [simplify]: Extracting #5: cost 94 inf + 3690 376.361 * * [simplify]: Extracting #6: cost 37 inf + 27617 376.371 * * [simplify]: Extracting #7: cost 2 inf + 45235 376.382 * * [simplify]: Extracting #8: cost 0 inf + 46262 376.393 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 376.393 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 376.393 * * * * [progress]: [ 672 / 2703 ] simplifiying candidate # 376.394 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 376.394 * * [simplify]: iters left: 6 (14 enodes) 376.398 * * [simplify]: iters left: 5 (49 enodes) 376.406 * * [simplify]: iters left: 4 (68 enodes) 376.421 * * [simplify]: iters left: 3 (112 enodes) 376.454 * * [simplify]: iters left: 2 (177 enodes) 376.524 * * [simplify]: iters left: 1 (261 enodes) 376.635 * * [simplify]: Extracting #0: cost 1 inf + 0 376.635 * * [simplify]: Extracting #1: cost 24 inf + 0 376.636 * * [simplify]: Extracting #2: cost 45 inf + 1 376.636 * * [simplify]: Extracting #3: cost 50 inf + 1 376.636 * * [simplify]: Extracting #4: cost 45 inf + 226 376.639 * * [simplify]: Extracting #5: cost 14 inf + 8896 376.646 * * [simplify]: Extracting #6: cost 0 inf + 14663 376.652 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 376.652 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 376.653 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 376.653 * * [simplify]: iters left: 6 (17 enodes) 376.661 * * [simplify]: iters left: 5 (58 enodes) 376.673 * * [simplify]: iters left: 4 (81 enodes) 376.687 * * [simplify]: iters left: 3 (126 enodes) 376.720 * * [simplify]: iters left: 2 (196 enodes) 376.773 * * [simplify]: iters left: 1 (320 enodes) 376.874 * * [simplify]: Extracting #0: cost 1 inf + 0 376.874 * * [simplify]: Extracting #1: cost 41 inf + 0 376.874 * * [simplify]: Extracting #2: cost 94 inf + 0 376.875 * * [simplify]: Extracting #3: cost 108 inf + 84 376.875 * * [simplify]: Extracting #4: cost 89 inf + 2493 376.878 * * [simplify]: Extracting #5: cost 39 inf + 21359 376.891 * * [simplify]: Extracting #6: cost 2 inf + 37265 376.905 * * [simplify]: Extracting #7: cost 0 inf + 38231 376.913 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) 376.913 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))))) 376.913 * * * * [progress]: [ 673 / 2703 ] simplifiying candidate # 376.913 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 376.913 * * [simplify]: iters left: 6 (24 enodes) 376.920 * * [simplify]: iters left: 5 (84 enodes) 376.934 * * [simplify]: iters left: 4 (121 enodes) 376.977 * * [simplify]: iters left: 3 (235 enodes) 377.081 * * [simplify]: Extracting #0: cost 1 inf + 0 377.081 * * [simplify]: Extracting #1: cost 68 inf + 0 377.082 * * [simplify]: Extracting #2: cost 145 inf + 1 377.083 * * [simplify]: Extracting #3: cost 155 inf + 1 377.085 * * [simplify]: Extracting #4: cost 151 inf + 670 377.087 * * [simplify]: Extracting #5: cost 132 inf + 5984 377.091 * * [simplify]: Extracting #6: cost 113 inf + 13998 377.095 * * [simplify]: Extracting #7: cost 108 inf + 15126 377.101 * * [simplify]: Extracting #8: cost 92 inf + 22335 377.113 * * [simplify]: Extracting #9: cost 30 inf + 60681 377.127 * * [simplify]: Extracting #10: cost 0 inf + 80238 377.151 * * [simplify]: Extracting #11: cost 0 inf + 80158 377.174 * [simplify]: Simplified to (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) 377.174 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 377.174 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 377.174 * * [simplify]: iters left: 6 (20 enodes) 377.179 * * [simplify]: iters left: 5 (67 enodes) 377.192 * * [simplify]: iters left: 4 (91 enodes) 377.219 * * [simplify]: iters left: 3 (156 enodes) 377.278 * * [simplify]: iters left: 2 (284 enodes) 377.385 * * [simplify]: iters left: 1 (473 enodes) 377.583 * * [simplify]: Extracting #0: cost 1 inf + 0 377.583 * * [simplify]: Extracting #1: cost 53 inf + 0 377.584 * * [simplify]: Extracting #2: cost 105 inf + 0 377.584 * * [simplify]: Extracting #3: cost 116 inf + 0 377.585 * * [simplify]: Extracting #4: cost 113 inf + 789 377.586 * * [simplify]: Extracting #5: cost 95 inf + 4173 377.595 * * [simplify]: Extracting #6: cost 37 inf + 32063 377.613 * * [simplify]: Extracting #7: cost 1 inf + 51922 377.635 * * [simplify]: Extracting #8: cost 0 inf + 52746 377.646 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 377.646 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 377.646 * * * * [progress]: [ 674 / 2703 ] simplifiying candidate # 377.647 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 377.647 * * [simplify]: iters left: 6 (24 enodes) 377.653 * * [simplify]: iters left: 5 (83 enodes) 377.670 * * [simplify]: iters left: 4 (116 enodes) 377.694 * * [simplify]: iters left: 3 (192 enodes) 377.746 * * [simplify]: iters left: 2 (371 enodes) 377.970 * * [simplify]: Extracting #0: cost 1 inf + 0 377.971 * * [simplify]: Extracting #1: cost 65 inf + 0 377.971 * * [simplify]: Extracting #2: cost 118 inf + 1 377.972 * * [simplify]: Extracting #3: cost 128 inf + 1 377.972 * * [simplify]: Extracting #4: cost 124 inf + 1031 377.973 * * [simplify]: Extracting #5: cost 109 inf + 4842 377.975 * * [simplify]: Extracting #6: cost 88 inf + 11639 377.981 * * [simplify]: Extracting #7: cost 71 inf + 17732 377.986 * * [simplify]: Extracting #8: cost 56 inf + 24377 377.998 * * [simplify]: Extracting #9: cost 14 inf + 50075 378.023 * * [simplify]: Extracting #10: cost 0 inf + 58968 378.049 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 378.049 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 378.050 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 378.050 * * [simplify]: iters left: 6 (21 enodes) 378.061 * * [simplify]: iters left: 5 (70 enodes) 378.083 * * [simplify]: iters left: 4 (94 enodes) 378.100 * * [simplify]: iters left: 3 (159 enodes) 378.142 * * [simplify]: iters left: 2 (286 enodes) 378.229 * * [simplify]: iters left: 1 (469 enodes) 378.416 * * [simplify]: Extracting #0: cost 1 inf + 0 378.417 * * [simplify]: Extracting #1: cost 53 inf + 0 378.417 * * [simplify]: Extracting #2: cost 105 inf + 0 378.418 * * [simplify]: Extracting #3: cost 117 inf + 0 378.419 * * [simplify]: Extracting #4: cost 113 inf + 1091 378.421 * * [simplify]: Extracting #5: cost 98 inf + 3430 378.426 * * [simplify]: Extracting #6: cost 55 inf + 22723 378.446 * * [simplify]: Extracting #7: cost 7 inf + 49342 378.472 * * [simplify]: Extracting #8: cost 0 inf + 53568 378.495 * [simplify]: Simplified to (* (cbrt (cos th)) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (cbrt 2))) (cbrt (sqrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 378.495 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (cbrt (cos th)) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (cbrt 2))) (cbrt (sqrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 378.496 * * * * [progress]: [ 675 / 2703 ] simplifiying candidate # 378.496 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 378.496 * * [simplify]: iters left: 6 (23 enodes) 378.508 * * [simplify]: iters left: 5 (79 enodes) 378.534 * * [simplify]: iters left: 4 (112 enodes) 378.572 * * [simplify]: iters left: 3 (188 enodes) 378.639 * * [simplify]: iters left: 2 (369 enodes) 378.847 * * [simplify]: Extracting #0: cost 1 inf + 0 378.847 * * [simplify]: Extracting #1: cost 65 inf + 0 378.848 * * [simplify]: Extracting #2: cost 117 inf + 1 378.849 * * [simplify]: Extracting #3: cost 126 inf + 1 378.851 * * [simplify]: Extracting #4: cost 121 inf + 931 378.854 * * [simplify]: Extracting #5: cost 91 inf + 10592 378.861 * * [simplify]: Extracting #6: cost 71 inf + 18192 378.868 * * [simplify]: Extracting #7: cost 67 inf + 18437 378.877 * * [simplify]: Extracting #8: cost 57 inf + 22788 378.897 * * [simplify]: Extracting #9: cost 9 inf + 50389 378.922 * * [simplify]: Extracting #10: cost 0 inf + 55844 378.937 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (fabs (cbrt 2))) (cbrt (cos th))) (cbrt (cos th))) (cbrt (sqrt 2)))) 378.937 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (fabs (cbrt 2))) (cbrt (cos th))) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 378.937 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 378.938 * * [simplify]: iters left: 6 (20 enodes) 378.943 * * [simplify]: iters left: 5 (67 enodes) 378.953 * * [simplify]: iters left: 4 (91 enodes) 378.983 * * [simplify]: iters left: 3 (156 enodes) 379.042 * * [simplify]: iters left: 2 (284 enodes) 379.132 * * [simplify]: iters left: 1 (473 enodes) 379.274 * * [simplify]: Extracting #0: cost 1 inf + 0 379.274 * * [simplify]: Extracting #1: cost 53 inf + 0 379.275 * * [simplify]: Extracting #2: cost 105 inf + 0 379.276 * * [simplify]: Extracting #3: cost 116 inf + 0 379.277 * * [simplify]: Extracting #4: cost 113 inf + 789 379.278 * * [simplify]: Extracting #5: cost 95 inf + 4173 379.287 * * [simplify]: Extracting #6: cost 37 inf + 31303 379.297 * * [simplify]: Extracting #7: cost 1 inf + 49842 379.309 * * [simplify]: Extracting #8: cost 0 inf + 50626 379.327 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 379.328 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 379.328 * * * * [progress]: [ 676 / 2703 ] simplifiying candidate # 379.328 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 379.328 * * [simplify]: iters left: 6 (17 enodes) 379.341 * * [simplify]: iters left: 5 (60 enodes) 379.352 * * [simplify]: iters left: 4 (80 enodes) 379.365 * * [simplify]: iters left: 3 (123 enodes) 379.402 * * [simplify]: iters left: 2 (187 enodes) 379.454 * * [simplify]: iters left: 1 (271 enodes) 379.549 * * [simplify]: Extracting #0: cost 1 inf + 0 379.549 * * [simplify]: Extracting #1: cost 25 inf + 0 379.549 * * [simplify]: Extracting #2: cost 46 inf + 1 379.549 * * [simplify]: Extracting #3: cost 53 inf + 1 379.550 * * [simplify]: Extracting #4: cost 48 inf + 509 379.551 * * [simplify]: Extracting #5: cost 22 inf + 6471 379.553 * * [simplify]: Extracting #6: cost 3 inf + 14345 379.557 * * [simplify]: Extracting #7: cost 0 inf + 15891 379.560 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2))))) 379.560 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 379.560 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 379.560 * * [simplify]: iters left: 6 (19 enodes) 379.565 * * [simplify]: iters left: 5 (64 enodes) 379.577 * * [simplify]: iters left: 4 (87 enodes) 379.599 * * [simplify]: iters left: 3 (132 enodes) 379.629 * * [simplify]: iters left: 2 (202 enodes) 379.698 * * [simplify]: iters left: 1 (325 enodes) 379.819 * * [simplify]: Extracting #0: cost 1 inf + 0 379.819 * * [simplify]: Extracting #1: cost 41 inf + 0 379.819 * * [simplify]: Extracting #2: cost 95 inf + 0 379.820 * * [simplify]: Extracting #3: cost 111 inf + 84 379.821 * * [simplify]: Extracting #4: cost 93 inf + 2715 379.825 * * [simplify]: Extracting #5: cost 64 inf + 11311 379.831 * * [simplify]: Extracting #6: cost 40 inf + 21376 379.845 * * [simplify]: Extracting #7: cost 3 inf + 40725 379.860 * * [simplify]: Extracting #8: cost 0 inf + 42355 379.875 * [simplify]: Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (cbrt 2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 379.875 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2))))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (cbrt 2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 379.876 * * * * [progress]: [ 677 / 2703 ] simplifiying candidate # 379.876 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 379.876 * * [simplify]: iters left: 6 (23 enodes) 379.888 * * [simplify]: iters left: 5 (79 enodes) 379.917 * * [simplify]: iters left: 4 (112 enodes) 379.939 * * [simplify]: iters left: 3 (188 enodes) 379.986 * * [simplify]: iters left: 2 (369 enodes) 380.187 * * [simplify]: Extracting #0: cost 1 inf + 0 380.187 * * [simplify]: Extracting #1: cost 65 inf + 0 380.188 * * [simplify]: Extracting #2: cost 117 inf + 1 380.189 * * [simplify]: Extracting #3: cost 126 inf + 1 380.191 * * [simplify]: Extracting #4: cost 121 inf + 931 380.194 * * [simplify]: Extracting #5: cost 91 inf + 10592 380.200 * * [simplify]: Extracting #6: cost 71 inf + 18192 380.208 * * [simplify]: Extracting #7: cost 67 inf + 18437 380.216 * * [simplify]: Extracting #8: cost 57 inf + 22788 380.236 * * [simplify]: Extracting #9: cost 9 inf + 50389 380.256 * * [simplify]: Extracting #10: cost 0 inf + 55844 380.269 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (fabs (cbrt 2))) (cbrt (cos th))) (cbrt (cos th))) (cbrt (sqrt 2)))) 380.269 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (fabs (cbrt 2))) (cbrt (cos th))) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 380.269 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 380.270 * * [simplify]: iters left: 6 (20 enodes) 380.274 * * [simplify]: iters left: 5 (67 enodes) 380.285 * * [simplify]: iters left: 4 (91 enodes) 380.314 * * [simplify]: iters left: 3 (156 enodes) 380.371 * * [simplify]: iters left: 2 (284 enodes) 380.483 * * [simplify]: iters left: 1 (473 enodes) 380.663 * * [simplify]: Extracting #0: cost 1 inf + 0 380.663 * * [simplify]: Extracting #1: cost 53 inf + 0 380.664 * * [simplify]: Extracting #2: cost 105 inf + 0 380.664 * * [simplify]: Extracting #3: cost 116 inf + 0 380.665 * * [simplify]: Extracting #4: cost 113 inf + 789 380.665 * * [simplify]: Extracting #5: cost 95 inf + 4173 380.670 * * [simplify]: Extracting #6: cost 37 inf + 31303 380.680 * * [simplify]: Extracting #7: cost 1 inf + 49842 380.693 * * [simplify]: Extracting #8: cost 0 inf + 50626 380.716 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 380.716 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2)) (/ (cbrt (sqrt (cbrt 2))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 380.717 * * * * [progress]: [ 678 / 2703 ] simplifiying candidate # 380.717 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 380.717 * * [simplify]: iters left: 6 (16 enodes) 380.726 * * [simplify]: iters left: 5 (55 enodes) 380.736 * * [simplify]: iters left: 4 (74 enodes) 380.749 * * [simplify]: iters left: 3 (117 enodes) 380.789 * * [simplify]: iters left: 2 (183 enodes) 380.851 * * [simplify]: iters left: 1 (265 enodes) 380.958 * * [simplify]: Extracting #0: cost 1 inf + 0 380.958 * * [simplify]: Extracting #1: cost 24 inf + 0 380.958 * * [simplify]: Extracting #2: cost 45 inf + 1 380.959 * * [simplify]: Extracting #3: cost 52 inf + 1 380.959 * * [simplify]: Extracting #4: cost 48 inf + 267 380.960 * * [simplify]: Extracting #5: cost 18 inf + 7712 380.962 * * [simplify]: Extracting #6: cost 2 inf + 14623 380.965 * * [simplify]: Extracting #7: cost 0 inf + 15547 380.968 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) 380.968 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 380.969 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 380.969 * * [simplify]: iters left: 6 (19 enodes) 380.974 * * [simplify]: iters left: 5 (64 enodes) 380.984 * * [simplify]: iters left: 4 (87 enodes) 380.999 * * [simplify]: iters left: 3 (132 enodes) 381.040 * * [simplify]: iters left: 2 (202 enodes) 381.121 * * [simplify]: iters left: 1 (325 enodes) 381.241 * * [simplify]: Extracting #0: cost 1 inf + 0 381.241 * * [simplify]: Extracting #1: cost 41 inf + 0 381.241 * * [simplify]: Extracting #2: cost 95 inf + 0 381.242 * * [simplify]: Extracting #3: cost 111 inf + 84 381.242 * * [simplify]: Extracting #4: cost 93 inf + 2715 381.244 * * [simplify]: Extracting #5: cost 64 inf + 11311 381.247 * * [simplify]: Extracting #6: cost 40 inf + 21376 381.254 * * [simplify]: Extracting #7: cost 3 inf + 40725 381.262 * * [simplify]: Extracting #8: cost 0 inf + 42355 381.270 * [simplify]: Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (cbrt 2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 381.270 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (cbrt 2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 381.270 * * * * [progress]: [ 679 / 2703 ] simplifiying candidate # 381.271 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 381.271 * * [simplify]: iters left: 6 (22 enodes) 381.277 * * [simplify]: iters left: 5 (77 enodes) 381.289 * * [simplify]: iters left: 4 (118 enodes) 381.319 * * [simplify]: iters left: 3 (232 enodes) 381.418 * * [simplify]: Extracting #0: cost 1 inf + 0 381.418 * * [simplify]: Extracting #1: cost 65 inf + 0 381.419 * * [simplify]: Extracting #2: cost 140 inf + 1 381.419 * * [simplify]: Extracting #3: cost 148 inf + 1 381.420 * * [simplify]: Extracting #4: cost 140 inf + 1273 381.421 * * [simplify]: Extracting #5: cost 117 inf + 9299 381.424 * * [simplify]: Extracting #6: cost 105 inf + 12499 381.426 * * [simplify]: Extracting #7: cost 102 inf + 12784 381.428 * * [simplify]: Extracting #8: cost 90 inf + 19042 381.437 * * [simplify]: Extracting #9: cost 25 inf + 58043 381.451 * * [simplify]: Extracting #10: cost 0 inf + 72357 381.468 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 381.468 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 381.469 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 381.469 * * [simplify]: iters left: 6 (19 enodes) 381.478 * * [simplify]: iters left: 5 (64 enodes) 381.498 * * [simplify]: iters left: 4 (88 enodes) 381.528 * * [simplify]: iters left: 3 (153 enodes) 381.556 * * [simplify]: iters left: 2 (280 enodes) 381.683 * * [simplify]: iters left: 1 (460 enodes) 381.850 * * [simplify]: Extracting #0: cost 1 inf + 0 381.850 * * [simplify]: Extracting #1: cost 53 inf + 0 381.851 * * [simplify]: Extracting #2: cost 105 inf + 0 381.852 * * [simplify]: Extracting #3: cost 115 inf + 0 381.853 * * [simplify]: Extracting #4: cost 112 inf + 427 381.854 * * [simplify]: Extracting #5: cost 93 inf + 4213 381.861 * * [simplify]: Extracting #6: cost 47 inf + 24408 381.873 * * [simplify]: Extracting #7: cost 1 inf + 48141 381.884 * * [simplify]: Extracting #8: cost 0 inf + 48744 381.899 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 381.899 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 381.899 * * * * [progress]: [ 680 / 2703 ] simplifiying candidate # 381.900 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 381.900 * * [simplify]: iters left: 6 (22 enodes) 381.910 * * [simplify]: iters left: 5 (76 enodes) 381.934 * * [simplify]: iters left: 4 (109 enodes) 381.964 * * [simplify]: iters left: 3 (185 enodes) 382.031 * * [simplify]: iters left: 2 (366 enodes) 382.239 * * [simplify]: Extracting #0: cost 1 inf + 0 382.239 * * [simplify]: Extracting #1: cost 63 inf + 0 382.240 * * [simplify]: Extracting #2: cost 116 inf + 1 382.240 * * [simplify]: Extracting #3: cost 124 inf + 1 382.241 * * [simplify]: Extracting #4: cost 116 inf + 1374 382.242 * * [simplify]: Extracting #5: cost 92 inf + 9224 382.245 * * [simplify]: Extracting #6: cost 71 inf + 15726 382.249 * * [simplify]: Extracting #7: cost 68 inf + 15930 382.253 * * [simplify]: Extracting #8: cost 43 inf + 27731 382.264 * * [simplify]: Extracting #9: cost 1 inf + 53172 382.278 * * [simplify]: Extracting #10: cost 0 inf + 53837 382.305 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) 382.306 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 382.306 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 382.306 * * [simplify]: iters left: 6 (20 enodes) 382.316 * * [simplify]: iters left: 5 (67 enodes) 382.329 * * [simplify]: iters left: 4 (91 enodes) 382.344 * * [simplify]: iters left: 3 (156 enodes) 382.392 * * [simplify]: iters left: 2 (284 enodes) 382.467 * * [simplify]: iters left: 1 (471 enodes) 382.650 * * [simplify]: Extracting #0: cost 1 inf + 0 382.651 * * [simplify]: Extracting #1: cost 53 inf + 0 382.651 * * [simplify]: Extracting #2: cost 106 inf + 0 382.651 * * [simplify]: Extracting #3: cost 117 inf + 0 382.652 * * [simplify]: Extracting #4: cost 113 inf + 789 382.653 * * [simplify]: Extracting #5: cost 96 inf + 3772 382.655 * * [simplify]: Extracting #6: cost 61 inf + 17248 382.660 * * [simplify]: Extracting #7: cost 34 inf + 31436 382.671 * * [simplify]: Extracting #8: cost 2 inf + 48780 382.683 * * [simplify]: Extracting #9: cost 0 inf + 50108 382.708 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))) 382.708 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))))) 382.708 * * * * [progress]: [ 681 / 2703 ] simplifiying candidate # 382.709 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 382.709 * * [simplify]: iters left: 6 (21 enodes) 382.719 * * [simplify]: iters left: 5 (72 enodes) 382.743 * * [simplify]: iters left: 4 (101 enodes) 382.777 * * [simplify]: iters left: 3 (179 enodes) 382.857 * * [simplify]: iters left: 2 (354 enodes) 383.065 * * [simplify]: Extracting #0: cost 1 inf + 0 383.065 * * [simplify]: Extracting #1: cost 73 inf + 0 383.066 * * [simplify]: Extracting #2: cost 124 inf + 1 383.067 * * [simplify]: Extracting #3: cost 131 inf + 1 383.069 * * [simplify]: Extracting #4: cost 123 inf + 1273 383.072 * * [simplify]: Extracting #5: cost 93 inf + 11838 383.078 * * [simplify]: Extracting #6: cost 75 inf + 16512 383.085 * * [simplify]: Extracting #7: cost 72 inf + 16797 383.094 * * [simplify]: Extracting #8: cost 52 inf + 26987 383.115 * * [simplify]: Extracting #9: cost 5 inf + 52282 383.128 * * [simplify]: Extracting #10: cost 0 inf + 55062 383.141 * [simplify]: Simplified to (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 383.141 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 383.142 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 383.142 * * [simplify]: iters left: 6 (19 enodes) 383.151 * * [simplify]: iters left: 5 (64 enodes) 383.171 * * [simplify]: iters left: 4 (88 enodes) 383.199 * * [simplify]: iters left: 3 (153 enodes) 383.228 * * [simplify]: iters left: 2 (280 enodes) 383.309 * * [simplify]: iters left: 1 (460 enodes) 383.461 * * [simplify]: Extracting #0: cost 1 inf + 0 383.461 * * [simplify]: Extracting #1: cost 53 inf + 0 383.462 * * [simplify]: Extracting #2: cost 105 inf + 0 383.463 * * [simplify]: Extracting #3: cost 115 inf + 0 383.463 * * [simplify]: Extracting #4: cost 112 inf + 427 383.465 * * [simplify]: Extracting #5: cost 93 inf + 4213 383.472 * * [simplify]: Extracting #6: cost 47 inf + 23768 383.492 * * [simplify]: Extracting #7: cost 1 inf + 46061 383.513 * * [simplify]: Extracting #8: cost 0 inf + 46624 383.534 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 383.535 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 383.535 * * * * [progress]: [ 682 / 2703 ] simplifiying candidate # 383.535 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 383.535 * * [simplify]: iters left: 6 (15 enodes) 383.544 * * [simplify]: iters left: 5 (53 enodes) 383.562 * * [simplify]: iters left: 4 (72 enodes) 383.589 * * [simplify]: iters left: 3 (115 enodes) 383.615 * * [simplify]: iters left: 2 (181 enodes) 383.671 * * [simplify]: iters left: 1 (263 enodes) 383.770 * * [simplify]: Extracting #0: cost 1 inf + 0 383.770 * * [simplify]: Extracting #1: cost 24 inf + 0 383.771 * * [simplify]: Extracting #2: cost 45 inf + 1 383.771 * * [simplify]: Extracting #3: cost 50 inf + 1 383.771 * * [simplify]: Extracting #4: cost 45 inf + 226 383.772 * * [simplify]: Extracting #5: cost 17 inf + 7491 383.775 * * [simplify]: Extracting #6: cost 2 inf + 12699 383.780 * * [simplify]: Extracting #7: cost 0 inf + 13543 383.786 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 383.786 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 383.786 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 383.787 * * [simplify]: iters left: 6 (18 enodes) 383.793 * * [simplify]: iters left: 5 (61 enodes) 383.802 * * [simplify]: iters left: 4 (84 enodes) 383.816 * * [simplify]: iters left: 3 (129 enodes) 383.863 * * [simplify]: iters left: 2 (199 enodes) 383.933 * * [simplify]: iters left: 1 (323 enodes) 384.039 * * [simplify]: Extracting #0: cost 1 inf + 0 384.039 * * [simplify]: Extracting #1: cost 41 inf + 0 384.039 * * [simplify]: Extracting #2: cost 95 inf + 0 384.039 * * [simplify]: Extracting #3: cost 110 inf + 84 384.040 * * [simplify]: Extracting #4: cost 94 inf + 2109 384.043 * * [simplify]: Extracting #5: cost 38 inf + 22301 384.050 * * [simplify]: Extracting #6: cost 0 inf + 38673 384.062 * [simplify]: Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))) 384.062 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))))) 384.063 * * * * [progress]: [ 683 / 2703 ] simplifiying candidate # 384.063 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 384.063 * * [simplify]: iters left: 6 (21 enodes) 384.073 * * [simplify]: iters left: 5 (72 enodes) 384.096 * * [simplify]: iters left: 4 (101 enodes) 384.131 * * [simplify]: iters left: 3 (179 enodes) 384.192 * * [simplify]: iters left: 2 (354 enodes) 384.408 * * [simplify]: Extracting #0: cost 1 inf + 0 384.409 * * [simplify]: Extracting #1: cost 73 inf + 0 384.409 * * [simplify]: Extracting #2: cost 124 inf + 1 384.410 * * [simplify]: Extracting #3: cost 131 inf + 1 384.410 * * [simplify]: Extracting #4: cost 123 inf + 1273 384.412 * * [simplify]: Extracting #5: cost 93 inf + 11838 384.415 * * [simplify]: Extracting #6: cost 75 inf + 16512 384.418 * * [simplify]: Extracting #7: cost 72 inf + 16797 384.427 * * [simplify]: Extracting #8: cost 52 inf + 26987 384.448 * * [simplify]: Extracting #9: cost 5 inf + 52282 384.462 * * [simplify]: Extracting #10: cost 0 inf + 55062 384.475 * [simplify]: Simplified to (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 384.475 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 384.475 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 384.475 * * [simplify]: iters left: 6 (19 enodes) 384.480 * * [simplify]: iters left: 5 (64 enodes) 384.489 * * [simplify]: iters left: 4 (88 enodes) 384.517 * * [simplify]: iters left: 3 (153 enodes) 384.568 * * [simplify]: iters left: 2 (280 enodes) 384.643 * * [simplify]: iters left: 1 (460 enodes) 384.837 * * [simplify]: Extracting #0: cost 1 inf + 0 384.837 * * [simplify]: Extracting #1: cost 53 inf + 0 384.838 * * [simplify]: Extracting #2: cost 105 inf + 0 384.838 * * [simplify]: Extracting #3: cost 115 inf + 0 384.839 * * [simplify]: Extracting #4: cost 112 inf + 427 384.839 * * [simplify]: Extracting #5: cost 93 inf + 4213 384.843 * * [simplify]: Extracting #6: cost 47 inf + 23768 384.855 * * [simplify]: Extracting #7: cost 1 inf + 46061 384.876 * * [simplify]: Extracting #8: cost 0 inf + 46624 384.897 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 384.897 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 384.897 * * * * [progress]: [ 684 / 2703 ] simplifiying candidate # 384.898 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) 1)) 384.898 * * [simplify]: iters left: 6 (14 enodes) 384.908 * * [simplify]: iters left: 5 (48 enodes) 384.924 * * [simplify]: iters left: 4 (67 enodes) 384.944 * * [simplify]: iters left: 3 (110 enodes) 384.965 * * [simplify]: iters left: 2 (177 enodes) 385.021 * * [simplify]: iters left: 1 (261 enodes) 385.107 * * [simplify]: Extracting #0: cost 1 inf + 0 385.107 * * [simplify]: Extracting #1: cost 25 inf + 0 385.107 * * [simplify]: Extracting #2: cost 46 inf + 1 385.107 * * [simplify]: Extracting #3: cost 51 inf + 1 385.108 * * [simplify]: Extracting #4: cost 44 inf + 429 385.109 * * [simplify]: Extracting #5: cost 14 inf + 8820 385.111 * * [simplify]: Extracting #6: cost 0 inf + 13887 385.114 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) 385.114 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 385.115 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 385.115 * * [simplify]: iters left: 6 (18 enodes) 385.120 * * [simplify]: iters left: 5 (61 enodes) 385.135 * * [simplify]: iters left: 4 (84 enodes) 385.151 * * [simplify]: iters left: 3 (129 enodes) 385.173 * * [simplify]: iters left: 2 (199 enodes) 385.222 * * [simplify]: iters left: 1 (323 enodes) 385.336 * * [simplify]: Extracting #0: cost 1 inf + 0 385.336 * * [simplify]: Extracting #1: cost 41 inf + 0 385.337 * * [simplify]: Extracting #2: cost 95 inf + 0 385.337 * * [simplify]: Extracting #3: cost 110 inf + 84 385.338 * * [simplify]: Extracting #4: cost 94 inf + 2109 385.341 * * [simplify]: Extracting #5: cost 38 inf + 22301 385.350 * * [simplify]: Extracting #6: cost 0 inf + 38673 385.365 * [simplify]: Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))) 385.365 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))))) 385.365 * * * * [progress]: [ 685 / 2703 ] simplifiying candidate # 385.366 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 385.366 * * [simplify]: iters left: 6 (22 enodes) 385.381 * * [simplify]: iters left: 5 (77 enodes) 385.400 * * [simplify]: iters left: 4 (116 enodes) 385.424 * * [simplify]: iters left: 3 (240 enodes) 385.561 * * [simplify]: Extracting #0: cost 1 inf + 0 385.561 * * [simplify]: Extracting #1: cost 70 inf + 0 385.562 * * [simplify]: Extracting #2: cost 160 inf + 1 385.563 * * [simplify]: Extracting #3: cost 166 inf + 1 385.565 * * [simplify]: Extracting #4: cost 163 inf + 287 385.567 * * [simplify]: Extracting #5: cost 142 inf + 5731 385.570 * * [simplify]: Extracting #6: cost 124 inf + 9867 385.575 * * [simplify]: Extracting #7: cost 98 inf + 21092 385.593 * * [simplify]: Extracting #8: cost 22 inf + 58531 385.612 * * [simplify]: Extracting #9: cost 0 inf + 69009 385.625 * * [simplify]: Extracting #10: cost 0 inf + 68969 385.641 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 385.641 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 385.641 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 385.641 * * [simplify]: iters left: 6 (17 enodes) 385.646 * * [simplify]: iters left: 5 (58 enodes) 385.659 * * [simplify]: iters left: 4 (81 enodes) 385.683 * * [simplify]: iters left: 3 (140 enodes) 385.708 * * [simplify]: iters left: 2 (234 enodes) 385.775 * * [simplify]: iters left: 1 (327 enodes) 385.889 * * [simplify]: Extracting #0: cost 1 inf + 0 385.889 * * [simplify]: Extracting #1: cost 38 inf + 0 385.889 * * [simplify]: Extracting #2: cost 74 inf + 0 385.889 * * [simplify]: Extracting #3: cost 81 inf + 0 385.890 * * [simplify]: Extracting #4: cost 78 inf + 387 385.890 * * [simplify]: Extracting #5: cost 62 inf + 3069 385.892 * * [simplify]: Extracting #6: cost 32 inf + 15363 385.898 * * [simplify]: Extracting #7: cost 3 inf + 28293 385.913 * * [simplify]: Extracting #8: cost 0 inf + 29823 385.926 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 385.926 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 385.926 * * * * [progress]: [ 686 / 2703 ] simplifiying candidate # 385.927 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 385.927 * * [simplify]: iters left: 6 (22 enodes) 385.935 * * [simplify]: iters left: 5 (76 enodes) 385.948 * * [simplify]: iters left: 4 (104 enodes) 385.966 * * [simplify]: iters left: 3 (164 enodes) 386.040 * * [simplify]: iters left: 2 (339 enodes) 386.256 * * [simplify]: Extracting #0: cost 1 inf + 0 386.256 * * [simplify]: Extracting #1: cost 42 inf + 0 386.256 * * [simplify]: Extracting #2: cost 95 inf + 1 386.256 * * [simplify]: Extracting #3: cost 102 inf + 1 386.257 * * [simplify]: Extracting #4: cost 97 inf + 549 386.258 * * [simplify]: Extracting #5: cost 86 inf + 4056 386.259 * * [simplify]: Extracting #6: cost 73 inf + 5876 386.262 * * [simplify]: Extracting #7: cost 46 inf + 16602 386.269 * * [simplify]: Extracting #8: cost 6 inf + 35140 386.277 * * [simplify]: Extracting #9: cost 0 inf + 38325 386.285 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cos th)))) 386.285 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 386.285 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 386.285 * * [simplify]: iters left: 6 (18 enodes) 386.290 * * [simplify]: iters left: 5 (61 enodes) 386.300 * * [simplify]: iters left: 4 (84 enodes) 386.320 * * [simplify]: iters left: 3 (143 enodes) 386.355 * * [simplify]: iters left: 2 (237 enodes) 386.405 * * [simplify]: iters left: 1 (330 enodes) 386.520 * * [simplify]: Extracting #0: cost 1 inf + 0 386.521 * * [simplify]: Extracting #1: cost 38 inf + 0 386.521 * * [simplify]: Extracting #2: cost 75 inf + 0 386.522 * * [simplify]: Extracting #3: cost 83 inf + 0 386.522 * * [simplify]: Extracting #4: cost 79 inf + 588 386.523 * * [simplify]: Extracting #5: cost 64 inf + 3410 386.528 * * [simplify]: Extracting #6: cost 30 inf + 15645 386.540 * * [simplify]: Extracting #7: cost 5 inf + 28229 386.552 * * [simplify]: Extracting #8: cost 0 inf + 30947 386.559 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) 386.559 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (cos th)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 386.559 * * * * [progress]: [ 687 / 2703 ] simplifiying candidate # 386.559 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 386.559 * * [simplify]: iters left: 6 (21 enodes) 386.567 * * [simplify]: iters left: 5 (72 enodes) 386.579 * * [simplify]: iters left: 4 (96 enodes) 386.610 * * [simplify]: iters left: 3 (159 enodes) 386.663 * * [simplify]: iters left: 2 (330 enodes) 386.891 * * [simplify]: Extracting #0: cost 1 inf + 0 386.891 * * [simplify]: Extracting #1: cost 48 inf + 0 386.892 * * [simplify]: Extracting #2: cost 99 inf + 1 386.893 * * [simplify]: Extracting #3: cost 105 inf + 1 386.893 * * [simplify]: Extracting #4: cost 101 inf + 428 386.894 * * [simplify]: Extracting #5: cost 90 inf + 3433 386.896 * * [simplify]: Extracting #6: cost 75 inf + 6159 386.900 * * [simplify]: Extracting #7: cost 17 inf + 28652 386.909 * * [simplify]: Extracting #8: cost 0 inf + 37018 386.917 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) 386.917 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 386.917 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 386.917 * * [simplify]: iters left: 6 (17 enodes) 386.922 * * [simplify]: iters left: 5 (58 enodes) 386.935 * * [simplify]: iters left: 4 (81 enodes) 386.952 * * [simplify]: iters left: 3 (140 enodes) 386.993 * * [simplify]: iters left: 2 (234 enodes) 387.045 * * [simplify]: iters left: 1 (327 enodes) 387.137 * * [simplify]: Extracting #0: cost 1 inf + 0 387.137 * * [simplify]: Extracting #1: cost 38 inf + 0 387.138 * * [simplify]: Extracting #2: cost 74 inf + 0 387.138 * * [simplify]: Extracting #3: cost 81 inf + 0 387.139 * * [simplify]: Extracting #4: cost 78 inf + 387 387.140 * * [simplify]: Extracting #5: cost 62 inf + 3069 387.144 * * [simplify]: Extracting #6: cost 32 inf + 14923 387.156 * * [simplify]: Extracting #7: cost 3 inf + 26933 387.169 * * [simplify]: Extracting #8: cost 0 inf + 28343 387.182 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 387.182 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 387.183 * * * * [progress]: [ 688 / 2703 ] simplifiying candidate # 387.183 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 1)) (sqrt 1))) 387.183 * * [simplify]: iters left: 6 (14 enodes) 387.196 * * [simplify]: iters left: 5 (50 enodes) 387.211 * * [simplify]: iters left: 4 (60 enodes) 387.232 * * [simplify]: iters left: 3 (86 enodes) 387.264 * * [simplify]: iters left: 2 (123 enodes) 387.318 * * [simplify]: iters left: 1 (155 enodes) 387.378 * * [simplify]: Extracting #0: cost 1 inf + 0 387.379 * * [simplify]: Extracting #1: cost 12 inf + 0 387.379 * * [simplify]: Extracting #2: cost 22 inf + 1 387.379 * * [simplify]: Extracting #3: cost 26 inf + 1 387.379 * * [simplify]: Extracting #4: cost 22 inf + 105 387.379 * * [simplify]: Extracting #5: cost 10 inf + 2302 387.380 * * [simplify]: Extracting #6: cost 3 inf + 3995 387.381 * * [simplify]: Extracting #7: cost 0 inf + 4801 387.382 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) 387.382 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 387.383 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 387.383 * * [simplify]: iters left: 6 (15 enodes) 387.387 * * [simplify]: iters left: 5 (52 enodes) 387.395 * * [simplify]: iters left: 4 (72 enodes) 387.412 * * [simplify]: iters left: 3 (106 enodes) 387.446 * * [simplify]: iters left: 2 (153 enodes) 387.502 * * [simplify]: iters left: 1 (224 enodes) 387.567 * * [simplify]: Extracting #0: cost 1 inf + 0 387.567 * * [simplify]: Extracting #1: cost 30 inf + 0 387.569 * * [simplify]: Extracting #2: cost 70 inf + 0 387.569 * * [simplify]: Extracting #3: cost 84 inf + 84 387.570 * * [simplify]: Extracting #4: cost 62 inf + 3482 387.575 * * [simplify]: Extracting #5: cost 18 inf + 18667 387.585 * * [simplify]: Extracting #6: cost 0 inf + 25420 387.594 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 387.594 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 387.594 * * * * [progress]: [ 689 / 2703 ] simplifiying candidate # 387.595 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 387.595 * * [simplify]: iters left: 6 (21 enodes) 387.609 * * [simplify]: iters left: 5 (72 enodes) 387.620 * * [simplify]: iters left: 4 (96 enodes) 387.639 * * [simplify]: iters left: 3 (159 enodes) 387.709 * * [simplify]: iters left: 2 (330 enodes) 387.893 * * [simplify]: Extracting #0: cost 1 inf + 0 387.893 * * [simplify]: Extracting #1: cost 48 inf + 0 387.893 * * [simplify]: Extracting #2: cost 99 inf + 1 387.894 * * [simplify]: Extracting #3: cost 105 inf + 1 387.895 * * [simplify]: Extracting #4: cost 101 inf + 428 387.897 * * [simplify]: Extracting #5: cost 90 inf + 3433 387.899 * * [simplify]: Extracting #6: cost 75 inf + 6159 387.912 * * [simplify]: Extracting #7: cost 17 inf + 28652 387.928 * * [simplify]: Extracting #8: cost 0 inf + 37018 387.944 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) 387.944 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 387.945 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 387.945 * * [simplify]: iters left: 6 (17 enodes) 387.952 * * [simplify]: iters left: 5 (58 enodes) 387.961 * * [simplify]: iters left: 4 (81 enodes) 387.975 * * [simplify]: iters left: 3 (140 enodes) 388.020 * * [simplify]: iters left: 2 (234 enodes) 388.090 * * [simplify]: iters left: 1 (327 enodes) 388.212 * * [simplify]: Extracting #0: cost 1 inf + 0 388.212 * * [simplify]: Extracting #1: cost 38 inf + 0 388.213 * * [simplify]: Extracting #2: cost 74 inf + 0 388.213 * * [simplify]: Extracting #3: cost 81 inf + 0 388.213 * * [simplify]: Extracting #4: cost 78 inf + 387 388.214 * * [simplify]: Extracting #5: cost 62 inf + 3069 388.216 * * [simplify]: Extracting #6: cost 32 inf + 14923 388.223 * * [simplify]: Extracting #7: cost 3 inf + 26933 388.230 * * [simplify]: Extracting #8: cost 0 inf + 28343 388.236 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 388.236 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 388.237 * * * * [progress]: [ 690 / 2703 ] simplifiying candidate # 388.237 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 1)) 1)) 388.237 * * [simplify]: iters left: 6 (14 enodes) 388.243 * * [simplify]: iters left: 5 (48 enodes) 388.252 * * [simplify]: iters left: 4 (58 enodes) 388.262 * * [simplify]: iters left: 3 (84 enodes) 388.288 * * [simplify]: iters left: 2 (121 enodes) 388.339 * * [simplify]: iters left: 1 (153 enodes) 388.370 * * [simplify]: Extracting #0: cost 1 inf + 0 388.370 * * [simplify]: Extracting #1: cost 12 inf + 0 388.370 * * [simplify]: Extracting #2: cost 22 inf + 1 388.370 * * [simplify]: Extracting #3: cost 26 inf + 1 388.371 * * [simplify]: Extracting #4: cost 22 inf + 105 388.371 * * [simplify]: Extracting #5: cost 10 inf + 1962 388.372 * * [simplify]: Extracting #6: cost 1 inf + 4459 388.373 * * [simplify]: Extracting #7: cost 0 inf + 4801 388.374 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) 388.374 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 388.375 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 388.375 * * [simplify]: iters left: 6 (15 enodes) 388.378 * * [simplify]: iters left: 5 (52 enodes) 388.387 * * [simplify]: iters left: 4 (72 enodes) 388.403 * * [simplify]: iters left: 3 (106 enodes) 388.436 * * [simplify]: iters left: 2 (153 enodes) 388.476 * * [simplify]: iters left: 1 (224 enodes) 388.553 * * [simplify]: Extracting #0: cost 1 inf + 0 388.553 * * [simplify]: Extracting #1: cost 30 inf + 0 388.554 * * [simplify]: Extracting #2: cost 70 inf + 0 388.554 * * [simplify]: Extracting #3: cost 84 inf + 84 388.555 * * [simplify]: Extracting #4: cost 62 inf + 3482 388.561 * * [simplify]: Extracting #5: cost 18 inf + 18667 388.570 * * [simplify]: Extracting #6: cost 0 inf + 25420 388.579 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 388.579 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 388.580 * * * * [progress]: [ 691 / 2703 ] simplifiying candidate # 388.580 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 388.580 * * [simplify]: iters left: 6 (22 enodes) 388.591 * * [simplify]: iters left: 5 (77 enodes) 388.617 * * [simplify]: iters left: 4 (118 enodes) 388.663 * * [simplify]: iters left: 3 (232 enodes) 388.791 * * [simplify]: Extracting #0: cost 1 inf + 0 388.792 * * [simplify]: Extracting #1: cost 65 inf + 0 388.793 * * [simplify]: Extracting #2: cost 140 inf + 1 388.794 * * [simplify]: Extracting #3: cost 148 inf + 1 388.795 * * [simplify]: Extracting #4: cost 140 inf + 1273 388.798 * * [simplify]: Extracting #5: cost 117 inf + 9299 388.802 * * [simplify]: Extracting #6: cost 105 inf + 12499 388.806 * * [simplify]: Extracting #7: cost 102 inf + 12784 388.812 * * [simplify]: Extracting #8: cost 90 inf + 19042 388.824 * * [simplify]: Extracting #9: cost 25 inf + 58043 388.837 * * [simplify]: Extracting #10: cost 0 inf + 72357 388.857 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 388.857 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 388.857 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 388.857 * * [simplify]: iters left: 6 (19 enodes) 388.862 * * [simplify]: iters left: 5 (64 enodes) 388.874 * * [simplify]: iters left: 4 (88 enodes) 388.889 * * [simplify]: iters left: 3 (153 enodes) 388.945 * * [simplify]: iters left: 2 (280 enodes) 389.050 * * [simplify]: iters left: 1 (460 enodes) 389.268 * * [simplify]: Extracting #0: cost 1 inf + 0 389.268 * * [simplify]: Extracting #1: cost 53 inf + 0 389.269 * * [simplify]: Extracting #2: cost 105 inf + 0 389.270 * * [simplify]: Extracting #3: cost 115 inf + 0 389.271 * * [simplify]: Extracting #4: cost 112 inf + 427 389.273 * * [simplify]: Extracting #5: cost 93 inf + 4213 389.280 * * [simplify]: Extracting #6: cost 47 inf + 24408 389.299 * * [simplify]: Extracting #7: cost 1 inf + 48141 389.320 * * [simplify]: Extracting #8: cost 0 inf + 48744 389.341 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 389.342 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 389.342 * * * * [progress]: [ 692 / 2703 ] simplifiying candidate # 389.342 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 389.343 * * [simplify]: iters left: 6 (22 enodes) 389.354 * * [simplify]: iters left: 5 (76 enodes) 389.378 * * [simplify]: iters left: 4 (109 enodes) 389.418 * * [simplify]: iters left: 3 (185 enodes) 389.500 * * [simplify]: iters left: 2 (366 enodes) 389.742 * * [simplify]: Extracting #0: cost 1 inf + 0 389.742 * * [simplify]: Extracting #1: cost 63 inf + 0 389.743 * * [simplify]: Extracting #2: cost 116 inf + 1 389.744 * * [simplify]: Extracting #3: cost 124 inf + 1 389.746 * * [simplify]: Extracting #4: cost 116 inf + 1374 389.749 * * [simplify]: Extracting #5: cost 92 inf + 9224 389.754 * * [simplify]: Extracting #6: cost 71 inf + 15726 389.758 * * [simplify]: Extracting #7: cost 68 inf + 15930 389.763 * * [simplify]: Extracting #8: cost 43 inf + 27731 389.776 * * [simplify]: Extracting #9: cost 1 inf + 53172 389.793 * * [simplify]: Extracting #10: cost 0 inf + 53837 389.817 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) 389.817 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 389.818 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 389.818 * * [simplify]: iters left: 6 (20 enodes) 389.828 * * [simplify]: iters left: 5 (67 enodes) 389.841 * * [simplify]: iters left: 4 (91 enodes) 389.857 * * [simplify]: iters left: 3 (156 enodes) 389.900 * * [simplify]: iters left: 2 (284 enodes) 390.016 * * [simplify]: iters left: 1 (471 enodes) 390.194 * * [simplify]: Extracting #0: cost 1 inf + 0 390.194 * * [simplify]: Extracting #1: cost 53 inf + 0 390.195 * * [simplify]: Extracting #2: cost 106 inf + 0 390.195 * * [simplify]: Extracting #3: cost 117 inf + 0 390.196 * * [simplify]: Extracting #4: cost 113 inf + 789 390.198 * * [simplify]: Extracting #5: cost 96 inf + 3772 390.203 * * [simplify]: Extracting #6: cost 61 inf + 17248 390.212 * * [simplify]: Extracting #7: cost 34 inf + 31436 390.222 * * [simplify]: Extracting #8: cost 2 inf + 48780 390.236 * * [simplify]: Extracting #9: cost 0 inf + 50108 390.255 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))) 390.255 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))))) 390.256 * * * * [progress]: [ 693 / 2703 ] simplifiying candidate # 390.256 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 390.256 * * [simplify]: iters left: 6 (21 enodes) 390.267 * * [simplify]: iters left: 5 (72 enodes) 390.290 * * [simplify]: iters left: 4 (101 enodes) 390.324 * * [simplify]: iters left: 3 (179 enodes) 390.378 * * [simplify]: iters left: 2 (354 enodes) 390.604 * * [simplify]: Extracting #0: cost 1 inf + 0 390.604 * * [simplify]: Extracting #1: cost 73 inf + 0 390.605 * * [simplify]: Extracting #2: cost 124 inf + 1 390.606 * * [simplify]: Extracting #3: cost 131 inf + 1 390.606 * * [simplify]: Extracting #4: cost 123 inf + 1273 390.608 * * [simplify]: Extracting #5: cost 93 inf + 11838 390.612 * * [simplify]: Extracting #6: cost 75 inf + 16512 390.619 * * [simplify]: Extracting #7: cost 72 inf + 16797 390.629 * * [simplify]: Extracting #8: cost 52 inf + 26987 390.651 * * [simplify]: Extracting #9: cost 5 inf + 52282 390.680 * * [simplify]: Extracting #10: cost 0 inf + 55062 390.704 * [simplify]: Simplified to (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 390.705 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 390.705 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 390.705 * * [simplify]: iters left: 6 (19 enodes) 390.714 * * [simplify]: iters left: 5 (64 enodes) 390.734 * * [simplify]: iters left: 4 (88 enodes) 390.763 * * [simplify]: iters left: 3 (153 enodes) 390.822 * * [simplify]: iters left: 2 (280 enodes) 390.908 * * [simplify]: iters left: 1 (460 enodes) 391.126 * * [simplify]: Extracting #0: cost 1 inf + 0 391.126 * * [simplify]: Extracting #1: cost 53 inf + 0 391.127 * * [simplify]: Extracting #2: cost 105 inf + 0 391.128 * * [simplify]: Extracting #3: cost 115 inf + 0 391.129 * * [simplify]: Extracting #4: cost 112 inf + 427 391.130 * * [simplify]: Extracting #5: cost 93 inf + 4213 391.137 * * [simplify]: Extracting #6: cost 47 inf + 23768 391.156 * * [simplify]: Extracting #7: cost 1 inf + 46061 391.177 * * [simplify]: Extracting #8: cost 0 inf + 46624 391.199 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 391.199 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 391.200 * * * * [progress]: [ 694 / 2703 ] simplifiying candidate # 391.200 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 391.200 * * [simplify]: iters left: 6 (15 enodes) 391.209 * * [simplify]: iters left: 5 (53 enodes) 391.224 * * [simplify]: iters left: 4 (72 enodes) 391.236 * * [simplify]: iters left: 3 (115 enodes) 391.270 * * [simplify]: iters left: 2 (181 enodes) 391.325 * * [simplify]: iters left: 1 (263 enodes) 391.467 * * [simplify]: Extracting #0: cost 1 inf + 0 391.467 * * [simplify]: Extracting #1: cost 24 inf + 0 391.467 * * [simplify]: Extracting #2: cost 45 inf + 1 391.468 * * [simplify]: Extracting #3: cost 50 inf + 1 391.468 * * [simplify]: Extracting #4: cost 45 inf + 226 391.470 * * [simplify]: Extracting #5: cost 17 inf + 7491 391.472 * * [simplify]: Extracting #6: cost 2 inf + 12699 391.475 * * [simplify]: Extracting #7: cost 0 inf + 13543 391.478 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 391.478 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 391.478 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 391.478 * * [simplify]: iters left: 6 (18 enodes) 391.483 * * [simplify]: iters left: 5 (61 enodes) 391.494 * * [simplify]: iters left: 4 (84 enodes) 391.521 * * [simplify]: iters left: 3 (129 enodes) 391.548 * * [simplify]: iters left: 2 (199 enodes) 391.598 * * [simplify]: iters left: 1 (323 enodes) 391.691 * * [simplify]: Extracting #0: cost 1 inf + 0 391.691 * * [simplify]: Extracting #1: cost 41 inf + 0 391.691 * * [simplify]: Extracting #2: cost 95 inf + 0 391.692 * * [simplify]: Extracting #3: cost 110 inf + 84 391.692 * * [simplify]: Extracting #4: cost 94 inf + 2109 391.695 * * [simplify]: Extracting #5: cost 38 inf + 22301 391.702 * * [simplify]: Extracting #6: cost 0 inf + 38673 391.709 * [simplify]: Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))) 391.710 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))))) 391.710 * * * * [progress]: [ 695 / 2703 ] simplifiying candidate # 391.710 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 391.710 * * [simplify]: iters left: 6 (21 enodes) 391.716 * * [simplify]: iters left: 5 (72 enodes) 391.728 * * [simplify]: iters left: 4 (101 enodes) 391.762 * * [simplify]: iters left: 3 (179 enodes) 391.803 * * [simplify]: iters left: 2 (354 enodes) 392.038 * * [simplify]: Extracting #0: cost 1 inf + 0 392.038 * * [simplify]: Extracting #1: cost 73 inf + 0 392.038 * * [simplify]: Extracting #2: cost 124 inf + 1 392.039 * * [simplify]: Extracting #3: cost 131 inf + 1 392.040 * * [simplify]: Extracting #4: cost 123 inf + 1273 392.041 * * [simplify]: Extracting #5: cost 93 inf + 11838 392.044 * * [simplify]: Extracting #6: cost 75 inf + 16512 392.048 * * [simplify]: Extracting #7: cost 72 inf + 16797 392.055 * * [simplify]: Extracting #8: cost 52 inf + 26987 392.066 * * [simplify]: Extracting #9: cost 5 inf + 52282 392.091 * * [simplify]: Extracting #10: cost 0 inf + 55062 392.116 * [simplify]: Simplified to (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 392.116 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 392.117 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 392.117 * * [simplify]: iters left: 6 (19 enodes) 392.126 * * [simplify]: iters left: 5 (64 enodes) 392.142 * * [simplify]: iters left: 4 (88 enodes) 392.157 * * [simplify]: iters left: 3 (153 enodes) 392.211 * * [simplify]: iters left: 2 (280 enodes) 392.316 * * [simplify]: iters left: 1 (460 enodes) 392.538 * * [simplify]: Extracting #0: cost 1 inf + 0 392.539 * * [simplify]: Extracting #1: cost 53 inf + 0 392.539 * * [simplify]: Extracting #2: cost 105 inf + 0 392.539 * * [simplify]: Extracting #3: cost 115 inf + 0 392.540 * * [simplify]: Extracting #4: cost 112 inf + 427 392.541 * * [simplify]: Extracting #5: cost 93 inf + 4213 392.544 * * [simplify]: Extracting #6: cost 47 inf + 23768 392.561 * * [simplify]: Extracting #7: cost 1 inf + 46061 392.585 * * [simplify]: Extracting #8: cost 0 inf + 46624 392.603 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) 392.603 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 392.603 * * * * [progress]: [ 696 / 2703 ] simplifiying candidate # 392.604 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) 1)) 392.604 * * [simplify]: iters left: 6 (14 enodes) 392.608 * * [simplify]: iters left: 5 (48 enodes) 392.616 * * [simplify]: iters left: 4 (67 enodes) 392.631 * * [simplify]: iters left: 3 (110 enodes) 392.659 * * [simplify]: iters left: 2 (177 enodes) 392.709 * * [simplify]: iters left: 1 (261 enodes) 392.843 * * [simplify]: Extracting #0: cost 1 inf + 0 392.843 * * [simplify]: Extracting #1: cost 25 inf + 0 392.844 * * [simplify]: Extracting #2: cost 46 inf + 1 392.844 * * [simplify]: Extracting #3: cost 51 inf + 1 392.845 * * [simplify]: Extracting #4: cost 44 inf + 429 392.847 * * [simplify]: Extracting #5: cost 14 inf + 8820 392.853 * * [simplify]: Extracting #6: cost 0 inf + 13887 392.858 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) 392.859 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 392.859 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 392.859 * * [simplify]: iters left: 6 (18 enodes) 392.871 * * [simplify]: iters left: 5 (61 enodes) 392.890 * * [simplify]: iters left: 4 (84 enodes) 392.917 * * [simplify]: iters left: 3 (129 enodes) 392.943 * * [simplify]: iters left: 2 (199 enodes) 392.997 * * [simplify]: iters left: 1 (323 enodes) 393.090 * * [simplify]: Extracting #0: cost 1 inf + 0 393.091 * * [simplify]: Extracting #1: cost 41 inf + 0 393.091 * * [simplify]: Extracting #2: cost 95 inf + 0 393.092 * * [simplify]: Extracting #3: cost 110 inf + 84 393.093 * * [simplify]: Extracting #4: cost 94 inf + 2109 393.100 * * [simplify]: Extracting #5: cost 38 inf + 22301 393.114 * * [simplify]: Extracting #6: cost 0 inf + 38673 393.128 * [simplify]: Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))) 393.128 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (cbrt (sqrt (sqrt 2)))))) 393.129 * * * * [progress]: [ 697 / 2703 ] simplifiying candidate # 393.129 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 393.129 * * [simplify]: iters left: 6 (21 enodes) 393.141 * * [simplify]: iters left: 5 (74 enodes) 393.169 * * [simplify]: iters left: 4 (111 enodes) 393.210 * * [simplify]: iters left: 3 (233 enodes) 393.338 * * [simplify]: Extracting #0: cost 1 inf + 0 393.338 * * [simplify]: Extracting #1: cost 76 inf + 0 393.339 * * [simplify]: Extracting #2: cost 167 inf + 1 393.339 * * [simplify]: Extracting #3: cost 173 inf + 1 393.340 * * [simplify]: Extracting #4: cost 164 inf + 1316 393.341 * * [simplify]: Extracting #5: cost 138 inf + 9294 393.343 * * [simplify]: Extracting #6: cost 128 inf + 10830 393.344 * * [simplify]: Extracting #7: cost 126 inf + 11295 393.346 * * [simplify]: Extracting #8: cost 123 inf + 11741 393.350 * * [simplify]: Extracting #9: cost 88 inf + 27542 393.364 * * [simplify]: Extracting #10: cost 10 inf + 66751 393.393 * * [simplify]: Extracting #11: cost 0 inf + 71568 393.407 * * [simplify]: Extracting #12: cost 0 inf + 71528 393.420 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 393.420 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 393.421 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 393.421 * * [simplify]: iters left: 6 (17 enodes) 393.427 * * [simplify]: iters left: 5 (58 enodes) 393.445 * * [simplify]: iters left: 4 (81 enodes) 393.463 * * [simplify]: iters left: 3 (140 enodes) 393.497 * * [simplify]: iters left: 2 (234 enodes) 393.566 * * [simplify]: iters left: 1 (327 enodes) 393.673 * * [simplify]: Extracting #0: cost 1 inf + 0 393.673 * * [simplify]: Extracting #1: cost 38 inf + 0 393.673 * * [simplify]: Extracting #2: cost 74 inf + 0 393.673 * * [simplify]: Extracting #3: cost 81 inf + 0 393.674 * * [simplify]: Extracting #4: cost 78 inf + 387 393.675 * * [simplify]: Extracting #5: cost 62 inf + 3069 393.679 * * [simplify]: Extracting #6: cost 32 inf + 15363 393.691 * * [simplify]: Extracting #7: cost 3 inf + 28293 393.704 * * [simplify]: Extracting #8: cost 0 inf + 29823 393.717 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 393.717 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 393.717 * * * * [progress]: [ 698 / 2703 ] simplifiying candidate # 393.718 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 393.718 * * [simplify]: iters left: 6 (21 enodes) 393.730 * * [simplify]: iters left: 5 (73 enodes) 393.754 * * [simplify]: iters left: 4 (101 enodes) 393.788 * * [simplify]: iters left: 3 (161 enodes) 393.840 * * [simplify]: iters left: 2 (336 enodes) 394.102 * * [simplify]: Extracting #0: cost 1 inf + 0 394.102 * * [simplify]: Extracting #1: cost 50 inf + 0 394.103 * * [simplify]: Extracting #2: cost 108 inf + 1 394.104 * * [simplify]: Extracting #3: cost 115 inf + 1 394.105 * * [simplify]: Extracting #4: cost 111 inf + 428 394.107 * * [simplify]: Extracting #5: cost 98 inf + 4338 394.110 * * [simplify]: Extracting #6: cost 77 inf + 8458 394.121 * * [simplify]: Extracting #7: cost 23 inf + 32199 394.138 * * [simplify]: Extracting #8: cost 2 inf + 42819 394.154 * * [simplify]: Extracting #9: cost 0 inf + 43867 394.172 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) 394.172 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 394.172 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 394.173 * * [simplify]: iters left: 6 (18 enodes) 394.181 * * [simplify]: iters left: 5 (61 enodes) 394.200 * * [simplify]: iters left: 4 (84 enodes) 394.231 * * [simplify]: iters left: 3 (143 enodes) 394.274 * * [simplify]: iters left: 2 (237 enodes) 394.349 * * [simplify]: iters left: 1 (330 enodes) 394.458 * * [simplify]: Extracting #0: cost 1 inf + 0 394.458 * * [simplify]: Extracting #1: cost 38 inf + 0 394.458 * * [simplify]: Extracting #2: cost 75 inf + 0 394.458 * * [simplify]: Extracting #3: cost 83 inf + 0 394.459 * * [simplify]: Extracting #4: cost 79 inf + 588 394.459 * * [simplify]: Extracting #5: cost 64 inf + 3410 394.461 * * [simplify]: Extracting #6: cost 30 inf + 15645 394.467 * * [simplify]: Extracting #7: cost 5 inf + 28229 394.474 * * [simplify]: Extracting #8: cost 0 inf + 30947 394.482 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) 394.482 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 394.482 * * * * [progress]: [ 699 / 2703 ] simplifiying candidate # 394.482 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 394.482 * * [simplify]: iters left: 6 (20 enodes) 394.488 * * [simplify]: iters left: 5 (69 enodes) 394.510 * * [simplify]: iters left: 4 (95 enodes) 394.532 * * [simplify]: iters left: 3 (157 enodes) 394.592 * * [simplify]: iters left: 2 (332 enodes) 394.808 * * [simplify]: Extracting #0: cost 1 inf + 0 394.808 * * [simplify]: Extracting #1: cost 47 inf + 0 394.809 * * [simplify]: Extracting #2: cost 103 inf + 1 394.810 * * [simplify]: Extracting #3: cost 109 inf + 1 394.811 * * [simplify]: Extracting #4: cost 106 inf + 287 394.812 * * [simplify]: Extracting #5: cost 98 inf + 2745 394.815 * * [simplify]: Extracting #6: cost 79 inf + 6240 394.824 * * [simplify]: Extracting #7: cost 19 inf + 30785 394.841 * * [simplify]: Extracting #8: cost 0 inf + 39335 394.861 * * [simplify]: Extracting #9: cost 0 inf + 39215 394.877 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 394.877 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 394.878 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 394.878 * * [simplify]: iters left: 6 (17 enodes) 394.882 * * [simplify]: iters left: 5 (58 enodes) 394.892 * * [simplify]: iters left: 4 (81 enodes) 394.905 * * [simplify]: iters left: 3 (140 enodes) 394.944 * * [simplify]: iters left: 2 (234 enodes) 395.017 * * [simplify]: iters left: 1 (327 enodes) 395.123 * * [simplify]: Extracting #0: cost 1 inf + 0 395.124 * * [simplify]: Extracting #1: cost 38 inf + 0 395.124 * * [simplify]: Extracting #2: cost 74 inf + 0 395.125 * * [simplify]: Extracting #3: cost 81 inf + 0 395.125 * * [simplify]: Extracting #4: cost 78 inf + 387 395.126 * * [simplify]: Extracting #5: cost 62 inf + 3069 395.130 * * [simplify]: Extracting #6: cost 32 inf + 14923 395.136 * * [simplify]: Extracting #7: cost 3 inf + 26933 395.145 * * [simplify]: Extracting #8: cost 0 inf + 28343 395.152 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 395.152 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 395.152 * * * * [progress]: [ 700 / 2703 ] simplifiying candidate # 395.153 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt 1) (sqrt 1))) 395.153 * * [simplify]: iters left: 6 (14 enodes) 395.160 * * [simplify]: iters left: 5 (50 enodes) 395.168 * * [simplify]: iters left: 4 (60 enodes) 395.178 * * [simplify]: iters left: 3 (86 enodes) 395.194 * * [simplify]: iters left: 2 (123 enodes) 395.228 * * [simplify]: iters left: 1 (155 enodes) 395.292 * * [simplify]: Extracting #0: cost 1 inf + 0 395.293 * * [simplify]: Extracting #1: cost 12 inf + 0 395.293 * * [simplify]: Extracting #2: cost 22 inf + 1 395.293 * * [simplify]: Extracting #3: cost 26 inf + 1 395.293 * * [simplify]: Extracting #4: cost 22 inf + 105 395.294 * * [simplify]: Extracting #5: cost 10 inf + 2302 395.296 * * [simplify]: Extracting #6: cost 3 inf + 3995 395.298 * * [simplify]: Extracting #7: cost 0 inf + 4801 395.300 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) 395.300 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 395.301 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 395.301 * * [simplify]: iters left: 6 (15 enodes) 395.308 * * [simplify]: iters left: 5 (52 enodes) 395.325 * * [simplify]: iters left: 4 (72 enodes) 395.345 * * [simplify]: iters left: 3 (106 enodes) 395.365 * * [simplify]: iters left: 2 (153 enodes) 395.407 * * [simplify]: iters left: 1 (224 enodes) 395.461 * * [simplify]: Extracting #0: cost 1 inf + 0 395.461 * * [simplify]: Extracting #1: cost 30 inf + 0 395.461 * * [simplify]: Extracting #2: cost 70 inf + 0 395.462 * * [simplify]: Extracting #3: cost 84 inf + 84 395.462 * * [simplify]: Extracting #4: cost 62 inf + 3482 395.465 * * [simplify]: Extracting #5: cost 18 inf + 18667 395.470 * * [simplify]: Extracting #6: cost 0 inf + 25420 395.475 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 395.475 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 395.475 * * * * [progress]: [ 701 / 2703 ] simplifiying candidate # 395.476 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 395.476 * * [simplify]: iters left: 6 (20 enodes) 395.487 * * [simplify]: iters left: 5 (69 enodes) 395.509 * * [simplify]: iters left: 4 (95 enodes) 395.542 * * [simplify]: iters left: 3 (157 enodes) 395.588 * * [simplify]: iters left: 2 (332 enodes) 395.836 * * [simplify]: Extracting #0: cost 1 inf + 0 395.836 * * [simplify]: Extracting #1: cost 47 inf + 0 395.836 * * [simplify]: Extracting #2: cost 103 inf + 1 395.837 * * [simplify]: Extracting #3: cost 109 inf + 1 395.837 * * [simplify]: Extracting #4: cost 106 inf + 287 395.838 * * [simplify]: Extracting #5: cost 98 inf + 2745 395.839 * * [simplify]: Extracting #6: cost 79 inf + 6240 395.844 * * [simplify]: Extracting #7: cost 19 inf + 30785 395.856 * * [simplify]: Extracting #8: cost 0 inf + 39335 395.872 * * [simplify]: Extracting #9: cost 0 inf + 39215 395.889 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 395.889 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 395.890 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 395.890 * * [simplify]: iters left: 6 (17 enodes) 395.899 * * [simplify]: iters left: 5 (58 enodes) 395.920 * * [simplify]: iters left: 4 (81 enodes) 395.947 * * [simplify]: iters left: 3 (140 enodes) 395.990 * * [simplify]: iters left: 2 (234 enodes) 396.065 * * [simplify]: iters left: 1 (327 enodes) 396.156 * * [simplify]: Extracting #0: cost 1 inf + 0 396.156 * * [simplify]: Extracting #1: cost 38 inf + 0 396.156 * * [simplify]: Extracting #2: cost 74 inf + 0 396.157 * * [simplify]: Extracting #3: cost 81 inf + 0 396.157 * * [simplify]: Extracting #4: cost 78 inf + 387 396.158 * * [simplify]: Extracting #5: cost 62 inf + 3069 396.160 * * [simplify]: Extracting #6: cost 32 inf + 14923 396.166 * * [simplify]: Extracting #7: cost 3 inf + 26933 396.172 * * [simplify]: Extracting #8: cost 0 inf + 28343 396.179 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 396.179 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 396.179 * * * * [progress]: [ 702 / 2703 ] simplifiying candidate # 396.180 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt 1) 1)) 396.180 * * [simplify]: iters left: 6 (13 enodes) 396.184 * * [simplify]: iters left: 5 (45 enodes) 396.194 * * [simplify]: iters left: 4 (55 enodes) 396.203 * * [simplify]: iters left: 3 (81 enodes) 396.226 * * [simplify]: iters left: 2 (118 enodes) 396.278 * * [simplify]: iters left: 1 (150 enodes) 396.321 * * [simplify]: Extracting #0: cost 1 inf + 0 396.321 * * [simplify]: Extracting #1: cost 12 inf + 0 396.321 * * [simplify]: Extracting #2: cost 22 inf + 1 396.322 * * [simplify]: Extracting #3: cost 26 inf + 1 396.322 * * [simplify]: Extracting #4: cost 22 inf + 105 396.322 * * [simplify]: Extracting #5: cost 14 inf + 1315 396.323 * * [simplify]: Extracting #6: cost 0 inf + 4801 396.324 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) 396.324 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 396.324 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 396.324 * * [simplify]: iters left: 6 (15 enodes) 396.328 * * [simplify]: iters left: 5 (52 enodes) 396.342 * * [simplify]: iters left: 4 (72 enodes) 396.366 * * [simplify]: iters left: 3 (106 enodes) 396.401 * * [simplify]: iters left: 2 (153 enodes) 396.458 * * [simplify]: iters left: 1 (224 enodes) 396.522 * * [simplify]: Extracting #0: cost 1 inf + 0 396.522 * * [simplify]: Extracting #1: cost 30 inf + 0 396.523 * * [simplify]: Extracting #2: cost 70 inf + 0 396.523 * * [simplify]: Extracting #3: cost 84 inf + 84 396.524 * * [simplify]: Extracting #4: cost 62 inf + 3482 396.527 * * [simplify]: Extracting #5: cost 18 inf + 18667 396.536 * * [simplify]: Extracting #6: cost 0 inf + 25420 396.545 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 396.545 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 396.545 * * * * [progress]: [ 703 / 2703 ] simplifiying candidate # 396.546 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 396.546 * * [simplify]: iters left: 6 (22 enodes) 396.557 * * [simplify]: iters left: 5 (81 enodes) 396.585 * * [simplify]: iters left: 4 (146 enodes) 396.647 * * [simplify]: iters left: 3 (388 enodes) 396.936 * * [simplify]: Extracting #0: cost 1 inf + 0 396.936 * * [simplify]: Extracting #1: cost 130 inf + 0 396.938 * * [simplify]: Extracting #2: cost 292 inf + 1 396.941 * * [simplify]: Extracting #3: cost 299 inf + 1 396.944 * * [simplify]: Extracting #4: cost 276 inf + 6277 396.952 * * [simplify]: Extracting #5: cost 228 inf + 26485 396.962 * * [simplify]: Extracting #6: cost 219 inf + 28339 396.971 * * [simplify]: Extracting #7: cost 217 inf + 28502 396.982 * * [simplify]: Extracting #8: cost 207 inf + 33514 397.024 * * [simplify]: Extracting #9: cost 74 inf + 117909 397.061 * * [simplify]: Extracting #10: cost 3 inf + 163760 397.121 * * [simplify]: Extracting #11: cost 0 inf + 165712 397.162 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) 397.162 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 397.162 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 397.162 * * [simplify]: iters left: 6 (18 enodes) 397.167 * * [simplify]: iters left: 5 (61 enodes) 397.177 * * [simplify]: iters left: 4 (85 enodes) 397.191 * * [simplify]: iters left: 3 (150 enodes) 397.220 * * [simplify]: iters left: 2 (278 enodes) 397.288 * * [simplify]: iters left: 1 (464 enodes) 397.478 * * [simplify]: Extracting #0: cost 1 inf + 0 397.478 * * [simplify]: Extracting #1: cost 53 inf + 0 397.478 * * [simplify]: Extracting #2: cost 104 inf + 0 397.479 * * [simplify]: Extracting #3: cost 113 inf + 0 397.479 * * [simplify]: Extracting #4: cost 110 inf + 427 397.480 * * [simplify]: Extracting #5: cost 94 inf + 3690 397.484 * * [simplify]: Extracting #6: cost 37 inf + 28617 397.494 * * [simplify]: Extracting #7: cost 2 inf + 47315 397.505 * * [simplify]: Extracting #8: cost 0 inf + 48382 397.516 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 397.516 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 397.516 * * * * [progress]: [ 704 / 2703 ] simplifiying candidate # 397.516 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 397.516 * * [simplify]: iters left: 6 (22 enodes) 397.524 * * [simplify]: iters left: 5 (78 enodes) 397.538 * * [simplify]: iters left: 4 (122 enodes) 397.571 * * [simplify]: iters left: 3 (268 enodes) 397.741 * * [simplify]: Extracting #0: cost 1 inf + 0 397.741 * * [simplify]: Extracting #1: cost 81 inf + 0 397.742 * * [simplify]: Extracting #2: cost 175 inf + 1 397.742 * * [simplify]: Extracting #3: cost 182 inf + 1 397.743 * * [simplify]: Extracting #4: cost 174 inf + 1273 397.745 * * [simplify]: Extracting #5: cost 156 inf + 8370 397.748 * * [simplify]: Extracting #6: cost 106 inf + 26652 397.754 * * [simplify]: Extracting #7: cost 85 inf + 35931 397.769 * * [simplify]: Extracting #8: cost 18 inf + 77782 397.803 * * [simplify]: Extracting #9: cost 0 inf + 88830 397.833 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 397.833 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 397.833 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 397.834 * * [simplify]: iters left: 6 (19 enodes) 397.839 * * [simplify]: iters left: 5 (64 enodes) 397.849 * * [simplify]: iters left: 4 (88 enodes) 397.865 * * [simplify]: iters left: 3 (153 enodes) 397.901 * * [simplify]: iters left: 2 (280 enodes) 397.981 * * [simplify]: iters left: 1 (460 enodes) 398.158 * * [simplify]: Extracting #0: cost 1 inf + 0 398.158 * * [simplify]: Extracting #1: cost 53 inf + 0 398.159 * * [simplify]: Extracting #2: cost 105 inf + 0 398.159 * * [simplify]: Extracting #3: cost 115 inf + 0 398.160 * * [simplify]: Extracting #4: cost 113 inf + 366 398.160 * * [simplify]: Extracting #5: cost 97 inf + 3287 398.164 * * [simplify]: Extracting #6: cost 44 inf + 26241 398.174 * * [simplify]: Extracting #7: cost 0 inf + 49746 398.185 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 398.185 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 398.185 * * * * [progress]: [ 705 / 2703 ] simplifiying candidate # 398.185 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 398.185 * * [simplify]: iters left: 6 (21 enodes) 398.191 * * [simplify]: iters left: 5 (74 enodes) 398.203 * * [simplify]: iters left: 4 (116 enodes) 398.240 * * [simplify]: iters left: 3 (260 enodes) 398.368 * * [simplify]: Extracting #0: cost 1 inf + 0 398.369 * * [simplify]: Extracting #1: cost 84 inf + 0 398.369 * * [simplify]: Extracting #2: cost 178 inf + 1 398.370 * * [simplify]: Extracting #3: cost 184 inf + 1 398.371 * * [simplify]: Extracting #4: cost 157 inf + 7748 398.375 * * [simplify]: Extracting #5: cost 115 inf + 25761 398.379 * * [simplify]: Extracting #6: cost 104 inf + 28420 398.389 * * [simplify]: Extracting #7: cost 85 inf + 37159 398.403 * * [simplify]: Extracting #8: cost 17 inf + 76618 398.425 * * [simplify]: Extracting #9: cost 0 inf + 86844 398.454 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) 398.454 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 398.454 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 398.455 * * [simplify]: iters left: 6 (18 enodes) 398.463 * * [simplify]: iters left: 5 (61 enodes) 398.482 * * [simplify]: iters left: 4 (85 enodes) 398.507 * * [simplify]: iters left: 3 (150 enodes) 398.536 * * [simplify]: iters left: 2 (278 enodes) 398.630 * * [simplify]: iters left: 1 (464 enodes) 398.828 * * [simplify]: Extracting #0: cost 1 inf + 0 398.828 * * [simplify]: Extracting #1: cost 53 inf + 0 398.829 * * [simplify]: Extracting #2: cost 104 inf + 0 398.829 * * [simplify]: Extracting #3: cost 113 inf + 0 398.830 * * [simplify]: Extracting #4: cost 110 inf + 427 398.831 * * [simplify]: Extracting #5: cost 94 inf + 3690 398.835 * * [simplify]: Extracting #6: cost 37 inf + 27617 398.847 * * [simplify]: Extracting #7: cost 2 inf + 45235 398.857 * * [simplify]: Extracting #8: cost 0 inf + 46262 398.873 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 398.874 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 398.874 * * * * [progress]: [ 706 / 2703 ] simplifiying candidate # 398.874 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 398.875 * * [simplify]: iters left: 6 (15 enodes) 398.884 * * [simplify]: iters left: 5 (55 enodes) 398.903 * * [simplify]: iters left: 4 (83 enodes) 398.934 * * [simplify]: iters left: 3 (173 enodes) 399.033 * * [simplify]: iters left: 2 (383 enodes) 399.311 * * [simplify]: Extracting #0: cost 1 inf + 0 399.311 * * [simplify]: Extracting #1: cost 41 inf + 0 399.312 * * [simplify]: Extracting #2: cost 73 inf + 1 399.313 * * [simplify]: Extracting #3: cost 77 inf + 1 399.313 * * [simplify]: Extracting #4: cost 70 inf + 429 399.317 * * [simplify]: Extracting #5: cost 29 inf + 13681 399.323 * * [simplify]: Extracting #6: cost 1 inf + 24336 399.329 * * [simplify]: Extracting #7: cost 0 inf + 24758 399.338 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) 399.338 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 399.339 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 399.339 * * [simplify]: iters left: 6 (17 enodes) 399.343 * * [simplify]: iters left: 5 (58 enodes) 399.352 * * [simplify]: iters left: 4 (81 enodes) 399.365 * * [simplify]: iters left: 3 (126 enodes) 399.393 * * [simplify]: iters left: 2 (196 enodes) 399.443 * * [simplify]: iters left: 1 (320 enodes) 399.545 * * [simplify]: Extracting #0: cost 1 inf + 0 399.545 * * [simplify]: Extracting #1: cost 41 inf + 0 399.545 * * [simplify]: Extracting #2: cost 94 inf + 0 399.546 * * [simplify]: Extracting #3: cost 108 inf + 84 399.546 * * [simplify]: Extracting #4: cost 89 inf + 2493 399.549 * * [simplify]: Extracting #5: cost 39 inf + 21359 399.562 * * [simplify]: Extracting #6: cost 2 inf + 37265 399.571 * * [simplify]: Extracting #7: cost 0 inf + 38231 399.579 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) 399.579 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))))) 399.579 * * * * [progress]: [ 707 / 2703 ] simplifiying candidate # 399.579 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 399.580 * * [simplify]: iters left: 6 (21 enodes) 399.587 * * [simplify]: iters left: 5 (74 enodes) 399.603 * * [simplify]: iters left: 4 (116 enodes) 399.647 * * [simplify]: iters left: 3 (260 enodes) 399.794 * * [simplify]: Extracting #0: cost 1 inf + 0 399.794 * * [simplify]: Extracting #1: cost 84 inf + 0 399.794 * * [simplify]: Extracting #2: cost 178 inf + 1 399.795 * * [simplify]: Extracting #3: cost 184 inf + 1 399.797 * * [simplify]: Extracting #4: cost 157 inf + 7748 399.800 * * [simplify]: Extracting #5: cost 115 inf + 25761 399.804 * * [simplify]: Extracting #6: cost 104 inf + 28420 399.811 * * [simplify]: Extracting #7: cost 85 inf + 37159 399.838 * * [simplify]: Extracting #8: cost 17 inf + 76618 399.872 * * [simplify]: Extracting #9: cost 0 inf + 86844 399.894 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) 399.894 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 399.895 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 399.895 * * [simplify]: iters left: 6 (18 enodes) 399.901 * * [simplify]: iters left: 5 (61 enodes) 399.911 * * [simplify]: iters left: 4 (85 enodes) 399.935 * * [simplify]: iters left: 3 (150 enodes) 399.991 * * [simplify]: iters left: 2 (278 enodes) 400.079 * * [simplify]: iters left: 1 (464 enodes) 400.274 * * [simplify]: Extracting #0: cost 1 inf + 0 400.275 * * [simplify]: Extracting #1: cost 53 inf + 0 400.275 * * [simplify]: Extracting #2: cost 104 inf + 0 400.276 * * [simplify]: Extracting #3: cost 113 inf + 0 400.278 * * [simplify]: Extracting #4: cost 110 inf + 427 400.279 * * [simplify]: Extracting #5: cost 94 inf + 3690 400.287 * * [simplify]: Extracting #6: cost 37 inf + 27617 400.307 * * [simplify]: Extracting #7: cost 2 inf + 45235 400.328 * * [simplify]: Extracting #8: cost 0 inf + 46262 400.349 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 400.349 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 400.349 * * * * [progress]: [ 708 / 2703 ] simplifiying candidate # 400.350 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 400.350 * * [simplify]: iters left: 6 (14 enodes) 400.358 * * [simplify]: iters left: 5 (50 enodes) 400.376 * * [simplify]: iters left: 4 (85 enodes) 400.411 * * [simplify]: iters left: 3 (176 enodes) 400.486 * * [simplify]: iters left: 2 (385 enodes) 400.718 * * [simplify]: Extracting #0: cost 1 inf + 0 400.718 * * [simplify]: Extracting #1: cost 40 inf + 0 400.719 * * [simplify]: Extracting #2: cost 75 inf + 1 400.720 * * [simplify]: Extracting #3: cost 79 inf + 1 400.721 * * [simplify]: Extracting #4: cost 74 inf + 226 400.725 * * [simplify]: Extracting #5: cost 30 inf + 14464 400.736 * * [simplify]: Extracting #6: cost 0 inf + 25843 400.747 * * [simplify]: Extracting #7: cost 0 inf + 25803 400.759 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 400.759 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 400.760 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 400.760 * * [simplify]: iters left: 6 (17 enodes) 400.768 * * [simplify]: iters left: 5 (58 enodes) 400.786 * * [simplify]: iters left: 4 (81 enodes) 400.812 * * [simplify]: iters left: 3 (126 enodes) 400.857 * * [simplify]: iters left: 2 (196 enodes) 400.921 * * [simplify]: iters left: 1 (320 enodes) 401.016 * * [simplify]: Extracting #0: cost 1 inf + 0 401.016 * * [simplify]: Extracting #1: cost 41 inf + 0 401.016 * * [simplify]: Extracting #2: cost 94 inf + 0 401.017 * * [simplify]: Extracting #3: cost 108 inf + 84 401.018 * * [simplify]: Extracting #4: cost 89 inf + 2493 401.024 * * [simplify]: Extracting #5: cost 39 inf + 21359 401.040 * * [simplify]: Extracting #6: cost 2 inf + 37265 401.053 * * [simplify]: Extracting #7: cost 0 inf + 38231 401.063 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))) 401.063 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2)))))) 401.063 * * * * [progress]: [ 709 / 2703 ] simplifiying candidate # 401.063 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 401.064 * * [simplify]: iters left: 6 (21 enodes) 401.069 * * [simplify]: iters left: 5 (74 enodes) 401.082 * * [simplify]: iters left: 4 (113 enodes) 401.110 * * [simplify]: iters left: 3 (226 enodes) 401.211 * * [simplify]: Extracting #0: cost 1 inf + 0 401.211 * * [simplify]: Extracting #1: cost 68 inf + 0 401.212 * * [simplify]: Extracting #2: cost 143 inf + 1 401.213 * * [simplify]: Extracting #3: cost 150 inf + 1 401.213 * * [simplify]: Extracting #4: cost 142 inf + 1414 401.215 * * [simplify]: Extracting #5: cost 123 inf + 8154 401.217 * * [simplify]: Extracting #6: cost 105 inf + 12025 401.221 * * [simplify]: Extracting #7: cost 76 inf + 27265 401.236 * * [simplify]: Extracting #8: cost 8 inf + 66217 401.256 * * [simplify]: Extracting #9: cost 0 inf + 71331 401.270 * * [simplify]: Extracting #10: cost 0 inf + 71211 401.291 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2))))) 401.291 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 401.291 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 401.291 * * [simplify]: iters left: 6 (18 enodes) 401.301 * * [simplify]: iters left: 5 (61 enodes) 401.319 * * [simplify]: iters left: 4 (85 enodes) 401.347 * * [simplify]: iters left: 3 (150 enodes) 401.405 * * [simplify]: iters left: 2 (278 enodes) 401.519 * * [simplify]: iters left: 1 (464 enodes) 401.680 * * [simplify]: Extracting #0: cost 1 inf + 0 401.680 * * [simplify]: Extracting #1: cost 53 inf + 0 401.680 * * [simplify]: Extracting #2: cost 104 inf + 0 401.681 * * [simplify]: Extracting #3: cost 113 inf + 0 401.681 * * [simplify]: Extracting #4: cost 110 inf + 427 401.682 * * [simplify]: Extracting #5: cost 94 inf + 3450 401.688 * * [simplify]: Extracting #6: cost 37 inf + 27137 401.702 * * [simplify]: Extracting #7: cost 2 inf + 44915 401.715 * * [simplify]: Extracting #8: cost 0 inf + 45942 401.725 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 401.726 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 401.726 * * * * [progress]: [ 710 / 2703 ] simplifiying candidate # 401.726 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 401.726 * * [simplify]: iters left: 6 (21 enodes) 401.732 * * [simplify]: iters left: 5 (73 enodes) 401.749 * * [simplify]: iters left: 4 (106 enodes) 401.786 * * [simplify]: iters left: 3 (182 enodes) 401.844 * * [simplify]: iters left: 2 (361 enodes) 402.066 * * [simplify]: Extracting #0: cost 1 inf + 0 402.066 * * [simplify]: Extracting #1: cost 63 inf + 0 402.067 * * [simplify]: Extracting #2: cost 115 inf + 1 402.069 * * [simplify]: Extracting #3: cost 122 inf + 1 402.070 * * [simplify]: Extracting #4: cost 113 inf + 1475 402.074 * * [simplify]: Extracting #5: cost 83 inf + 11881 402.077 * * [simplify]: Extracting #6: cost 71 inf + 14684 402.080 * * [simplify]: Extracting #7: cost 68 inf + 14888 402.084 * * [simplify]: Extracting #8: cost 59 inf + 18395 402.093 * * [simplify]: Extracting #9: cost 10 inf + 45696 402.105 * * [simplify]: Extracting #10: cost 0 inf + 51675 402.128 * [simplify]: Simplified to (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 402.128 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 402.128 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 402.129 * * [simplify]: iters left: 6 (19 enodes) 402.138 * * [simplify]: iters left: 5 (64 enodes) 402.150 * * [simplify]: iters left: 4 (88 enodes) 402.165 * * [simplify]: iters left: 3 (153 enodes) 402.193 * * [simplify]: iters left: 2 (280 enodes) 402.707 * * [simplify]: iters left: 1 (460 enodes) 402.926 * * [simplify]: Extracting #0: cost 1 inf + 0 402.926 * * [simplify]: Extracting #1: cost 53 inf + 0 402.927 * * [simplify]: Extracting #2: cost 105 inf + 0 402.927 * * [simplify]: Extracting #3: cost 115 inf + 0 402.927 * * [simplify]: Extracting #4: cost 113 inf + 366 402.928 * * [simplify]: Extracting #5: cost 97 inf + 3047 402.931 * * [simplify]: Extracting #6: cost 44 inf + 24881 402.942 * * [simplify]: Extracting #7: cost 0 inf + 47306 402.953 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 402.953 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 402.953 * * * * [progress]: [ 711 / 2703 ] simplifiying candidate # 402.954 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 402.954 * * [simplify]: iters left: 6 (20 enodes) 402.959 * * [simplify]: iters left: 5 (69 enodes) 402.982 * * [simplify]: iters left: 4 (100 enodes) 403.021 * * [simplify]: iters left: 3 (177 enodes) 403.068 * * [simplify]: iters left: 2 (353 enodes) 403.299 * * [simplify]: Extracting #0: cost 1 inf + 0 403.300 * * [simplify]: Extracting #1: cost 73 inf + 0 403.301 * * [simplify]: Extracting #2: cost 124 inf + 1 403.302 * * [simplify]: Extracting #3: cost 130 inf + 1 403.304 * * [simplify]: Extracting #4: cost 120 inf + 1636 403.309 * * [simplify]: Extracting #5: cost 101 inf + 8959 403.316 * * [simplify]: Extracting #6: cost 64 inf + 20007 403.335 * * [simplify]: Extracting #7: cost 8 inf + 49115 403.360 * * [simplify]: Extracting #8: cost 0 inf + 53687 403.386 * [simplify]: Simplified to (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) 403.386 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 403.387 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 403.387 * * [simplify]: iters left: 6 (18 enodes) 403.395 * * [simplify]: iters left: 5 (61 enodes) 403.414 * * [simplify]: iters left: 4 (85 enodes) 403.443 * * [simplify]: iters left: 3 (150 enodes) 403.475 * * [simplify]: iters left: 2 (278 enodes) 403.606 * * [simplify]: iters left: 1 (464 enodes) 403.831 * * [simplify]: Extracting #0: cost 1 inf + 0 403.831 * * [simplify]: Extracting #1: cost 53 inf + 0 403.832 * * [simplify]: Extracting #2: cost 104 inf + 0 403.833 * * [simplify]: Extracting #3: cost 113 inf + 0 403.834 * * [simplify]: Extracting #4: cost 110 inf + 427 403.836 * * [simplify]: Extracting #5: cost 94 inf + 3450 403.843 * * [simplify]: Extracting #6: cost 37 inf + 26137 403.863 * * [simplify]: Extracting #7: cost 2 inf + 42835 403.873 * * [simplify]: Extracting #8: cost 0 inf + 43822 403.884 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 403.884 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 403.884 * * * * [progress]: [ 712 / 2703 ] simplifiying candidate # 403.884 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 403.884 * * [simplify]: iters left: 6 (14 enodes) 403.889 * * [simplify]: iters left: 5 (50 enodes) 403.900 * * [simplify]: iters left: 4 (69 enodes) 403.922 * * [simplify]: iters left: 3 (112 enodes) 403.961 * * [simplify]: iters left: 2 (176 enodes) 404.031 * * [simplify]: iters left: 1 (259 enodes) 404.109 * * [simplify]: Extracting #0: cost 1 inf + 0 404.109 * * [simplify]: Extracting #1: cost 25 inf + 0 404.109 * * [simplify]: Extracting #2: cost 45 inf + 1 404.110 * * [simplify]: Extracting #3: cost 49 inf + 1 404.110 * * [simplify]: Extracting #4: cost 44 inf + 226 404.111 * * [simplify]: Extracting #5: cost 18 inf + 6630 404.113 * * [simplify]: Extracting #6: cost 4 inf + 11117 404.116 * * [simplify]: Extracting #7: cost 0 inf + 12685 404.120 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (cos th)))) 404.120 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 404.120 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 404.120 * * [simplify]: iters left: 6 (17 enodes) 404.125 * * [simplify]: iters left: 5 (58 enodes) 404.137 * * [simplify]: iters left: 4 (81 enodes) 404.156 * * [simplify]: iters left: 3 (126 enodes) 404.179 * * [simplify]: iters left: 2 (196 enodes) 404.227 * * [simplify]: iters left: 1 (320 enodes) 404.368 * * [simplify]: Extracting #0: cost 1 inf + 0 404.368 * * [simplify]: Extracting #1: cost 41 inf + 0 404.369 * * [simplify]: Extracting #2: cost 94 inf + 0 404.369 * * [simplify]: Extracting #3: cost 108 inf + 84 404.371 * * [simplify]: Extracting #4: cost 89 inf + 2493 404.376 * * [simplify]: Extracting #5: cost 39 inf + 20479 404.389 * * [simplify]: Extracting #6: cost 2 inf + 35145 404.404 * * [simplify]: Extracting #7: cost 0 inf + 36031 404.418 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) 404.418 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))))) 404.418 * * * * [progress]: [ 713 / 2703 ] simplifiying candidate # 404.419 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 404.419 * * [simplify]: iters left: 6 (20 enodes) 404.429 * * [simplify]: iters left: 5 (69 enodes) 404.443 * * [simplify]: iters left: 4 (100 enodes) 404.461 * * [simplify]: iters left: 3 (177 enodes) 404.502 * * [simplify]: iters left: 2 (353 enodes) 404.763 * * [simplify]: Extracting #0: cost 1 inf + 0 404.764 * * [simplify]: Extracting #1: cost 73 inf + 0 404.765 * * [simplify]: Extracting #2: cost 124 inf + 1 404.766 * * [simplify]: Extracting #3: cost 130 inf + 1 404.768 * * [simplify]: Extracting #4: cost 120 inf + 1636 404.771 * * [simplify]: Extracting #5: cost 101 inf + 8959 404.778 * * [simplify]: Extracting #6: cost 64 inf + 20007 404.797 * * [simplify]: Extracting #7: cost 8 inf + 49115 404.823 * * [simplify]: Extracting #8: cost 0 inf + 53687 404.848 * [simplify]: Simplified to (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) 404.849 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 404.849 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 404.850 * * [simplify]: iters left: 6 (18 enodes) 404.859 * * [simplify]: iters left: 5 (61 enodes) 404.878 * * [simplify]: iters left: 4 (85 enodes) 404.897 * * [simplify]: iters left: 3 (150 enodes) 404.934 * * [simplify]: iters left: 2 (278 enodes) 405.035 * * [simplify]: iters left: 1 (464 enodes) 405.210 * * [simplify]: Extracting #0: cost 1 inf + 0 405.210 * * [simplify]: Extracting #1: cost 53 inf + 0 405.210 * * [simplify]: Extracting #2: cost 104 inf + 0 405.211 * * [simplify]: Extracting #3: cost 113 inf + 0 405.212 * * [simplify]: Extracting #4: cost 110 inf + 427 405.213 * * [simplify]: Extracting #5: cost 94 inf + 3450 405.220 * * [simplify]: Extracting #6: cost 37 inf + 26137 405.238 * * [simplify]: Extracting #7: cost 2 inf + 42835 405.257 * * [simplify]: Extracting #8: cost 0 inf + 43822 405.275 * [simplify]: Simplified to (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) 405.275 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))) 405.275 * * * * [progress]: [ 714 / 2703 ] simplifiying candidate # 405.276 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) 1)) 405.276 * * [simplify]: iters left: 6 (13 enodes) 405.282 * * [simplify]: iters left: 5 (45 enodes) 405.296 * * [simplify]: iters left: 4 (64 enodes) 405.316 * * [simplify]: iters left: 3 (107 enodes) 405.359 * * [simplify]: iters left: 2 (173 enodes) 405.433 * * [simplify]: iters left: 1 (256 enodes) 405.543 * * [simplify]: Extracting #0: cost 1 inf + 0 405.543 * * [simplify]: Extracting #1: cost 23 inf + 0 405.544 * * [simplify]: Extracting #2: cost 43 inf + 1 405.544 * * [simplify]: Extracting #3: cost 47 inf + 1 405.544 * * [simplify]: Extracting #4: cost 40 inf + 429 405.546 * * [simplify]: Extracting #5: cost 18 inf + 6127 405.551 * * [simplify]: Extracting #6: cost 2 inf + 11235 405.556 * * [simplify]: Extracting #7: cost 0 inf + 11999 405.561 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) 405.561 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 405.562 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 405.562 * * [simplify]: iters left: 6 (17 enodes) 405.570 * * [simplify]: iters left: 5 (58 enodes) 405.588 * * [simplify]: iters left: 4 (81 enodes) 405.613 * * [simplify]: iters left: 3 (126 enodes) 405.637 * * [simplify]: iters left: 2 (196 enodes) 405.713 * * [simplify]: iters left: 1 (320 enodes) 405.827 * * [simplify]: Extracting #0: cost 1 inf + 0 405.827 * * [simplify]: Extracting #1: cost 41 inf + 0 405.827 * * [simplify]: Extracting #2: cost 94 inf + 0 405.828 * * [simplify]: Extracting #3: cost 108 inf + 84 405.828 * * [simplify]: Extracting #4: cost 89 inf + 2493 405.831 * * [simplify]: Extracting #5: cost 39 inf + 20479 405.838 * * [simplify]: Extracting #6: cost 2 inf + 35145 405.849 * * [simplify]: Extracting #7: cost 0 inf + 36031 405.857 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))) 405.857 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2)))))) 405.857 * * * * [progress]: [ 715 / 2703 ] simplifiying candidate # 405.857 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 405.858 * * [simplify]: iters left: 6 (20 enodes) 405.863 * * [simplify]: iters left: 5 (71 enodes) 405.876 * * [simplify]: iters left: 4 (108 enodes) 405.902 * * [simplify]: iters left: 3 (209 enodes) 405.976 * * [simplify]: Extracting #0: cost 1 inf + 0 405.977 * * [simplify]: Extracting #1: cost 75 inf + 0 405.978 * * [simplify]: Extracting #2: cost 154 inf + 1 405.979 * * [simplify]: Extracting #3: cost 160 inf + 1 405.980 * * [simplify]: Extracting #4: cost 157 inf + 287 405.982 * * [simplify]: Extracting #5: cost 148 inf + 2907 405.986 * * [simplify]: Extracting #6: cost 112 inf + 12545 406.001 * * [simplify]: Extracting #7: cost 26 inf + 54558 406.028 * * [simplify]: Extracting #8: cost 0 inf + 67372 406.040 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) 406.040 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 406.041 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 406.041 * * [simplify]: iters left: 6 (17 enodes) 406.045 * * [simplify]: iters left: 5 (58 enodes) 406.054 * * [simplify]: iters left: 4 (81 enodes) 406.076 * * [simplify]: iters left: 3 (140 enodes) 406.129 * * [simplify]: iters left: 2 (234 enodes) 406.193 * * [simplify]: iters left: 1 (327 enodes) 406.325 * * [simplify]: Extracting #0: cost 1 inf + 0 406.325 * * [simplify]: Extracting #1: cost 38 inf + 0 406.326 * * [simplify]: Extracting #2: cost 74 inf + 0 406.326 * * [simplify]: Extracting #3: cost 81 inf + 0 406.327 * * [simplify]: Extracting #4: cost 78 inf + 387 406.327 * * [simplify]: Extracting #5: cost 62 inf + 3069 406.330 * * [simplify]: Extracting #6: cost 32 inf + 15363 406.336 * * [simplify]: Extracting #7: cost 3 inf + 28293 406.343 * * [simplify]: Extracting #8: cost 0 inf + 29823 406.349 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 406.349 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 406.349 * * * * [progress]: [ 716 / 2703 ] simplifiying candidate # 406.350 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 406.350 * * [simplify]: iters left: 6 (20 enodes) 406.355 * * [simplify]: iters left: 5 (70 enodes) 406.373 * * [simplify]: iters left: 4 (97 enodes) 406.408 * * [simplify]: iters left: 3 (160 enodes) 406.457 * * [simplify]: iters left: 2 (344 enodes) 406.722 * * [simplify]: Extracting #0: cost 1 inf + 0 406.722 * * [simplify]: Extracting #1: cost 52 inf + 0 406.722 * * [simplify]: Extracting #2: cost 118 inf + 1 406.723 * * [simplify]: Extracting #3: cost 125 inf + 1 406.723 * * [simplify]: Extracting #4: cost 121 inf + 428 406.724 * * [simplify]: Extracting #5: cost 106 inf + 4904 406.726 * * [simplify]: Extracting #6: cost 98 inf + 6317 406.728 * * [simplify]: Extracting #7: cost 93 inf + 6684 406.732 * * [simplify]: Extracting #8: cost 54 inf + 23369 406.749 * * [simplify]: Extracting #9: cost 2 inf + 48039 406.764 * * [simplify]: Extracting #10: cost 0 inf + 49066 406.774 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 406.774 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 406.774 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 406.774 * * [simplify]: iters left: 6 (18 enodes) 406.779 * * [simplify]: iters left: 5 (61 enodes) 406.791 * * [simplify]: iters left: 4 (84 enodes) 406.818 * * [simplify]: iters left: 3 (143 enodes) 406.844 * * [simplify]: iters left: 2 (237 enodes) 406.917 * * [simplify]: iters left: 1 (330 enodes) 407.046 * * [simplify]: Extracting #0: cost 1 inf + 0 407.046 * * [simplify]: Extracting #1: cost 38 inf + 0 407.046 * * [simplify]: Extracting #2: cost 75 inf + 0 407.047 * * [simplify]: Extracting #3: cost 83 inf + 0 407.048 * * [simplify]: Extracting #4: cost 79 inf + 588 407.049 * * [simplify]: Extracting #5: cost 64 inf + 3410 407.053 * * [simplify]: Extracting #6: cost 30 inf + 15645 407.067 * * [simplify]: Extracting #7: cost 5 inf + 28229 407.080 * * [simplify]: Extracting #8: cost 0 inf + 30947 407.093 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))) 407.094 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 407.094 * * * * [progress]: [ 717 / 2703 ] simplifiying candidate # 407.094 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 407.094 * * [simplify]: iters left: 6 (19 enodes) 407.104 * * [simplify]: iters left: 5 (66 enodes) 407.122 * * [simplify]: iters left: 4 (95 enodes) 407.139 * * [simplify]: iters left: 3 (156 enodes) 407.206 * * [simplify]: iters left: 2 (340 enodes) 407.452 * * [simplify]: Extracting #0: cost 1 inf + 0 407.453 * * [simplify]: Extracting #1: cost 56 inf + 0 407.454 * * [simplify]: Extracting #2: cost 117 inf + 1 407.454 * * [simplify]: Extracting #3: cost 123 inf + 1 407.455 * * [simplify]: Extracting #4: cost 119 inf + 408 407.456 * * [simplify]: Extracting #5: cost 104 inf + 4863 407.459 * * [simplify]: Extracting #6: cost 61 inf + 19044 407.467 * * [simplify]: Extracting #7: cost 5 inf + 42441 407.477 * * [simplify]: Extracting #8: cost 0 inf + 44902 407.495 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 407.495 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 407.496 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 407.496 * * [simplify]: iters left: 6 (17 enodes) 407.505 * * [simplify]: iters left: 5 (58 enodes) 407.523 * * [simplify]: iters left: 4 (81 enodes) 407.537 * * [simplify]: iters left: 3 (140 enodes) 407.573 * * [simplify]: iters left: 2 (234 enodes) 407.648 * * [simplify]: iters left: 1 (327 enodes) 407.753 * * [simplify]: Extracting #0: cost 1 inf + 0 407.753 * * [simplify]: Extracting #1: cost 38 inf + 0 407.754 * * [simplify]: Extracting #2: cost 74 inf + 0 407.754 * * [simplify]: Extracting #3: cost 81 inf + 0 407.754 * * [simplify]: Extracting #4: cost 78 inf + 387 407.755 * * [simplify]: Extracting #5: cost 62 inf + 3069 407.757 * * [simplify]: Extracting #6: cost 32 inf + 14923 407.763 * * [simplify]: Extracting #7: cost 3 inf + 26933 407.770 * * [simplify]: Extracting #8: cost 0 inf + 28343 407.779 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 407.779 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 407.779 * * * * [progress]: [ 718 / 2703 ] simplifiying candidate # 407.779 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ 1 (sqrt 1))) 407.779 * * [simplify]: iters left: 6 (13 enodes) 407.786 * * [simplify]: iters left: 5 (47 enodes) 407.798 * * [simplify]: iters left: 4 (59 enodes) 407.817 * * [simplify]: iters left: 3 (84 enodes) 407.836 * * [simplify]: iters left: 2 (122 enodes) 407.875 * * [simplify]: iters left: 1 (153 enodes) 407.934 * * [simplify]: Extracting #0: cost 1 inf + 0 407.934 * * [simplify]: Extracting #1: cost 12 inf + 0 407.934 * * [simplify]: Extracting #2: cost 22 inf + 1 407.935 * * [simplify]: Extracting #3: cost 26 inf + 1 407.935 * * [simplify]: Extracting #4: cost 21 inf + 146 407.935 * * [simplify]: Extracting #5: cost 12 inf + 1678 407.936 * * [simplify]: Extracting #6: cost 4 inf + 3813 407.937 * * [simplify]: Extracting #7: cost 0 inf + 4801 407.938 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) 407.938 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 407.938 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 407.938 * * [simplify]: iters left: 6 (15 enodes) 407.942 * * [simplify]: iters left: 5 (52 enodes) 407.951 * * [simplify]: iters left: 4 (72 enodes) 407.962 * * [simplify]: iters left: 3 (106 enodes) 407.992 * * [simplify]: iters left: 2 (153 enodes) 408.028 * * [simplify]: iters left: 1 (224 enodes) 408.103 * * [simplify]: Extracting #0: cost 1 inf + 0 408.104 * * [simplify]: Extracting #1: cost 30 inf + 0 408.104 * * [simplify]: Extracting #2: cost 70 inf + 0 408.105 * * [simplify]: Extracting #3: cost 84 inf + 84 408.106 * * [simplify]: Extracting #4: cost 62 inf + 3482 408.112 * * [simplify]: Extracting #5: cost 18 inf + 18667 408.118 * * [simplify]: Extracting #6: cost 0 inf + 25420 408.123 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 408.123 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 408.123 * * * * [progress]: [ 719 / 2703 ] simplifiying candidate # 408.123 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 408.123 * * [simplify]: iters left: 6 (19 enodes) 408.128 * * [simplify]: iters left: 5 (66 enodes) 408.140 * * [simplify]: iters left: 4 (95 enodes) 408.171 * * [simplify]: iters left: 3 (156 enodes) 408.246 * * [simplify]: iters left: 2 (340 enodes) 408.559 * * [simplify]: Extracting #0: cost 1 inf + 0 408.559 * * [simplify]: Extracting #1: cost 56 inf + 0 408.560 * * [simplify]: Extracting #2: cost 117 inf + 1 408.560 * * [simplify]: Extracting #3: cost 123 inf + 1 408.561 * * [simplify]: Extracting #4: cost 119 inf + 408 408.562 * * [simplify]: Extracting #5: cost 104 inf + 4863 408.565 * * [simplify]: Extracting #6: cost 61 inf + 19044 408.575 * * [simplify]: Extracting #7: cost 5 inf + 42441 408.591 * * [simplify]: Extracting #8: cost 0 inf + 44902 408.610 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 408.610 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 408.611 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 408.611 * * [simplify]: iters left: 6 (17 enodes) 408.619 * * [simplify]: iters left: 5 (58 enodes) 408.637 * * [simplify]: iters left: 4 (81 enodes) 408.664 * * [simplify]: iters left: 3 (140 enodes) 408.704 * * [simplify]: iters left: 2 (234 enodes) 408.779 * * [simplify]: iters left: 1 (327 enodes) 408.869 * * [simplify]: Extracting #0: cost 1 inf + 0 408.869 * * [simplify]: Extracting #1: cost 38 inf + 0 408.869 * * [simplify]: Extracting #2: cost 74 inf + 0 408.870 * * [simplify]: Extracting #3: cost 81 inf + 0 408.870 * * [simplify]: Extracting #4: cost 78 inf + 387 408.871 * * [simplify]: Extracting #5: cost 62 inf + 3069 408.875 * * [simplify]: Extracting #6: cost 32 inf + 14923 408.887 * * [simplify]: Extracting #7: cost 3 inf + 26933 408.899 * * [simplify]: Extracting #8: cost 0 inf + 28343 408.905 * [simplify]: Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 408.905 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 408.906 * * * * [progress]: [ 720 / 2703 ] simplifiying candidate # 408.906 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ 1 1)) 408.906 * * [simplify]: iters left: 6 (12 enodes) 408.910 * * [simplify]: iters left: 5 (40 enodes) 408.917 * * [simplify]: iters left: 4 (53 enodes) 408.926 * * [simplify]: iters left: 3 (80 enodes) 408.950 * * [simplify]: iters left: 2 (123 enodes) 408.992 * * [simplify]: iters left: 1 (155 enodes) 409.046 * * [simplify]: Extracting #0: cost 1 inf + 0 409.046 * * [simplify]: Extracting #1: cost 12 inf + 0 409.046 * * [simplify]: Extracting #2: cost 22 inf + 1 409.046 * * [simplify]: Extracting #3: cost 26 inf + 1 409.046 * * [simplify]: Extracting #4: cost 20 inf + 207 409.047 * * [simplify]: Extracting #5: cost 8 inf + 2405 409.048 * * [simplify]: Extracting #6: cost 1 inf + 4459 409.049 * * [simplify]: Extracting #7: cost 0 inf + 4801 409.050 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) 409.050 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 409.050 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 409.050 * * [simplify]: iters left: 6 (15 enodes) 409.054 * * [simplify]: iters left: 5 (52 enodes) 409.064 * * [simplify]: iters left: 4 (72 enodes) 409.082 * * [simplify]: iters left: 3 (106 enodes) 409.100 * * [simplify]: iters left: 2 (153 enodes) 409.140 * * [simplify]: iters left: 1 (224 enodes) 409.222 * * [simplify]: Extracting #0: cost 1 inf + 0 409.222 * * [simplify]: Extracting #1: cost 30 inf + 0 409.222 * * [simplify]: Extracting #2: cost 70 inf + 0 409.223 * * [simplify]: Extracting #3: cost 84 inf + 84 409.223 * * [simplify]: Extracting #4: cost 62 inf + 3482 409.226 * * [simplify]: Extracting #5: cost 18 inf + 18667 409.230 * * [simplify]: Extracting #6: cost 0 inf + 25420 409.236 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 409.236 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 409.236 * * * * [progress]: [ 721 / 2703 ] simplifiying candidate # 409.237 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) 1) 409.237 * * [simplify]: iters left: 6 (11 enodes) 409.243 * * [simplify]: iters left: 5 (37 enodes) 409.257 * * [simplify]: iters left: 4 (54 enodes) 409.279 * * [simplify]: iters left: 3 (80 enodes) 409.297 * * [simplify]: iters left: 2 (124 enodes) 409.331 * * [simplify]: iters left: 1 (155 enodes) 409.398 * * [simplify]: Extracting #0: cost 1 inf + 0 409.398 * * [simplify]: Extracting #1: cost 12 inf + 0 409.398 * * [simplify]: Extracting #2: cost 22 inf + 1 409.398 * * [simplify]: Extracting #3: cost 26 inf + 1 409.399 * * [simplify]: Extracting #4: cost 22 inf + 105 409.399 * * [simplify]: Extracting #5: cost 11 inf + 2021 409.401 * * [simplify]: Extracting #6: cost 2 inf + 4337 409.403 * * [simplify]: Extracting #7: cost 0 inf + 4801 409.405 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) 409.405 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 409.406 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 409.406 * * [simplify]: iters left: 6 (15 enodes) 409.413 * * [simplify]: iters left: 5 (52 enodes) 409.429 * * [simplify]: iters left: 4 (72 enodes) 409.453 * * [simplify]: iters left: 3 (106 enodes) 409.487 * * [simplify]: iters left: 2 (153 enodes) 409.526 * * [simplify]: iters left: 1 (224 enodes) 409.601 * * [simplify]: Extracting #0: cost 1 inf + 0 409.601 * * [simplify]: Extracting #1: cost 30 inf + 0 409.601 * * [simplify]: Extracting #2: cost 70 inf + 0 409.602 * * [simplify]: Extracting #3: cost 84 inf + 84 409.603 * * [simplify]: Extracting #4: cost 62 inf + 3482 409.609 * * [simplify]: Extracting #5: cost 18 inf + 18667 409.618 * * [simplify]: Extracting #6: cost 0 inf + 25420 409.627 * [simplify]: Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))) 409.627 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (cos th))))) 409.627 * * * * [progress]: [ 722 / 2703 ] simplifiying candidate # 409.627 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (cbrt (sqrt 2))) 409.628 * * [simplify]: iters left: 6 (11 enodes) 409.634 * * [simplify]: iters left: 5 (39 enodes) 409.647 * * [simplify]: iters left: 4 (52 enodes) 409.657 * * [simplify]: iters left: 3 (77 enodes) 409.670 * * [simplify]: iters left: 2 (104 enodes) 409.700 * * [simplify]: iters left: 1 (149 enodes) 409.765 * * [simplify]: Extracting #0: cost 1 inf + 0 409.765 * * [simplify]: Extracting #1: cost 17 inf + 0 409.765 * * [simplify]: Extracting #2: cost 31 inf + 1 409.766 * * [simplify]: Extracting #3: cost 35 inf + 1 409.766 * * [simplify]: Extracting #4: cost 31 inf + 105 409.767 * * [simplify]: Extracting #5: cost 22 inf + 1597 409.769 * * [simplify]: Extracting #6: cost 5 inf + 6268 409.771 * * [simplify]: Extracting #7: cost 0 inf + 7697 409.774 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 409.774 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 409.775 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 409.775 * * [simplify]: iters left: 6 (17 enodes) 409.784 * * [simplify]: iters left: 5 (60 enodes) 409.803 * * [simplify]: iters left: 4 (81 enodes) 409.830 * * [simplify]: iters left: 3 (118 enodes) 409.861 * * [simplify]: iters left: 2 (186 enodes) 409.920 * * [simplify]: iters left: 1 (289 enodes) 410.056 * * [simplify]: Extracting #0: cost 1 inf + 0 410.056 * * [simplify]: Extracting #1: cost 23 inf + 0 410.057 * * [simplify]: Extracting #2: cost 54 inf + 1 410.057 * * [simplify]: Extracting #3: cost 62 inf + 85 410.057 * * [simplify]: Extracting #4: cost 52 inf + 918 410.060 * * [simplify]: Extracting #5: cost 10 inf + 11944 410.067 * * [simplify]: Extracting #6: cost 0 inf + 15717 410.074 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) 410.075 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (cbrt (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))))) 410.075 * * * * [progress]: [ 723 / 2703 ] simplifiying candidate # 410.075 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 410.075 * * [simplify]: iters left: 6 (21 enodes) 410.088 * * [simplify]: iters left: 5 (88 enodes) 410.121 * * [simplify]: iters left: 4 (175 enodes) 410.172 * * [simplify]: iters left: 3 (342 enodes) 410.310 * * [simplify]: Extracting #0: cost 1 inf + 0 410.310 * * [simplify]: Extracting #1: cost 38 inf + 0 410.310 * * [simplify]: Extracting #2: cost 66 inf + 1 410.311 * * [simplify]: Extracting #3: cost 73 inf + 1 410.311 * * [simplify]: Extracting #4: cost 97 inf + 387 410.312 * * [simplify]: Extracting #5: cost 124 inf + 4283 410.315 * * [simplify]: Extracting #6: cost 88 inf + 17851 410.321 * * [simplify]: Extracting #7: cost 30 inf + 44166 410.330 * * [simplify]: Extracting #8: cost 1 inf + 52430 410.340 * * [simplify]: Extracting #9: cost 0 inf + 52409 410.349 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2)))))) 410.349 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 410.349 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 410.349 * * [simplify]: iters left: 6 (21 enodes) 410.355 * * [simplify]: iters left: 5 (90 enodes) 410.377 * * [simplify]: iters left: 4 (171 enodes) 410.441 * * [simplify]: iters left: 3 (305 enodes) 410.543 * * [simplify]: iters left: 2 (446 enodes) 410.712 * * [simplify]: Extracting #0: cost 1 inf + 0 410.712 * * [simplify]: Extracting #1: cost 21 inf + 0 410.713 * * [simplify]: Extracting #2: cost 42 inf + 0 410.713 * * [simplify]: Extracting #3: cost 68 inf + 0 410.714 * * [simplify]: Extracting #4: cost 187 inf + 387 410.717 * * [simplify]: Extracting #5: cost 219 inf + 6837 410.728 * * [simplify]: Extracting #6: cost 81 inf + 29596 410.741 * * [simplify]: Extracting #7: cost 3 inf + 50302 410.751 * * [simplify]: Extracting #8: cost 0 inf + 50851 410.761 * * [simplify]: Extracting #9: cost 0 inf + 50611 410.773 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* (* a1 a1) (* a1 a1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 410.773 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* (* a1 a1) (* a1 a1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))))) 410.773 * * * * [progress]: [ 724 / 2703 ] simplifiying candidate # 410.774 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 410.774 * * [simplify]: iters left: 6 (20 enodes) 410.785 * * [simplify]: iters left: 5 (81 enodes) 410.816 * * [simplify]: iters left: 4 (144 enodes) 410.853 * * [simplify]: iters left: 3 (267 enodes) 410.957 * * [simplify]: Extracting #0: cost 1 inf + 0 410.958 * * [simplify]: Extracting #1: cost 38 inf + 0 410.958 * * [simplify]: Extracting #2: cost 66 inf + 1 410.958 * * [simplify]: Extracting #3: cost 88 inf + 1 410.959 * * [simplify]: Extracting #4: cost 144 inf + 226 410.960 * * [simplify]: Extracting #5: cost 114 inf + 5214 410.964 * * [simplify]: Extracting #6: cost 32 inf + 26998 410.972 * * [simplify]: Extracting #7: cost 8 inf + 36509 410.980 * * [simplify]: Extracting #8: cost 0 inf + 39784 410.996 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))))) 410.996 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))))) (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 410.997 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (- (* a1 a1) (* a2 a2)))) 410.997 * * [simplify]: iters left: 6 (17 enodes) 411.005 * * [simplify]: iters left: 5 (61 enodes) 411.024 * * [simplify]: iters left: 4 (88 enodes) 411.055 * * [simplify]: iters left: 3 (125 enodes) 411.082 * * [simplify]: iters left: 2 (177 enodes) 411.116 * * [simplify]: iters left: 1 (279 enodes) 411.205 * * [simplify]: Extracting #0: cost 1 inf + 0 411.206 * * [simplify]: Extracting #1: cost 23 inf + 0 411.206 * * [simplify]: Extracting #2: cost 45 inf + 0 411.206 * * [simplify]: Extracting #3: cost 72 inf + 0 411.207 * * [simplify]: Extracting #4: cost 100 inf + 266 411.208 * * [simplify]: Extracting #5: cost 92 inf + 1098 411.212 * * [simplify]: Extracting #6: cost 32 inf + 14336 411.220 * * [simplify]: Extracting #7: cost 1 inf + 20850 411.227 * * [simplify]: Extracting #8: cost 0 inf + 21153 411.231 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 411.231 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 411.231 * * * * [progress]: [ 725 / 2703 ] simplifiying candidate # 411.232 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 411.232 * * [simplify]: iters left: 6 (19 enodes) 411.236 * * [simplify]: iters left: 5 (64 enodes) 411.248 * * [simplify]: iters left: 4 (93 enodes) 411.269 * * [simplify]: iters left: 3 (132 enodes) 411.291 * * [simplify]: iters left: 2 (179 enodes) 411.349 * * [simplify]: Extracting #0: cost 1 inf + 0 411.349 * * [simplify]: Extracting #1: cost 13 inf + 0 411.349 * * [simplify]: Extracting #2: cost 24 inf + 1 411.349 * * [simplify]: Extracting #3: cost 29 inf + 1 411.350 * * [simplify]: Extracting #4: cost 31 inf + 63 411.350 * * [simplify]: Extracting #5: cost 30 inf + 951 411.351 * * [simplify]: Extracting #6: cost 28 inf + 1457 411.351 * * [simplify]: Extracting #7: cost 24 inf + 1541 411.352 * * [simplify]: Extracting #8: cost 21 inf + 1745 411.353 * * [simplify]: Extracting #9: cost 14 inf + 3643 411.355 * * [simplify]: Extracting #10: cost 6 inf + 8374 411.360 * * [simplify]: Extracting #11: cost 0 inf + 11857 411.366 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 411.366 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 411.366 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 411.367 * * [simplify]: iters left: 6 (18 enodes) 411.375 * * [simplify]: iters left: 5 (61 enodes) 411.395 * * [simplify]: iters left: 4 (83 enodes) 411.421 * * [simplify]: iters left: 3 (134 enodes) 411.465 * * [simplify]: iters left: 2 (186 enodes) 411.529 * * [simplify]: iters left: 1 (244 enodes) 411.615 * * [simplify]: Extracting #0: cost 1 inf + 0 411.615 * * [simplify]: Extracting #1: cost 41 inf + 0 411.616 * * [simplify]: Extracting #2: cost 76 inf + 0 411.616 * * [simplify]: Extracting #3: cost 85 inf + 0 411.617 * * [simplify]: Extracting #4: cost 80 inf + 709 411.618 * * [simplify]: Extracting #5: cost 68 inf + 3328 411.619 * * [simplify]: Extracting #6: cost 63 inf + 4095 411.621 * * [simplify]: Extracting #7: cost 49 inf + 9115 411.633 * * [simplify]: Extracting #8: cost 9 inf + 29696 411.646 * * [simplify]: Extracting #9: cost 0 inf + 34788 411.657 * [simplify]: Simplified to (/ (/ (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 411.657 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (/ (cbrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 411.657 * * * * [progress]: [ 726 / 2703 ] simplifiying candidate # 411.657 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 411.657 * * [simplify]: iters left: 6 (18 enodes) 411.662 * * [simplify]: iters left: 5 (59 enodes) 411.672 * * [simplify]: iters left: 4 (77 enodes) 411.685 * * [simplify]: iters left: 3 (92 enodes) 411.710 * * [simplify]: iters left: 2 (104 enodes) 411.740 * * [simplify]: Extracting #0: cost 1 inf + 0 411.740 * * [simplify]: Extracting #1: cost 9 inf + 0 411.740 * * [simplify]: Extracting #2: cost 16 inf + 1 411.740 * * [simplify]: Extracting #3: cost 21 inf + 1 411.740 * * [simplify]: Extracting #4: cost 24 inf + 2 411.740 * * [simplify]: Extracting #5: cost 28 inf + 63 411.741 * * [simplify]: Extracting #6: cost 22 inf + 1094 411.741 * * [simplify]: Extracting #7: cost 17 inf + 1500 411.742 * * [simplify]: Extracting #8: cost 13 inf + 1745 411.743 * * [simplify]: Extracting #9: cost 7 inf + 3200 411.744 * * [simplify]: Extracting #10: cost 0 inf + 6907 411.747 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) 411.747 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (/ (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 411.747 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 411.747 * * [simplify]: iters left: 6 (18 enodes) 411.758 * * [simplify]: iters left: 5 (61 enodes) 411.776 * * [simplify]: iters left: 4 (83 enodes) 411.802 * * [simplify]: iters left: 3 (134 enodes) 411.846 * * [simplify]: iters left: 2 (186 enodes) 411.889 * * [simplify]: iters left: 1 (244 enodes) 411.958 * * [simplify]: Extracting #0: cost 1 inf + 0 411.958 * * [simplify]: Extracting #1: cost 41 inf + 0 411.958 * * [simplify]: Extracting #2: cost 76 inf + 0 411.959 * * [simplify]: Extracting #3: cost 85 inf + 0 411.959 * * [simplify]: Extracting #4: cost 80 inf + 709 411.960 * * [simplify]: Extracting #5: cost 68 inf + 3328 411.960 * * [simplify]: Extracting #6: cost 63 inf + 4095 411.961 * * [simplify]: Extracting #7: cost 49 inf + 8915 411.966 * * [simplify]: Extracting #8: cost 9 inf + 28376 411.974 * * [simplify]: Extracting #9: cost 0 inf + 33108 411.981 * [simplify]: Simplified to (/ (/ (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) 411.981 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (/ (cbrt (cos th)) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 411.981 * * * * [progress]: [ 727 / 2703 ] simplifiying candidate # 411.982 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 411.982 * * [simplify]: iters left: 6 (21 enodes) 411.993 * * [simplify]: iters left: 5 (72 enodes) 412.017 * * [simplify]: iters left: 4 (110 enodes) 412.055 * * [simplify]: iters left: 3 (185 enodes) 412.112 * * [simplify]: iters left: 2 (427 enodes) 412.351 * * [simplify]: Extracting #0: cost 1 inf + 0 412.351 * * [simplify]: Extracting #1: cost 37 inf + 0 412.352 * * [simplify]: Extracting #2: cost 79 inf + 1 412.353 * * [simplify]: Extracting #3: cost 85 inf + 1 412.354 * * [simplify]: Extracting #4: cost 87 inf + 124 412.355 * * [simplify]: Extracting #5: cost 87 inf + 1173 412.356 * * [simplify]: Extracting #6: cost 70 inf + 2896 412.359 * * [simplify]: Extracting #7: cost 48 inf + 11027 412.367 * * [simplify]: Extracting #8: cost 3 inf + 36769 412.377 * * [simplify]: Extracting #9: cost 0 inf + 38921 412.393 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 412.393 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 412.393 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 412.394 * * [simplify]: iters left: 6 (19 enodes) 412.403 * * [simplify]: iters left: 5 (66 enodes) 412.418 * * [simplify]: iters left: 4 (99 enodes) 412.436 * * [simplify]: iters left: 3 (212 enodes) 412.514 * * [simplify]: iters left: 2 (486 enodes) 412.738 * * [simplify]: Extracting #0: cost 1 inf + 0 412.738 * * [simplify]: Extracting #1: cost 110 inf + 0 412.739 * * [simplify]: Extracting #2: cost 216 inf + 0 412.740 * * [simplify]: Extracting #3: cost 227 inf + 0 412.741 * * [simplify]: Extracting #4: cost 211 inf + 4008 412.744 * * [simplify]: Extracting #5: cost 191 inf + 9940 412.751 * * [simplify]: Extracting #6: cost 162 inf + 22125 412.782 * * [simplify]: Extracting #7: cost 39 inf + 90051 412.827 * * [simplify]: Extracting #8: cost 0 inf + 113109 412.874 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 412.874 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 412.874 * * * * [progress]: [ 728 / 2703 ] simplifiying candidate # 412.875 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 412.875 * * [simplify]: iters left: 6 (21 enodes) 412.885 * * [simplify]: iters left: 5 (71 enodes) 412.908 * * [simplify]: iters left: 4 (101 enodes) 412.930 * * [simplify]: iters left: 3 (149 enodes) 412.975 * * [simplify]: iters left: 2 (271 enodes) 413.070 * * [simplify]: iters left: 1 (338 enodes) 413.187 * * [simplify]: Extracting #0: cost 1 inf + 0 413.187 * * [simplify]: Extracting #1: cost 21 inf + 0 413.188 * * [simplify]: Extracting #2: cost 42 inf + 1 413.188 * * [simplify]: Extracting #3: cost 49 inf + 1 413.188 * * [simplify]: Extracting #4: cost 52 inf + 63 413.189 * * [simplify]: Extracting #5: cost 53 inf + 769 413.190 * * [simplify]: Extracting #6: cost 37 inf + 2390 413.191 * * [simplify]: Extracting #7: cost 11 inf + 12309 413.195 * * [simplify]: Extracting #8: cost 0 inf + 17685 413.199 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (* (cbrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 413.199 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (* (cbrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 413.199 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 413.200 * * [simplify]: iters left: 6 (20 enodes) 413.204 * * [simplify]: iters left: 5 (69 enodes) 413.216 * * [simplify]: iters left: 4 (102 enodes) 413.234 * * [simplify]: iters left: 3 (215 enodes) 413.301 * * [simplify]: iters left: 2 (491 enodes) 413.562 * * [simplify]: Extracting #0: cost 1 inf + 0 413.562 * * [simplify]: Extracting #1: cost 106 inf + 0 413.563 * * [simplify]: Extracting #2: cost 211 inf + 0 413.564 * * [simplify]: Extracting #3: cost 223 inf + 0 413.565 * * [simplify]: Extracting #4: cost 212 inf + 2319 413.568 * * [simplify]: Extracting #5: cost 168 inf + 17741 413.576 * * [simplify]: Extracting #6: cost 105 inf + 49327 413.595 * * [simplify]: Extracting #7: cost 24 inf + 97484 413.636 * * [simplify]: Extracting #8: cost 0 inf + 112510 413.660 * [simplify]: Simplified to (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 413.660 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 413.660 * * * * [progress]: [ 729 / 2703 ] simplifiying candidate # 413.660 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 413.660 * * [simplify]: iters left: 6 (20 enodes) 413.668 * * [simplify]: iters left: 5 (67 enodes) 413.692 * * [simplify]: iters left: 4 (97 enodes) 413.716 * * [simplify]: iters left: 3 (145 enodes) 413.758 * * [simplify]: iters left: 2 (264 enodes) 413.856 * * [simplify]: iters left: 1 (330 enodes) 413.958 * * [simplify]: Extracting #0: cost 1 inf + 0 413.959 * * [simplify]: Extracting #1: cost 21 inf + 0 413.959 * * [simplify]: Extracting #2: cost 41 inf + 1 413.959 * * [simplify]: Extracting #3: cost 47 inf + 1 413.960 * * [simplify]: Extracting #4: cost 50 inf + 63 413.960 * * [simplify]: Extracting #5: cost 50 inf + 950 413.961 * * [simplify]: Extracting #6: cost 37 inf + 2268 413.963 * * [simplify]: Extracting #7: cost 23 inf + 5712 413.968 * * [simplify]: Extracting #8: cost 1 inf + 15657 413.976 * * [simplify]: Extracting #9: cost 0 inf + 16321 413.984 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cos th)) (cbrt (cos th)))) 413.984 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 413.984 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 413.985 * * [simplify]: iters left: 6 (19 enodes) 413.994 * * [simplify]: iters left: 5 (66 enodes) 414.009 * * [simplify]: iters left: 4 (99 enodes) 414.027 * * [simplify]: iters left: 3 (212 enodes) 414.093 * * [simplify]: iters left: 2 (486 enodes) 414.366 * * [simplify]: Extracting #0: cost 1 inf + 0 414.366 * * [simplify]: Extracting #1: cost 110 inf + 0 414.367 * * [simplify]: Extracting #2: cost 216 inf + 0 414.368 * * [simplify]: Extracting #3: cost 227 inf + 0 414.369 * * [simplify]: Extracting #4: cost 211 inf + 4008 414.371 * * [simplify]: Extracting #5: cost 191 inf + 9940 414.374 * * [simplify]: Extracting #6: cost 162 inf + 21805 414.399 * * [simplify]: Extracting #7: cost 39 inf + 86331 414.448 * * [simplify]: Extracting #8: cost 0 inf + 108069 414.492 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 414.492 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 414.493 * * * * [progress]: [ 730 / 2703 ] simplifiying candidate # 414.493 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 414.493 * * [simplify]: iters left: 6 (14 enodes) 414.503 * * [simplify]: iters left: 5 (48 enodes) 414.519 * * [simplify]: iters left: 4 (66 enodes) 414.540 * * [simplify]: iters left: 3 (94 enodes) 414.576 * * [simplify]: iters left: 2 (130 enodes) 414.608 * * [simplify]: iters left: 1 (155 enodes) 414.642 * * [simplify]: Extracting #0: cost 1 inf + 0 414.642 * * [simplify]: Extracting #1: cost 12 inf + 0 414.643 * * [simplify]: Extracting #2: cost 22 inf + 1 414.643 * * [simplify]: Extracting #3: cost 26 inf + 1 414.643 * * [simplify]: Extracting #4: cost 26 inf + 63 414.643 * * [simplify]: Extracting #5: cost 23 inf + 769 414.643 * * [simplify]: Extracting #6: cost 14 inf + 1901 414.644 * * [simplify]: Extracting #7: cost 13 inf + 2062 414.644 * * [simplify]: Extracting #8: cost 9 inf + 3167 414.645 * * [simplify]: Extracting #9: cost 2 inf + 5921 414.647 * * [simplify]: Extracting #10: cost 0 inf + 6805 414.648 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 414.648 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 414.649 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 414.649 * * [simplify]: iters left: 6 (18 enodes) 414.654 * * [simplify]: iters left: 5 (63 enodes) 414.671 * * [simplify]: iters left: 4 (95 enodes) 414.689 * * [simplify]: iters left: 3 (187 enodes) 414.761 * * [simplify]: iters left: 2 (383 enodes) 414.963 * * [simplify]: Extracting #0: cost 1 inf + 0 414.963 * * [simplify]: Extracting #1: cost 78 inf + 0 414.964 * * [simplify]: Extracting #2: cost 150 inf + 0 414.965 * * [simplify]: Extracting #3: cost 163 inf + 0 414.967 * * [simplify]: Extracting #4: cost 149 inf + 1436 414.975 * * [simplify]: Extracting #5: cost 76 inf + 28398 414.998 * * [simplify]: Extracting #6: cost 7 inf + 61616 415.015 * * [simplify]: Extracting #7: cost 0 inf + 65402 415.029 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 415.029 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 415.029 * * * * [progress]: [ 731 / 2703 ] simplifiying candidate # 415.029 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 415.029 * * [simplify]: iters left: 6 (20 enodes) 415.035 * * [simplify]: iters left: 5 (67 enodes) 415.061 * * [simplify]: iters left: 4 (97 enodes) 415.094 * * [simplify]: iters left: 3 (145 enodes) 415.151 * * [simplify]: iters left: 2 (264 enodes) 415.233 * * [simplify]: iters left: 1 (330 enodes) 415.331 * * [simplify]: Extracting #0: cost 1 inf + 0 415.331 * * [simplify]: Extracting #1: cost 21 inf + 0 415.331 * * [simplify]: Extracting #2: cost 41 inf + 1 415.331 * * [simplify]: Extracting #3: cost 47 inf + 1 415.332 * * [simplify]: Extracting #4: cost 50 inf + 63 415.332 * * [simplify]: Extracting #5: cost 50 inf + 950 415.333 * * [simplify]: Extracting #6: cost 37 inf + 2268 415.337 * * [simplify]: Extracting #7: cost 23 inf + 5712 415.342 * * [simplify]: Extracting #8: cost 1 inf + 15657 415.350 * * [simplify]: Extracting #9: cost 0 inf + 16321 415.357 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cos th)) (cbrt (cos th)))) 415.357 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 415.358 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 415.359 * * [simplify]: iters left: 6 (19 enodes) 415.368 * * [simplify]: iters left: 5 (66 enodes) 415.389 * * [simplify]: iters left: 4 (99 enodes) 415.415 * * [simplify]: iters left: 3 (212 enodes) 415.477 * * [simplify]: iters left: 2 (486 enodes) 415.785 * * [simplify]: Extracting #0: cost 1 inf + 0 415.785 * * [simplify]: Extracting #1: cost 110 inf + 0 415.786 * * [simplify]: Extracting #2: cost 216 inf + 0 415.787 * * [simplify]: Extracting #3: cost 227 inf + 0 415.788 * * [simplify]: Extracting #4: cost 211 inf + 4008 415.790 * * [simplify]: Extracting #5: cost 191 inf + 9940 415.793 * * [simplify]: Extracting #6: cost 162 inf + 21805 415.822 * * [simplify]: Extracting #7: cost 39 inf + 86331 415.845 * * [simplify]: Extracting #8: cost 0 inf + 108069 415.884 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 415.885 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 415.885 * * * * [progress]: [ 732 / 2703 ] simplifiying candidate # 415.885 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 415.885 * * [simplify]: iters left: 6 (13 enodes) 415.893 * * [simplify]: iters left: 5 (43 enodes) 415.907 * * [simplify]: iters left: 4 (63 enodes) 415.918 * * [simplify]: iters left: 3 (94 enodes) 415.940 * * [simplify]: iters left: 2 (144 enodes) 416.009 * * [simplify]: iters left: 1 (178 enodes) 416.050 * * [simplify]: Extracting #0: cost 1 inf + 0 416.050 * * [simplify]: Extracting #1: cost 12 inf + 0 416.051 * * [simplify]: Extracting #2: cost 22 inf + 1 416.051 * * [simplify]: Extracting #3: cost 26 inf + 1 416.051 * * [simplify]: Extracting #4: cost 26 inf + 63 416.051 * * [simplify]: Extracting #5: cost 22 inf + 951 416.051 * * [simplify]: Extracting #6: cost 18 inf + 1396 416.052 * * [simplify]: Extracting #7: cost 15 inf + 1780 416.052 * * [simplify]: Extracting #8: cost 8 inf + 3710 416.054 * * [simplify]: Extracting #9: cost 0 inf + 6805 416.056 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 416.056 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 416.057 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 416.057 * * [simplify]: iters left: 6 (18 enodes) 416.066 * * [simplify]: iters left: 5 (63 enodes) 416.080 * * [simplify]: iters left: 4 (95 enodes) 416.097 * * [simplify]: iters left: 3 (187 enodes) 416.158 * * [simplify]: iters left: 2 (383 enodes) 416.315 * * [simplify]: Extracting #0: cost 1 inf + 0 416.316 * * [simplify]: Extracting #1: cost 78 inf + 0 416.316 * * [simplify]: Extracting #2: cost 150 inf + 0 416.317 * * [simplify]: Extracting #3: cost 163 inf + 0 416.318 * * [simplify]: Extracting #4: cost 149 inf + 1436 416.321 * * [simplify]: Extracting #5: cost 76 inf + 28398 416.337 * * [simplify]: Extracting #6: cost 7 inf + 61616 416.355 * * [simplify]: Extracting #7: cost 0 inf + 65402 416.369 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 416.369 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 416.369 * * * * [progress]: [ 733 / 2703 ] simplifiying candidate # 416.369 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 416.369 * * [simplify]: iters left: 6 (21 enodes) 416.375 * * [simplify]: iters left: 5 (73 enodes) 416.395 * * [simplify]: iters left: 4 (111 enodes) 416.419 * * [simplify]: iters left: 3 (185 enodes) 416.486 * * [simplify]: iters left: 2 (423 enodes) 416.763 * * [simplify]: Extracting #0: cost 1 inf + 0 416.763 * * [simplify]: Extracting #1: cost 37 inf + 0 416.764 * * [simplify]: Extracting #2: cost 81 inf + 1 416.764 * * [simplify]: Extracting #3: cost 88 inf + 1 416.765 * * [simplify]: Extracting #4: cost 92 inf + 63 416.766 * * [simplify]: Extracting #5: cost 87 inf + 1173 416.768 * * [simplify]: Extracting #6: cost 59 inf + 6837 416.776 * * [simplify]: Extracting #7: cost 33 inf + 20507 416.793 * * [simplify]: Extracting #8: cost 0 inf + 38630 416.811 * * [simplify]: Extracting #9: cost 0 inf + 38510 416.821 * * [simplify]: Extracting #10: cost 0 inf + 38470 416.830 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (cbrt (fabs (cbrt 2)))) 416.830 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 416.830 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 416.830 * * [simplify]: iters left: 6 (21 enodes) 416.836 * * [simplify]: iters left: 5 (72 enodes) 416.855 * * [simplify]: iters left: 4 (105 enodes) 416.887 * * [simplify]: iters left: 3 (218 enodes) 416.965 * * [simplify]: iters left: 2 (495 enodes) 417.256 * * [simplify]: Extracting #0: cost 1 inf + 0 417.256 * * [simplify]: Extracting #1: cost 117 inf + 0 417.260 * * [simplify]: Extracting #2: cost 223 inf + 0 417.261 * * [simplify]: Extracting #3: cost 236 inf + 0 417.262 * * [simplify]: Extracting #4: cost 224 inf + 3102 417.266 * * [simplify]: Extracting #5: cost 164 inf + 29389 417.285 * * [simplify]: Extracting #6: cost 36 inf + 105153 417.326 * * [simplify]: Extracting #7: cost 0 inf + 127578 417.355 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 417.355 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 417.356 * * * * [progress]: [ 734 / 2703 ] simplifiying candidate # 417.356 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 417.356 * * [simplify]: iters left: 6 (21 enodes) 417.367 * * [simplify]: iters left: 5 (72 enodes) 417.385 * * [simplify]: iters left: 4 (102 enodes) 417.402 * * [simplify]: iters left: 3 (149 enodes) 417.433 * * [simplify]: iters left: 2 (271 enodes) 417.532 * * [simplify]: iters left: 1 (338 enodes) 417.627 * * [simplify]: Extracting #0: cost 1 inf + 0 417.627 * * [simplify]: Extracting #1: cost 21 inf + 0 417.628 * * [simplify]: Extracting #2: cost 42 inf + 1 417.628 * * [simplify]: Extracting #3: cost 50 inf + 1 417.628 * * [simplify]: Extracting #4: cost 54 inf + 63 417.628 * * [simplify]: Extracting #5: cost 49 inf + 1093 417.629 * * [simplify]: Extracting #6: cost 27 inf + 5486 417.631 * * [simplify]: Extracting #7: cost 9 inf + 12235 417.635 * * [simplify]: Extracting #8: cost 0 inf + 16885 417.638 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (* (cbrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 417.639 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (* (cbrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 417.639 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 417.639 * * [simplify]: iters left: 6 (22 enodes) 417.644 * * [simplify]: iters left: 5 (75 enodes) 417.667 * * [simplify]: iters left: 4 (108 enodes) 417.691 * * [simplify]: iters left: 3 (221 enodes) 417.751 * * [simplify]: iters left: 2 (499 enodes) 418.068 * * [simplify]: Extracting #0: cost 1 inf + 0 418.068 * * [simplify]: Extracting #1: cost 115 inf + 0 418.069 * * [simplify]: Extracting #2: cost 221 inf + 0 418.070 * * [simplify]: Extracting #3: cost 235 inf + 0 418.071 * * [simplify]: Extracting #4: cost 226 inf + 1656 418.073 * * [simplify]: Extracting #5: cost 212 inf + 4116 418.074 * * [simplify]: Extracting #6: cost 205 inf + 5687 418.079 * * [simplify]: Extracting #7: cost 147 inf + 34526 418.118 * * [simplify]: Extracting #8: cost 22 inf + 113907 418.173 * * [simplify]: Extracting #9: cost 0 inf + 128548 418.207 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt (cbrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 418.207 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (* (cbrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt (cbrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 418.208 * * * * [progress]: [ 735 / 2703 ] simplifiying candidate # 418.208 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 418.208 * * [simplify]: iters left: 6 (20 enodes) 418.213 * * [simplify]: iters left: 5 (68 enodes) 418.224 * * [simplify]: iters left: 4 (98 enodes) 418.245 * * [simplify]: iters left: 3 (146 enodes) 418.287 * * [simplify]: iters left: 2 (268 enodes) 418.394 * * [simplify]: iters left: 1 (335 enodes) 418.526 * * [simplify]: Extracting #0: cost 1 inf + 0 418.526 * * [simplify]: Extracting #1: cost 21 inf + 0 418.526 * * [simplify]: Extracting #2: cost 41 inf + 1 418.527 * * [simplify]: Extracting #3: cost 48 inf + 1 418.527 * * [simplify]: Extracting #4: cost 52 inf + 63 418.528 * * [simplify]: Extracting #5: cost 43 inf + 1900 418.529 * * [simplify]: Extracting #6: cost 27 inf + 4682 418.531 * * [simplify]: Extracting #7: cost 17 inf + 7463 418.534 * * [simplify]: Extracting #8: cost 1 inf + 15138 418.537 * * [simplify]: Extracting #9: cost 0 inf + 15521 418.540 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 418.541 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 418.541 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 418.541 * * [simplify]: iters left: 6 (21 enodes) 418.546 * * [simplify]: iters left: 5 (72 enodes) 418.558 * * [simplify]: iters left: 4 (105 enodes) 418.599 * * [simplify]: iters left: 3 (218 enodes) 418.699 * * [simplify]: iters left: 2 (495 enodes) 418.950 * * [simplify]: Extracting #0: cost 1 inf + 0 418.951 * * [simplify]: Extracting #1: cost 117 inf + 0 418.952 * * [simplify]: Extracting #2: cost 223 inf + 0 418.954 * * [simplify]: Extracting #3: cost 236 inf + 0 418.957 * * [simplify]: Extracting #4: cost 224 inf + 3102 418.965 * * [simplify]: Extracting #5: cost 164 inf + 28789 419.007 * * [simplify]: Extracting #6: cost 36 inf + 101233 419.033 * * [simplify]: Extracting #7: cost 0 inf + 122378 419.076 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 419.076 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 419.076 * * * * [progress]: [ 736 / 2703 ] simplifiying candidate # 419.077 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 419.077 * * [simplify]: iters left: 6 (14 enodes) 419.086 * * [simplify]: iters left: 5 (49 enodes) 419.099 * * [simplify]: iters left: 4 (67 enodes) 419.110 * * [simplify]: iters left: 3 (95 enodes) 419.137 * * [simplify]: iters left: 2 (133 enodes) 419.194 * * [simplify]: iters left: 1 (158 enodes) 419.234 * * [simplify]: Extracting #0: cost 1 inf + 0 419.234 * * [simplify]: Extracting #1: cost 12 inf + 0 419.234 * * [simplify]: Extracting #2: cost 22 inf + 1 419.234 * * [simplify]: Extracting #3: cost 27 inf + 1 419.234 * * [simplify]: Extracting #4: cost 28 inf + 63 419.235 * * [simplify]: Extracting #5: cost 17 inf + 1295 419.235 * * [simplify]: Extracting #6: cost 8 inf + 3710 419.236 * * [simplify]: Extracting #7: cost 1 inf + 5943 419.238 * * [simplify]: Extracting #8: cost 0 inf + 6325 419.239 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) 419.239 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 419.239 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 419.239 * * [simplify]: iters left: 6 (20 enodes) 419.244 * * [simplify]: iters left: 5 (69 enodes) 419.263 * * [simplify]: iters left: 4 (101 enodes) 419.299 * * [simplify]: iters left: 3 (193 enodes) 419.360 * * [simplify]: iters left: 2 (392 enodes) 419.547 * * [simplify]: Extracting #0: cost 1 inf + 0 419.547 * * [simplify]: Extracting #1: cost 78 inf + 0 419.548 * * [simplify]: Extracting #2: cost 151 inf + 0 419.550 * * [simplify]: Extracting #3: cost 166 inf + 0 419.551 * * [simplify]: Extracting #4: cost 152 inf + 1357 419.555 * * [simplify]: Extracting #5: cost 104 inf + 15922 419.568 * * [simplify]: Extracting #6: cost 51 inf + 43371 419.590 * * [simplify]: Extracting #7: cost 3 inf + 70738 419.608 * * [simplify]: Extracting #8: cost 0 inf + 72646 419.629 * [simplify]: Simplified to (/ (/ (* (+ (* a2 a2) (* a1 a1)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt 2)))) (cbrt (sqrt 2))) 419.629 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (/ (* (+ (* a2 a2) (* a1 a1)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt 2)))) (cbrt (sqrt 2))))) 419.630 * * * * [progress]: [ 737 / 2703 ] simplifiying candidate # 419.630 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 419.630 * * [simplify]: iters left: 6 (20 enodes) 419.641 * * [simplify]: iters left: 5 (68 enodes) 419.663 * * [simplify]: iters left: 4 (98 enodes) 419.696 * * [simplify]: iters left: 3 (146 enodes) 419.757 * * [simplify]: iters left: 2 (268 enodes) 419.850 * * [simplify]: iters left: 1 (335 enodes) 419.955 * * [simplify]: Extracting #0: cost 1 inf + 0 419.955 * * [simplify]: Extracting #1: cost 21 inf + 0 419.955 * * [simplify]: Extracting #2: cost 41 inf + 1 419.956 * * [simplify]: Extracting #3: cost 48 inf + 1 419.956 * * [simplify]: Extracting #4: cost 52 inf + 63 419.956 * * [simplify]: Extracting #5: cost 43 inf + 1900 419.957 * * [simplify]: Extracting #6: cost 27 inf + 4682 419.958 * * [simplify]: Extracting #7: cost 17 inf + 7463 419.960 * * [simplify]: Extracting #8: cost 1 inf + 15138 419.964 * * [simplify]: Extracting #9: cost 0 inf + 15521 419.968 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 419.968 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (fabs (cbrt 2)))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 419.968 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 419.968 * * [simplify]: iters left: 6 (21 enodes) 419.974 * * [simplify]: iters left: 5 (72 enodes) 419.985 * * [simplify]: iters left: 4 (105 enodes) 420.005 * * [simplify]: iters left: 3 (218 enodes) 420.069 * * [simplify]: iters left: 2 (495 enodes) 420.378 * * [simplify]: Extracting #0: cost 1 inf + 0 420.378 * * [simplify]: Extracting #1: cost 117 inf + 0 420.380 * * [simplify]: Extracting #2: cost 223 inf + 0 420.382 * * [simplify]: Extracting #3: cost 236 inf + 0 420.384 * * [simplify]: Extracting #4: cost 224 inf + 3102 420.392 * * [simplify]: Extracting #5: cost 164 inf + 28789 420.429 * * [simplify]: Extracting #6: cost 36 inf + 101233 420.482 * * [simplify]: Extracting #7: cost 0 inf + 122378 420.524 * [simplify]: Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 420.524 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 420.524 * * * * [progress]: [ 738 / 2703 ] simplifiying candidate # 420.524 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 420.524 * * [simplify]: iters left: 6 (13 enodes) 420.528 * * [simplify]: iters left: 5 (44 enodes) 420.536 * * [simplify]: iters left: 4 (64 enodes) 420.550 * * [simplify]: iters left: 3 (95 enodes) 420.592 * * [simplify]: iters left: 2 (149 enodes) 420.633 * * [simplify]: iters left: 1 (183 enodes) 420.679 * * [simplify]: Extracting #0: cost 1 inf + 0 420.680 * * [simplify]: Extracting #1: cost 12 inf + 0 420.680 * * [simplify]: Extracting #2: cost 22 inf + 1 420.680 * * [simplify]: Extracting #3: cost 27 inf + 1 420.680 * * [simplify]: Extracting #4: cost 27 inf + 124 420.681 * * [simplify]: Extracting #5: cost 18 inf + 1214 420.681 * * [simplify]: Extracting #6: cost 11 inf + 2624 420.683 * * [simplify]: Extracting #7: cost 1 inf + 6083 420.686 * * [simplify]: Extracting #8: cost 0 inf + 6325 420.688 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) 420.688 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 420.689 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 420.689 * * [simplify]: iters left: 6 (20 enodes) 420.699 * * [simplify]: iters left: 5 (69 enodes) 420.721 * * [simplify]: iters left: 4 (101 enodes) 420.740 * * [simplify]: iters left: 3 (193 enodes) 420.785 * * [simplify]: iters left: 2 (392 enodes) 420.950 * * [simplify]: Extracting #0: cost 1 inf + 0 420.950 * * [simplify]: Extracting #1: cost 78 inf + 0 420.951 * * [simplify]: Extracting #2: cost 151 inf + 0 420.953 * * [simplify]: Extracting #3: cost 166 inf + 0 420.954 * * [simplify]: Extracting #4: cost 152 inf + 1357 420.958 * * [simplify]: Extracting #5: cost 104 inf + 15922 420.969 * * [simplify]: Extracting #6: cost 51 inf + 43371 420.990 * * [simplify]: Extracting #7: cost 3 inf + 70738 421.018 * * [simplify]: Extracting #8: cost 0 inf + 72646 421.040 * [simplify]: Simplified to (/ (/ (* (+ (* a2 a2) (* a1 a1)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt 2)))) (cbrt (sqrt 2))) 421.040 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (fabs (cbrt 2)))) (/ (/ (* (+ (* a2 a2) (* a1 a1)) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt 2)))) (cbrt (sqrt 2))))) 421.040 * * * * [progress]: [ 739 / 2703 ] simplifiying candidate # 421.041 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 421.041 * * [simplify]: iters left: 6 (20 enodes) 421.047 * * [simplify]: iters left: 5 (69 enodes) 421.059 * * [simplify]: iters left: 4 (107 enodes) 421.079 * * [simplify]: iters left: 3 (182 enodes) 421.173 * * [simplify]: iters left: 2 (420 enodes) 421.397 * * [simplify]: Extracting #0: cost 1 inf + 0 421.398 * * [simplify]: Extracting #1: cost 37 inf + 0 421.398 * * [simplify]: Extracting #2: cost 82 inf + 1 421.398 * * [simplify]: Extracting #3: cost 88 inf + 1 421.399 * * [simplify]: Extracting #4: cost 91 inf + 63 421.399 * * [simplify]: Extracting #5: cost 87 inf + 912 421.403 * * [simplify]: Extracting #6: cost 56 inf + 7931 421.409 * * [simplify]: Extracting #7: cost 10 inf + 32080 421.427 * * [simplify]: Extracting #8: cost 0 inf + 36912 421.445 * * [simplify]: Extracting #9: cost 0 inf + 36872 421.462 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) 421.463 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 421.463 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 421.464 * * [simplify]: iters left: 6 (20 enodes) 421.474 * * [simplify]: iters left: 5 (69 enodes) 421.495 * * [simplify]: iters left: 4 (102 enodes) 421.530 * * [simplify]: iters left: 3 (215 enodes) 421.631 * * [simplify]: iters left: 2 (496 enodes) 421.994 * * [simplify]: Extracting #0: cost 1 inf + 0 421.995 * * [simplify]: Extracting #1: cost 109 inf + 0 421.997 * * [simplify]: Extracting #2: cost 210 inf + 0 421.998 * * [simplify]: Extracting #3: cost 222 inf + 0 422.000 * * [simplify]: Extracting #4: cost 214 inf + 1253 422.007 * * [simplify]: Extracting #5: cost 154 inf + 24500 422.041 * * [simplify]: Extracting #6: cost 25 inf + 95694 422.071 * * [simplify]: Extracting #7: cost 0 inf + 110364 422.102 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 422.102 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))))) 422.102 * * * * [progress]: [ 740 / 2703 ] simplifiying candidate # 422.102 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 422.103 * * [simplify]: iters left: 6 (20 enodes) 422.108 * * [simplify]: iters left: 5 (68 enodes) 422.120 * * [simplify]: iters left: 4 (98 enodes) 422.153 * * [simplify]: iters left: 3 (146 enodes) 422.197 * * [simplify]: iters left: 2 (268 enodes) 422.292 * * [simplify]: iters left: 1 (335 enodes) 422.372 * * [simplify]: Extracting #0: cost 1 inf + 0 422.372 * * [simplify]: Extracting #1: cost 21 inf + 0 422.372 * * [simplify]: Extracting #2: cost 42 inf + 1 422.372 * * [simplify]: Extracting #3: cost 49 inf + 1 422.373 * * [simplify]: Extracting #4: cost 52 inf + 63 422.373 * * [simplify]: Extracting #5: cost 42 inf + 2021 422.374 * * [simplify]: Extracting #6: cost 21 inf + 6240 422.376 * * [simplify]: Extracting #7: cost 3 inf + 14173 422.380 * * [simplify]: Extracting #8: cost 0 inf + 15683 422.384 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 422.384 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 422.384 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 422.384 * * [simplify]: iters left: 6 (21 enodes) 422.389 * * [simplify]: iters left: 5 (72 enodes) 422.410 * * [simplify]: iters left: 4 (105 enodes) 422.443 * * [simplify]: iters left: 3 (218 enodes) 422.522 * * [simplify]: iters left: 2 (495 enodes) 422.860 * * [simplify]: Extracting #0: cost 1 inf + 0 422.861 * * [simplify]: Extracting #1: cost 113 inf + 0 422.862 * * [simplify]: Extracting #2: cost 222 inf + 0 422.863 * * [simplify]: Extracting #3: cost 235 inf + 0 422.864 * * [simplify]: Extracting #4: cost 223 inf + 2360 422.867 * * [simplify]: Extracting #5: cost 183 inf + 15407 422.893 * * [simplify]: Extracting #6: cost 48 inf + 90844 422.924 * * [simplify]: Extracting #7: cost 1 inf + 119828 422.954 * * [simplify]: Extracting #8: cost 0 inf + 120652 423.002 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 423.002 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 423.002 * * * * [progress]: [ 741 / 2703 ] simplifiying candidate # 423.002 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 423.002 * * [simplify]: iters left: 6 (19 enodes) 423.008 * * [simplify]: iters left: 5 (64 enodes) 423.021 * * [simplify]: iters left: 4 (94 enodes) 423.037 * * [simplify]: iters left: 3 (142 enodes) 423.080 * * [simplify]: iters left: 2 (255 enodes) 423.164 * * [simplify]: iters left: 1 (320 enodes) 423.256 * * [simplify]: Extracting #0: cost 1 inf + 0 423.256 * * [simplify]: Extracting #1: cost 21 inf + 0 423.256 * * [simplify]: Extracting #2: cost 41 inf + 1 423.256 * * [simplify]: Extracting #3: cost 47 inf + 1 423.257 * * [simplify]: Extracting #4: cost 50 inf + 63 423.257 * * [simplify]: Extracting #5: cost 40 inf + 1801 423.258 * * [simplify]: Extracting #6: cost 23 inf + 5330 423.260 * * [simplify]: Extracting #7: cost 4 inf + 12506 423.265 * * [simplify]: Extracting #8: cost 0 inf + 14319 423.271 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 423.271 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 423.272 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 423.272 * * [simplify]: iters left: 6 (20 enodes) 423.283 * * [simplify]: iters left: 5 (69 enodes) 423.294 * * [simplify]: iters left: 4 (102 enodes) 423.312 * * [simplify]: iters left: 3 (215 enodes) 423.400 * * [simplify]: iters left: 2 (496 enodes) 423.708 * * [simplify]: Extracting #0: cost 1 inf + 0 423.708 * * [simplify]: Extracting #1: cost 109 inf + 0 423.710 * * [simplify]: Extracting #2: cost 210 inf + 0 423.712 * * [simplify]: Extracting #3: cost 222 inf + 0 423.715 * * [simplify]: Extracting #4: cost 214 inf + 1253 423.721 * * [simplify]: Extracting #5: cost 154 inf + 24180 423.755 * * [simplify]: Extracting #6: cost 25 inf + 91854 423.799 * * [simplify]: Extracting #7: cost 0 inf + 105564 423.844 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 423.844 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))))) 423.844 * * * * [progress]: [ 742 / 2703 ] simplifiying candidate # 423.845 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 423.845 * * [simplify]: iters left: 6 (13 enodes) 423.856 * * [simplify]: iters left: 5 (45 enodes) 423.872 * * [simplify]: iters left: 4 (63 enodes) 423.893 * * [simplify]: iters left: 3 (91 enodes) 423.925 * * [simplify]: iters left: 2 (127 enodes) 423.966 * * [simplify]: iters left: 1 (152 enodes) 424.004 * * [simplify]: Extracting #0: cost 1 inf + 0 424.005 * * [simplify]: Extracting #1: cost 12 inf + 0 424.005 * * [simplify]: Extracting #2: cost 22 inf + 1 424.005 * * [simplify]: Extracting #3: cost 26 inf + 1 424.005 * * [simplify]: Extracting #4: cost 26 inf + 63 424.006 * * [simplify]: Extracting #5: cost 16 inf + 1296 424.007 * * [simplify]: Extracting #6: cost 7 inf + 3290 424.009 * * [simplify]: Extracting #7: cost 0 inf + 5443 424.012 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 424.012 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 424.012 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 424.013 * * [simplify]: iters left: 6 (19 enodes) 424.022 * * [simplify]: iters left: 5 (66 enodes) 424.042 * * [simplify]: iters left: 4 (98 enodes) 424.076 * * [simplify]: iters left: 3 (190 enodes) 424.134 * * [simplify]: iters left: 2 (382 enodes) 424.334 * * [simplify]: Extracting #0: cost 1 inf + 0 424.334 * * [simplify]: Extracting #1: cost 78 inf + 0 424.334 * * [simplify]: Extracting #2: cost 151 inf + 0 424.335 * * [simplify]: Extracting #3: cost 165 inf + 0 424.336 * * [simplify]: Extracting #4: cost 154 inf + 691 424.339 * * [simplify]: Extracting #5: cost 86 inf + 24468 424.351 * * [simplify]: Extracting #6: cost 10 inf + 61490 424.380 * * [simplify]: Extracting #7: cost 0 inf + 66684 424.408 * [simplify]: Simplified to (/ (/ (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 424.408 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 424.409 * * * * [progress]: [ 743 / 2703 ] simplifiying candidate # 424.409 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 424.409 * * [simplify]: iters left: 6 (19 enodes) 424.417 * * [simplify]: iters left: 5 (64 enodes) 424.428 * * [simplify]: iters left: 4 (94 enodes) 424.445 * * [simplify]: iters left: 3 (142 enodes) 424.502 * * [simplify]: iters left: 2 (255 enodes) 424.627 * * [simplify]: iters left: 1 (320 enodes) 424.750 * * [simplify]: Extracting #0: cost 1 inf + 0 424.751 * * [simplify]: Extracting #1: cost 21 inf + 0 424.751 * * [simplify]: Extracting #2: cost 41 inf + 1 424.751 * * [simplify]: Extracting #3: cost 47 inf + 1 424.752 * * [simplify]: Extracting #4: cost 50 inf + 63 424.752 * * [simplify]: Extracting #5: cost 40 inf + 1801 424.754 * * [simplify]: Extracting #6: cost 23 inf + 5330 424.759 * * [simplify]: Extracting #7: cost 4 inf + 12506 424.765 * * [simplify]: Extracting #8: cost 0 inf + 14319 424.772 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 424.772 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 424.773 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 424.773 * * [simplify]: iters left: 6 (20 enodes) 424.782 * * [simplify]: iters left: 5 (69 enodes) 424.803 * * [simplify]: iters left: 4 (102 enodes) 424.839 * * [simplify]: iters left: 3 (215 enodes) 424.923 * * [simplify]: iters left: 2 (496 enodes) 425.203 * * [simplify]: Extracting #0: cost 1 inf + 0 425.204 * * [simplify]: Extracting #1: cost 109 inf + 0 425.204 * * [simplify]: Extracting #2: cost 210 inf + 0 425.205 * * [simplify]: Extracting #3: cost 222 inf + 0 425.207 * * [simplify]: Extracting #4: cost 214 inf + 1253 425.210 * * [simplify]: Extracting #5: cost 154 inf + 24180 425.240 * * [simplify]: Extracting #6: cost 25 inf + 91854 425.288 * * [simplify]: Extracting #7: cost 0 inf + 105564 425.333 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 425.333 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))))) 425.333 * * * * [progress]: [ 744 / 2703 ] simplifiying candidate # 425.334 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) 1)) 425.334 * * [simplify]: iters left: 6 (12 enodes) 425.341 * * [simplify]: iters left: 5 (40 enodes) 425.356 * * [simplify]: iters left: 4 (60 enodes) 425.378 * * [simplify]: iters left: 3 (91 enodes) 425.417 * * [simplify]: iters left: 2 (141 enodes) 425.472 * * [simplify]: iters left: 1 (175 enodes) 425.524 * * [simplify]: Extracting #0: cost 1 inf + 0 425.524 * * [simplify]: Extracting #1: cost 12 inf + 0 425.524 * * [simplify]: Extracting #2: cost 22 inf + 1 425.525 * * [simplify]: Extracting #3: cost 26 inf + 1 425.525 * * [simplify]: Extracting #4: cost 25 inf + 124 425.525 * * [simplify]: Extracting #5: cost 16 inf + 1115 425.527 * * [simplify]: Extracting #6: cost 6 inf + 3311 425.529 * * [simplify]: Extracting #7: cost 0 inf + 5443 425.531 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) 425.531 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 425.532 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 425.532 * * [simplify]: iters left: 6 (19 enodes) 425.541 * * [simplify]: iters left: 5 (66 enodes) 425.554 * * [simplify]: iters left: 4 (98 enodes) 425.571 * * [simplify]: iters left: 3 (190 enodes) 425.653 * * [simplify]: iters left: 2 (382 enodes) 425.818 * * [simplify]: Extracting #0: cost 1 inf + 0 425.818 * * [simplify]: Extracting #1: cost 78 inf + 0 425.819 * * [simplify]: Extracting #2: cost 151 inf + 0 425.820 * * [simplify]: Extracting #3: cost 165 inf + 0 425.820 * * [simplify]: Extracting #4: cost 154 inf + 691 425.824 * * [simplify]: Extracting #5: cost 86 inf + 24468 425.841 * * [simplify]: Extracting #6: cost 10 inf + 61490 425.867 * * [simplify]: Extracting #7: cost 0 inf + 66684 425.897 * [simplify]: Simplified to (/ (/ (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 425.897 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (/ (/ (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 425.897 * * * * [progress]: [ 745 / 2703 ] simplifiying candidate # 425.898 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 425.898 * * [simplify]: iters left: 6 (18 enodes) 425.911 * * [simplify]: iters left: 5 (63 enodes) 425.930 * * [simplify]: iters left: 4 (98 enodes) 425.965 * * [simplify]: iters left: 3 (169 enodes) 426.009 * * [simplify]: iters left: 2 (275 enodes) 426.122 * * [simplify]: iters left: 1 (346 enodes) 426.224 * * [simplify]: Extracting #0: cost 1 inf + 0 426.225 * * [simplify]: Extracting #1: cost 17 inf + 0 426.225 * * [simplify]: Extracting #2: cost 32 inf + 1 426.225 * * [simplify]: Extracting #3: cost 36 inf + 1 426.226 * * [simplify]: Extracting #4: cost 37 inf + 63 426.226 * * [simplify]: Extracting #5: cost 34 inf + 1173 426.227 * * [simplify]: Extracting #6: cost 28 inf + 1660 426.228 * * [simplify]: Extracting #7: cost 26 inf + 1742 426.229 * * [simplify]: Extracting #8: cost 23 inf + 2148 426.231 * * [simplify]: Extracting #9: cost 11 inf + 6321 426.237 * * [simplify]: Extracting #10: cost 1 inf + 10674 426.242 * * [simplify]: Extracting #11: cost 0 inf + 11138 426.248 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 426.248 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 426.249 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 426.249 * * [simplify]: iters left: 6 (18 enodes) 426.258 * * [simplify]: iters left: 5 (63 enodes) 426.278 * * [simplify]: iters left: 4 (95 enodes) 426.312 * * [simplify]: iters left: 3 (199 enodes) 426.385 * * [simplify]: iters left: 2 (405 enodes) 426.550 * * [simplify]: Extracting #0: cost 1 inf + 0 426.550 * * [simplify]: Extracting #1: cost 61 inf + 0 426.551 * * [simplify]: Extracting #2: cost 119 inf + 0 426.552 * * [simplify]: Extracting #3: cost 126 inf + 2 426.553 * * [simplify]: Extracting #4: cost 118 inf + 1658 426.555 * * [simplify]: Extracting #5: cost 103 inf + 4852 426.557 * * [simplify]: Extracting #6: cost 99 inf + 5317 426.567 * * [simplify]: Extracting #7: cost 56 inf + 23656 426.587 * * [simplify]: Extracting #8: cost 5 inf + 48455 426.609 * * [simplify]: Extracting #9: cost 0 inf + 51093 426.632 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))) 426.632 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))))) 426.632 * * * * [progress]: [ 746 / 2703 ] simplifiying candidate # 426.633 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 426.633 * * [simplify]: iters left: 6 (18 enodes) 426.643 * * [simplify]: iters left: 5 (62 enodes) 426.662 * * [simplify]: iters left: 4 (86 enodes) 426.675 * * [simplify]: iters left: 3 (106 enodes) 426.692 * * [simplify]: iters left: 2 (134 enodes) 426.728 * * [simplify]: iters left: 1 (144 enodes) 426.745 * * [simplify]: Extracting #0: cost 1 inf + 0 426.745 * * [simplify]: Extracting #1: cost 11 inf + 0 426.746 * * [simplify]: Extracting #2: cost 21 inf + 1 426.746 * * [simplify]: Extracting #3: cost 26 inf + 1 426.746 * * [simplify]: Extracting #4: cost 27 inf + 63 426.746 * * [simplify]: Extracting #5: cost 25 inf + 950 426.746 * * [simplify]: Extracting #6: cost 17 inf + 1701 426.747 * * [simplify]: Extracting #7: cost 13 inf + 2188 426.747 * * [simplify]: Extracting #8: cost 5 inf + 4568 426.748 * * [simplify]: Extracting #9: cost 0 inf + 6624 426.750 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) 426.750 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 426.750 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 426.750 * * [simplify]: iters left: 6 (19 enodes) 426.755 * * [simplify]: iters left: 5 (66 enodes) 426.772 * * [simplify]: iters left: 4 (98 enodes) 426.805 * * [simplify]: iters left: 3 (202 enodes) 426.850 * * [simplify]: iters left: 2 (401 enodes) 427.004 * * [simplify]: Extracting #0: cost 1 inf + 0 427.005 * * [simplify]: Extracting #1: cost 58 inf + 0 427.006 * * [simplify]: Extracting #2: cost 117 inf + 0 427.007 * * [simplify]: Extracting #3: cost 125 inf + 2 427.008 * * [simplify]: Extracting #4: cost 121 inf + 590 427.009 * * [simplify]: Extracting #5: cost 102 inf + 4109 427.018 * * [simplify]: Extracting #6: cost 63 inf + 19468 427.031 * * [simplify]: Extracting #7: cost 10 inf + 46073 427.043 * * [simplify]: Extracting #8: cost 0 inf + 50986 427.057 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (cos th)) (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 427.057 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (cos th)) (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 427.057 * * * * [progress]: [ 747 / 2703 ] simplifiying candidate # 427.058 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 427.058 * * [simplify]: iters left: 6 (17 enodes) 427.068 * * [simplify]: iters left: 5 (58 enodes) 427.086 * * [simplify]: iters left: 4 (82 enodes) 427.111 * * [simplify]: iters left: 3 (104 enodes) 427.142 * * [simplify]: iters left: 2 (132 enodes) 427.174 * * [simplify]: iters left: 1 (142 enodes) 427.191 * * [simplify]: Extracting #0: cost 1 inf + 0 427.191 * * [simplify]: Extracting #1: cost 11 inf + 0 427.191 * * [simplify]: Extracting #2: cost 20 inf + 1 427.192 * * [simplify]: Extracting #3: cost 24 inf + 1 427.192 * * [simplify]: Extracting #4: cost 25 inf + 63 427.192 * * [simplify]: Extracting #5: cost 20 inf + 1576 427.192 * * [simplify]: Extracting #6: cost 14 inf + 1742 427.193 * * [simplify]: Extracting #7: cost 11 inf + 2148 427.193 * * [simplify]: Extracting #8: cost 3 inf + 4610 427.194 * * [simplify]: Extracting #9: cost 0 inf + 5660 427.196 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) 427.196 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 427.196 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 427.196 * * [simplify]: iters left: 6 (18 enodes) 427.200 * * [simplify]: iters left: 5 (63 enodes) 427.211 * * [simplify]: iters left: 4 (95 enodes) 427.248 * * [simplify]: iters left: 3 (199 enodes) 427.320 * * [simplify]: iters left: 2 (405 enodes) 427.474 * * [simplify]: Extracting #0: cost 1 inf + 0 427.475 * * [simplify]: Extracting #1: cost 61 inf + 0 427.475 * * [simplify]: Extracting #2: cost 119 inf + 0 427.476 * * [simplify]: Extracting #3: cost 126 inf + 2 427.478 * * [simplify]: Extracting #4: cost 118 inf + 1658 427.482 * * [simplify]: Extracting #5: cost 103 inf + 4852 427.484 * * [simplify]: Extracting #6: cost 99 inf + 5317 427.491 * * [simplify]: Extracting #7: cost 56 inf + 22656 427.511 * * [simplify]: Extracting #8: cost 5 inf + 46055 427.534 * * [simplify]: Extracting #9: cost 0 inf + 48493 427.553 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))) 427.553 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))))) 427.553 * * * * [progress]: [ 748 / 2703 ] simplifiying candidate # 427.554 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt 1)) (sqrt 1))) 427.554 * * [simplify]: iters left: 6 (10 enodes) 427.560 * * [simplify]: iters left: 5 (36 enodes) 427.565 * * [simplify]: iters left: 4 (48 enodes) 427.572 * * [simplify]: iters left: 3 (56 enodes) 427.582 * * [simplify]: iters left: 2 (66 enodes) 427.599 * * [simplify]: Extracting #0: cost 1 inf + 0 427.599 * * [simplify]: Extracting #1: cost 6 inf + 0 427.599 * * [simplify]: Extracting #2: cost 9 inf + 1 427.599 * * [simplify]: Extracting #3: cost 11 inf + 1 427.599 * * [simplify]: Extracting #4: cost 10 inf + 2 427.600 * * [simplify]: Extracting #5: cost 2 inf + 1132 427.600 * * [simplify]: Extracting #6: cost 1 inf + 1354 427.601 * * [simplify]: Extracting #7: cost 0 inf + 1576 427.601 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 427.601 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 427.602 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 427.602 * * [simplify]: iters left: 6 (17 enodes) 427.613 * * [simplify]: iters left: 5 (60 enodes) 427.623 * * [simplify]: iters left: 4 (90 enodes) 427.640 * * [simplify]: iters left: 3 (164 enodes) 427.681 * * [simplify]: iters left: 2 (283 enodes) 427.780 * * [simplify]: iters left: 1 (420 enodes) 427.930 * * [simplify]: Extracting #0: cost 1 inf + 0 427.930 * * [simplify]: Extracting #1: cost 46 inf + 0 427.931 * * [simplify]: Extracting #2: cost 106 inf + 0 427.932 * * [simplify]: Extracting #3: cost 114 inf + 369 427.937 * * [simplify]: Extracting #4: cost 50 inf + 17681 427.953 * * [simplify]: Extracting #5: cost 1 inf + 35801 427.968 * * [simplify]: Extracting #6: cost 0 inf + 36345 427.985 * [simplify]: Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))) 427.985 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))))) 427.985 * * * * [progress]: [ 749 / 2703 ] simplifiying candidate # 427.985 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 427.985 * * [simplify]: iters left: 6 (17 enodes) 427.996 * * [simplify]: iters left: 5 (58 enodes) 428.009 * * [simplify]: iters left: 4 (82 enodes) 428.022 * * [simplify]: iters left: 3 (104 enodes) 428.040 * * [simplify]: iters left: 2 (132 enodes) 428.080 * * [simplify]: iters left: 1 (142 enodes) 428.103 * * [simplify]: Extracting #0: cost 1 inf + 0 428.103 * * [simplify]: Extracting #1: cost 11 inf + 0 428.103 * * [simplify]: Extracting #2: cost 20 inf + 1 428.103 * * [simplify]: Extracting #3: cost 24 inf + 1 428.103 * * [simplify]: Extracting #4: cost 25 inf + 63 428.103 * * [simplify]: Extracting #5: cost 20 inf + 1576 428.104 * * [simplify]: Extracting #6: cost 14 inf + 1742 428.104 * * [simplify]: Extracting #7: cost 11 inf + 2148 428.105 * * [simplify]: Extracting #8: cost 3 inf + 4610 428.106 * * [simplify]: Extracting #9: cost 0 inf + 5660 428.107 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) 428.107 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 428.107 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 428.108 * * [simplify]: iters left: 6 (18 enodes) 428.114 * * [simplify]: iters left: 5 (63 enodes) 428.135 * * [simplify]: iters left: 4 (95 enodes) 428.165 * * [simplify]: iters left: 3 (199 enodes) 428.217 * * [simplify]: iters left: 2 (405 enodes) 428.378 * * [simplify]: Extracting #0: cost 1 inf + 0 428.378 * * [simplify]: Extracting #1: cost 61 inf + 0 428.379 * * [simplify]: Extracting #2: cost 119 inf + 0 428.379 * * [simplify]: Extracting #3: cost 126 inf + 2 428.380 * * [simplify]: Extracting #4: cost 118 inf + 1658 428.381 * * [simplify]: Extracting #5: cost 103 inf + 4852 428.382 * * [simplify]: Extracting #6: cost 99 inf + 5317 428.390 * * [simplify]: Extracting #7: cost 56 inf + 22656 428.409 * * [simplify]: Extracting #8: cost 5 inf + 46055 428.423 * * [simplify]: Extracting #9: cost 0 inf + 48493 428.435 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))) 428.435 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))))) 428.435 * * * * [progress]: [ 750 / 2703 ] simplifiying candidate # 428.436 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt 1)) 1)) 428.436 * * [simplify]: iters left: 6 (10 enodes) 428.442 * * [simplify]: iters left: 5 (34 enodes) 428.447 * * [simplify]: iters left: 4 (42 enodes) 428.457 * * [simplify]: iters left: 3 (47 enodes) 428.471 * * [simplify]: iters left: 2 (56 enodes) 428.486 * * [simplify]: iters left: 1 (64 enodes) 428.495 * * [simplify]: Extracting #0: cost 1 inf + 0 428.495 * * [simplify]: Extracting #1: cost 6 inf + 0 428.495 * * [simplify]: Extracting #2: cost 9 inf + 1 428.495 * * [simplify]: Extracting #3: cost 11 inf + 1 428.496 * * [simplify]: Extracting #4: cost 10 inf + 2 428.496 * * [simplify]: Extracting #5: cost 3 inf + 950 428.496 * * [simplify]: Extracting #6: cost 0 inf + 1576 428.496 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 428.497 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 428.497 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 428.497 * * [simplify]: iters left: 6 (17 enodes) 428.501 * * [simplify]: iters left: 5 (60 enodes) 428.515 * * [simplify]: iters left: 4 (90 enodes) 428.534 * * [simplify]: iters left: 3 (164 enodes) 428.572 * * [simplify]: iters left: 2 (283 enodes) 428.658 * * [simplify]: iters left: 1 (420 enodes) 428.817 * * [simplify]: Extracting #0: cost 1 inf + 0 428.817 * * [simplify]: Extracting #1: cost 46 inf + 0 428.818 * * [simplify]: Extracting #2: cost 106 inf + 0 428.819 * * [simplify]: Extracting #3: cost 114 inf + 369 428.824 * * [simplify]: Extracting #4: cost 50 inf + 17681 428.840 * * [simplify]: Extracting #5: cost 1 inf + 35801 428.856 * * [simplify]: Extracting #6: cost 0 inf + 36345 428.872 * [simplify]: Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))) 428.872 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))))) 428.873 * * * * [progress]: [ 751 / 2703 ] simplifiying candidate # 428.873 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 428.873 * * [simplify]: iters left: 6 (20 enodes) 428.883 * * [simplify]: iters left: 5 (69 enodes) 428.903 * * [simplify]: iters left: 4 (107 enodes) 428.925 * * [simplify]: iters left: 3 (182 enodes) 429.019 * * [simplify]: iters left: 2 (420 enodes) 429.318 * * [simplify]: Extracting #0: cost 1 inf + 0 429.318 * * [simplify]: Extracting #1: cost 37 inf + 0 429.319 * * [simplify]: Extracting #2: cost 82 inf + 1 429.320 * * [simplify]: Extracting #3: cost 88 inf + 1 429.322 * * [simplify]: Extracting #4: cost 91 inf + 63 429.323 * * [simplify]: Extracting #5: cost 87 inf + 912 429.325 * * [simplify]: Extracting #6: cost 56 inf + 7931 429.334 * * [simplify]: Extracting #7: cost 10 inf + 32080 429.343 * * [simplify]: Extracting #8: cost 0 inf + 36912 429.352 * * [simplify]: Extracting #9: cost 0 inf + 36872 429.362 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) 429.362 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 429.363 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 429.363 * * [simplify]: iters left: 6 (20 enodes) 429.368 * * [simplify]: iters left: 5 (69 enodes) 429.382 * * [simplify]: iters left: 4 (102 enodes) 429.412 * * [simplify]: iters left: 3 (215 enodes) 429.465 * * [simplify]: iters left: 2 (496 enodes) 429.693 * * [simplify]: Extracting #0: cost 1 inf + 0 429.693 * * [simplify]: Extracting #1: cost 109 inf + 0 429.694 * * [simplify]: Extracting #2: cost 210 inf + 0 429.696 * * [simplify]: Extracting #3: cost 222 inf + 0 429.698 * * [simplify]: Extracting #4: cost 214 inf + 1253 429.708 * * [simplify]: Extracting #5: cost 154 inf + 24500 429.742 * * [simplify]: Extracting #6: cost 25 inf + 95694 429.784 * * [simplify]: Extracting #7: cost 0 inf + 110364 429.822 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 429.822 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))))) 429.822 * * * * [progress]: [ 752 / 2703 ] simplifiying candidate # 429.822 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 429.823 * * [simplify]: iters left: 6 (20 enodes) 429.832 * * [simplify]: iters left: 5 (68 enodes) 429.851 * * [simplify]: iters left: 4 (98 enodes) 429.882 * * [simplify]: iters left: 3 (146 enodes) 429.913 * * [simplify]: iters left: 2 (268 enodes) 430.023 * * [simplify]: iters left: 1 (335 enodes) 430.121 * * [simplify]: Extracting #0: cost 1 inf + 0 430.121 * * [simplify]: Extracting #1: cost 21 inf + 0 430.121 * * [simplify]: Extracting #2: cost 42 inf + 1 430.121 * * [simplify]: Extracting #3: cost 49 inf + 1 430.122 * * [simplify]: Extracting #4: cost 52 inf + 63 430.123 * * [simplify]: Extracting #5: cost 42 inf + 2021 430.125 * * [simplify]: Extracting #6: cost 21 inf + 6240 430.129 * * [simplify]: Extracting #7: cost 3 inf + 14173 430.136 * * [simplify]: Extracting #8: cost 0 inf + 15683 430.142 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 430.142 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 430.143 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 430.143 * * [simplify]: iters left: 6 (21 enodes) 430.155 * * [simplify]: iters left: 5 (72 enodes) 430.177 * * [simplify]: iters left: 4 (105 enodes) 430.196 * * [simplify]: iters left: 3 (218 enodes) 430.284 * * [simplify]: iters left: 2 (495 enodes) 430.584 * * [simplify]: Extracting #0: cost 1 inf + 0 430.585 * * [simplify]: Extracting #1: cost 113 inf + 0 430.586 * * [simplify]: Extracting #2: cost 222 inf + 0 430.588 * * [simplify]: Extracting #3: cost 235 inf + 0 430.591 * * [simplify]: Extracting #4: cost 223 inf + 2360 430.596 * * [simplify]: Extracting #5: cost 183 inf + 15407 430.621 * * [simplify]: Extracting #6: cost 48 inf + 90844 430.646 * * [simplify]: Extracting #7: cost 1 inf + 119828 430.691 * * [simplify]: Extracting #8: cost 0 inf + 120652 430.732 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) 430.732 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 430.732 * * * * [progress]: [ 753 / 2703 ] simplifiying candidate # 430.732 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 430.732 * * [simplify]: iters left: 6 (19 enodes) 430.738 * * [simplify]: iters left: 5 (64 enodes) 430.749 * * [simplify]: iters left: 4 (94 enodes) 430.772 * * [simplify]: iters left: 3 (142 enodes) 430.830 * * [simplify]: iters left: 2 (255 enodes) 430.923 * * [simplify]: iters left: 1 (320 enodes) 431.001 * * [simplify]: Extracting #0: cost 1 inf + 0 431.001 * * [simplify]: Extracting #1: cost 21 inf + 0 431.001 * * [simplify]: Extracting #2: cost 41 inf + 1 431.002 * * [simplify]: Extracting #3: cost 47 inf + 1 431.002 * * [simplify]: Extracting #4: cost 50 inf + 63 431.002 * * [simplify]: Extracting #5: cost 40 inf + 1801 431.003 * * [simplify]: Extracting #6: cost 23 inf + 5330 431.005 * * [simplify]: Extracting #7: cost 4 inf + 12506 431.008 * * [simplify]: Extracting #8: cost 0 inf + 14319 431.012 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 431.012 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 431.012 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 431.012 * * [simplify]: iters left: 6 (20 enodes) 431.020 * * [simplify]: iters left: 5 (69 enodes) 431.042 * * [simplify]: iters left: 4 (102 enodes) 431.078 * * [simplify]: iters left: 3 (215 enodes) 431.158 * * [simplify]: iters left: 2 (496 enodes) 431.459 * * [simplify]: Extracting #0: cost 1 inf + 0 431.459 * * [simplify]: Extracting #1: cost 109 inf + 0 431.461 * * [simplify]: Extracting #2: cost 210 inf + 0 431.463 * * [simplify]: Extracting #3: cost 222 inf + 0 431.465 * * [simplify]: Extracting #4: cost 214 inf + 1253 431.472 * * [simplify]: Extracting #5: cost 154 inf + 24180 431.506 * * [simplify]: Extracting #6: cost 25 inf + 91854 431.550 * * [simplify]: Extracting #7: cost 0 inf + 105564 431.573 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 431.573 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))))) 431.574 * * * * [progress]: [ 754 / 2703 ] simplifiying candidate # 431.574 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 431.574 * * [simplify]: iters left: 6 (13 enodes) 431.579 * * [simplify]: iters left: 5 (45 enodes) 431.595 * * [simplify]: iters left: 4 (63 enodes) 431.616 * * [simplify]: iters left: 3 (91 enodes) 431.650 * * [simplify]: iters left: 2 (127 enodes) 431.678 * * [simplify]: iters left: 1 (152 enodes) 431.710 * * [simplify]: Extracting #0: cost 1 inf + 0 431.710 * * [simplify]: Extracting #1: cost 12 inf + 0 431.710 * * [simplify]: Extracting #2: cost 22 inf + 1 431.710 * * [simplify]: Extracting #3: cost 26 inf + 1 431.710 * * [simplify]: Extracting #4: cost 26 inf + 63 431.711 * * [simplify]: Extracting #5: cost 16 inf + 1296 431.711 * * [simplify]: Extracting #6: cost 7 inf + 3290 431.712 * * [simplify]: Extracting #7: cost 0 inf + 5443 431.713 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 431.714 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 431.714 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 431.714 * * [simplify]: iters left: 6 (19 enodes) 431.718 * * [simplify]: iters left: 5 (66 enodes) 431.736 * * [simplify]: iters left: 4 (98 enodes) 431.757 * * [simplify]: iters left: 3 (190 enodes) 431.798 * * [simplify]: iters left: 2 (382 enodes) 431.940 * * [simplify]: Extracting #0: cost 1 inf + 0 431.940 * * [simplify]: Extracting #1: cost 78 inf + 0 431.941 * * [simplify]: Extracting #2: cost 151 inf + 0 431.941 * * [simplify]: Extracting #3: cost 165 inf + 0 431.942 * * [simplify]: Extracting #4: cost 154 inf + 691 431.945 * * [simplify]: Extracting #5: cost 86 inf + 24468 431.968 * * [simplify]: Extracting #6: cost 10 inf + 61490 431.985 * * [simplify]: Extracting #7: cost 0 inf + 66684 431.998 * [simplify]: Simplified to (/ (/ (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 431.999 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 431.999 * * * * [progress]: [ 755 / 2703 ] simplifiying candidate # 431.999 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 431.999 * * [simplify]: iters left: 6 (19 enodes) 432.004 * * [simplify]: iters left: 5 (64 enodes) 432.019 * * [simplify]: iters left: 4 (94 enodes) 432.054 * * [simplify]: iters left: 3 (142 enodes) 432.098 * * [simplify]: iters left: 2 (255 enodes) 432.169 * * [simplify]: iters left: 1 (320 enodes) 432.270 * * [simplify]: Extracting #0: cost 1 inf + 0 432.270 * * [simplify]: Extracting #1: cost 21 inf + 0 432.270 * * [simplify]: Extracting #2: cost 41 inf + 1 432.270 * * [simplify]: Extracting #3: cost 47 inf + 1 432.270 * * [simplify]: Extracting #4: cost 50 inf + 63 432.271 * * [simplify]: Extracting #5: cost 40 inf + 1801 432.271 * * [simplify]: Extracting #6: cost 23 inf + 5330 432.274 * * [simplify]: Extracting #7: cost 4 inf + 12506 432.277 * * [simplify]: Extracting #8: cost 0 inf + 14319 432.281 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 432.281 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 432.281 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 432.281 * * [simplify]: iters left: 6 (20 enodes) 432.286 * * [simplify]: iters left: 5 (69 enodes) 432.299 * * [simplify]: iters left: 4 (102 enodes) 432.320 * * [simplify]: iters left: 3 (215 enodes) 432.390 * * [simplify]: iters left: 2 (496 enodes) 432.687 * * [simplify]: Extracting #0: cost 1 inf + 0 432.687 * * [simplify]: Extracting #1: cost 109 inf + 0 432.688 * * [simplify]: Extracting #2: cost 210 inf + 0 432.689 * * [simplify]: Extracting #3: cost 222 inf + 0 432.690 * * [simplify]: Extracting #4: cost 214 inf + 1253 432.694 * * [simplify]: Extracting #5: cost 154 inf + 24180 432.713 * * [simplify]: Extracting #6: cost 25 inf + 91854 432.750 * * [simplify]: Extracting #7: cost 0 inf + 105564 432.773 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) 432.773 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))))) 432.773 * * * * [progress]: [ 756 / 2703 ] simplifiying candidate # 432.773 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt (sqrt 2))) 1)) 432.774 * * [simplify]: iters left: 6 (12 enodes) 432.777 * * [simplify]: iters left: 5 (40 enodes) 432.786 * * [simplify]: iters left: 4 (60 enodes) 432.811 * * [simplify]: iters left: 3 (91 enodes) 432.830 * * [simplify]: iters left: 2 (141 enodes) 432.886 * * [simplify]: iters left: 1 (175 enodes) 432.928 * * [simplify]: Extracting #0: cost 1 inf + 0 432.928 * * [simplify]: Extracting #1: cost 12 inf + 0 432.928 * * [simplify]: Extracting #2: cost 22 inf + 1 432.929 * * [simplify]: Extracting #3: cost 26 inf + 1 432.929 * * [simplify]: Extracting #4: cost 25 inf + 124 432.929 * * [simplify]: Extracting #5: cost 16 inf + 1115 432.930 * * [simplify]: Extracting #6: cost 6 inf + 3311 432.932 * * [simplify]: Extracting #7: cost 0 inf + 5443 432.935 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) 432.935 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 432.935 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 432.935 * * [simplify]: iters left: 6 (19 enodes) 432.941 * * [simplify]: iters left: 5 (66 enodes) 432.953 * * [simplify]: iters left: 4 (98 enodes) 432.973 * * [simplify]: iters left: 3 (190 enodes) 433.032 * * [simplify]: iters left: 2 (382 enodes) 433.164 * * [simplify]: Extracting #0: cost 1 inf + 0 433.164 * * [simplify]: Extracting #1: cost 78 inf + 0 433.165 * * [simplify]: Extracting #2: cost 151 inf + 0 433.166 * * [simplify]: Extracting #3: cost 165 inf + 0 433.168 * * [simplify]: Extracting #4: cost 154 inf + 691 433.172 * * [simplify]: Extracting #5: cost 86 inf + 24468 433.185 * * [simplify]: Extracting #6: cost 10 inf + 61490 433.199 * * [simplify]: Extracting #7: cost 0 inf + 66684 433.213 * [simplify]: Simplified to (/ (/ (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 433.213 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (/ (/ (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 433.213 * * * * [progress]: [ 757 / 2703 ] simplifiying candidate # 433.214 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 433.214 * * [simplify]: iters left: 6 (17 enodes) 433.219 * * [simplify]: iters left: 5 (60 enodes) 433.229 * * [simplify]: iters left: 4 (95 enodes) 433.246 * * [simplify]: iters left: 3 (166 enodes) 433.309 * * [simplify]: iters left: 2 (266 enodes) 433.421 * * [simplify]: iters left: 1 (323 enodes) 433.491 * * [simplify]: Extracting #0: cost 1 inf + 0 433.491 * * [simplify]: Extracting #1: cost 17 inf + 0 433.492 * * [simplify]: Extracting #2: cost 32 inf + 1 433.492 * * [simplify]: Extracting #3: cost 36 inf + 1 433.492 * * [simplify]: Extracting #4: cost 36 inf + 124 433.492 * * [simplify]: Extracting #5: cost 36 inf + 769 433.493 * * [simplify]: Extracting #6: cost 28 inf + 1660 433.493 * * [simplify]: Extracting #7: cost 25 inf + 1864 433.493 * * [simplify]: Extracting #8: cost 21 inf + 2552 433.495 * * [simplify]: Extracting #9: cost 5 inf + 8821 433.498 * * [simplify]: Extracting #10: cost 0 inf + 11178 433.501 * * [simplify]: Extracting #11: cost 0 inf + 11138 433.504 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 433.504 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 433.504 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 433.504 * * [simplify]: iters left: 6 (18 enodes) 433.511 * * [simplify]: iters left: 5 (63 enodes) 433.532 * * [simplify]: iters left: 4 (95 enodes) 433.553 * * [simplify]: iters left: 3 (199 enodes) 433.608 * * [simplify]: iters left: 2 (405 enodes) 433.831 * * [simplify]: Extracting #0: cost 1 inf + 0 433.832 * * [simplify]: Extracting #1: cost 61 inf + 0 433.832 * * [simplify]: Extracting #2: cost 119 inf + 0 433.833 * * [simplify]: Extracting #3: cost 126 inf + 2 433.835 * * [simplify]: Extracting #4: cost 118 inf + 1658 433.836 * * [simplify]: Extracting #5: cost 103 inf + 4852 433.839 * * [simplify]: Extracting #6: cost 99 inf + 5317 433.848 * * [simplify]: Extracting #7: cost 56 inf + 23656 433.869 * * [simplify]: Extracting #8: cost 5 inf + 48455 433.892 * * [simplify]: Extracting #9: cost 0 inf + 51093 433.914 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))) 433.914 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))))) 433.915 * * * * [progress]: [ 758 / 2703 ] simplifiying candidate # 433.915 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 433.915 * * [simplify]: iters left: 6 (17 enodes) 433.925 * * [simplify]: iters left: 5 (59 enodes) 433.943 * * [simplify]: iters left: 4 (83 enodes) 433.958 * * [simplify]: iters left: 3 (103 enodes) 433.974 * * [simplify]: iters left: 2 (130 enodes) 434.012 * * [simplify]: iters left: 1 (140 enodes) 434.030 * * [simplify]: Extracting #0: cost 1 inf + 0 434.030 * * [simplify]: Extracting #1: cost 11 inf + 0 434.030 * * [simplify]: Extracting #2: cost 21 inf + 1 434.030 * * [simplify]: Extracting #3: cost 26 inf + 1 434.030 * * [simplify]: Extracting #4: cost 27 inf + 63 434.030 * * [simplify]: Extracting #5: cost 26 inf + 769 434.031 * * [simplify]: Extracting #6: cost 18 inf + 1660 434.031 * * [simplify]: Extracting #7: cost 12 inf + 2430 434.032 * * [simplify]: Extracting #8: cost 2 inf + 5737 434.033 * * [simplify]: Extracting #9: cost 0 inf + 6624 434.035 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) 434.035 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 434.035 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 434.035 * * [simplify]: iters left: 6 (19 enodes) 434.040 * * [simplify]: iters left: 5 (66 enodes) 434.059 * * [simplify]: iters left: 4 (98 enodes) 434.096 * * [simplify]: iters left: 3 (202 enodes) 434.142 * * [simplify]: iters left: 2 (401 enodes) 434.322 * * [simplify]: Extracting #0: cost 1 inf + 0 434.323 * * [simplify]: Extracting #1: cost 58 inf + 0 434.324 * * [simplify]: Extracting #2: cost 117 inf + 0 434.325 * * [simplify]: Extracting #3: cost 125 inf + 2 434.326 * * [simplify]: Extracting #4: cost 121 inf + 590 434.328 * * [simplify]: Extracting #5: cost 102 inf + 4109 434.334 * * [simplify]: Extracting #6: cost 63 inf + 19468 434.355 * * [simplify]: Extracting #7: cost 10 inf + 46073 434.378 * * [simplify]: Extracting #8: cost 0 inf + 50986 434.395 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (cos th)) (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 434.395 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (cos th)) (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 434.396 * * * * [progress]: [ 759 / 2703 ] simplifiying candidate # 434.396 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 434.396 * * [simplify]: iters left: 6 (16 enodes) 434.400 * * [simplify]: iters left: 5 (55 enodes) 434.410 * * [simplify]: iters left: 4 (79 enodes) 434.423 * * [simplify]: iters left: 3 (99 enodes) 434.438 * * [simplify]: iters left: 2 (126 enodes) 434.473 * * [simplify]: iters left: 1 (136 enodes) 434.491 * * [simplify]: Extracting #0: cost 1 inf + 0 434.491 * * [simplify]: Extracting #1: cost 11 inf + 0 434.491 * * [simplify]: Extracting #2: cost 20 inf + 1 434.491 * * [simplify]: Extracting #3: cost 24 inf + 1 434.491 * * [simplify]: Extracting #4: cost 25 inf + 63 434.491 * * [simplify]: Extracting #5: cost 23 inf + 991 434.492 * * [simplify]: Extracting #6: cost 15 inf + 1701 434.492 * * [simplify]: Extracting #7: cost 10 inf + 2350 434.493 * * [simplify]: Extracting #8: cost 1 inf + 5277 434.494 * * [simplify]: Extracting #9: cost 0 inf + 5660 434.496 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 434.496 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 434.497 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 434.497 * * [simplify]: iters left: 6 (18 enodes) 434.506 * * [simplify]: iters left: 5 (63 enodes) 434.526 * * [simplify]: iters left: 4 (95 enodes) 434.560 * * [simplify]: iters left: 3 (199 enodes) 434.638 * * [simplify]: iters left: 2 (405 enodes) 434.791 * * [simplify]: Extracting #0: cost 1 inf + 0 434.791 * * [simplify]: Extracting #1: cost 61 inf + 0 434.792 * * [simplify]: Extracting #2: cost 119 inf + 0 434.793 * * [simplify]: Extracting #3: cost 126 inf + 2 434.794 * * [simplify]: Extracting #4: cost 118 inf + 1658 434.796 * * [simplify]: Extracting #5: cost 103 inf + 4852 434.798 * * [simplify]: Extracting #6: cost 99 inf + 5317 434.808 * * [simplify]: Extracting #7: cost 56 inf + 22656 434.828 * * [simplify]: Extracting #8: cost 5 inf + 46055 434.851 * * [simplify]: Extracting #9: cost 0 inf + 48493 434.874 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))) 434.874 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))))) 434.874 * * * * [progress]: [ 760 / 2703 ] simplifiying candidate # 434.874 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt 1) (sqrt 1))) 434.875 * * [simplify]: iters left: 6 (10 enodes) 434.881 * * [simplify]: iters left: 5 (36 enodes) 434.886 * * [simplify]: iters left: 4 (48 enodes) 434.893 * * [simplify]: iters left: 3 (56 enodes) 434.902 * * [simplify]: iters left: 2 (66 enodes) 434.919 * * [simplify]: Extracting #0: cost 1 inf + 0 434.919 * * [simplify]: Extracting #1: cost 6 inf + 0 434.919 * * [simplify]: Extracting #2: cost 9 inf + 1 434.919 * * [simplify]: Extracting #3: cost 11 inf + 1 434.920 * * [simplify]: Extracting #4: cost 10 inf + 2 434.920 * * [simplify]: Extracting #5: cost 2 inf + 1132 434.920 * * [simplify]: Extracting #6: cost 1 inf + 1354 434.921 * * [simplify]: Extracting #7: cost 0 inf + 1576 434.921 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 434.922 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 434.922 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 434.922 * * [simplify]: iters left: 6 (17 enodes) 434.930 * * [simplify]: iters left: 5 (60 enodes) 434.952 * * [simplify]: iters left: 4 (90 enodes) 434.983 * * [simplify]: iters left: 3 (164 enodes) 435.046 * * [simplify]: iters left: 2 (283 enodes) 435.143 * * [simplify]: iters left: 1 (420 enodes) 435.342 * * [simplify]: Extracting #0: cost 1 inf + 0 435.342 * * [simplify]: Extracting #1: cost 46 inf + 0 435.342 * * [simplify]: Extracting #2: cost 106 inf + 0 435.343 * * [simplify]: Extracting #3: cost 114 inf + 369 435.346 * * [simplify]: Extracting #4: cost 50 inf + 17681 435.353 * * [simplify]: Extracting #5: cost 1 inf + 35801 435.362 * * [simplify]: Extracting #6: cost 0 inf + 36345 435.370 * [simplify]: Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))) 435.370 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))))) 435.371 * * * * [progress]: [ 761 / 2703 ] simplifiying candidate # 435.371 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 435.371 * * [simplify]: iters left: 6 (16 enodes) 435.380 * * [simplify]: iters left: 5 (55 enodes) 435.397 * * [simplify]: iters left: 4 (79 enodes) 435.419 * * [simplify]: iters left: 3 (99 enodes) 435.436 * * [simplify]: iters left: 2 (126 enodes) 435.469 * * [simplify]: iters left: 1 (136 enodes) 435.495 * * [simplify]: Extracting #0: cost 1 inf + 0 435.495 * * [simplify]: Extracting #1: cost 11 inf + 0 435.495 * * [simplify]: Extracting #2: cost 20 inf + 1 435.495 * * [simplify]: Extracting #3: cost 24 inf + 1 435.495 * * [simplify]: Extracting #4: cost 25 inf + 63 435.495 * * [simplify]: Extracting #5: cost 23 inf + 991 435.496 * * [simplify]: Extracting #6: cost 15 inf + 1701 435.496 * * [simplify]: Extracting #7: cost 10 inf + 2350 435.497 * * [simplify]: Extracting #8: cost 1 inf + 5277 435.498 * * [simplify]: Extracting #9: cost 0 inf + 5660 435.499 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 435.499 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 435.500 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 435.500 * * [simplify]: iters left: 6 (18 enodes) 435.504 * * [simplify]: iters left: 5 (63 enodes) 435.514 * * [simplify]: iters left: 4 (95 enodes) 435.547 * * [simplify]: iters left: 3 (199 enodes) 435.607 * * [simplify]: iters left: 2 (405 enodes) 435.800 * * [simplify]: Extracting #0: cost 1 inf + 0 435.800 * * [simplify]: Extracting #1: cost 61 inf + 0 435.801 * * [simplify]: Extracting #2: cost 119 inf + 0 435.801 * * [simplify]: Extracting #3: cost 126 inf + 2 435.802 * * [simplify]: Extracting #4: cost 118 inf + 1658 435.803 * * [simplify]: Extracting #5: cost 103 inf + 4852 435.804 * * [simplify]: Extracting #6: cost 99 inf + 5317 435.807 * * [simplify]: Extracting #7: cost 56 inf + 22656 435.818 * * [simplify]: Extracting #8: cost 5 inf + 46055 435.829 * * [simplify]: Extracting #9: cost 0 inf + 48493 435.841 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))) 435.841 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))))) 435.841 * * * * [progress]: [ 762 / 2703 ] simplifiying candidate # 435.842 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt 1) 1)) 435.842 * * [simplify]: iters left: 6 (9 enodes) 435.846 * * [simplify]: iters left: 5 (31 enodes) 435.850 * * [simplify]: iters left: 4 (39 enodes) 435.855 * * [simplify]: iters left: 3 (44 enodes) 435.866 * * [simplify]: iters left: 2 (53 enodes) 435.882 * * [simplify]: iters left: 1 (61 enodes) 435.902 * * [simplify]: Extracting #0: cost 1 inf + 0 435.902 * * [simplify]: Extracting #1: cost 6 inf + 0 435.902 * * [simplify]: Extracting #2: cost 9 inf + 1 435.902 * * [simplify]: Extracting #3: cost 11 inf + 1 435.902 * * [simplify]: Extracting #4: cost 10 inf + 2 435.902 * * [simplify]: Extracting #5: cost 8 inf + 124 435.902 * * [simplify]: Extracting #6: cost 4 inf + 769 435.903 * * [simplify]: Extracting #7: cost 0 inf + 1576 435.903 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 435.903 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 435.904 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 435.904 * * [simplify]: iters left: 6 (17 enodes) 435.913 * * [simplify]: iters left: 5 (60 enodes) 435.932 * * [simplify]: iters left: 4 (90 enodes) 435.963 * * [simplify]: iters left: 3 (164 enodes) 436.027 * * [simplify]: iters left: 2 (283 enodes) 436.137 * * [simplify]: iters left: 1 (420 enodes) 436.258 * * [simplify]: Extracting #0: cost 1 inf + 0 436.258 * * [simplify]: Extracting #1: cost 46 inf + 0 436.259 * * [simplify]: Extracting #2: cost 106 inf + 0 436.260 * * [simplify]: Extracting #3: cost 114 inf + 369 436.266 * * [simplify]: Extracting #4: cost 50 inf + 17681 436.282 * * [simplify]: Extracting #5: cost 1 inf + 35801 436.297 * * [simplify]: Extracting #6: cost 0 inf + 36345 436.313 * [simplify]: Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))) 436.313 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))))) 436.314 * * * * [progress]: [ 763 / 2703 ] simplifiying candidate # 436.314 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 436.314 * * [simplify]: iters left: 6 (21 enodes) 436.324 * * [simplify]: iters left: 5 (76 enodes) 436.338 * * [simplify]: iters left: 4 (140 enodes) 436.386 * * [simplify]: iters left: 3 (312 enodes) 436.533 * * [simplify]: Extracting #0: cost 1 inf + 0 436.534 * * [simplify]: Extracting #1: cost 91 inf + 0 436.535 * * [simplify]: Extracting #2: cost 183 inf + 1 436.536 * * [simplify]: Extracting #3: cost 189 inf + 1 436.538 * * [simplify]: Extracting #4: cost 182 inf + 1796 436.540 * * [simplify]: Extracting #5: cost 161 inf + 8919 436.542 * * [simplify]: Extracting #6: cost 132 inf + 18149 436.545 * * [simplify]: Extracting #7: cost 128 inf + 18717 436.552 * * [simplify]: Extracting #8: cost 110 inf + 28380 436.566 * * [simplify]: Extracting #9: cost 21 inf + 80530 436.600 * * [simplify]: Extracting #10: cost 0 inf + 93469 436.626 * * [simplify]: Extracting #11: cost 0 inf + 93349 436.648 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 436.648 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 436.648 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 436.649 * * [simplify]: iters left: 6 (19 enodes) 436.658 * * [simplify]: iters left: 5 (66 enodes) 436.675 * * [simplify]: iters left: 4 (99 enodes) 436.693 * * [simplify]: iters left: 3 (212 enodes) 436.775 * * [simplify]: iters left: 2 (486 enodes) 437.042 * * [simplify]: Extracting #0: cost 1 inf + 0 437.042 * * [simplify]: Extracting #1: cost 110 inf + 0 437.044 * * [simplify]: Extracting #2: cost 216 inf + 0 437.045 * * [simplify]: Extracting #3: cost 227 inf + 0 437.048 * * [simplify]: Extracting #4: cost 211 inf + 4008 437.056 * * [simplify]: Extracting #5: cost 191 inf + 9940 437.062 * * [simplify]: Extracting #6: cost 162 inf + 22125 437.079 * * [simplify]: Extracting #7: cost 39 inf + 90051 437.113 * * [simplify]: Extracting #8: cost 0 inf + 113109 437.158 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 437.158 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 437.159 * * * * [progress]: [ 764 / 2703 ] simplifiying candidate # 437.160 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 437.160 * * [simplify]: iters left: 6 (21 enodes) 437.170 * * [simplify]: iters left: 5 (73 enodes) 437.195 * * [simplify]: iters left: 4 (114 enodes) 437.238 * * [simplify]: iters left: 3 (212 enodes) 437.363 * * [simplify]: iters left: 2 (499 enodes) 437.647 * * [simplify]: Extracting #0: cost 1 inf + 0 437.648 * * [simplify]: Extracting #1: cost 33 inf + 0 437.648 * * [simplify]: Extracting #2: cost 70 inf + 1 437.649 * * [simplify]: Extracting #3: cost 77 inf + 1 437.650 * * [simplify]: Extracting #4: cost 80 inf + 63 437.651 * * [simplify]: Extracting #5: cost 71 inf + 1818 437.654 * * [simplify]: Extracting #6: cost 48 inf + 7757 437.659 * * [simplify]: Extracting #7: cost 19 inf + 19597 437.666 * * [simplify]: Extracting #8: cost 1 inf + 30442 437.673 * * [simplify]: Extracting #9: cost 0 inf + 31106 437.681 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (cos th))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (cos th))))) 437.681 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (cos th))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 437.681 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 437.681 * * [simplify]: iters left: 6 (20 enodes) 437.686 * * [simplify]: iters left: 5 (69 enodes) 437.705 * * [simplify]: iters left: 4 (102 enodes) 437.733 * * [simplify]: iters left: 3 (215 enodes) 437.812 * * [simplify]: iters left: 2 (491 enodes) 438.127 * * [simplify]: Extracting #0: cost 1 inf + 0 438.128 * * [simplify]: Extracting #1: cost 106 inf + 0 438.129 * * [simplify]: Extracting #2: cost 211 inf + 0 438.131 * * [simplify]: Extracting #3: cost 223 inf + 0 438.134 * * [simplify]: Extracting #4: cost 212 inf + 2319 438.140 * * [simplify]: Extracting #5: cost 168 inf + 17741 438.149 * * [simplify]: Extracting #6: cost 105 inf + 49327 438.174 * * [simplify]: Extracting #7: cost 24 inf + 97484 438.204 * * [simplify]: Extracting #8: cost 0 inf + 112510 438.229 * [simplify]: Simplified to (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 438.229 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (cos th))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (cos th))))) (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 438.229 * * * * [progress]: [ 765 / 2703 ] simplifiying candidate # 438.229 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 438.229 * * [simplify]: iters left: 6 (20 enodes) 438.234 * * [simplify]: iters left: 5 (69 enodes) 438.246 * * [simplify]: iters left: 4 (110 enodes) 438.271 * * [simplify]: iters left: 3 (208 enodes) 438.394 * * [simplify]: Extracting #0: cost 1 inf + 0 438.395 * * [simplify]: Extracting #1: cost 63 inf + 0 438.395 * * [simplify]: Extracting #2: cost 120 inf + 1 438.396 * * [simplify]: Extracting #3: cost 126 inf + 1 438.397 * * [simplify]: Extracting #4: cost 124 inf + 888 438.399 * * [simplify]: Extracting #5: cost 116 inf + 2606 438.404 * * [simplify]: Extracting #6: cost 56 inf + 24724 438.421 * * [simplify]: Extracting #7: cost 3 inf + 52695 438.440 * * [simplify]: Extracting #8: cost 0 inf + 54406 438.459 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 438.460 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 438.460 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 438.460 * * [simplify]: iters left: 6 (19 enodes) 438.469 * * [simplify]: iters left: 5 (66 enodes) 438.490 * * [simplify]: iters left: 4 (99 enodes) 438.522 * * [simplify]: iters left: 3 (212 enodes) 438.590 * * [simplify]: iters left: 2 (486 enodes) 438.852 * * [simplify]: Extracting #0: cost 1 inf + 0 438.852 * * [simplify]: Extracting #1: cost 110 inf + 0 438.853 * * [simplify]: Extracting #2: cost 216 inf + 0 438.854 * * [simplify]: Extracting #3: cost 227 inf + 0 438.855 * * [simplify]: Extracting #4: cost 211 inf + 4008 438.857 * * [simplify]: Extracting #5: cost 191 inf + 9940 438.864 * * [simplify]: Extracting #6: cost 162 inf + 21805 438.899 * * [simplify]: Extracting #7: cost 39 inf + 86331 438.944 * * [simplify]: Extracting #8: cost 0 inf + 108069 438.990 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 438.990 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 438.990 * * * * [progress]: [ 766 / 2703 ] simplifiying candidate # 438.991 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 438.991 * * [simplify]: iters left: 6 (14 enodes) 438.999 * * [simplify]: iters left: 5 (50 enodes) 439.015 * * [simplify]: iters left: 4 (79 enodes) 439.033 * * [simplify]: iters left: 3 (155 enodes) 439.093 * * [simplify]: iters left: 2 (274 enodes) 439.279 * * [simplify]: iters left: 1 (344 enodes) 439.454 * * [simplify]: Extracting #0: cost 1 inf + 0 439.455 * * [simplify]: Extracting #1: cost 18 inf + 0 439.455 * * [simplify]: Extracting #2: cost 34 inf + 1 439.456 * * [simplify]: Extracting #3: cost 38 inf + 1 439.456 * * [simplify]: Extracting #4: cost 38 inf + 63 439.457 * * [simplify]: Extracting #5: cost 31 inf + 992 439.458 * * [simplify]: Extracting #6: cost 26 inf + 1739 439.459 * * [simplify]: Extracting #7: cost 16 inf + 4394 439.464 * * [simplify]: Extracting #8: cost 2 inf + 9721 439.469 * * [simplify]: Extracting #9: cost 0 inf + 10425 439.474 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 439.474 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 439.474 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 439.475 * * [simplify]: iters left: 6 (18 enodes) 439.479 * * [simplify]: iters left: 5 (63 enodes) 439.490 * * [simplify]: iters left: 4 (95 enodes) 439.508 * * [simplify]: iters left: 3 (187 enodes) 439.592 * * [simplify]: iters left: 2 (383 enodes) 439.829 * * [simplify]: Extracting #0: cost 1 inf + 0 439.829 * * [simplify]: Extracting #1: cost 78 inf + 0 439.830 * * [simplify]: Extracting #2: cost 150 inf + 0 439.832 * * [simplify]: Extracting #3: cost 163 inf + 0 439.833 * * [simplify]: Extracting #4: cost 149 inf + 1436 439.841 * * [simplify]: Extracting #5: cost 76 inf + 28398 439.867 * * [simplify]: Extracting #6: cost 7 inf + 61616 439.893 * * [simplify]: Extracting #7: cost 0 inf + 65402 439.918 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 439.918 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 439.919 * * * * [progress]: [ 767 / 2703 ] simplifiying candidate # 439.919 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 439.919 * * [simplify]: iters left: 6 (20 enodes) 439.930 * * [simplify]: iters left: 5 (69 enodes) 439.953 * * [simplify]: iters left: 4 (110 enodes) 439.987 * * [simplify]: iters left: 3 (208 enodes) 440.088 * * [simplify]: Extracting #0: cost 1 inf + 0 440.088 * * [simplify]: Extracting #1: cost 63 inf + 0 440.089 * * [simplify]: Extracting #2: cost 120 inf + 1 440.090 * * [simplify]: Extracting #3: cost 126 inf + 1 440.094 * * [simplify]: Extracting #4: cost 124 inf + 888 440.095 * * [simplify]: Extracting #5: cost 116 inf + 2606 440.101 * * [simplify]: Extracting #6: cost 56 inf + 24724 440.112 * * [simplify]: Extracting #7: cost 3 inf + 52695 440.121 * * [simplify]: Extracting #8: cost 0 inf + 54406 440.131 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 440.131 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 440.131 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 440.132 * * [simplify]: iters left: 6 (19 enodes) 440.139 * * [simplify]: iters left: 5 (66 enodes) 440.160 * * [simplify]: iters left: 4 (99 enodes) 440.194 * * [simplify]: iters left: 3 (212 enodes) 440.295 * * [simplify]: iters left: 2 (486 enodes) 440.952 * * [simplify]: Extracting #0: cost 1 inf + 0 440.953 * * [simplify]: Extracting #1: cost 110 inf + 0 440.954 * * [simplify]: Extracting #2: cost 216 inf + 0 440.957 * * [simplify]: Extracting #3: cost 227 inf + 0 440.958 * * [simplify]: Extracting #4: cost 211 inf + 4008 440.960 * * [simplify]: Extracting #5: cost 191 inf + 9940 440.964 * * [simplify]: Extracting #6: cost 162 inf + 21805 440.980 * * [simplify]: Extracting #7: cost 39 inf + 86331 441.007 * * [simplify]: Extracting #8: cost 0 inf + 108069 441.041 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 441.041 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 441.042 * * * * [progress]: [ 768 / 2703 ] simplifiying candidate # 441.042 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 441.043 * * [simplify]: iters left: 6 (13 enodes) 441.050 * * [simplify]: iters left: 5 (45 enodes) 441.065 * * [simplify]: iters left: 4 (80 enodes) 441.082 * * [simplify]: iters left: 3 (161 enodes) 441.168 * * [simplify]: iters left: 2 (291 enodes) 441.348 * * [simplify]: Extracting #0: cost 1 inf + 0 441.349 * * [simplify]: Extracting #1: cost 47 inf + 0 441.349 * * [simplify]: Extracting #2: cost 135 inf + 1 441.349 * * [simplify]: Extracting #3: cost 139 inf + 1 441.350 * * [simplify]: Extracting #4: cost 118 inf + 3711 441.351 * * [simplify]: Extracting #5: cost 83 inf + 10245 441.353 * * [simplify]: Extracting #6: cost 79 inf + 10790 441.356 * * [simplify]: Extracting #7: cost 30 inf + 30257 441.362 * * [simplify]: Extracting #8: cost 0 inf + 43047 441.370 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 441.370 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 441.370 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 441.370 * * [simplify]: iters left: 6 (18 enodes) 441.379 * * [simplify]: iters left: 5 (63 enodes) 441.403 * * [simplify]: iters left: 4 (95 enodes) 441.436 * * [simplify]: iters left: 3 (187 enodes) 441.501 * * [simplify]: iters left: 2 (383 enodes) 441.695 * * [simplify]: Extracting #0: cost 1 inf + 0 441.695 * * [simplify]: Extracting #1: cost 78 inf + 0 441.696 * * [simplify]: Extracting #2: cost 150 inf + 0 441.698 * * [simplify]: Extracting #3: cost 163 inf + 0 441.699 * * [simplify]: Extracting #4: cost 149 inf + 1436 441.707 * * [simplify]: Extracting #5: cost 76 inf + 28398 441.730 * * [simplify]: Extracting #6: cost 7 inf + 61616 441.757 * * [simplify]: Extracting #7: cost 0 inf + 65402 441.774 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 441.775 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 441.775 * * * * [progress]: [ 769 / 2703 ] simplifiying candidate # 441.775 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 441.775 * * [simplify]: iters left: 6 (20 enodes) 441.780 * * [simplify]: iters left: 5 (69 enodes) 441.792 * * [simplify]: iters left: 4 (107 enodes) 441.828 * * [simplify]: iters left: 3 (182 enodes) 441.894 * * [simplify]: iters left: 2 (420 enodes) 442.144 * * [simplify]: Extracting #0: cost 1 inf + 0 442.144 * * [simplify]: Extracting #1: cost 37 inf + 0 442.144 * * [simplify]: Extracting #2: cost 82 inf + 1 442.145 * * [simplify]: Extracting #3: cost 88 inf + 1 442.145 * * [simplify]: Extracting #4: cost 91 inf + 63 442.146 * * [simplify]: Extracting #5: cost 87 inf + 952 442.147 * * [simplify]: Extracting #6: cost 56 inf + 8011 442.153 * * [simplify]: Extracting #7: cost 10 inf + 32160 442.163 * * [simplify]: Extracting #8: cost 0 inf + 36992 442.173 * * [simplify]: Extracting #9: cost 0 inf + 36952 442.182 * [simplify]: Simplified to (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) 442.182 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 442.183 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 442.183 * * [simplify]: iters left: 6 (19 enodes) 442.187 * * [simplify]: iters left: 5 (66 enodes) 442.198 * * [simplify]: iters left: 4 (99 enodes) 442.219 * * [simplify]: iters left: 3 (212 enodes) 442.316 * * [simplify]: iters left: 2 (486 enodes) 442.622 * * [simplify]: Extracting #0: cost 1 inf + 0 442.623 * * [simplify]: Extracting #1: cost 110 inf + 0 442.624 * * [simplify]: Extracting #2: cost 216 inf + 0 442.625 * * [simplify]: Extracting #3: cost 227 inf + 0 442.626 * * [simplify]: Extracting #4: cost 211 inf + 3848 442.628 * * [simplify]: Extracting #5: cost 191 inf + 9260 442.632 * * [simplify]: Extracting #6: cost 162 inf + 20965 442.662 * * [simplify]: Extracting #7: cost 39 inf + 86011 442.689 * * [simplify]: Extracting #8: cost 0 inf + 108029 442.712 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 442.713 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 442.713 * * * * [progress]: [ 770 / 2703 ] simplifiying candidate # 442.713 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 442.713 * * [simplify]: iters left: 6 (20 enodes) 442.718 * * [simplify]: iters left: 5 (68 enodes) 442.730 * * [simplify]: iters left: 4 (98 enodes) 442.765 * * [simplify]: iters left: 3 (146 enodes) 442.809 * * [simplify]: iters left: 2 (268 enodes) 442.888 * * [simplify]: iters left: 1 (335 enodes) 442.967 * * [simplify]: Extracting #0: cost 1 inf + 0 442.967 * * [simplify]: Extracting #1: cost 21 inf + 0 442.967 * * [simplify]: Extracting #2: cost 42 inf + 1 442.967 * * [simplify]: Extracting #3: cost 49 inf + 1 442.968 * * [simplify]: Extracting #4: cost 52 inf + 63 442.968 * * [simplify]: Extracting #5: cost 42 inf + 2061 442.969 * * [simplify]: Extracting #6: cost 21 inf + 6320 442.971 * * [simplify]: Extracting #7: cost 3 inf + 14253 442.976 * * [simplify]: Extracting #8: cost 0 inf + 15763 442.983 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 442.984 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 442.984 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 442.984 * * [simplify]: iters left: 6 (20 enodes) 442.996 * * [simplify]: iters left: 5 (69 enodes) 443.018 * * [simplify]: iters left: 4 (102 enodes) 443.054 * * [simplify]: iters left: 3 (215 enodes) 443.124 * * [simplify]: iters left: 2 (491 enodes) 443.389 * * [simplify]: Extracting #0: cost 1 inf + 0 443.390 * * [simplify]: Extracting #1: cost 106 inf + 0 443.391 * * [simplify]: Extracting #2: cost 211 inf + 0 443.393 * * [simplify]: Extracting #3: cost 223 inf + 0 443.395 * * [simplify]: Extracting #4: cost 212 inf + 2279 443.402 * * [simplify]: Extracting #5: cost 168 inf + 16781 443.412 * * [simplify]: Extracting #6: cost 105 inf + 46727 443.431 * * [simplify]: Extracting #7: cost 24 inf + 92964 443.475 * * [simplify]: Extracting #8: cost 0 inf + 107510 443.506 * [simplify]: Simplified to (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 443.506 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 443.506 * * * * [progress]: [ 771 / 2703 ] simplifiying candidate # 443.506 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 443.506 * * [simplify]: iters left: 6 (19 enodes) 443.512 * * [simplify]: iters left: 5 (64 enodes) 443.525 * * [simplify]: iters left: 4 (94 enodes) 443.556 * * [simplify]: iters left: 3 (142 enodes) 443.612 * * [simplify]: iters left: 2 (255 enodes) 443.737 * * [simplify]: iters left: 1 (320 enodes) 443.833 * * [simplify]: Extracting #0: cost 1 inf + 0 443.833 * * [simplify]: Extracting #1: cost 21 inf + 0 443.833 * * [simplify]: Extracting #2: cost 41 inf + 1 443.834 * * [simplify]: Extracting #3: cost 47 inf + 1 443.834 * * [simplify]: Extracting #4: cost 50 inf + 63 443.834 * * [simplify]: Extracting #5: cost 40 inf + 1881 443.835 * * [simplify]: Extracting #6: cost 23 inf + 5410 443.837 * * [simplify]: Extracting #7: cost 4 inf + 12586 443.845 * * [simplify]: Extracting #8: cost 0 inf + 14399 443.852 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) 443.852 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 443.853 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 443.853 * * [simplify]: iters left: 6 (19 enodes) 443.859 * * [simplify]: iters left: 5 (66 enodes) 443.869 * * [simplify]: iters left: 4 (99 enodes) 443.890 * * [simplify]: iters left: 3 (212 enodes) 443.979 * * [simplify]: iters left: 2 (486 enodes) 444.252 * * [simplify]: Extracting #0: cost 1 inf + 0 444.252 * * [simplify]: Extracting #1: cost 110 inf + 0 444.254 * * [simplify]: Extracting #2: cost 216 inf + 0 444.256 * * [simplify]: Extracting #3: cost 227 inf + 0 444.258 * * [simplify]: Extracting #4: cost 211 inf + 3848 444.262 * * [simplify]: Extracting #5: cost 191 inf + 9260 444.268 * * [simplify]: Extracting #6: cost 162 inf + 20645 444.300 * * [simplify]: Extracting #7: cost 39 inf + 82291 444.330 * * [simplify]: Extracting #8: cost 0 inf + 102989 444.360 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 444.360 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 444.361 * * * * [progress]: [ 772 / 2703 ] simplifiying candidate # 444.361 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 444.361 * * [simplify]: iters left: 6 (13 enodes) 444.372 * * [simplify]: iters left: 5 (45 enodes) 444.387 * * [simplify]: iters left: 4 (63 enodes) 444.406 * * [simplify]: iters left: 3 (91 enodes) 444.422 * * [simplify]: iters left: 2 (127 enodes) 444.468 * * [simplify]: iters left: 1 (152 enodes) 444.522 * * [simplify]: Extracting #0: cost 1 inf + 0 444.522 * * [simplify]: Extracting #1: cost 12 inf + 0 444.522 * * [simplify]: Extracting #2: cost 22 inf + 1 444.522 * * [simplify]: Extracting #3: cost 26 inf + 1 444.523 * * [simplify]: Extracting #4: cost 26 inf + 63 444.523 * * [simplify]: Extracting #5: cost 16 inf + 1336 444.524 * * [simplify]: Extracting #6: cost 7 inf + 3370 444.527 * * [simplify]: Extracting #7: cost 0 inf + 5523 444.529 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) 444.529 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 444.530 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 444.530 * * [simplify]: iters left: 6 (18 enodes) 444.538 * * [simplify]: iters left: 5 (63 enodes) 444.559 * * [simplify]: iters left: 4 (95 enodes) 444.592 * * [simplify]: iters left: 3 (187 enodes) 444.650 * * [simplify]: iters left: 2 (383 enodes) 444.859 * * [simplify]: Extracting #0: cost 1 inf + 0 444.859 * * [simplify]: Extracting #1: cost 78 inf + 0 444.860 * * [simplify]: Extracting #2: cost 150 inf + 0 444.861 * * [simplify]: Extracting #3: cost 163 inf + 0 444.863 * * [simplify]: Extracting #4: cost 149 inf + 1436 444.871 * * [simplify]: Extracting #5: cost 76 inf + 27478 444.897 * * [simplify]: Extracting #6: cost 7 inf + 58416 444.923 * * [simplify]: Extracting #7: cost 0 inf + 61962 444.950 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 444.950 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 444.950 * * * * [progress]: [ 773 / 2703 ] simplifiying candidate # 444.951 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 444.951 * * [simplify]: iters left: 6 (19 enodes) 444.961 * * [simplify]: iters left: 5 (64 enodes) 444.983 * * [simplify]: iters left: 4 (94 enodes) 445.015 * * [simplify]: iters left: 3 (142 enodes) 445.071 * * [simplify]: iters left: 2 (255 enodes) 445.142 * * [simplify]: iters left: 1 (320 enodes) 445.257 * * [simplify]: Extracting #0: cost 1 inf + 0 445.257 * * [simplify]: Extracting #1: cost 21 inf + 0 445.257 * * [simplify]: Extracting #2: cost 41 inf + 1 445.257 * * [simplify]: Extracting #3: cost 47 inf + 1 445.258 * * [simplify]: Extracting #4: cost 50 inf + 63 445.258 * * [simplify]: Extracting #5: cost 40 inf + 1881 445.260 * * [simplify]: Extracting #6: cost 23 inf + 5410 445.264 * * [simplify]: Extracting #7: cost 4 inf + 12586 445.272 * * [simplify]: Extracting #8: cost 0 inf + 14399 445.279 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) 445.279 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 445.279 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 445.280 * * [simplify]: iters left: 6 (19 enodes) 445.289 * * [simplify]: iters left: 5 (66 enodes) 445.306 * * [simplify]: iters left: 4 (99 enodes) 445.324 * * [simplify]: iters left: 3 (212 enodes) 445.393 * * [simplify]: iters left: 2 (486 enodes) 445.714 * * [simplify]: Extracting #0: cost 1 inf + 0 445.714 * * [simplify]: Extracting #1: cost 110 inf + 0 445.716 * * [simplify]: Extracting #2: cost 216 inf + 0 445.718 * * [simplify]: Extracting #3: cost 227 inf + 0 445.720 * * [simplify]: Extracting #4: cost 211 inf + 3848 445.724 * * [simplify]: Extracting #5: cost 191 inf + 9260 445.731 * * [simplify]: Extracting #6: cost 162 inf + 20645 445.763 * * [simplify]: Extracting #7: cost 39 inf + 82291 445.808 * * [simplify]: Extracting #8: cost 0 inf + 102989 445.831 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 445.831 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))))) 445.832 * * * * [progress]: [ 774 / 2703 ] simplifiying candidate # 445.832 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (sqrt (cbrt (sqrt 2))) 1)) 445.832 * * [simplify]: iters left: 6 (12 enodes) 445.836 * * [simplify]: iters left: 5 (40 enodes) 445.843 * * [simplify]: iters left: 4 (60 enodes) 445.854 * * [simplify]: iters left: 3 (91 enodes) 445.875 * * [simplify]: iters left: 2 (141 enodes) 445.911 * * [simplify]: iters left: 1 (175 enodes) 445.959 * * [simplify]: Extracting #0: cost 1 inf + 0 445.959 * * [simplify]: Extracting #1: cost 12 inf + 0 445.959 * * [simplify]: Extracting #2: cost 22 inf + 1 445.960 * * [simplify]: Extracting #3: cost 26 inf + 1 445.960 * * [simplify]: Extracting #4: cost 25 inf + 124 445.960 * * [simplify]: Extracting #5: cost 16 inf + 1155 445.962 * * [simplify]: Extracting #6: cost 6 inf + 3391 445.964 * * [simplify]: Extracting #7: cost 0 inf + 5523 445.966 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) 445.966 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 445.967 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 445.967 * * [simplify]: iters left: 6 (18 enodes) 445.976 * * [simplify]: iters left: 5 (63 enodes) 445.989 * * [simplify]: iters left: 4 (95 enodes) 446.006 * * [simplify]: iters left: 3 (187 enodes) 446.080 * * [simplify]: iters left: 2 (383 enodes) 446.293 * * [simplify]: Extracting #0: cost 1 inf + 0 446.294 * * [simplify]: Extracting #1: cost 78 inf + 0 446.295 * * [simplify]: Extracting #2: cost 150 inf + 0 446.296 * * [simplify]: Extracting #3: cost 163 inf + 0 446.297 * * [simplify]: Extracting #4: cost 149 inf + 1436 446.305 * * [simplify]: Extracting #5: cost 76 inf + 27478 446.323 * * [simplify]: Extracting #6: cost 7 inf + 58416 446.336 * * [simplify]: Extracting #7: cost 0 inf + 61962 446.357 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 446.358 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 446.358 * * * * [progress]: [ 775 / 2703 ] simplifiying candidate # 446.358 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 446.358 * * [simplify]: iters left: 6 (16 enodes) 446.369 * * [simplify]: iters left: 5 (56 enodes) 446.386 * * [simplify]: iters left: 4 (89 enodes) 446.402 * * [simplify]: iters left: 3 (144 enodes) 446.450 * * [simplify]: iters left: 2 (239 enodes) 446.566 * * [simplify]: iters left: 1 (296 enodes) 446.646 * * [simplify]: Extracting #0: cost 1 inf + 0 446.646 * * [simplify]: Extracting #1: cost 17 inf + 0 446.646 * * [simplify]: Extracting #2: cost 32 inf + 1 446.646 * * [simplify]: Extracting #3: cost 36 inf + 1 446.646 * * [simplify]: Extracting #4: cost 36 inf + 124 446.647 * * [simplify]: Extracting #5: cost 36 inf + 769 446.647 * * [simplify]: Extracting #6: cost 27 inf + 1701 446.648 * * [simplify]: Extracting #7: cost 17 inf + 3963 446.650 * * [simplify]: Extracting #8: cost 3 inf + 9708 446.653 * * [simplify]: Extracting #9: cost 0 inf + 11138 446.657 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 446.657 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 446.658 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 446.658 * * [simplify]: iters left: 6 (18 enodes) 446.665 * * [simplify]: iters left: 5 (63 enodes) 446.675 * * [simplify]: iters left: 4 (95 enodes) 446.693 * * [simplify]: iters left: 3 (199 enodes) 446.754 * * [simplify]: iters left: 2 (405 enodes) 446.897 * * [simplify]: Extracting #0: cost 1 inf + 0 446.897 * * [simplify]: Extracting #1: cost 61 inf + 0 446.897 * * [simplify]: Extracting #2: cost 119 inf + 0 446.898 * * [simplify]: Extracting #3: cost 126 inf + 2 446.898 * * [simplify]: Extracting #4: cost 118 inf + 1658 446.899 * * [simplify]: Extracting #5: cost 103 inf + 4852 446.900 * * [simplify]: Extracting #6: cost 99 inf + 5317 446.905 * * [simplify]: Extracting #7: cost 56 inf + 23656 446.925 * * [simplify]: Extracting #8: cost 5 inf + 48455 446.947 * * [simplify]: Extracting #9: cost 0 inf + 51093 446.972 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))) 446.972 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))))) 446.973 * * * * [progress]: [ 776 / 2703 ] simplifiying candidate # 446.973 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 446.973 * * [simplify]: iters left: 6 (16 enodes) 446.981 * * [simplify]: iters left: 5 (55 enodes) 446.998 * * [simplify]: iters left: 4 (78 enodes) 447.023 * * [simplify]: iters left: 3 (101 enodes) 447.046 * * [simplify]: iters left: 2 (132 enodes) 447.069 * * [simplify]: iters left: 1 (136 enodes) 447.093 * * [simplify]: Extracting #0: cost 1 inf + 0 447.093 * * [simplify]: Extracting #1: cost 11 inf + 0 447.093 * * [simplify]: Extracting #2: cost 21 inf + 1 447.093 * * [simplify]: Extracting #3: cost 26 inf + 1 447.094 * * [simplify]: Extracting #4: cost 27 inf + 63 447.094 * * [simplify]: Extracting #5: cost 23 inf + 1395 447.094 * * [simplify]: Extracting #6: cost 18 inf + 1660 447.095 * * [simplify]: Extracting #7: cost 16 inf + 1742 447.095 * * [simplify]: Extracting #8: cost 10 inf + 2874 447.096 * * [simplify]: Extracting #9: cost 1 inf + 6341 447.097 * * [simplify]: Extracting #10: cost 0 inf + 6624 447.098 * [simplify]: Simplified to (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 447.098 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 447.099 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 447.099 * * [simplify]: iters left: 6 (19 enodes) 447.103 * * [simplify]: iters left: 5 (66 enodes) 447.117 * * [simplify]: iters left: 4 (98 enodes) 447.152 * * [simplify]: iters left: 3 (202 enodes) 447.221 * * [simplify]: iters left: 2 (401 enodes) 447.371 * * [simplify]: Extracting #0: cost 1 inf + 0 447.372 * * [simplify]: Extracting #1: cost 58 inf + 0 447.372 * * [simplify]: Extracting #2: cost 117 inf + 0 447.373 * * [simplify]: Extracting #3: cost 125 inf + 2 447.374 * * [simplify]: Extracting #4: cost 121 inf + 590 447.376 * * [simplify]: Extracting #5: cost 102 inf + 4109 447.382 * * [simplify]: Extracting #6: cost 63 inf + 19468 447.400 * * [simplify]: Extracting #7: cost 10 inf + 46073 447.423 * * [simplify]: Extracting #8: cost 0 inf + 50986 447.446 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (cos th)) (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 447.446 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (cos th)) (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 447.447 * * * * [progress]: [ 777 / 2703 ] simplifiying candidate # 447.447 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 447.447 * * [simplify]: iters left: 6 (15 enodes) 447.457 * * [simplify]: iters left: 5 (51 enodes) 447.474 * * [simplify]: iters left: 4 (74 enodes) 447.498 * * [simplify]: iters left: 3 (99 enodes) 447.513 * * [simplify]: iters left: 2 (130 enodes) 447.543 * * [simplify]: iters left: 1 (134 enodes) 447.575 * * [simplify]: Extracting #0: cost 1 inf + 0 447.575 * * [simplify]: Extracting #1: cost 11 inf + 0 447.575 * * [simplify]: Extracting #2: cost 20 inf + 1 447.575 * * [simplify]: Extracting #3: cost 24 inf + 1 447.575 * * [simplify]: Extracting #4: cost 25 inf + 63 447.576 * * [simplify]: Extracting #5: cost 24 inf + 769 447.576 * * [simplify]: Extracting #6: cost 17 inf + 1619 447.577 * * [simplify]: Extracting #7: cost 14 inf + 1742 447.578 * * [simplify]: Extracting #8: cost 8 inf + 2795 447.580 * * [simplify]: Extracting #9: cost 2 inf + 4853 447.582 * * [simplify]: Extracting #10: cost 0 inf + 5660 447.584 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) 447.584 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 447.585 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 447.585 * * [simplify]: iters left: 6 (18 enodes) 447.593 * * [simplify]: iters left: 5 (63 enodes) 447.613 * * [simplify]: iters left: 4 (95 enodes) 447.647 * * [simplify]: iters left: 3 (199 enodes) 447.742 * * [simplify]: iters left: 2 (405 enodes) 447.965 * * [simplify]: Extracting #0: cost 1 inf + 0 447.966 * * [simplify]: Extracting #1: cost 61 inf + 0 447.966 * * [simplify]: Extracting #2: cost 119 inf + 0 447.967 * * [simplify]: Extracting #3: cost 126 inf + 2 447.967 * * [simplify]: Extracting #4: cost 118 inf + 1658 447.968 * * [simplify]: Extracting #5: cost 103 inf + 4852 447.969 * * [simplify]: Extracting #6: cost 99 inf + 5317 447.973 * * [simplify]: Extracting #7: cost 56 inf + 22656 447.988 * * [simplify]: Extracting #8: cost 5 inf + 46055 448.010 * * [simplify]: Extracting #9: cost 0 inf + 48493 448.024 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))) 448.024 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))))) 448.024 * * * * [progress]: [ 778 / 2703 ] simplifiying candidate # 448.024 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ 1 (sqrt 1))) 448.024 * * [simplify]: iters left: 6 (9 enodes) 448.030 * * [simplify]: iters left: 5 (32 enodes) 448.034 * * [simplify]: iters left: 4 (42 enodes) 448.040 * * [simplify]: iters left: 3 (48 enodes) 448.051 * * [simplify]: iters left: 2 (56 enodes) 448.065 * * [simplify]: iters left: 1 (66 enodes) 448.074 * * [simplify]: Extracting #0: cost 1 inf + 0 448.074 * * [simplify]: Extracting #1: cost 6 inf + 0 448.074 * * [simplify]: Extracting #2: cost 9 inf + 1 448.074 * * [simplify]: Extracting #3: cost 11 inf + 1 448.074 * * [simplify]: Extracting #4: cost 10 inf + 2 448.074 * * [simplify]: Extracting #5: cost 3 inf + 950 448.074 * * [simplify]: Extracting #6: cost 0 inf + 1576 448.075 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 448.075 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 448.075 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 448.075 * * [simplify]: iters left: 6 (17 enodes) 448.079 * * [simplify]: iters left: 5 (60 enodes) 448.089 * * [simplify]: iters left: 4 (90 enodes) 448.114 * * [simplify]: iters left: 3 (164 enodes) 448.181 * * [simplify]: iters left: 2 (283 enodes) 448.265 * * [simplify]: iters left: 1 (420 enodes) 448.425 * * [simplify]: Extracting #0: cost 1 inf + 0 448.426 * * [simplify]: Extracting #1: cost 46 inf + 0 448.426 * * [simplify]: Extracting #2: cost 106 inf + 0 448.426 * * [simplify]: Extracting #3: cost 114 inf + 369 448.429 * * [simplify]: Extracting #4: cost 50 inf + 17681 448.437 * * [simplify]: Extracting #5: cost 1 inf + 35801 448.447 * * [simplify]: Extracting #6: cost 0 inf + 36345 448.457 * [simplify]: Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))) 448.457 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))))) 448.458 * * * * [progress]: [ 779 / 2703 ] simplifiying candidate # 448.459 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 448.459 * * [simplify]: iters left: 6 (15 enodes) 448.466 * * [simplify]: iters left: 5 (51 enodes) 448.483 * * [simplify]: iters left: 4 (74 enodes) 448.508 * * [simplify]: iters left: 3 (99 enodes) 448.537 * * [simplify]: iters left: 2 (130 enodes) 448.583 * * [simplify]: iters left: 1 (134 enodes) 448.614 * * [simplify]: Extracting #0: cost 1 inf + 0 448.614 * * [simplify]: Extracting #1: cost 11 inf + 0 448.614 * * [simplify]: Extracting #2: cost 20 inf + 1 448.614 * * [simplify]: Extracting #3: cost 24 inf + 1 448.614 * * [simplify]: Extracting #4: cost 25 inf + 63 448.615 * * [simplify]: Extracting #5: cost 24 inf + 769 448.615 * * [simplify]: Extracting #6: cost 17 inf + 1619 448.616 * * [simplify]: Extracting #7: cost 14 inf + 1742 448.617 * * [simplify]: Extracting #8: cost 8 inf + 2795 448.619 * * [simplify]: Extracting #9: cost 2 inf + 4853 448.621 * * [simplify]: Extracting #10: cost 0 inf + 5660 448.623 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) 448.623 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 448.624 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 448.624 * * [simplify]: iters left: 6 (18 enodes) 448.632 * * [simplify]: iters left: 5 (63 enodes) 448.653 * * [simplify]: iters left: 4 (95 enodes) 448.687 * * [simplify]: iters left: 3 (199 enodes) 448.777 * * [simplify]: iters left: 2 (405 enodes) 448.953 * * [simplify]: Extracting #0: cost 1 inf + 0 448.954 * * [simplify]: Extracting #1: cost 61 inf + 0 448.955 * * [simplify]: Extracting #2: cost 119 inf + 0 448.956 * * [simplify]: Extracting #3: cost 126 inf + 2 448.957 * * [simplify]: Extracting #4: cost 118 inf + 1658 448.959 * * [simplify]: Extracting #5: cost 103 inf + 4852 448.961 * * [simplify]: Extracting #6: cost 99 inf + 5317 448.967 * * [simplify]: Extracting #7: cost 56 inf + 22656 448.979 * * [simplify]: Extracting #8: cost 5 inf + 46055 448.993 * * [simplify]: Extracting #9: cost 0 inf + 48493 449.005 * [simplify]: Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))) 449.005 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (sqrt 2)))))) 449.005 * * * * [progress]: [ 780 / 2703 ] simplifiying candidate # 449.005 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ 1 1)) 449.006 * * [simplify]: iters left: 6 (8 enodes) 449.008 * * [simplify]: iters left: 5 (24 enodes) 449.012 * * [simplify]: iters left: 4 (32 enodes) 449.018 * * [simplify]: iters left: 3 (33 enodes) 449.026 * * [simplify]: Extracting #0: cost 1 inf + 0 449.026 * * [simplify]: Extracting #1: cost 5 inf + 0 449.026 * * [simplify]: Extracting #2: cost 7 inf + 1 449.026 * * [simplify]: Extracting #3: cost 9 inf + 1 449.026 * * [simplify]: Extracting #4: cost 8 inf + 2 449.026 * * [simplify]: Extracting #5: cost 0 inf + 1132 449.027 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 449.027 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 449.027 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 449.028 * * [simplify]: iters left: 6 (17 enodes) 449.035 * * [simplify]: iters left: 5 (60 enodes) 449.045 * * [simplify]: iters left: 4 (90 enodes) 449.060 * * [simplify]: iters left: 3 (164 enodes) 449.120 * * [simplify]: iters left: 2 (283 enodes) 449.202 * * [simplify]: iters left: 1 (420 enodes) 449.420 * * [simplify]: Extracting #0: cost 1 inf + 0 449.420 * * [simplify]: Extracting #1: cost 46 inf + 0 449.420 * * [simplify]: Extracting #2: cost 106 inf + 0 449.421 * * [simplify]: Extracting #3: cost 114 inf + 369 449.424 * * [simplify]: Extracting #4: cost 50 inf + 17681 449.431 * * [simplify]: Extracting #5: cost 1 inf + 35801 449.445 * * [simplify]: Extracting #6: cost 0 inf + 36345 449.462 * [simplify]: Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))) 449.462 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))))) 449.462 * * * * [progress]: [ 781 / 2703 ] simplifiying candidate # 449.462 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 1) 449.462 * * [simplify]: iters left: 6 (7 enodes) 449.469 * * [simplify]: iters left: 5 (21 enodes) 449.475 * * [simplify]: iters left: 4 (31 enodes) 449.479 * * [simplify]: iters left: 3 (32 enodes) 449.484 * * [simplify]: Extracting #0: cost 1 inf + 0 449.484 * * [simplify]: Extracting #1: cost 5 inf + 0 449.484 * * [simplify]: Extracting #2: cost 7 inf + 1 449.484 * * [simplify]: Extracting #3: cost 9 inf + 1 449.484 * * [simplify]: Extracting #4: cost 8 inf + 2 449.484 * * [simplify]: Extracting #5: cost 6 inf + 124 449.484 * * [simplify]: Extracting #6: cost 1 inf + 951 449.484 * * [simplify]: Extracting #7: cost 0 inf + 1132 449.484 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 449.484 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 449.485 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 449.485 * * [simplify]: iters left: 6 (17 enodes) 449.489 * * [simplify]: iters left: 5 (60 enodes) 449.499 * * [simplify]: iters left: 4 (90 enodes) 449.525 * * [simplify]: iters left: 3 (164 enodes) 449.576 * * [simplify]: iters left: 2 (283 enodes) 449.676 * * [simplify]: iters left: 1 (420 enodes) 449.847 * * [simplify]: Extracting #0: cost 1 inf + 0 449.847 * * [simplify]: Extracting #1: cost 46 inf + 0 449.847 * * [simplify]: Extracting #2: cost 106 inf + 0 449.848 * * [simplify]: Extracting #3: cost 114 inf + 369 449.854 * * [simplify]: Extracting #4: cost 50 inf + 17681 449.870 * * [simplify]: Extracting #5: cost 1 inf + 35801 449.886 * * [simplify]: Extracting #6: cost 0 inf + 36345 449.903 * [simplify]: Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))) 449.903 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cbrt (cos th))))) 449.904 * * * * [progress]: [ 782 / 2703 ] simplifiying candidate # 449.904 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (cbrt (sqrt 2))) 449.904 * * [simplify]: iters left: 6 (10 enodes) 449.910 * * [simplify]: iters left: 5 (34 enodes) 449.923 * * [simplify]: iters left: 4 (52 enodes) 449.943 * * [simplify]: iters left: 3 (67 enodes) 449.956 * * [simplify]: iters left: 2 (79 enodes) 449.968 * * [simplify]: Extracting #0: cost 1 inf + 0 449.968 * * [simplify]: Extracting #1: cost 9 inf + 0 449.968 * * [simplify]: Extracting #2: cost 16 inf + 1 449.968 * * [simplify]: Extracting #3: cost 20 inf + 1 449.968 * * [simplify]: Extracting #4: cost 16 inf + 85 449.968 * * [simplify]: Extracting #5: cost 13 inf + 388 449.969 * * [simplify]: Extracting #6: cost 4 inf + 2261 449.969 * * [simplify]: Extracting #7: cost 0 inf + 3349 449.970 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) 449.970 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 449.970 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 449.970 * * [simplify]: iters left: 6 (18 enodes) 449.975 * * [simplify]: iters left: 5 (65 enodes) 449.990 * * [simplify]: iters left: 4 (95 enodes) 450.007 * * [simplify]: iters left: 3 (171 enodes) 450.075 * * [simplify]: iters left: 2 (333 enodes) 450.283 * * [simplify]: Extracting #0: cost 1 inf + 0 450.284 * * [simplify]: Extracting #1: cost 45 inf + 0 450.284 * * [simplify]: Extracting #2: cost 94 inf + 1 450.284 * * [simplify]: Extracting #3: cost 104 inf + 1 450.285 * * [simplify]: Extracting #4: cost 90 inf + 1739 450.286 * * [simplify]: Extracting #5: cost 60 inf + 9160 450.290 * * [simplify]: Extracting #6: cost 27 inf + 20626 450.296 * * [simplify]: Extracting #7: cost 0 inf + 33052 450.304 * [simplify]: Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th)))) 450.304 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th)))))) 450.305 * * * * [progress]: [ 783 / 2703 ] simplifiying candidate # 450.305 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 450.308 * * [simplify]: iters left: 6 (20 enodes) 450.320 * * [simplify]: iters left: 5 (83 enodes) 450.353 * * [simplify]: iters left: 4 (166 enodes) 450.393 * * [simplify]: iters left: 3 (311 enodes) 450.482 * * [simplify]: Extracting #0: cost 1 inf + 0 450.482 * * [simplify]: Extracting #1: cost 32 inf + 0 450.482 * * [simplify]: Extracting #2: cost 61 inf + 1 450.483 * * [simplify]: Extracting #3: cost 68 inf + 1 450.483 * * [simplify]: Extracting #4: cost 93 inf + 226 450.485 * * [simplify]: Extracting #5: cost 123 inf + 3517 450.487 * * [simplify]: Extracting #6: cost 98 inf + 8794 450.494 * * [simplify]: Extracting #7: cost 46 inf + 27697 450.507 * * [simplify]: Extracting #8: cost 8 inf + 43101 450.514 * * [simplify]: Extracting #9: cost 0 inf + 46161 450.522 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (* (* a1 (* a1 a1)) (* a1 (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) 450.523 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (* (* a1 (* a1 a1)) (* a1 (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 450.523 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 450.523 * * [simplify]: iters left: 6 (22 enodes) 450.529 * * [simplify]: iters left: 5 (95 enodes) 450.562 * * [simplify]: iters left: 4 (185 enodes) 450.631 * * [simplify]: iters left: 3 (353 enodes) 450.735 * * [simplify]: Extracting #0: cost 1 inf + 0 450.736 * * [simplify]: Extracting #1: cost 29 inf + 0 450.736 * * [simplify]: Extracting #2: cost 58 inf + 0 450.736 * * [simplify]: Extracting #3: cost 77 inf + 0 450.737 * * [simplify]: Extracting #4: cost 126 inf + 588 450.738 * * [simplify]: Extracting #5: cost 152 inf + 1901 450.743 * * [simplify]: Extracting #6: cost 87 inf + 14420 450.757 * * [simplify]: Extracting #7: cost 14 inf + 35110 450.767 * * [simplify]: Extracting #8: cost 0 inf + 37351 450.775 * * [simplify]: Extracting #9: cost 0 inf + 37191 450.783 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 450.783 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (* (* a1 (* a1 a1)) (* a1 (* a1 a1))))) (/ (cbrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 450.783 * * * * [progress]: [ 784 / 2703 ] simplifiying candidate # 450.783 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 450.783 * * [simplify]: iters left: 6 (19 enodes) 450.789 * * [simplify]: iters left: 5 (76 enodes) 450.816 * * [simplify]: iters left: 4 (136 enodes) 450.865 * * [simplify]: iters left: 3 (238 enodes) 450.945 * * [simplify]: Extracting #0: cost 1 inf + 0 450.946 * * [simplify]: Extracting #1: cost 34 inf + 0 450.946 * * [simplify]: Extracting #2: cost 62 inf + 1 450.947 * * [simplify]: Extracting #3: cost 84 inf + 1 450.947 * * [simplify]: Extracting #4: cost 140 inf + 226 450.949 * * [simplify]: Extracting #5: cost 135 inf + 2528 450.951 * * [simplify]: Extracting #6: cost 75 inf + 14433 450.957 * * [simplify]: Extracting #7: cost 7 inf + 32120 450.966 * * [simplify]: Extracting #8: cost 0 inf + 34983 450.973 * [simplify]: Simplified to (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th)))) 450.973 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 450.974 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (- (* a1 a1) (* a2 a2)))) 450.974 * * [simplify]: iters left: 6 (18 enodes) 450.979 * * [simplify]: iters left: 5 (66 enodes) 450.999 * * [simplify]: iters left: 4 (102 enodes) 451.032 * * [simplify]: iters left: 3 (172 enodes) 451.078 * * [simplify]: iters left: 2 (265 enodes) 451.158 * * [simplify]: iters left: 1 (406 enodes) 451.257 * * [simplify]: Extracting #0: cost 1 inf + 0 451.257 * * [simplify]: Extracting #1: cost 41 inf + 0 451.258 * * [simplify]: Extracting #2: cost 77 inf + 0 451.259 * * [simplify]: Extracting #3: cost 104 inf + 0 451.260 * * [simplify]: Extracting #4: cost 127 inf + 1855 451.261 * * [simplify]: Extracting #5: cost 117 inf + 3711 451.265 * * [simplify]: Extracting #6: cost 49 inf + 18006 451.274 * * [simplify]: Extracting #7: cost 4 inf + 33497 451.281 * * [simplify]: Extracting #8: cost 0 inf + 35591 451.289 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (- (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) 451.289 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (- (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))))) 451.289 * * * * [progress]: [ 785 / 2703 ] simplifiying candidate # 451.289 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 451.289 * * [simplify]: iters left: 6 (19 enodes) 451.294 * * [simplify]: iters left: 5 (68 enodes) 451.313 * * [simplify]: iters left: 4 (113 enodes) 451.340 * * [simplify]: iters left: 3 (215 enodes) 451.389 * * [simplify]: iters left: 2 (353 enodes) 451.503 * * [simplify]: iters left: 1 (414 enodes) 451.656 * * [simplify]: Extracting #0: cost 1 inf + 0 451.656 * * [simplify]: Extracting #1: cost 35 inf + 0 451.656 * * [simplify]: Extracting #2: cost 71 inf + 0 451.657 * * [simplify]: Extracting #3: cost 77 inf + 0 451.658 * * [simplify]: Extracting #4: cost 71 inf + 548 451.659 * * [simplify]: Extracting #5: cost 57 inf + 5016 451.661 * * [simplify]: Extracting #6: cost 60 inf + 5358 451.663 * * [simplify]: Extracting #7: cost 56 inf + 5442 451.664 * * [simplify]: Extracting #8: cost 53 inf + 5646 451.667 * * [simplify]: Extracting #9: cost 45 inf + 8288 451.675 * * [simplify]: Extracting #10: cost 13 inf + 27808 451.692 * * [simplify]: Extracting #11: cost 0 inf + 35398 451.702 * * [simplify]: Extracting #12: cost 0 inf + 35318 451.711 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 451.711 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 451.711 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 451.711 * * [simplify]: iters left: 6 (18 enodes) 451.716 * * [simplify]: iters left: 5 (61 enodes) 451.726 * * [simplify]: iters left: 4 (73 enodes) 451.751 * * [simplify]: iters left: 3 (90 enodes) 451.778 * * [simplify]: iters left: 2 (102 enodes) 451.807 * * [simplify]: iters left: 1 (120 enodes) 451.835 * * [simplify]: Extracting #0: cost 1 inf + 0 451.835 * * [simplify]: Extracting #1: cost 13 inf + 0 451.836 * * [simplify]: Extracting #2: cost 25 inf + 1 451.836 * * [simplify]: Extracting #3: cost 33 inf + 1 451.836 * * [simplify]: Extracting #4: cost 37 inf + 63 451.836 * * [simplify]: Extracting #5: cost 30 inf + 854 451.836 * * [simplify]: Extracting #6: cost 23 inf + 1384 451.837 * * [simplify]: Extracting #7: cost 14 inf + 3263 451.838 * * [simplify]: Extracting #8: cost 2 inf + 8864 451.840 * * [simplify]: Extracting #9: cost 0 inf + 9891 451.842 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 451.842 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 451.843 * * * * [progress]: [ 786 / 2703 ] simplifiying candidate # 451.843 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 451.843 * * [simplify]: iters left: 6 (18 enodes) 451.848 * * [simplify]: iters left: 5 (63 enodes) 451.861 * * [simplify]: iters left: 4 (94 enodes) 451.886 * * [simplify]: iters left: 3 (139 enodes) 451.909 * * [simplify]: iters left: 2 (185 enodes) 451.967 * * [simplify]: iters left: 1 (201 enodes) 451.998 * * [simplify]: Extracting #0: cost 1 inf + 0 451.998 * * [simplify]: Extracting #1: cost 23 inf + 0 451.999 * * [simplify]: Extracting #2: cost 47 inf + 0 451.999 * * [simplify]: Extracting #3: cost 53 inf + 0 451.999 * * [simplify]: Extracting #4: cost 47 inf + 668 452.000 * * [simplify]: Extracting #5: cost 37 inf + 3688 452.002 * * [simplify]: Extracting #6: cost 36 inf + 5358 452.003 * * [simplify]: Extracting #7: cost 32 inf + 5442 452.006 * * [simplify]: Extracting #8: cost 22 inf + 8468 452.009 * * [simplify]: Extracting #9: cost 4 inf + 17633 452.013 * * [simplify]: Extracting #10: cost 0 inf + 19828 452.016 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 452.017 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 452.017 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 452.017 * * [simplify]: iters left: 6 (18 enodes) 452.022 * * [simplify]: iters left: 5 (61 enodes) 452.031 * * [simplify]: iters left: 4 (73 enodes) 452.052 * * [simplify]: iters left: 3 (90 enodes) 452.081 * * [simplify]: iters left: 2 (102 enodes) 452.110 * * [simplify]: iters left: 1 (120 enodes) 452.135 * * [simplify]: Extracting #0: cost 1 inf + 0 452.135 * * [simplify]: Extracting #1: cost 13 inf + 0 452.135 * * [simplify]: Extracting #2: cost 25 inf + 1 452.135 * * [simplify]: Extracting #3: cost 33 inf + 1 452.135 * * [simplify]: Extracting #4: cost 37 inf + 63 452.136 * * [simplify]: Extracting #5: cost 30 inf + 854 452.136 * * [simplify]: Extracting #6: cost 23 inf + 1384 452.136 * * [simplify]: Extracting #7: cost 14 inf + 3223 452.138 * * [simplify]: Extracting #8: cost 2 inf + 8464 452.140 * * [simplify]: Extracting #9: cost 0 inf + 9411 452.142 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 452.142 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 452.142 * * * * [progress]: [ 787 / 2703 ] simplifiying candidate # 452.142 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 452.142 * * [simplify]: iters left: 6 (20 enodes) 452.147 * * [simplify]: iters left: 5 (73 enodes) 452.160 * * [simplify]: iters left: 4 (126 enodes) 452.186 * * [simplify]: iters left: 3 (284 enodes) 452.317 * * [simplify]: Extracting #0: cost 1 inf + 0 452.318 * * [simplify]: Extracting #1: cost 95 inf + 0 452.319 * * [simplify]: Extracting #2: cost 198 inf + 0 452.321 * * [simplify]: Extracting #3: cost 204 inf + 0 452.324 * * [simplify]: Extracting #4: cost 178 inf + 7562 452.330 * * [simplify]: Extracting #5: cost 149 inf + 21344 452.337 * * [simplify]: Extracting #6: cost 145 inf + 21689 452.345 * * [simplify]: Extracting #7: cost 130 inf + 27088 452.361 * * [simplify]: Extracting #8: cost 44 inf + 83303 452.393 * * [simplify]: Extracting #9: cost 0 inf + 112968 452.418 * * [simplify]: Extracting #10: cost 0 inf + 112848 452.441 * * [simplify]: Extracting #11: cost 0 inf + 112808 452.481 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 452.481 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 452.482 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 452.482 * * [simplify]: iters left: 6 (19 enodes) 452.487 * * [simplify]: iters left: 5 (66 enodes) 452.498 * * [simplify]: iters left: 4 (88 enodes) 452.513 * * [simplify]: iters left: 3 (142 enodes) 452.549 * * [simplify]: iters left: 2 (217 enodes) 452.632 * * [simplify]: iters left: 1 (345 enodes) 452.793 * * [simplify]: Extracting #0: cost 1 inf + 0 452.793 * * [simplify]: Extracting #1: cost 30 inf + 0 452.794 * * [simplify]: Extracting #2: cost 59 inf + 1 452.794 * * [simplify]: Extracting #3: cost 66 inf + 1 452.795 * * [simplify]: Extracting #4: cost 70 inf + 63 452.796 * * [simplify]: Extracting #5: cost 51 inf + 2330 452.799 * * [simplify]: Extracting #6: cost 30 inf + 9506 452.805 * * [simplify]: Extracting #7: cost 4 inf + 21931 452.811 * * [simplify]: Extracting #8: cost 0 inf + 23824 452.817 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 452.817 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 452.817 * * * * [progress]: [ 788 / 2703 ] simplifiying candidate # 452.817 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 452.817 * * [simplify]: iters left: 6 (20 enodes) 452.822 * * [simplify]: iters left: 5 (72 enodes) 452.840 * * [simplify]: iters left: 4 (117 enodes) 452.864 * * [simplify]: iters left: 3 (232 enodes) 452.937 * * [simplify]: iters left: 2 (496 enodes) 453.263 * * [simplify]: Extracting #0: cost 1 inf + 0 453.263 * * [simplify]: Extracting #1: cost 71 inf + 0 453.264 * * [simplify]: Extracting #2: cost 147 inf + 0 453.265 * * [simplify]: Extracting #3: cost 154 inf + 0 453.267 * * [simplify]: Extracting #4: cost 138 inf + 3986 453.272 * * [simplify]: Extracting #5: cost 107 inf + 17610 453.279 * * [simplify]: Extracting #6: cost 88 inf + 23140 453.292 * * [simplify]: Extracting #7: cost 57 inf + 40444 453.321 * * [simplify]: Extracting #8: cost 0 inf + 74187 453.342 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 453.342 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 453.342 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 453.342 * * [simplify]: iters left: 6 (20 enodes) 453.347 * * [simplify]: iters left: 5 (69 enodes) 453.359 * * [simplify]: iters left: 4 (91 enodes) 453.389 * * [simplify]: iters left: 3 (145 enodes) 453.444 * * [simplify]: iters left: 2 (220 enodes) 453.509 * * [simplify]: iters left: 1 (347 enodes) 453.648 * * [simplify]: Extracting #0: cost 1 inf + 0 453.648 * * [simplify]: Extracting #1: cost 30 inf + 0 453.648 * * [simplify]: Extracting #2: cost 60 inf + 1 453.649 * * [simplify]: Extracting #3: cost 68 inf + 1 453.649 * * [simplify]: Extracting #4: cost 72 inf + 63 453.649 * * [simplify]: Extracting #5: cost 55 inf + 1804 453.650 * * [simplify]: Extracting #6: cost 46 inf + 3799 453.652 * * [simplify]: Extracting #7: cost 32 inf + 9142 453.656 * * [simplify]: Extracting #8: cost 5 inf + 22131 453.666 * * [simplify]: Extracting #9: cost 0 inf + 24708 453.680 * [simplify]: Simplified to (* (/ (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) 453.681 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 453.681 * * * * [progress]: [ 789 / 2703 ] simplifiying candidate # 453.681 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 453.682 * * [simplify]: iters left: 6 (19 enodes) 453.691 * * [simplify]: iters left: 5 (68 enodes) 453.702 * * [simplify]: iters left: 4 (113 enodes) 453.727 * * [simplify]: iters left: 3 (226 enodes) 453.831 * * [simplify]: iters left: 2 (485 enodes) 454.104 * * [simplify]: Extracting #0: cost 1 inf + 0 454.104 * * [simplify]: Extracting #1: cost 73 inf + 0 454.105 * * [simplify]: Extracting #2: cost 148 inf + 0 454.106 * * [simplify]: Extracting #3: cost 154 inf + 0 454.106 * * [simplify]: Extracting #4: cost 146 inf + 1814 454.108 * * [simplify]: Extracting #5: cost 116 inf + 13431 454.112 * * [simplify]: Extracting #6: cost 89 inf + 23139 454.116 * * [simplify]: Extracting #7: cost 86 inf + 23424 454.128 * * [simplify]: Extracting #8: cost 57 inf + 39046 454.149 * * [simplify]: Extracting #9: cost 3 inf + 69579 454.165 * * [simplify]: Extracting #10: cost 0 inf + 71390 454.196 * [simplify]: Simplified to (* (* (/ (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 454.196 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 454.197 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 454.197 * * [simplify]: iters left: 6 (19 enodes) 454.207 * * [simplify]: iters left: 5 (66 enodes) 454.227 * * [simplify]: iters left: 4 (88 enodes) 454.248 * * [simplify]: iters left: 3 (142 enodes) 454.285 * * [simplify]: iters left: 2 (217 enodes) 454.349 * * [simplify]: iters left: 1 (345 enodes) 454.498 * * [simplify]: Extracting #0: cost 1 inf + 0 454.498 * * [simplify]: Extracting #1: cost 30 inf + 0 454.499 * * [simplify]: Extracting #2: cost 59 inf + 1 454.499 * * [simplify]: Extracting #3: cost 66 inf + 1 454.500 * * [simplify]: Extracting #4: cost 70 inf + 63 454.501 * * [simplify]: Extracting #5: cost 51 inf + 2330 454.504 * * [simplify]: Extracting #6: cost 30 inf + 9386 454.515 * * [simplify]: Extracting #7: cost 4 inf + 20891 454.522 * * [simplify]: Extracting #8: cost 0 inf + 22624 454.528 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 454.528 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 454.528 * * * * [progress]: [ 790 / 2703 ] simplifiying candidate # 454.529 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 454.529 * * [simplify]: iters left: 6 (14 enodes) 454.533 * * [simplify]: iters left: 5 (54 enodes) 454.542 * * [simplify]: iters left: 4 (87 enodes) 454.567 * * [simplify]: iters left: 3 (155 enodes) 454.622 * * [simplify]: iters left: 2 (279 enodes) 454.796 * * [simplify]: iters left: 1 (484 enodes) 455.162 * * [simplify]: Extracting #0: cost 1 inf + 0 455.164 * * [simplify]: Extracting #1: cost 37 inf + 0 455.164 * * [simplify]: Extracting #2: cost 72 inf + 1 455.165 * * [simplify]: Extracting #3: cost 76 inf + 1 455.165 * * [simplify]: Extracting #4: cost 68 inf + 670 455.167 * * [simplify]: Extracting #5: cost 33 inf + 11474 455.173 * * [simplify]: Extracting #6: cost 2 inf + 23474 455.179 * * [simplify]: Extracting #7: cost 0 inf + 24438 455.186 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 455.186 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 455.187 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 455.187 * * [simplify]: iters left: 6 (18 enodes) 455.197 * * [simplify]: iters left: 5 (63 enodes) 455.216 * * [simplify]: iters left: 4 (84 enodes) 455.232 * * [simplify]: iters left: 3 (120 enodes) 455.260 * * [simplify]: iters left: 2 (169 enodes) 455.311 * * [simplify]: iters left: 1 (264 enodes) 455.395 * * [simplify]: Extracting #0: cost 1 inf + 0 455.396 * * [simplify]: Extracting #1: cost 23 inf + 0 455.396 * * [simplify]: Extracting #2: cost 54 inf + 1 455.396 * * [simplify]: Extracting #3: cost 59 inf + 532 455.397 * * [simplify]: Extracting #4: cost 52 inf + 1529 455.398 * * [simplify]: Extracting #5: cost 23 inf + 8892 455.402 * * [simplify]: Extracting #6: cost 5 inf + 15943 455.405 * * [simplify]: Extracting #7: cost 0 inf + 18199 455.409 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) 455.409 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (cbrt (cos th)) (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))))) 455.410 * * * * [progress]: [ 791 / 2703 ] simplifiying candidate # 455.410 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 455.410 * * [simplify]: iters left: 6 (19 enodes) 455.415 * * [simplify]: iters left: 5 (68 enodes) 455.430 * * [simplify]: iters left: 4 (113 enodes) 455.474 * * [simplify]: iters left: 3 (226 enodes) 455.565 * * [simplify]: iters left: 2 (485 enodes) 455.822 * * [simplify]: Extracting #0: cost 1 inf + 0 455.823 * * [simplify]: Extracting #1: cost 73 inf + 0 455.824 * * [simplify]: Extracting #2: cost 148 inf + 0 455.825 * * [simplify]: Extracting #3: cost 154 inf + 0 455.827 * * [simplify]: Extracting #4: cost 146 inf + 1814 455.834 * * [simplify]: Extracting #5: cost 116 inf + 13431 455.841 * * [simplify]: Extracting #6: cost 89 inf + 23139 455.845 * * [simplify]: Extracting #7: cost 86 inf + 23424 455.852 * * [simplify]: Extracting #8: cost 57 inf + 39046 455.868 * * [simplify]: Extracting #9: cost 3 inf + 69579 455.894 * * [simplify]: Extracting #10: cost 0 inf + 71390 455.926 * [simplify]: Simplified to (* (* (/ (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 455.926 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 455.927 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 455.927 * * [simplify]: iters left: 6 (19 enodes) 455.936 * * [simplify]: iters left: 5 (66 enodes) 455.957 * * [simplify]: iters left: 4 (88 enodes) 455.979 * * [simplify]: iters left: 3 (142 enodes) 456.014 * * [simplify]: iters left: 2 (217 enodes) 456.079 * * [simplify]: iters left: 1 (345 enodes) 456.230 * * [simplify]: Extracting #0: cost 1 inf + 0 456.231 * * [simplify]: Extracting #1: cost 30 inf + 0 456.231 * * [simplify]: Extracting #2: cost 59 inf + 1 456.231 * * [simplify]: Extracting #3: cost 66 inf + 1 456.231 * * [simplify]: Extracting #4: cost 70 inf + 63 456.232 * * [simplify]: Extracting #5: cost 51 inf + 2330 456.234 * * [simplify]: Extracting #6: cost 30 inf + 9386 456.240 * * [simplify]: Extracting #7: cost 4 inf + 20891 456.246 * * [simplify]: Extracting #8: cost 0 inf + 22624 456.252 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 456.252 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 456.252 * * * * [progress]: [ 792 / 2703 ] simplifiying candidate # 456.253 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 456.253 * * [simplify]: iters left: 6 (13 enodes) 456.257 * * [simplify]: iters left: 5 (49 enodes) 456.266 * * [simplify]: iters left: 4 (84 enodes) 456.282 * * [simplify]: iters left: 3 (156 enodes) 456.345 * * [simplify]: iters left: 2 (290 enodes) 456.544 * * [simplify]: iters left: 1 (496 enodes) 456.882 * * [simplify]: Extracting #0: cost 1 inf + 0 456.882 * * [simplify]: Extracting #1: cost 35 inf + 0 456.883 * * [simplify]: Extracting #2: cost 67 inf + 1 456.883 * * [simplify]: Extracting #3: cost 71 inf + 1 456.884 * * [simplify]: Extracting #4: cost 62 inf + 650 456.888 * * [simplify]: Extracting #5: cost 25 inf + 12394 456.900 * * [simplify]: Extracting #6: cost 1 inf + 22261 456.911 * * [simplify]: Extracting #7: cost 0 inf + 22543 456.923 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th)))) 456.923 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 456.923 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 456.924 * * [simplify]: iters left: 6 (18 enodes) 456.935 * * [simplify]: iters left: 5 (63 enodes) 456.952 * * [simplify]: iters left: 4 (84 enodes) 456.976 * * [simplify]: iters left: 3 (120 enodes) 457.012 * * [simplify]: iters left: 2 (169 enodes) 457.064 * * [simplify]: iters left: 1 (264 enodes) 457.183 * * [simplify]: Extracting #0: cost 1 inf + 0 457.183 * * [simplify]: Extracting #1: cost 23 inf + 0 457.183 * * [simplify]: Extracting #2: cost 54 inf + 1 457.184 * * [simplify]: Extracting #3: cost 59 inf + 532 457.185 * * [simplify]: Extracting #4: cost 52 inf + 1529 457.188 * * [simplify]: Extracting #5: cost 23 inf + 8892 457.195 * * [simplify]: Extracting #6: cost 5 inf + 15943 457.202 * * [simplify]: Extracting #7: cost 0 inf + 18199 457.211 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) 457.211 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))))) 457.211 * * * * [progress]: [ 793 / 2703 ] simplifiying candidate # 457.212 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 457.212 * * [simplify]: iters left: 6 (23 enodes) 457.224 * * [simplify]: iters left: 5 (83 enodes) 457.250 * * [simplify]: iters left: 4 (136 enodes) 457.306 * * [simplify]: iters left: 3 (294 enodes) 457.453 * * [simplify]: Extracting #0: cost 1 inf + 0 457.453 * * [simplify]: Extracting #1: cost 95 inf + 0 457.454 * * [simplify]: Extracting #2: cost 199 inf + 0 457.455 * * [simplify]: Extracting #3: cost 208 inf + 0 457.456 * * [simplify]: Extracting #4: cost 192 inf + 3425 457.459 * * [simplify]: Extracting #5: cost 158 inf + 19232 457.463 * * [simplify]: Extracting #6: cost 144 inf + 24616 457.474 * * [simplify]: Extracting #7: cost 140 inf + 24982 457.485 * * [simplify]: Extracting #8: cost 120 inf + 36109 457.518 * * [simplify]: Extracting #9: cost 20 inf + 105677 457.545 * * [simplify]: Extracting #10: cost 0 inf + 120494 457.576 * * [simplify]: Extracting #11: cost 0 inf + 120454 457.608 * [simplify]: Simplified to (/ (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) 457.608 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 457.609 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 457.609 * * [simplify]: iters left: 6 (19 enodes) 457.613 * * [simplify]: iters left: 5 (66 enodes) 457.625 * * [simplify]: iters left: 4 (88 enodes) 457.654 * * [simplify]: iters left: 3 (142 enodes) 457.706 * * [simplify]: iters left: 2 (217 enodes) 457.795 * * [simplify]: iters left: 1 (345 enodes) 457.936 * * [simplify]: Extracting #0: cost 1 inf + 0 457.936 * * [simplify]: Extracting #1: cost 30 inf + 0 457.936 * * [simplify]: Extracting #2: cost 59 inf + 1 457.937 * * [simplify]: Extracting #3: cost 66 inf + 1 457.938 * * [simplify]: Extracting #4: cost 70 inf + 63 457.939 * * [simplify]: Extracting #5: cost 51 inf + 2410 457.942 * * [simplify]: Extracting #6: cost 30 inf + 9586 457.951 * * [simplify]: Extracting #7: cost 4 inf + 22011 457.963 * * [simplify]: Extracting #8: cost 0 inf + 23904 457.974 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 457.974 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 457.975 * * * * [progress]: [ 794 / 2703 ] simplifiying candidate # 457.975 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 457.975 * * [simplify]: iters left: 6 (23 enodes) 457.986 * * [simplify]: iters left: 5 (82 enodes) 458.000 * * [simplify]: iters left: 4 (127 enodes) 458.041 * * [simplify]: iters left: 3 (242 enodes) 458.131 * * [simplify]: Extracting #0: cost 1 inf + 0 458.132 * * [simplify]: Extracting #1: cost 71 inf + 0 458.132 * * [simplify]: Extracting #2: cost 126 inf + 0 458.132 * * [simplify]: Extracting #3: cost 136 inf + 0 458.133 * * [simplify]: Extracting #4: cost 128 inf + 1836 458.135 * * [simplify]: Extracting #5: cost 97 inf + 13792 458.138 * * [simplify]: Extracting #6: cost 71 inf + 24116 458.142 * * [simplify]: Extracting #7: cost 53 inf + 33713 458.155 * * [simplify]: Extracting #8: cost 7 inf + 63759 458.179 * * [simplify]: Extracting #9: cost 0 inf + 68965 458.202 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 458.203 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 458.203 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 458.203 * * [simplify]: iters left: 6 (20 enodes) 458.213 * * [simplify]: iters left: 5 (69 enodes) 458.235 * * [simplify]: iters left: 4 (91 enodes) 458.252 * * [simplify]: iters left: 3 (145 enodes) 458.279 * * [simplify]: iters left: 2 (220 enodes) 458.347 * * [simplify]: iters left: 1 (347 enodes) 458.473 * * [simplify]: Extracting #0: cost 1 inf + 0 458.473 * * [simplify]: Extracting #1: cost 30 inf + 0 458.473 * * [simplify]: Extracting #2: cost 60 inf + 1 458.473 * * [simplify]: Extracting #3: cost 68 inf + 1 458.474 * * [simplify]: Extracting #4: cost 72 inf + 63 458.474 * * [simplify]: Extracting #5: cost 55 inf + 1884 458.475 * * [simplify]: Extracting #6: cost 46 inf + 3879 458.478 * * [simplify]: Extracting #7: cost 32 inf + 9222 458.482 * * [simplify]: Extracting #8: cost 5 inf + 22211 458.488 * * [simplify]: Extracting #9: cost 0 inf + 24788 458.495 * [simplify]: Simplified to (* (/ (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (sqrt (cbrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) 458.495 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (sqrt (cbrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 458.495 * * * * [progress]: [ 795 / 2703 ] simplifiying candidate # 458.495 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 458.495 * * [simplify]: iters left: 6 (22 enodes) 458.501 * * [simplify]: iters left: 5 (78 enodes) 458.516 * * [simplify]: iters left: 4 (123 enodes) 458.541 * * [simplify]: iters left: 3 (238 enodes) 458.657 * * [simplify]: Extracting #0: cost 1 inf + 0 458.657 * * [simplify]: Extracting #1: cost 71 inf + 0 458.657 * * [simplify]: Extracting #2: cost 125 inf + 0 458.658 * * [simplify]: Extracting #3: cost 134 inf + 0 458.658 * * [simplify]: Extracting #4: cost 125 inf + 2017 458.660 * * [simplify]: Extracting #5: cost 93 inf + 15076 458.663 * * [simplify]: Extracting #6: cost 68 inf + 24658 458.669 * * [simplify]: Extracting #7: cost 65 inf + 25064 458.673 * * [simplify]: Extracting #8: cost 47 inf + 34562 458.685 * * [simplify]: Extracting #9: cost 1 inf + 65418 458.699 * * [simplify]: Extracting #10: cost 0 inf + 65801 458.723 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 458.723 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 458.724 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 458.724 * * [simplify]: iters left: 6 (19 enodes) 458.733 * * [simplify]: iters left: 5 (66 enodes) 458.754 * * [simplify]: iters left: 4 (88 enodes) 458.781 * * [simplify]: iters left: 3 (142 enodes) 458.813 * * [simplify]: iters left: 2 (217 enodes) 458.875 * * [simplify]: iters left: 1 (345 enodes) 459.013 * * [simplify]: Extracting #0: cost 1 inf + 0 459.013 * * [simplify]: Extracting #1: cost 30 inf + 0 459.014 * * [simplify]: Extracting #2: cost 59 inf + 1 459.014 * * [simplify]: Extracting #3: cost 66 inf + 1 459.015 * * [simplify]: Extracting #4: cost 70 inf + 63 459.016 * * [simplify]: Extracting #5: cost 51 inf + 2410 459.019 * * [simplify]: Extracting #6: cost 30 inf + 9466 459.028 * * [simplify]: Extracting #7: cost 4 inf + 20971 459.040 * * [simplify]: Extracting #8: cost 0 inf + 22704 459.050 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 459.050 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 459.051 * * * * [progress]: [ 796 / 2703 ] simplifiying candidate # 459.051 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 459.051 * * [simplify]: iters left: 6 (17 enodes) 459.061 * * [simplify]: iters left: 5 (64 enodes) 459.072 * * [simplify]: iters left: 4 (97 enodes) 459.091 * * [simplify]: iters left: 3 (165 enodes) 459.163 * * [simplify]: iters left: 2 (285 enodes) 459.351 * * [simplify]: iters left: 1 (488 enodes) 459.709 * * [simplify]: Extracting #0: cost 1 inf + 0 459.709 * * [simplify]: Extracting #1: cost 35 inf + 0 459.709 * * [simplify]: Extracting #2: cost 68 inf + 1 459.710 * * [simplify]: Extracting #3: cost 75 inf + 1 459.710 * * [simplify]: Extracting #4: cost 68 inf + 751 459.712 * * [simplify]: Extracting #5: cost 39 inf + 8277 459.716 * * [simplify]: Extracting #6: cost 9 inf + 20713 459.726 * * [simplify]: Extracting #7: cost 0 inf + 24809 459.736 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) 459.737 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 459.737 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 459.737 * * [simplify]: iters left: 6 (18 enodes) 459.745 * * [simplify]: iters left: 5 (63 enodes) 459.755 * * [simplify]: iters left: 4 (84 enodes) 459.775 * * [simplify]: iters left: 3 (120 enodes) 459.816 * * [simplify]: iters left: 2 (169 enodes) 459.873 * * [simplify]: iters left: 1 (264 enodes) 459.967 * * [simplify]: Extracting #0: cost 1 inf + 0 459.967 * * [simplify]: Extracting #1: cost 23 inf + 0 459.967 * * [simplify]: Extracting #2: cost 54 inf + 1 459.968 * * [simplify]: Extracting #3: cost 59 inf + 532 459.969 * * [simplify]: Extracting #4: cost 52 inf + 1529 459.972 * * [simplify]: Extracting #5: cost 23 inf + 8932 459.979 * * [simplify]: Extracting #6: cost 5 inf + 16023 459.987 * * [simplify]: Extracting #7: cost 0 inf + 18279 459.992 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (cbrt 2)))) 459.992 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (cbrt 2)))))) 459.993 * * * * [progress]: [ 797 / 2703 ] simplifiying candidate # 459.993 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 459.993 * * [simplify]: iters left: 6 (22 enodes) 459.999 * * [simplify]: iters left: 5 (78 enodes) 460.012 * * [simplify]: iters left: 4 (123 enodes) 460.050 * * [simplify]: iters left: 3 (238 enodes) 460.152 * * [simplify]: Extracting #0: cost 1 inf + 0 460.152 * * [simplify]: Extracting #1: cost 71 inf + 0 460.153 * * [simplify]: Extracting #2: cost 125 inf + 0 460.153 * * [simplify]: Extracting #3: cost 134 inf + 0 460.154 * * [simplify]: Extracting #4: cost 125 inf + 2017 460.156 * * [simplify]: Extracting #5: cost 93 inf + 15076 460.159 * * [simplify]: Extracting #6: cost 68 inf + 24658 460.162 * * [simplify]: Extracting #7: cost 65 inf + 25064 460.167 * * [simplify]: Extracting #8: cost 47 inf + 34562 460.178 * * [simplify]: Extracting #9: cost 1 inf + 65418 460.202 * * [simplify]: Extracting #10: cost 0 inf + 65801 460.226 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 460.226 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 460.226 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 460.226 * * [simplify]: iters left: 6 (19 enodes) 460.231 * * [simplify]: iters left: 5 (66 enodes) 460.242 * * [simplify]: iters left: 4 (88 enodes) 460.259 * * [simplify]: iters left: 3 (142 enodes) 460.311 * * [simplify]: iters left: 2 (217 enodes) 460.380 * * [simplify]: iters left: 1 (345 enodes) 460.512 * * [simplify]: Extracting #0: cost 1 inf + 0 460.512 * * [simplify]: Extracting #1: cost 30 inf + 0 460.513 * * [simplify]: Extracting #2: cost 59 inf + 1 460.513 * * [simplify]: Extracting #3: cost 66 inf + 1 460.513 * * [simplify]: Extracting #4: cost 70 inf + 63 460.514 * * [simplify]: Extracting #5: cost 51 inf + 2410 460.515 * * [simplify]: Extracting #6: cost 30 inf + 9466 460.522 * * [simplify]: Extracting #7: cost 4 inf + 20971 460.528 * * [simplify]: Extracting #8: cost 0 inf + 22704 460.534 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 460.534 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 460.534 * * * * [progress]: [ 798 / 2703 ] simplifiying candidate # 460.534 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 460.534 * * [simplify]: iters left: 6 (16 enodes) 460.539 * * [simplify]: iters left: 5 (59 enodes) 460.551 * * [simplify]: iters left: 4 (94 enodes) 460.568 * * [simplify]: iters left: 3 (166 enodes) 460.647 * * [simplify]: iters left: 2 (299 enodes) 460.782 * * [simplify]: Extracting #0: cost 1 inf + 0 460.782 * * [simplify]: Extracting #1: cost 49 inf + 0 460.783 * * [simplify]: Extracting #2: cost 95 inf + 1 460.783 * * [simplify]: Extracting #3: cost 102 inf + 1 460.784 * * [simplify]: Extracting #4: cost 93 inf + 1353 460.786 * * [simplify]: Extracting #5: cost 44 inf + 17723 460.796 * * [simplify]: Extracting #6: cost 0 inf + 38114 460.810 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) 460.810 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 460.810 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 460.811 * * [simplify]: iters left: 6 (18 enodes) 460.820 * * [simplify]: iters left: 5 (63 enodes) 460.839 * * [simplify]: iters left: 4 (84 enodes) 460.862 * * [simplify]: iters left: 3 (120 enodes) 460.888 * * [simplify]: iters left: 2 (169 enodes) 460.937 * * [simplify]: iters left: 1 (264 enodes) 461.039 * * [simplify]: Extracting #0: cost 1 inf + 0 461.039 * * [simplify]: Extracting #1: cost 23 inf + 0 461.039 * * [simplify]: Extracting #2: cost 54 inf + 1 461.039 * * [simplify]: Extracting #3: cost 59 inf + 532 461.040 * * [simplify]: Extracting #4: cost 52 inf + 1529 461.041 * * [simplify]: Extracting #5: cost 23 inf + 8932 461.045 * * [simplify]: Extracting #6: cost 5 inf + 16023 461.049 * * [simplify]: Extracting #7: cost 0 inf + 18279 461.053 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (cbrt 2)))) 461.053 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (cbrt 2)))))) 461.053 * * * * [progress]: [ 799 / 2703 ] simplifiying candidate # 461.054 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 461.054 * * [simplify]: iters left: 6 (21 enodes) 461.059 * * [simplify]: iters left: 5 (76 enodes) 461.074 * * [simplify]: iters left: 4 (129 enodes) 461.123 * * [simplify]: iters left: 3 (289 enodes) 461.258 * * [simplify]: Extracting #0: cost 1 inf + 0 461.258 * * [simplify]: Extracting #1: cost 97 inf + 0 461.259 * * [simplify]: Extracting #2: cost 202 inf + 0 461.260 * * [simplify]: Extracting #3: cost 209 inf + 0 461.261 * * [simplify]: Extracting #4: cost 195 inf + 2721 461.264 * * [simplify]: Extracting #5: cost 164 inf + 15743 461.271 * * [simplify]: Extracting #6: cost 144 inf + 22116 461.281 * * [simplify]: Extracting #7: cost 119 inf + 35035 461.318 * * [simplify]: Extracting #8: cost 16 inf + 103362 461.344 * * [simplify]: Extracting #9: cost 0 inf + 113280 461.375 * * [simplify]: Extracting #10: cost 0 inf + 113000 461.413 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) 461.413 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 461.413 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 461.414 * * [simplify]: iters left: 6 (19 enodes) 461.423 * * [simplify]: iters left: 5 (66 enodes) 461.444 * * [simplify]: iters left: 4 (88 enodes) 461.460 * * [simplify]: iters left: 3 (142 enodes) 461.502 * * [simplify]: iters left: 2 (217 enodes) 461.593 * * [simplify]: iters left: 1 (345 enodes) 461.741 * * [simplify]: Extracting #0: cost 1 inf + 0 461.741 * * [simplify]: Extracting #1: cost 30 inf + 0 461.742 * * [simplify]: Extracting #2: cost 59 inf + 1 461.742 * * [simplify]: Extracting #3: cost 66 inf + 1 461.743 * * [simplify]: Extracting #4: cost 70 inf + 63 461.744 * * [simplify]: Extracting #5: cost 51 inf + 2170 461.747 * * [simplify]: Extracting #6: cost 30 inf + 8866 461.756 * * [simplify]: Extracting #7: cost 4 inf + 20771 461.767 * * [simplify]: Extracting #8: cost 0 inf + 22584 461.778 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 461.778 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 461.779 * * * * [progress]: [ 800 / 2703 ] simplifiying candidate # 461.779 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 461.779 * * [simplify]: iters left: 6 (21 enodes) 461.790 * * [simplify]: iters left: 5 (75 enodes) 461.816 * * [simplify]: iters left: 4 (120 enodes) 461.858 * * [simplify]: iters left: 3 (233 enodes) 461.941 * * [simplify]: iters left: 2 (490 enodes) 462.194 * * [simplify]: Extracting #0: cost 1 inf + 0 462.195 * * [simplify]: Extracting #1: cost 72 inf + 0 462.196 * * [simplify]: Extracting #2: cost 149 inf + 0 462.197 * * [simplify]: Extracting #3: cost 157 inf + 0 462.199 * * [simplify]: Extracting #4: cost 145 inf + 2761 462.204 * * [simplify]: Extracting #5: cost 107 inf + 17754 462.216 * * [simplify]: Extracting #6: cost 58 inf + 38158 462.243 * * [simplify]: Extracting #7: cost 7 inf + 69707 462.259 * * [simplify]: Extracting #8: cost 0 inf + 73732 462.278 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 462.278 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 462.279 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 462.279 * * [simplify]: iters left: 6 (20 enodes) 462.289 * * [simplify]: iters left: 5 (69 enodes) 462.310 * * [simplify]: iters left: 4 (91 enodes) 462.343 * * [simplify]: iters left: 3 (145 enodes) 462.386 * * [simplify]: iters left: 2 (220 enodes) 462.434 * * [simplify]: iters left: 1 (347 enodes) 462.573 * * [simplify]: Extracting #0: cost 1 inf + 0 462.573 * * [simplify]: Extracting #1: cost 30 inf + 0 462.573 * * [simplify]: Extracting #2: cost 60 inf + 1 462.574 * * [simplify]: Extracting #3: cost 68 inf + 1 462.574 * * [simplify]: Extracting #4: cost 72 inf + 63 462.575 * * [simplify]: Extracting #5: cost 55 inf + 1684 462.577 * * [simplify]: Extracting #6: cost 46 inf + 3479 462.580 * * [simplify]: Extracting #7: cost 32 inf + 8582 462.590 * * [simplify]: Extracting #8: cost 5 inf + 21011 462.602 * * [simplify]: Extracting #9: cost 0 inf + 23468 462.614 * [simplify]: Simplified to (* (/ (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) 462.614 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 462.614 * * * * [progress]: [ 801 / 2703 ] simplifiying candidate # 462.615 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 462.615 * * [simplify]: iters left: 6 (20 enodes) 462.624 * * [simplify]: iters left: 5 (71 enodes) 462.647 * * [simplify]: iters left: 4 (116 enodes) 462.675 * * [simplify]: iters left: 3 (231 enodes) 462.763 * * [simplify]: iters left: 2 (496 enodes) 463.015 * * [simplify]: Extracting #0: cost 1 inf + 0 463.015 * * [simplify]: Extracting #1: cost 72 inf + 0 463.015 * * [simplify]: Extracting #2: cost 147 inf + 0 463.016 * * [simplify]: Extracting #3: cost 154 inf + 0 463.017 * * [simplify]: Extracting #4: cost 141 inf + 2560 463.019 * * [simplify]: Extracting #5: cost 110 inf + 14761 463.026 * * [simplify]: Extracting #6: cost 83 inf + 23308 463.037 * * [simplify]: Extracting #7: cost 56 inf + 37781 463.062 * * [simplify]: Extracting #8: cost 2 inf + 68318 463.092 * * [simplify]: Extracting #9: cost 0 inf + 69585 463.125 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) 463.125 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 463.125 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 463.126 * * [simplify]: iters left: 6 (19 enodes) 463.135 * * [simplify]: iters left: 5 (66 enodes) 463.156 * * [simplify]: iters left: 4 (88 enodes) 463.185 * * [simplify]: iters left: 3 (142 enodes) 463.236 * * [simplify]: iters left: 2 (217 enodes) 463.331 * * [simplify]: iters left: 1 (345 enodes) 463.473 * * [simplify]: Extracting #0: cost 1 inf + 0 463.473 * * [simplify]: Extracting #1: cost 30 inf + 0 463.473 * * [simplify]: Extracting #2: cost 59 inf + 1 463.473 * * [simplify]: Extracting #3: cost 66 inf + 1 463.474 * * [simplify]: Extracting #4: cost 70 inf + 63 463.474 * * [simplify]: Extracting #5: cost 51 inf + 2170 463.476 * * [simplify]: Extracting #6: cost 30 inf + 8746 463.480 * * [simplify]: Extracting #7: cost 4 inf + 19731 463.486 * * [simplify]: Extracting #8: cost 0 inf + 21384 463.494 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 463.494 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 463.494 * * * * [progress]: [ 802 / 2703 ] simplifiying candidate # 463.495 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 463.495 * * [simplify]: iters left: 6 (15 enodes) 463.505 * * [simplify]: iters left: 5 (57 enodes) 463.524 * * [simplify]: iters left: 4 (90 enodes) 463.555 * * [simplify]: iters left: 3 (158 enodes) 463.637 * * [simplify]: iters left: 2 (281 enodes) 463.772 * * [simplify]: iters left: 1 (484 enodes) 464.090 * * [simplify]: Extracting #0: cost 1 inf + 0 464.090 * * [simplify]: Extracting #1: cost 37 inf + 0 464.091 * * [simplify]: Extracting #2: cost 70 inf + 1 464.091 * * [simplify]: Extracting #3: cost 75 inf + 1 464.092 * * [simplify]: Extracting #4: cost 65 inf + 791 464.096 * * [simplify]: Extracting #5: cost 31 inf + 10889 464.101 * * [simplify]: Extracting #6: cost 3 inf + 21624 464.108 * * [simplify]: Extracting #7: cost 0 inf + 22850 464.120 * * [simplify]: Extracting #8: cost 0 inf + 22810 464.133 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) 464.133 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 464.133 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 464.134 * * [simplify]: iters left: 6 (18 enodes) 464.142 * * [simplify]: iters left: 5 (63 enodes) 464.159 * * [simplify]: iters left: 4 (84 enodes) 464.173 * * [simplify]: iters left: 3 (120 enodes) 464.201 * * [simplify]: iters left: 2 (169 enodes) 464.274 * * [simplify]: iters left: 1 (264 enodes) 464.365 * * [simplify]: Extracting #0: cost 1 inf + 0 464.365 * * [simplify]: Extracting #1: cost 23 inf + 0 464.365 * * [simplify]: Extracting #2: cost 54 inf + 1 464.366 * * [simplify]: Extracting #3: cost 59 inf + 532 464.367 * * [simplify]: Extracting #4: cost 52 inf + 1529 464.369 * * [simplify]: Extracting #5: cost 23 inf + 8492 464.373 * * [simplify]: Extracting #6: cost 5 inf + 14943 464.377 * * [simplify]: Extracting #7: cost 0 inf + 16999 464.380 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) 464.381 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))))) 464.381 * * * * [progress]: [ 803 / 2703 ] simplifiying candidate # 464.381 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 464.381 * * [simplify]: iters left: 6 (20 enodes) 464.386 * * [simplify]: iters left: 5 (71 enodes) 464.400 * * [simplify]: iters left: 4 (116 enodes) 464.441 * * [simplify]: iters left: 3 (231 enodes) 464.567 * * [simplify]: iters left: 2 (496 enodes) 464.843 * * [simplify]: Extracting #0: cost 1 inf + 0 464.846 * * [simplify]: Extracting #1: cost 72 inf + 0 464.847 * * [simplify]: Extracting #2: cost 147 inf + 0 464.848 * * [simplify]: Extracting #3: cost 154 inf + 0 464.850 * * [simplify]: Extracting #4: cost 141 inf + 2560 464.854 * * [simplify]: Extracting #5: cost 110 inf + 14761 464.861 * * [simplify]: Extracting #6: cost 83 inf + 23308 464.872 * * [simplify]: Extracting #7: cost 56 inf + 37781 464.888 * * [simplify]: Extracting #8: cost 2 inf + 68318 464.903 * * [simplify]: Extracting #9: cost 0 inf + 69585 464.918 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) 464.918 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 464.919 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 464.919 * * [simplify]: iters left: 6 (19 enodes) 464.927 * * [simplify]: iters left: 5 (66 enodes) 464.938 * * [simplify]: iters left: 4 (88 enodes) 464.957 * * [simplify]: iters left: 3 (142 enodes) 465.009 * * [simplify]: iters left: 2 (217 enodes) 465.084 * * [simplify]: iters left: 1 (345 enodes) 465.216 * * [simplify]: Extracting #0: cost 1 inf + 0 465.216 * * [simplify]: Extracting #1: cost 30 inf + 0 465.217 * * [simplify]: Extracting #2: cost 59 inf + 1 465.217 * * [simplify]: Extracting #3: cost 66 inf + 1 465.217 * * [simplify]: Extracting #4: cost 70 inf + 63 465.218 * * [simplify]: Extracting #5: cost 51 inf + 2170 465.220 * * [simplify]: Extracting #6: cost 30 inf + 8746 465.226 * * [simplify]: Extracting #7: cost 4 inf + 19731 465.233 * * [simplify]: Extracting #8: cost 0 inf + 21384 465.244 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 465.244 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 465.244 * * * * [progress]: [ 804 / 2703 ] simplifiying candidate # 465.245 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) 1)) 465.245 * * [simplify]: iters left: 6 (14 enodes) 465.252 * * [simplify]: iters left: 5 (52 enodes) 465.271 * * [simplify]: iters left: 4 (87 enodes) 465.298 * * [simplify]: iters left: 3 (159 enodes) 465.357 * * [simplify]: iters left: 2 (293 enodes) 465.516 * * [simplify]: Extracting #0: cost 1 inf + 0 465.516 * * [simplify]: Extracting #1: cost 49 inf + 0 465.517 * * [simplify]: Extracting #2: cost 92 inf + 1 465.517 * * [simplify]: Extracting #3: cost 97 inf + 1 465.518 * * [simplify]: Extracting #4: cost 82 inf + 1939 465.523 * * [simplify]: Extracting #5: cost 33 inf + 19132 465.532 * * [simplify]: Extracting #6: cost 2 inf + 31358 465.538 * * [simplify]: Extracting #7: cost 0 inf + 32402 465.544 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 465.544 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 465.545 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 465.545 * * [simplify]: iters left: 6 (18 enodes) 465.549 * * [simplify]: iters left: 5 (63 enodes) 465.559 * * [simplify]: iters left: 4 (84 enodes) 465.585 * * [simplify]: iters left: 3 (120 enodes) 465.613 * * [simplify]: iters left: 2 (169 enodes) 465.684 * * [simplify]: iters left: 1 (264 enodes) 465.773 * * [simplify]: Extracting #0: cost 1 inf + 0 465.773 * * [simplify]: Extracting #1: cost 23 inf + 0 465.774 * * [simplify]: Extracting #2: cost 54 inf + 1 465.774 * * [simplify]: Extracting #3: cost 59 inf + 532 465.775 * * [simplify]: Extracting #4: cost 52 inf + 1529 465.778 * * [simplify]: Extracting #5: cost 23 inf + 8492 465.785 * * [simplify]: Extracting #6: cost 5 inf + 14943 465.792 * * [simplify]: Extracting #7: cost 0 inf + 16999 465.800 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) 465.800 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))))) 465.800 * * * * [progress]: [ 805 / 2703 ] simplifiying candidate # 465.800 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 465.801 * * [simplify]: iters left: 6 (22 enodes) 465.815 * * [simplify]: iters left: 5 (81 enodes) 465.829 * * [simplify]: iters left: 4 (130 enodes) 465.870 * * [simplify]: iters left: 3 (280 enodes) 466.043 * * [simplify]: Extracting #0: cost 1 inf + 0 466.043 * * [simplify]: Extracting #1: cost 78 inf + 0 466.044 * * [simplify]: Extracting #2: cost 153 inf + 1 466.045 * * [simplify]: Extracting #3: cost 159 inf + 1 466.045 * * [simplify]: Extracting #4: cost 148 inf + 1938 466.047 * * [simplify]: Extracting #5: cost 133 inf + 7337 466.049 * * [simplify]: Extracting #6: cost 123 inf + 9435 466.051 * * [simplify]: Extracting #7: cost 106 inf + 15184 466.069 * * [simplify]: Extracting #8: cost 23 inf + 60104 466.095 * * [simplify]: Extracting #9: cost 0 inf + 71988 466.113 * * [simplify]: Extracting #10: cost 0 inf + 71907 466.139 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 466.139 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 466.139 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 466.140 * * [simplify]: iters left: 6 (18 enodes) 466.149 * * [simplify]: iters left: 5 (63 enodes) 466.170 * * [simplify]: iters left: 4 (85 enodes) 466.198 * * [simplify]: iters left: 3 (139 enodes) 466.251 * * [simplify]: iters left: 2 (214 enodes) 466.316 * * [simplify]: iters left: 1 (342 enodes) 466.450 * * [simplify]: Extracting #0: cost 1 inf + 0 466.450 * * [simplify]: Extracting #1: cost 30 inf + 0 466.451 * * [simplify]: Extracting #2: cost 59 inf + 1 466.451 * * [simplify]: Extracting #3: cost 66 inf + 1 466.452 * * [simplify]: Extracting #4: cost 65 inf + 226 466.453 * * [simplify]: Extracting #5: cost 50 inf + 2067 466.455 * * [simplify]: Extracting #6: cost 29 inf + 8284 466.459 * * [simplify]: Extracting #7: cost 6 inf + 18804 466.465 * * [simplify]: Extracting #8: cost 0 inf + 21262 466.471 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 466.471 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 466.471 * * * * [progress]: [ 806 / 2703 ] simplifiying candidate # 466.471 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 466.471 * * [simplify]: iters left: 6 (22 enodes) 466.478 * * [simplify]: iters left: 5 (80 enodes) 466.495 * * [simplify]: iters left: 4 (118 enodes) 466.520 * * [simplify]: iters left: 3 (197 enodes) 466.589 * * [simplify]: iters left: 2 (376 enodes) 466.753 * * [simplify]: Extracting #0: cost 1 inf + 0 466.753 * * [simplify]: Extracting #1: cost 37 inf + 0 466.754 * * [simplify]: Extracting #2: cost 76 inf + 1 466.754 * * [simplify]: Extracting #3: cost 83 inf + 1 466.754 * * [simplify]: Extracting #4: cost 79 inf + 508 466.755 * * [simplify]: Extracting #5: cost 57 inf + 7274 466.757 * * [simplify]: Extracting #6: cost 42 inf + 10982 466.759 * * [simplify]: Extracting #7: cost 37 inf + 11590 466.763 * * [simplify]: Extracting #8: cost 9 inf + 24320 466.770 * * [simplify]: Extracting #9: cost 0 inf + 29216 466.780 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 466.780 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 466.781 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 466.781 * * [simplify]: iters left: 6 (19 enodes) 466.790 * * [simplify]: iters left: 5 (66 enodes) 466.800 * * [simplify]: iters left: 4 (88 enodes) 466.818 * * [simplify]: iters left: 3 (142 enodes) 466.859 * * [simplify]: iters left: 2 (217 enodes) 466.932 * * [simplify]: iters left: 1 (346 enodes) 467.112 * * [simplify]: Extracting #0: cost 1 inf + 0 467.112 * * [simplify]: Extracting #1: cost 30 inf + 0 467.115 * * [simplify]: Extracting #2: cost 60 inf + 1 467.116 * * [simplify]: Extracting #3: cost 68 inf + 1 467.116 * * [simplify]: Extracting #4: cost 67 inf + 146 467.117 * * [simplify]: Extracting #5: cost 57 inf + 917 467.118 * * [simplify]: Extracting #6: cost 45 inf + 3521 467.121 * * [simplify]: Extracting #7: cost 33 inf + 7418 467.130 * * [simplify]: Extracting #8: cost 4 inf + 20414 467.142 * * [simplify]: Extracting #9: cost 0 inf + 22146 467.153 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2)))) 467.153 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2)))))) 467.153 * * * * [progress]: [ 807 / 2703 ] simplifiying candidate # 467.154 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 467.154 * * [simplify]: iters left: 6 (21 enodes) 467.169 * * [simplify]: iters left: 5 (76 enodes) 467.193 * * [simplify]: iters left: 4 (114 enodes) 467.228 * * [simplify]: iters left: 3 (193 enodes) 467.298 * * [simplify]: iters left: 2 (368 enodes) 467.482 * * [simplify]: Extracting #0: cost 1 inf + 0 467.482 * * [simplify]: Extracting #1: cost 41 inf + 0 467.483 * * [simplify]: Extracting #2: cost 79 inf + 1 467.483 * * [simplify]: Extracting #3: cost 85 inf + 1 467.483 * * [simplify]: Extracting #4: cost 82 inf + 387 467.485 * * [simplify]: Extracting #5: cost 57 inf + 8118 467.488 * * [simplify]: Extracting #6: cost 42 inf + 11064 467.491 * * [simplify]: Extracting #7: cost 29 inf + 15923 467.497 * * [simplify]: Extracting #8: cost 1 inf + 28785 467.507 * * [simplify]: Extracting #9: cost 0 inf + 29188 467.522 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 467.522 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 467.523 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 467.523 * * [simplify]: iters left: 6 (18 enodes) 467.532 * * [simplify]: iters left: 5 (63 enodes) 467.551 * * [simplify]: iters left: 4 (85 enodes) 467.580 * * [simplify]: iters left: 3 (139 enodes) 467.609 * * [simplify]: iters left: 2 (214 enodes) 467.691 * * [simplify]: iters left: 1 (342 enodes) 467.839 * * [simplify]: Extracting #0: cost 1 inf + 0 467.839 * * [simplify]: Extracting #1: cost 30 inf + 0 467.840 * * [simplify]: Extracting #2: cost 59 inf + 1 467.840 * * [simplify]: Extracting #3: cost 66 inf + 1 467.840 * * [simplify]: Extracting #4: cost 65 inf + 226 467.841 * * [simplify]: Extracting #5: cost 50 inf + 2067 467.843 * * [simplify]: Extracting #6: cost 29 inf + 8084 467.847 * * [simplify]: Extracting #7: cost 6 inf + 17844 467.853 * * [simplify]: Extracting #8: cost 0 inf + 20062 467.858 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 467.858 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 467.858 * * * * [progress]: [ 808 / 2703 ] simplifiying candidate # 467.859 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 1)) (sqrt 1))) 467.859 * * [simplify]: iters left: 6 (14 enodes) 467.870 * * [simplify]: iters left: 5 (54 enodes) 467.884 * * [simplify]: iters left: 4 (77 enodes) 467.899 * * [simplify]: iters left: 3 (107 enodes) 467.931 * * [simplify]: iters left: 2 (157 enodes) 468.020 * * [simplify]: iters left: 1 (238 enodes) 468.128 * * [simplify]: Extracting #0: cost 1 inf + 0 468.128 * * [simplify]: Extracting #1: cost 19 inf + 0 468.128 * * [simplify]: Extracting #2: cost 35 inf + 1 468.128 * * [simplify]: Extracting #3: cost 39 inf + 1 468.128 * * [simplify]: Extracting #4: cost 35 inf + 105 468.129 * * [simplify]: Extracting #5: cost 14 inf + 4698 468.131 * * [simplify]: Extracting #6: cost 1 inf + 8304 468.133 * * [simplify]: Extracting #7: cost 0 inf + 8646 468.136 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 468.136 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 468.136 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 468.136 * * [simplify]: iters left: 6 (17 enodes) 468.141 * * [simplify]: iters left: 5 (60 enodes) 468.157 * * [simplify]: iters left: 4 (81 enodes) 468.184 * * [simplify]: iters left: 3 (117 enodes) 468.206 * * [simplify]: iters left: 2 (166 enodes) 468.263 * * [simplify]: iters left: 1 (261 enodes) 468.353 * * [simplify]: Extracting #0: cost 1 inf + 0 468.353 * * [simplify]: Extracting #1: cost 23 inf + 0 468.354 * * [simplify]: Extracting #2: cost 54 inf + 1 468.354 * * [simplify]: Extracting #3: cost 60 inf + 369 468.355 * * [simplify]: Extracting #4: cost 42 inf + 2783 468.360 * * [simplify]: Extracting #5: cost 8 inf + 13094 468.366 * * [simplify]: Extracting #6: cost 0 inf + 15717 468.370 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 468.370 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 468.370 * * * * [progress]: [ 809 / 2703 ] simplifiying candidate # 468.370 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 468.371 * * [simplify]: iters left: 6 (21 enodes) 468.378 * * [simplify]: iters left: 5 (76 enodes) 468.391 * * [simplify]: iters left: 4 (114 enodes) 468.417 * * [simplify]: iters left: 3 (193 enodes) 468.496 * * [simplify]: iters left: 2 (368 enodes) 468.677 * * [simplify]: Extracting #0: cost 1 inf + 0 468.677 * * [simplify]: Extracting #1: cost 41 inf + 0 468.677 * * [simplify]: Extracting #2: cost 79 inf + 1 468.678 * * [simplify]: Extracting #3: cost 85 inf + 1 468.678 * * [simplify]: Extracting #4: cost 82 inf + 387 468.679 * * [simplify]: Extracting #5: cost 57 inf + 8118 468.683 * * [simplify]: Extracting #6: cost 42 inf + 11064 468.686 * * [simplify]: Extracting #7: cost 29 inf + 15923 468.692 * * [simplify]: Extracting #8: cost 1 inf + 28785 468.699 * * [simplify]: Extracting #9: cost 0 inf + 29188 468.707 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 468.707 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 468.707 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 468.708 * * [simplify]: iters left: 6 (18 enodes) 468.714 * * [simplify]: iters left: 5 (63 enodes) 468.734 * * [simplify]: iters left: 4 (85 enodes) 468.767 * * [simplify]: iters left: 3 (139 enodes) 468.821 * * [simplify]: iters left: 2 (214 enodes) 468.909 * * [simplify]: iters left: 1 (342 enodes) 469.066 * * [simplify]: Extracting #0: cost 1 inf + 0 469.066 * * [simplify]: Extracting #1: cost 30 inf + 0 469.067 * * [simplify]: Extracting #2: cost 59 inf + 1 469.067 * * [simplify]: Extracting #3: cost 66 inf + 1 469.068 * * [simplify]: Extracting #4: cost 65 inf + 226 469.069 * * [simplify]: Extracting #5: cost 50 inf + 2067 469.072 * * [simplify]: Extracting #6: cost 29 inf + 8084 469.078 * * [simplify]: Extracting #7: cost 6 inf + 17844 469.083 * * [simplify]: Extracting #8: cost 0 inf + 20062 469.089 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 469.089 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 469.089 * * * * [progress]: [ 810 / 2703 ] simplifiying candidate # 469.089 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 1)) 1)) 469.090 * * [simplify]: iters left: 6 (14 enodes) 469.096 * * [simplify]: iters left: 5 (52 enodes) 469.105 * * [simplify]: iters left: 4 (75 enodes) 469.128 * * [simplify]: iters left: 3 (103 enodes) 469.167 * * [simplify]: iters left: 2 (150 enodes) 469.235 * * [simplify]: iters left: 1 (225 enodes) 469.333 * * [simplify]: Extracting #0: cost 1 inf + 0 469.333 * * [simplify]: Extracting #1: cost 18 inf + 0 469.333 * * [simplify]: Extracting #2: cost 34 inf + 1 469.333 * * [simplify]: Extracting #3: cost 38 inf + 1 469.333 * * [simplify]: Extracting #4: cost 34 inf + 105 469.334 * * [simplify]: Extracting #5: cost 12 inf + 4881 469.336 * * [simplify]: Extracting #6: cost 0 inf + 8303 469.339 * * [simplify]: Extracting #7: cost 0 inf + 8263 469.341 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 469.341 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 469.341 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 469.341 * * [simplify]: iters left: 6 (17 enodes) 469.346 * * [simplify]: iters left: 5 (60 enodes) 469.355 * * [simplify]: iters left: 4 (81 enodes) 469.378 * * [simplify]: iters left: 3 (117 enodes) 469.416 * * [simplify]: iters left: 2 (166 enodes) 469.488 * * [simplify]: iters left: 1 (261 enodes) 469.579 * * [simplify]: Extracting #0: cost 1 inf + 0 469.579 * * [simplify]: Extracting #1: cost 23 inf + 0 469.579 * * [simplify]: Extracting #2: cost 54 inf + 1 469.580 * * [simplify]: Extracting #3: cost 60 inf + 369 469.581 * * [simplify]: Extracting #4: cost 42 inf + 2783 469.587 * * [simplify]: Extracting #5: cost 8 inf + 13094 469.594 * * [simplify]: Extracting #6: cost 0 inf + 15717 469.601 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 469.601 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 469.602 * * * * [progress]: [ 811 / 2703 ] simplifiying candidate # 469.602 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 469.602 * * [simplify]: iters left: 6 (21 enodes) 469.612 * * [simplify]: iters left: 5 (76 enodes) 469.637 * * [simplify]: iters left: 4 (129 enodes) 469.662 * * [simplify]: iters left: 3 (289 enodes) 469.788 * * [simplify]: Extracting #0: cost 1 inf + 0 469.789 * * [simplify]: Extracting #1: cost 97 inf + 0 469.790 * * [simplify]: Extracting #2: cost 202 inf + 0 469.792 * * [simplify]: Extracting #3: cost 209 inf + 0 469.794 * * [simplify]: Extracting #4: cost 195 inf + 2721 469.799 * * [simplify]: Extracting #5: cost 164 inf + 15743 469.805 * * [simplify]: Extracting #6: cost 144 inf + 22116 469.815 * * [simplify]: Extracting #7: cost 119 inf + 35035 469.836 * * [simplify]: Extracting #8: cost 16 inf + 103362 469.870 * * [simplify]: Extracting #9: cost 0 inf + 113280 469.913 * * [simplify]: Extracting #10: cost 0 inf + 113000 469.956 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) 469.956 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 469.957 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 469.957 * * [simplify]: iters left: 6 (19 enodes) 469.966 * * [simplify]: iters left: 5 (66 enodes) 469.987 * * [simplify]: iters left: 4 (88 enodes) 470.004 * * [simplify]: iters left: 3 (142 enodes) 470.044 * * [simplify]: iters left: 2 (217 enodes) 470.108 * * [simplify]: iters left: 1 (345 enodes) 470.267 * * [simplify]: Extracting #0: cost 1 inf + 0 470.268 * * [simplify]: Extracting #1: cost 30 inf + 0 470.268 * * [simplify]: Extracting #2: cost 59 inf + 1 470.269 * * [simplify]: Extracting #3: cost 66 inf + 1 470.269 * * [simplify]: Extracting #4: cost 70 inf + 63 470.270 * * [simplify]: Extracting #5: cost 51 inf + 2170 470.274 * * [simplify]: Extracting #6: cost 30 inf + 8866 470.283 * * [simplify]: Extracting #7: cost 4 inf + 20771 470.297 * * [simplify]: Extracting #8: cost 0 inf + 22584 470.309 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 470.309 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 470.309 * * * * [progress]: [ 812 / 2703 ] simplifiying candidate # 470.310 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 470.310 * * [simplify]: iters left: 6 (21 enodes) 470.320 * * [simplify]: iters left: 5 (75 enodes) 470.343 * * [simplify]: iters left: 4 (120 enodes) 470.385 * * [simplify]: iters left: 3 (233 enodes) 470.459 * * [simplify]: iters left: 2 (490 enodes) 470.739 * * [simplify]: Extracting #0: cost 1 inf + 0 470.739 * * [simplify]: Extracting #1: cost 72 inf + 0 470.740 * * [simplify]: Extracting #2: cost 149 inf + 0 470.741 * * [simplify]: Extracting #3: cost 157 inf + 0 470.742 * * [simplify]: Extracting #4: cost 145 inf + 2761 470.744 * * [simplify]: Extracting #5: cost 107 inf + 17754 470.750 * * [simplify]: Extracting #6: cost 58 inf + 38158 470.765 * * [simplify]: Extracting #7: cost 7 inf + 69707 470.787 * * [simplify]: Extracting #8: cost 0 inf + 73732 470.816 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 470.816 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 470.817 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 470.817 * * [simplify]: iters left: 6 (20 enodes) 470.831 * * [simplify]: iters left: 5 (69 enodes) 470.853 * * [simplify]: iters left: 4 (91 enodes) 470.883 * * [simplify]: iters left: 3 (145 enodes) 470.935 * * [simplify]: iters left: 2 (220 enodes) 471.018 * * [simplify]: iters left: 1 (347 enodes) 471.139 * * [simplify]: Extracting #0: cost 1 inf + 0 471.139 * * [simplify]: Extracting #1: cost 30 inf + 0 471.139 * * [simplify]: Extracting #2: cost 60 inf + 1 471.139 * * [simplify]: Extracting #3: cost 68 inf + 1 471.139 * * [simplify]: Extracting #4: cost 72 inf + 63 471.140 * * [simplify]: Extracting #5: cost 55 inf + 1684 471.141 * * [simplify]: Extracting #6: cost 46 inf + 3479 471.142 * * [simplify]: Extracting #7: cost 32 inf + 8582 471.146 * * [simplify]: Extracting #8: cost 5 inf + 21011 471.153 * * [simplify]: Extracting #9: cost 0 inf + 23468 471.159 * [simplify]: Simplified to (* (/ (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) 471.159 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 471.159 * * * * [progress]: [ 813 / 2703 ] simplifiying candidate # 471.159 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 471.159 * * [simplify]: iters left: 6 (20 enodes) 471.164 * * [simplify]: iters left: 5 (71 enodes) 471.176 * * [simplify]: iters left: 4 (116 enodes) 471.198 * * [simplify]: iters left: 3 (231 enodes) 471.280 * * [simplify]: iters left: 2 (496 enodes) 471.571 * * [simplify]: Extracting #0: cost 1 inf + 0 471.571 * * [simplify]: Extracting #1: cost 72 inf + 0 471.572 * * [simplify]: Extracting #2: cost 147 inf + 0 471.572 * * [simplify]: Extracting #3: cost 154 inf + 0 471.573 * * [simplify]: Extracting #4: cost 141 inf + 2560 471.576 * * [simplify]: Extracting #5: cost 110 inf + 14761 471.579 * * [simplify]: Extracting #6: cost 83 inf + 23308 471.584 * * [simplify]: Extracting #7: cost 56 inf + 37781 471.602 * * [simplify]: Extracting #8: cost 2 inf + 68318 471.617 * * [simplify]: Extracting #9: cost 0 inf + 69585 471.635 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) 471.636 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 471.636 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 471.636 * * [simplify]: iters left: 6 (19 enodes) 471.646 * * [simplify]: iters left: 5 (66 enodes) 471.661 * * [simplify]: iters left: 4 (88 enodes) 471.676 * * [simplify]: iters left: 3 (142 enodes) 471.721 * * [simplify]: iters left: 2 (217 enodes) 471.772 * * [simplify]: iters left: 1 (345 enodes) 471.920 * * [simplify]: Extracting #0: cost 1 inf + 0 471.920 * * [simplify]: Extracting #1: cost 30 inf + 0 471.921 * * [simplify]: Extracting #2: cost 59 inf + 1 471.922 * * [simplify]: Extracting #3: cost 66 inf + 1 471.922 * * [simplify]: Extracting #4: cost 70 inf + 63 471.923 * * [simplify]: Extracting #5: cost 51 inf + 2170 471.926 * * [simplify]: Extracting #6: cost 30 inf + 8746 471.935 * * [simplify]: Extracting #7: cost 4 inf + 19731 471.947 * * [simplify]: Extracting #8: cost 0 inf + 21384 471.954 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 471.954 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 471.954 * * * * [progress]: [ 814 / 2703 ] simplifiying candidate # 471.955 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 471.955 * * [simplify]: iters left: 6 (15 enodes) 471.960 * * [simplify]: iters left: 5 (57 enodes) 471.973 * * [simplify]: iters left: 4 (90 enodes) 471.996 * * [simplify]: iters left: 3 (158 enodes) 472.048 * * [simplify]: iters left: 2 (281 enodes) 472.223 * * [simplify]: iters left: 1 (484 enodes) 472.516 * * [simplify]: Extracting #0: cost 1 inf + 0 472.516 * * [simplify]: Extracting #1: cost 37 inf + 0 472.516 * * [simplify]: Extracting #2: cost 70 inf + 1 472.517 * * [simplify]: Extracting #3: cost 75 inf + 1 472.517 * * [simplify]: Extracting #4: cost 65 inf + 791 472.520 * * [simplify]: Extracting #5: cost 31 inf + 10889 472.531 * * [simplify]: Extracting #6: cost 3 inf + 21624 472.544 * * [simplify]: Extracting #7: cost 0 inf + 22850 472.556 * * [simplify]: Extracting #8: cost 0 inf + 22810 472.568 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) 472.568 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 472.568 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 472.568 * * [simplify]: iters left: 6 (18 enodes) 472.577 * * [simplify]: iters left: 5 (63 enodes) 472.588 * * [simplify]: iters left: 4 (84 enodes) 472.603 * * [simplify]: iters left: 3 (120 enodes) 472.640 * * [simplify]: iters left: 2 (169 enodes) 472.714 * * [simplify]: iters left: 1 (264 enodes) 472.809 * * [simplify]: Extracting #0: cost 1 inf + 0 472.809 * * [simplify]: Extracting #1: cost 23 inf + 0 472.809 * * [simplify]: Extracting #2: cost 54 inf + 1 472.810 * * [simplify]: Extracting #3: cost 59 inf + 532 472.810 * * [simplify]: Extracting #4: cost 52 inf + 1529 472.812 * * [simplify]: Extracting #5: cost 23 inf + 8492 472.815 * * [simplify]: Extracting #6: cost 5 inf + 14943 472.820 * * [simplify]: Extracting #7: cost 0 inf + 16999 472.830 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) 472.830 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))))) 472.830 * * * * [progress]: [ 815 / 2703 ] simplifiying candidate # 472.831 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 472.831 * * [simplify]: iters left: 6 (20 enodes) 472.841 * * [simplify]: iters left: 5 (71 enodes) 472.853 * * [simplify]: iters left: 4 (116 enodes) 472.875 * * [simplify]: iters left: 3 (231 enodes) 472.966 * * [simplify]: iters left: 2 (496 enodes) 473.253 * * [simplify]: Extracting #0: cost 1 inf + 0 473.253 * * [simplify]: Extracting #1: cost 72 inf + 0 473.254 * * [simplify]: Extracting #2: cost 147 inf + 0 473.254 * * [simplify]: Extracting #3: cost 154 inf + 0 473.255 * * [simplify]: Extracting #4: cost 141 inf + 2560 473.257 * * [simplify]: Extracting #5: cost 110 inf + 14761 473.261 * * [simplify]: Extracting #6: cost 83 inf + 23308 473.271 * * [simplify]: Extracting #7: cost 56 inf + 37781 473.296 * * [simplify]: Extracting #8: cost 2 inf + 68318 473.326 * * [simplify]: Extracting #9: cost 0 inf + 69585 473.349 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) 473.349 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 473.350 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 473.350 * * [simplify]: iters left: 6 (19 enodes) 473.357 * * [simplify]: iters left: 5 (66 enodes) 473.368 * * [simplify]: iters left: 4 (88 enodes) 473.394 * * [simplify]: iters left: 3 (142 enodes) 473.444 * * [simplify]: iters left: 2 (217 enodes) 473.492 * * [simplify]: iters left: 1 (345 enodes) 473.654 * * [simplify]: Extracting #0: cost 1 inf + 0 473.654 * * [simplify]: Extracting #1: cost 30 inf + 0 473.655 * * [simplify]: Extracting #2: cost 59 inf + 1 473.655 * * [simplify]: Extracting #3: cost 66 inf + 1 473.656 * * [simplify]: Extracting #4: cost 70 inf + 63 473.657 * * [simplify]: Extracting #5: cost 51 inf + 2170 473.660 * * [simplify]: Extracting #6: cost 30 inf + 8746 473.665 * * [simplify]: Extracting #7: cost 4 inf + 19731 473.671 * * [simplify]: Extracting #8: cost 0 inf + 21384 473.677 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 473.677 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 473.678 * * * * [progress]: [ 816 / 2703 ] simplifiying candidate # 473.678 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) 1)) 473.678 * * [simplify]: iters left: 6 (14 enodes) 473.682 * * [simplify]: iters left: 5 (52 enodes) 473.691 * * [simplify]: iters left: 4 (87 enodes) 473.719 * * [simplify]: iters left: 3 (159 enodes) 473.791 * * [simplify]: iters left: 2 (293 enodes) 473.954 * * [simplify]: Extracting #0: cost 1 inf + 0 473.954 * * [simplify]: Extracting #1: cost 49 inf + 0 473.955 * * [simplify]: Extracting #2: cost 92 inf + 1 473.955 * * [simplify]: Extracting #3: cost 97 inf + 1 473.956 * * [simplify]: Extracting #4: cost 82 inf + 1939 473.958 * * [simplify]: Extracting #5: cost 33 inf + 19132 473.964 * * [simplify]: Extracting #6: cost 2 inf + 31358 473.970 * * [simplify]: Extracting #7: cost 0 inf + 32402 473.982 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 473.982 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 473.982 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 473.982 * * [simplify]: iters left: 6 (18 enodes) 473.989 * * [simplify]: iters left: 5 (63 enodes) 474.000 * * [simplify]: iters left: 4 (84 enodes) 474.031 * * [simplify]: iters left: 3 (120 enodes) 474.051 * * [simplify]: iters left: 2 (169 enodes) 474.115 * * [simplify]: iters left: 1 (264 enodes) 474.205 * * [simplify]: Extracting #0: cost 1 inf + 0 474.206 * * [simplify]: Extracting #1: cost 23 inf + 0 474.206 * * [simplify]: Extracting #2: cost 54 inf + 1 474.207 * * [simplify]: Extracting #3: cost 59 inf + 532 474.208 * * [simplify]: Extracting #4: cost 52 inf + 1529 474.211 * * [simplify]: Extracting #5: cost 23 inf + 8492 474.217 * * [simplify]: Extracting #6: cost 5 inf + 14943 474.224 * * [simplify]: Extracting #7: cost 0 inf + 16999 474.232 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) 474.232 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))))) 474.233 * * * * [progress]: [ 817 / 2703 ] simplifiying candidate # 474.233 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 474.233 * * [simplify]: iters left: 6 (21 enodes) 474.247 * * [simplify]: iters left: 5 (78 enodes) 474.272 * * [simplify]: iters left: 4 (127 enodes) 474.319 * * [simplify]: iters left: 3 (279 enodes) 474.488 * * [simplify]: Extracting #0: cost 1 inf + 0 474.488 * * [simplify]: Extracting #1: cost 80 inf + 0 474.489 * * [simplify]: Extracting #2: cost 156 inf + 1 474.491 * * [simplify]: Extracting #3: cost 162 inf + 1 474.493 * * [simplify]: Extracting #4: cost 149 inf + 2543 474.496 * * [simplify]: Extracting #5: cost 130 inf + 9351 474.500 * * [simplify]: Extracting #6: cost 126 inf + 9435 474.504 * * [simplify]: Extracting #7: cost 122 inf + 9801 474.511 * * [simplify]: Extracting #8: cost 96 inf + 22768 474.527 * * [simplify]: Extracting #9: cost 11 inf + 67292 474.544 * * [simplify]: Extracting #10: cost 0 inf + 73740 474.563 * * [simplify]: Extracting #11: cost 0 inf + 73700 474.584 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) 474.584 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 474.585 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 474.585 * * [simplify]: iters left: 6 (18 enodes) 474.594 * * [simplify]: iters left: 5 (63 enodes) 474.609 * * [simplify]: iters left: 4 (85 enodes) 474.625 * * [simplify]: iters left: 3 (139 enodes) 474.664 * * [simplify]: iters left: 2 (214 enodes) 474.729 * * [simplify]: iters left: 1 (342 enodes) 474.869 * * [simplify]: Extracting #0: cost 1 inf + 0 474.869 * * [simplify]: Extracting #1: cost 30 inf + 0 474.869 * * [simplify]: Extracting #2: cost 59 inf + 1 474.870 * * [simplify]: Extracting #3: cost 66 inf + 1 474.870 * * [simplify]: Extracting #4: cost 65 inf + 226 474.870 * * [simplify]: Extracting #5: cost 50 inf + 2067 474.872 * * [simplify]: Extracting #6: cost 29 inf + 8284 474.876 * * [simplify]: Extracting #7: cost 6 inf + 18804 474.889 * * [simplify]: Extracting #8: cost 0 inf + 21262 474.900 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 474.900 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 474.900 * * * * [progress]: [ 818 / 2703 ] simplifiying candidate # 474.900 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 474.901 * * [simplify]: iters left: 6 (21 enodes) 474.913 * * [simplify]: iters left: 5 (77 enodes) 474.926 * * [simplify]: iters left: 4 (115 enodes) 474.946 * * [simplify]: iters left: 3 (196 enodes) 475.013 * * [simplify]: iters left: 2 (373 enodes) 475.233 * * [simplify]: Extracting #0: cost 1 inf + 0 475.233 * * [simplify]: Extracting #1: cost 41 inf + 0 475.234 * * [simplify]: Extracting #2: cost 80 inf + 1 475.234 * * [simplify]: Extracting #3: cost 87 inf + 1 475.235 * * [simplify]: Extracting #4: cost 82 inf + 549 475.236 * * [simplify]: Extracting #5: cost 59 inf + 8118 475.240 * * [simplify]: Extracting #6: cost 29 inf + 18134 475.248 * * [simplify]: Extracting #7: cost 3 inf + 29781 475.255 * * [simplify]: Extracting #8: cost 0 inf + 31312 475.263 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 475.263 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 475.264 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 475.264 * * [simplify]: iters left: 6 (19 enodes) 475.274 * * [simplify]: iters left: 5 (66 enodes) 475.295 * * [simplify]: iters left: 4 (88 enodes) 475.324 * * [simplify]: iters left: 3 (142 enodes) 475.377 * * [simplify]: iters left: 2 (217 enodes) 475.442 * * [simplify]: iters left: 1 (346 enodes) 475.602 * * [simplify]: Extracting #0: cost 1 inf + 0 475.603 * * [simplify]: Extracting #1: cost 30 inf + 0 475.603 * * [simplify]: Extracting #2: cost 60 inf + 1 475.604 * * [simplify]: Extracting #3: cost 68 inf + 1 475.604 * * [simplify]: Extracting #4: cost 67 inf + 146 475.605 * * [simplify]: Extracting #5: cost 57 inf + 917 475.607 * * [simplify]: Extracting #6: cost 45 inf + 3521 475.610 * * [simplify]: Extracting #7: cost 33 inf + 7418 475.617 * * [simplify]: Extracting #8: cost 4 inf + 20414 475.629 * * [simplify]: Extracting #9: cost 0 inf + 22146 475.641 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2)))) 475.641 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2)))))) 475.641 * * * * [progress]: [ 819 / 2703 ] simplifiying candidate # 475.642 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 475.642 * * [simplify]: iters left: 6 (20 enodes) 475.653 * * [simplify]: iters left: 5 (73 enodes) 475.677 * * [simplify]: iters left: 4 (111 enodes) 475.712 * * [simplify]: iters left: 3 (190 enodes) 475.765 * * [simplify]: iters left: 2 (368 enodes) 475.953 * * [simplify]: Extracting #0: cost 1 inf + 0 475.953 * * [simplify]: Extracting #1: cost 41 inf + 0 475.954 * * [simplify]: Extracting #2: cost 78 inf + 1 475.954 * * [simplify]: Extracting #3: cost 84 inf + 1 475.954 * * [simplify]: Extracting #4: cost 81 inf + 387 475.955 * * [simplify]: Extracting #5: cost 59 inf + 7131 475.957 * * [simplify]: Extracting #6: cost 45 inf + 10819 475.959 * * [simplify]: Extracting #7: cost 41 inf + 11064 475.961 * * [simplify]: Extracting #8: cost 34 inf + 12821 475.970 * * [simplify]: Extracting #9: cost 6 inf + 26184 475.983 * * [simplify]: Extracting #10: cost 0 inf + 29005 475.991 * [simplify]: Simplified to (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 475.991 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 475.991 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 475.991 * * [simplify]: iters left: 6 (18 enodes) 475.996 * * [simplify]: iters left: 5 (63 enodes) 476.008 * * [simplify]: iters left: 4 (85 enodes) 476.029 * * [simplify]: iters left: 3 (139 enodes) 476.066 * * [simplify]: iters left: 2 (214 enodes) 476.123 * * [simplify]: iters left: 1 (342 enodes) 476.261 * * [simplify]: Extracting #0: cost 1 inf + 0 476.261 * * [simplify]: Extracting #1: cost 30 inf + 0 476.262 * * [simplify]: Extracting #2: cost 59 inf + 1 476.263 * * [simplify]: Extracting #3: cost 66 inf + 1 476.263 * * [simplify]: Extracting #4: cost 65 inf + 226 476.264 * * [simplify]: Extracting #5: cost 50 inf + 2067 476.267 * * [simplify]: Extracting #6: cost 29 inf + 8084 476.276 * * [simplify]: Extracting #7: cost 6 inf + 17844 476.287 * * [simplify]: Extracting #8: cost 0 inf + 20062 476.292 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 476.292 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 476.293 * * * * [progress]: [ 820 / 2703 ] simplifiying candidate # 476.293 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt 1) (sqrt 1))) 476.293 * * [simplify]: iters left: 6 (14 enodes) 476.301 * * [simplify]: iters left: 5 (54 enodes) 476.310 * * [simplify]: iters left: 4 (77 enodes) 476.330 * * [simplify]: iters left: 3 (107 enodes) 476.355 * * [simplify]: iters left: 2 (157 enodes) 476.424 * * [simplify]: iters left: 1 (238 enodes) 476.545 * * [simplify]: Extracting #0: cost 1 inf + 0 476.545 * * [simplify]: Extracting #1: cost 19 inf + 0 476.545 * * [simplify]: Extracting #2: cost 35 inf + 1 476.545 * * [simplify]: Extracting #3: cost 39 inf + 1 476.545 * * [simplify]: Extracting #4: cost 35 inf + 105 476.546 * * [simplify]: Extracting #5: cost 14 inf + 4698 476.548 * * [simplify]: Extracting #6: cost 1 inf + 8304 476.551 * * [simplify]: Extracting #7: cost 0 inf + 8646 476.553 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 476.553 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 476.553 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 476.554 * * [simplify]: iters left: 6 (17 enodes) 476.558 * * [simplify]: iters left: 5 (60 enodes) 476.573 * * [simplify]: iters left: 4 (81 enodes) 476.601 * * [simplify]: iters left: 3 (117 enodes) 476.643 * * [simplify]: iters left: 2 (166 enodes) 476.687 * * [simplify]: iters left: 1 (261 enodes) 476.780 * * [simplify]: Extracting #0: cost 1 inf + 0 476.780 * * [simplify]: Extracting #1: cost 23 inf + 0 476.780 * * [simplify]: Extracting #2: cost 54 inf + 1 476.780 * * [simplify]: Extracting #3: cost 60 inf + 369 476.781 * * [simplify]: Extracting #4: cost 42 inf + 2783 476.783 * * [simplify]: Extracting #5: cost 8 inf + 13094 476.787 * * [simplify]: Extracting #6: cost 0 inf + 15717 476.790 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 476.790 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 476.790 * * * * [progress]: [ 821 / 2703 ] simplifiying candidate # 476.791 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 476.791 * * [simplify]: iters left: 6 (20 enodes) 476.797 * * [simplify]: iters left: 5 (73 enodes) 476.812 * * [simplify]: iters left: 4 (111 enodes) 476.847 * * [simplify]: iters left: 3 (190 enodes) 476.922 * * [simplify]: iters left: 2 (368 enodes) 477.092 * * [simplify]: Extracting #0: cost 1 inf + 0 477.092 * * [simplify]: Extracting #1: cost 41 inf + 0 477.092 * * [simplify]: Extracting #2: cost 78 inf + 1 477.093 * * [simplify]: Extracting #3: cost 84 inf + 1 477.093 * * [simplify]: Extracting #4: cost 81 inf + 387 477.094 * * [simplify]: Extracting #5: cost 59 inf + 7131 477.096 * * [simplify]: Extracting #6: cost 45 inf + 10819 477.098 * * [simplify]: Extracting #7: cost 41 inf + 11064 477.102 * * [simplify]: Extracting #8: cost 34 inf + 12821 477.111 * * [simplify]: Extracting #9: cost 6 inf + 26184 477.125 * * [simplify]: Extracting #10: cost 0 inf + 29005 477.139 * [simplify]: Simplified to (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 477.140 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 477.140 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 477.140 * * [simplify]: iters left: 6 (18 enodes) 477.149 * * [simplify]: iters left: 5 (63 enodes) 477.172 * * [simplify]: iters left: 4 (85 enodes) 477.197 * * [simplify]: iters left: 3 (139 enodes) 477.223 * * [simplify]: iters left: 2 (214 enodes) 477.284 * * [simplify]: iters left: 1 (342 enodes) 477.427 * * [simplify]: Extracting #0: cost 1 inf + 0 477.427 * * [simplify]: Extracting #1: cost 30 inf + 0 477.428 * * [simplify]: Extracting #2: cost 59 inf + 1 477.429 * * [simplify]: Extracting #3: cost 66 inf + 1 477.429 * * [simplify]: Extracting #4: cost 65 inf + 226 477.430 * * [simplify]: Extracting #5: cost 50 inf + 2067 477.434 * * [simplify]: Extracting #6: cost 29 inf + 8084 477.442 * * [simplify]: Extracting #7: cost 6 inf + 17844 477.453 * * [simplify]: Extracting #8: cost 0 inf + 20062 477.464 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 477.464 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 477.465 * * * * [progress]: [ 822 / 2703 ] simplifiying candidate # 477.465 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt 1) 1)) 477.465 * * [simplify]: iters left: 6 (13 enodes) 477.474 * * [simplify]: iters left: 5 (49 enodes) 477.487 * * [simplify]: iters left: 4 (72 enodes) 477.499 * * [simplify]: iters left: 3 (100 enodes) 477.521 * * [simplify]: iters left: 2 (146 enodes) 477.578 * * [simplify]: iters left: 1 (222 enodes) 477.700 * * [simplify]: Extracting #0: cost 1 inf + 0 477.700 * * [simplify]: Extracting #1: cost 18 inf + 0 477.700 * * [simplify]: Extracting #2: cost 34 inf + 1 477.700 * * [simplify]: Extracting #3: cost 38 inf + 1 477.701 * * [simplify]: Extracting #4: cost 32 inf + 207 477.702 * * [simplify]: Extracting #5: cost 10 inf + 5243 477.704 * * [simplify]: Extracting #6: cost 0 inf + 8263 477.706 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 477.706 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 477.706 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 477.707 * * [simplify]: iters left: 6 (17 enodes) 477.711 * * [simplify]: iters left: 5 (60 enodes) 477.727 * * [simplify]: iters left: 4 (81 enodes) 477.754 * * [simplify]: iters left: 3 (117 enodes) 477.776 * * [simplify]: iters left: 2 (166 enodes) 477.836 * * [simplify]: iters left: 1 (261 enodes) 477.931 * * [simplify]: Extracting #0: cost 1 inf + 0 477.932 * * [simplify]: Extracting #1: cost 23 inf + 0 477.932 * * [simplify]: Extracting #2: cost 54 inf + 1 477.932 * * [simplify]: Extracting #3: cost 60 inf + 369 477.933 * * [simplify]: Extracting #4: cost 42 inf + 2783 477.935 * * [simplify]: Extracting #5: cost 8 inf + 13094 477.939 * * [simplify]: Extracting #6: cost 0 inf + 15717 477.942 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 477.942 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 477.942 * * * * [progress]: [ 823 / 2703 ] simplifiying candidate # 477.943 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 477.943 * * [simplify]: iters left: 6 (21 enodes) 477.948 * * [simplify]: iters left: 5 (80 enodes) 477.965 * * [simplify]: iters left: 4 (161 enodes) 478.019 * * [simplify]: iters left: 3 (471 enodes) 478.419 * * [simplify]: Extracting #0: cost 1 inf + 0 478.419 * * [simplify]: Extracting #1: cost 169 inf + 0 478.421 * * [simplify]: Extracting #2: cost 387 inf + 0 478.423 * * [simplify]: Extracting #3: cost 394 inf + 0 478.426 * * [simplify]: Extracting #4: cost 353 inf + 13247 478.432 * * [simplify]: Extracting #5: cost 299 inf + 37858 478.439 * * [simplify]: Extracting #6: cost 287 inf + 39497 478.462 * * [simplify]: Extracting #7: cost 190 inf + 101220 478.511 * * [simplify]: Extracting #8: cost 14 inf + 221365 478.569 * * [simplify]: Extracting #9: cost 0 inf + 230739 478.639 * * [simplify]: Extracting #10: cost 0 inf + 230659 478.730 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 478.730 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 478.731 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 478.731 * * [simplify]: iters left: 6 (19 enodes) 478.737 * * [simplify]: iters left: 5 (66 enodes) 478.749 * * [simplify]: iters left: 4 (88 enodes) 478.767 * * [simplify]: iters left: 3 (142 enodes) 478.817 * * [simplify]: iters left: 2 (217 enodes) 478.911 * * [simplify]: iters left: 1 (345 enodes) 479.537 * * [simplify]: Extracting #0: cost 1 inf + 0 479.537 * * [simplify]: Extracting #1: cost 30 inf + 0 479.537 * * [simplify]: Extracting #2: cost 59 inf + 1 479.538 * * [simplify]: Extracting #3: cost 66 inf + 1 479.538 * * [simplify]: Extracting #4: cost 70 inf + 63 479.539 * * [simplify]: Extracting #5: cost 51 inf + 2330 479.543 * * [simplify]: Extracting #6: cost 30 inf + 9506 479.551 * * [simplify]: Extracting #7: cost 4 inf + 21931 479.563 * * [simplify]: Extracting #8: cost 0 inf + 23824 479.575 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 479.575 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 479.575 * * * * [progress]: [ 824 / 2703 ] simplifiying candidate # 479.576 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 479.576 * * [simplify]: iters left: 6 (21 enodes) 479.586 * * [simplify]: iters left: 5 (77 enodes) 479.611 * * [simplify]: iters left: 4 (133 enodes) 479.664 * * [simplify]: iters left: 3 (323 enodes) 479.856 * * [simplify]: Extracting #0: cost 1 inf + 0 479.856 * * [simplify]: Extracting #1: cost 116 inf + 0 479.858 * * [simplify]: Extracting #2: cost 223 inf + 0 479.860 * * [simplify]: Extracting #3: cost 230 inf + 0 479.863 * * [simplify]: Extracting #4: cost 197 inf + 11080 479.872 * * [simplify]: Extracting #5: cost 142 inf + 34445 479.886 * * [simplify]: Extracting #6: cost 111 inf + 46540 479.920 * * [simplify]: Extracting #7: cost 22 inf + 104066 479.968 * * [simplify]: Extracting #8: cost 0 inf + 118809 479.992 * [simplify]: Simplified to (* (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 479.992 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 479.993 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 479.993 * * [simplify]: iters left: 6 (20 enodes) 479.998 * * [simplify]: iters left: 5 (69 enodes) 480.009 * * [simplify]: iters left: 4 (91 enodes) 480.028 * * [simplify]: iters left: 3 (145 enodes) 480.083 * * [simplify]: iters left: 2 (220 enodes) 480.152 * * [simplify]: iters left: 1 (347 enodes) 480.282 * * [simplify]: Extracting #0: cost 1 inf + 0 480.282 * * [simplify]: Extracting #1: cost 30 inf + 0 480.282 * * [simplify]: Extracting #2: cost 60 inf + 1 480.282 * * [simplify]: Extracting #3: cost 68 inf + 1 480.283 * * [simplify]: Extracting #4: cost 72 inf + 63 480.283 * * [simplify]: Extracting #5: cost 55 inf + 1804 480.284 * * [simplify]: Extracting #6: cost 46 inf + 3799 480.285 * * [simplify]: Extracting #7: cost 32 inf + 9142 480.289 * * [simplify]: Extracting #8: cost 5 inf + 22131 480.296 * * [simplify]: Extracting #9: cost 0 inf + 24708 480.302 * [simplify]: Simplified to (* (/ (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) 480.302 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 480.302 * * * * [progress]: [ 825 / 2703 ] simplifiying candidate # 480.302 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 480.303 * * [simplify]: iters left: 6 (20 enodes) 480.308 * * [simplify]: iters left: 5 (73 enodes) 480.322 * * [simplify]: iters left: 4 (129 enodes) 480.347 * * [simplify]: iters left: 3 (319 enodes) 480.527 * * [simplify]: Extracting #0: cost 1 inf + 0 480.528 * * [simplify]: Extracting #1: cost 116 inf + 0 480.529 * * [simplify]: Extracting #2: cost 222 inf + 0 480.529 * * [simplify]: Extracting #3: cost 228 inf + 0 480.531 * * [simplify]: Extracting #4: cost 198 inf + 9249 480.536 * * [simplify]: Extracting #5: cost 140 inf + 34584 480.544 * * [simplify]: Extracting #6: cost 123 inf + 38572 480.551 * * [simplify]: Extracting #7: cost 105 inf + 48133 480.584 * * [simplify]: Extracting #8: cost 20 inf + 100249 480.629 * * [simplify]: Extracting #9: cost 0 inf + 113325 480.660 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) 480.660 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 480.660 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 480.660 * * [simplify]: iters left: 6 (19 enodes) 480.666 * * [simplify]: iters left: 5 (66 enodes) 480.678 * * [simplify]: iters left: 4 (88 enodes) 480.699 * * [simplify]: iters left: 3 (142 enodes) 480.734 * * [simplify]: iters left: 2 (217 enodes) 480.824 * * [simplify]: iters left: 1 (345 enodes) 480.943 * * [simplify]: Extracting #0: cost 1 inf + 0 480.944 * * [simplify]: Extracting #1: cost 30 inf + 0 480.944 * * [simplify]: Extracting #2: cost 59 inf + 1 480.945 * * [simplify]: Extracting #3: cost 66 inf + 1 480.945 * * [simplify]: Extracting #4: cost 70 inf + 63 480.946 * * [simplify]: Extracting #5: cost 51 inf + 2330 480.948 * * [simplify]: Extracting #6: cost 30 inf + 9386 480.952 * * [simplify]: Extracting #7: cost 4 inf + 20891 480.958 * * [simplify]: Extracting #8: cost 0 inf + 22624 480.964 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 480.964 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 480.964 * * * * [progress]: [ 826 / 2703 ] simplifiying candidate # 480.965 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 480.965 * * [simplify]: iters left: 6 (15 enodes) 480.970 * * [simplify]: iters left: 5 (59 enodes) 480.985 * * [simplify]: iters left: 4 (103 enodes) 481.008 * * [simplify]: iters left: 3 (239 enodes) 481.124 * * [simplify]: Extracting #0: cost 1 inf + 0 481.125 * * [simplify]: Extracting #1: cost 73 inf + 0 481.125 * * [simplify]: Extracting #2: cost 126 inf + 1 481.126 * * [simplify]: Extracting #3: cost 131 inf + 1 481.128 * * [simplify]: Extracting #4: cost 118 inf + 2037 481.133 * * [simplify]: Extracting #5: cost 59 inf + 22985 481.141 * * [simplify]: Extracting #6: cost 2 inf + 46888 481.150 * * [simplify]: Extracting #7: cost 0 inf + 47612 481.158 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) 481.158 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 481.159 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 481.159 * * [simplify]: iters left: 6 (18 enodes) 481.164 * * [simplify]: iters left: 5 (63 enodes) 481.184 * * [simplify]: iters left: 4 (84 enodes) 481.208 * * [simplify]: iters left: 3 (120 enodes) 481.235 * * [simplify]: iters left: 2 (169 enodes) 481.281 * * [simplify]: iters left: 1 (264 enodes) 481.352 * * [simplify]: Extracting #0: cost 1 inf + 0 481.352 * * [simplify]: Extracting #1: cost 23 inf + 0 481.352 * * [simplify]: Extracting #2: cost 54 inf + 1 481.353 * * [simplify]: Extracting #3: cost 59 inf + 532 481.353 * * [simplify]: Extracting #4: cost 52 inf + 1529 481.355 * * [simplify]: Extracting #5: cost 23 inf + 8892 481.358 * * [simplify]: Extracting #6: cost 5 inf + 15943 481.362 * * [simplify]: Extracting #7: cost 0 inf + 18199 481.370 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) 481.370 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))))) 481.370 * * * * [progress]: [ 827 / 2703 ] simplifiying candidate # 481.371 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 481.371 * * [simplify]: iters left: 6 (20 enodes) 481.381 * * [simplify]: iters left: 5 (73 enodes) 481.405 * * [simplify]: iters left: 4 (129 enodes) 481.435 * * [simplify]: iters left: 3 (319 enodes) 481.629 * * [simplify]: Extracting #0: cost 1 inf + 0 481.629 * * [simplify]: Extracting #1: cost 116 inf + 0 481.631 * * [simplify]: Extracting #2: cost 222 inf + 0 481.633 * * [simplify]: Extracting #3: cost 228 inf + 0 481.636 * * [simplify]: Extracting #4: cost 198 inf + 9249 481.646 * * [simplify]: Extracting #5: cost 140 inf + 34584 481.657 * * [simplify]: Extracting #6: cost 123 inf + 38572 481.672 * * [simplify]: Extracting #7: cost 105 inf + 48133 481.707 * * [simplify]: Extracting #8: cost 20 inf + 100249 481.754 * * [simplify]: Extracting #9: cost 0 inf + 113325 481.779 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) 481.779 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 481.779 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 481.779 * * [simplify]: iters left: 6 (19 enodes) 481.784 * * [simplify]: iters left: 5 (66 enodes) 481.795 * * [simplify]: iters left: 4 (88 enodes) 481.819 * * [simplify]: iters left: 3 (142 enodes) 481.847 * * [simplify]: iters left: 2 (217 enodes) 481.893 * * [simplify]: iters left: 1 (345 enodes) 482.053 * * [simplify]: Extracting #0: cost 1 inf + 0 482.053 * * [simplify]: Extracting #1: cost 30 inf + 0 482.053 * * [simplify]: Extracting #2: cost 59 inf + 1 482.054 * * [simplify]: Extracting #3: cost 66 inf + 1 482.055 * * [simplify]: Extracting #4: cost 70 inf + 63 482.056 * * [simplify]: Extracting #5: cost 51 inf + 2330 482.059 * * [simplify]: Extracting #6: cost 30 inf + 9386 482.067 * * [simplify]: Extracting #7: cost 4 inf + 20891 482.079 * * [simplify]: Extracting #8: cost 0 inf + 22624 482.091 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 482.091 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 482.091 * * * * [progress]: [ 828 / 2703 ] simplifiying candidate # 482.092 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 482.092 * * [simplify]: iters left: 6 (14 enodes) 482.099 * * [simplify]: iters left: 5 (54 enodes) 482.123 * * [simplify]: iters left: 4 (108 enodes) 482.169 * * [simplify]: iters left: 3 (266 enodes) 482.331 * * [simplify]: Extracting #0: cost 1 inf + 0 482.332 * * [simplify]: Extracting #1: cost 74 inf + 0 482.333 * * [simplify]: Extracting #2: cost 138 inf + 1 482.334 * * [simplify]: Extracting #3: cost 143 inf + 1 482.335 * * [simplify]: Extracting #4: cost 131 inf + 1655 482.342 * * [simplify]: Extracting #5: cost 63 inf + 26126 482.358 * * [simplify]: Extracting #6: cost 2 inf + 51140 482.377 * * [simplify]: Extracting #7: cost 0 inf + 51945 482.396 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) 482.396 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 482.397 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 482.397 * * [simplify]: iters left: 6 (18 enodes) 482.406 * * [simplify]: iters left: 5 (63 enodes) 482.425 * * [simplify]: iters left: 4 (84 enodes) 482.450 * * [simplify]: iters left: 3 (120 enodes) 482.471 * * [simplify]: iters left: 2 (169 enodes) 482.546 * * [simplify]: iters left: 1 (264 enodes) 482.627 * * [simplify]: Extracting #0: cost 1 inf + 0 482.628 * * [simplify]: Extracting #1: cost 23 inf + 0 482.628 * * [simplify]: Extracting #2: cost 54 inf + 1 482.628 * * [simplify]: Extracting #3: cost 59 inf + 532 482.630 * * [simplify]: Extracting #4: cost 52 inf + 1529 482.631 * * [simplify]: Extracting #5: cost 23 inf + 8892 482.635 * * [simplify]: Extracting #6: cost 5 inf + 15943 482.639 * * [simplify]: Extracting #7: cost 0 inf + 18199 482.643 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) 482.643 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))))) 482.643 * * * * [progress]: [ 829 / 2703 ] simplifiying candidate # 482.643 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 482.643 * * [simplify]: iters left: 6 (20 enodes) 482.648 * * [simplify]: iters left: 5 (73 enodes) 482.666 * * [simplify]: iters left: 4 (126 enodes) 482.714 * * [simplify]: iters left: 3 (284 enodes) 482.856 * * [simplify]: Extracting #0: cost 1 inf + 0 482.856 * * [simplify]: Extracting #1: cost 95 inf + 0 482.857 * * [simplify]: Extracting #2: cost 198 inf + 0 482.858 * * [simplify]: Extracting #3: cost 204 inf + 0 482.859 * * [simplify]: Extracting #4: cost 178 inf + 6722 482.862 * * [simplify]: Extracting #5: cost 149 inf + 18744 482.869 * * [simplify]: Extracting #6: cost 145 inf + 19049 482.876 * * [simplify]: Extracting #7: cost 130 inf + 24288 482.891 * * [simplify]: Extracting #8: cost 44 inf + 76503 482.916 * * [simplify]: Extracting #9: cost 0 inf + 103848 482.957 * * [simplify]: Extracting #10: cost 0 inf + 103648 482.998 * * [simplify]: Extracting #11: cost 0 inf + 103608 483.029 * [simplify]: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) 483.029 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 483.029 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 483.029 * * [simplify]: iters left: 6 (19 enodes) 483.034 * * [simplify]: iters left: 5 (66 enodes) 483.048 * * [simplify]: iters left: 4 (88 enodes) 483.064 * * [simplify]: iters left: 3 (142 enodes) 483.100 * * [simplify]: iters left: 2 (217 enodes) 483.153 * * [simplify]: iters left: 1 (345 enodes) 483.291 * * [simplify]: Extracting #0: cost 1 inf + 0 483.291 * * [simplify]: Extracting #1: cost 30 inf + 0 483.291 * * [simplify]: Extracting #2: cost 59 inf + 1 483.292 * * [simplify]: Extracting #3: cost 66 inf + 1 483.293 * * [simplify]: Extracting #4: cost 70 inf + 63 483.294 * * [simplify]: Extracting #5: cost 51 inf + 2210 483.296 * * [simplify]: Extracting #6: cost 30 inf + 8946 483.305 * * [simplify]: Extracting #7: cost 4 inf + 20851 483.317 * * [simplify]: Extracting #8: cost 0 inf + 22664 483.328 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 483.328 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 483.329 * * * * [progress]: [ 830 / 2703 ] simplifiying candidate # 483.329 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 483.329 * * [simplify]: iters left: 6 (20 enodes) 483.339 * * [simplify]: iters left: 5 (72 enodes) 483.363 * * [simplify]: iters left: 4 (117 enodes) 483.399 * * [simplify]: iters left: 3 (232 enodes) 483.484 * * [simplify]: iters left: 2 (496 enodes) 483.797 * * [simplify]: Extracting #0: cost 1 inf + 0 483.797 * * [simplify]: Extracting #1: cost 71 inf + 0 483.798 * * [simplify]: Extracting #2: cost 147 inf + 0 483.799 * * [simplify]: Extracting #3: cost 154 inf + 0 483.801 * * [simplify]: Extracting #4: cost 138 inf + 3826 483.805 * * [simplify]: Extracting #5: cost 107 inf + 15890 483.812 * * [simplify]: Extracting #6: cost 88 inf + 20660 483.824 * * [simplify]: Extracting #7: cost 57 inf + 36724 483.851 * * [simplify]: Extracting #8: cost 0 inf + 68627 483.881 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 483.881 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 483.881 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 483.881 * * [simplify]: iters left: 6 (20 enodes) 483.886 * * [simplify]: iters left: 5 (69 enodes) 483.897 * * [simplify]: iters left: 4 (91 enodes) 483.913 * * [simplify]: iters left: 3 (145 enodes) 483.945 * * [simplify]: iters left: 2 (220 enodes) 484.040 * * [simplify]: iters left: 1 (347 enodes) 484.191 * * [simplify]: Extracting #0: cost 1 inf + 0 484.191 * * [simplify]: Extracting #1: cost 30 inf + 0 484.192 * * [simplify]: Extracting #2: cost 60 inf + 1 484.192 * * [simplify]: Extracting #3: cost 68 inf + 1 484.193 * * [simplify]: Extracting #4: cost 72 inf + 63 484.193 * * [simplify]: Extracting #5: cost 55 inf + 1724 484.195 * * [simplify]: Extracting #6: cost 46 inf + 3559 484.198 * * [simplify]: Extracting #7: cost 32 inf + 8662 484.207 * * [simplify]: Extracting #8: cost 5 inf + 21091 484.219 * * [simplify]: Extracting #9: cost 0 inf + 23548 484.231 * [simplify]: Simplified to (* (/ (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) 484.231 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) 484.231 * * * * [progress]: [ 831 / 2703 ] simplifiying candidate # 484.232 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 484.232 * * [simplify]: iters left: 6 (19 enodes) 484.241 * * [simplify]: iters left: 5 (68 enodes) 484.263 * * [simplify]: iters left: 4 (113 enodes) 484.307 * * [simplify]: iters left: 3 (226 enodes) 484.427 * * [simplify]: iters left: 2 (485 enodes) 484.688 * * [simplify]: Extracting #0: cost 1 inf + 0 484.688 * * [simplify]: Extracting #1: cost 73 inf + 0 484.689 * * [simplify]: Extracting #2: cost 148 inf + 0 484.690 * * [simplify]: Extracting #3: cost 154 inf + 0 484.691 * * [simplify]: Extracting #4: cost 146 inf + 1814 484.693 * * [simplify]: Extracting #5: cost 116 inf + 12111 484.696 * * [simplify]: Extracting #6: cost 89 inf + 20619 484.702 * * [simplify]: Extracting #7: cost 86 inf + 20904 484.714 * * [simplify]: Extracting #8: cost 57 inf + 35646 484.738 * * [simplify]: Extracting #9: cost 3 inf + 64139 484.753 * * [simplify]: Extracting #10: cost 0 inf + 65790 484.774 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 484.774 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 484.775 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 484.775 * * [simplify]: iters left: 6 (19 enodes) 484.781 * * [simplify]: iters left: 5 (66 enodes) 484.792 * * [simplify]: iters left: 4 (88 enodes) 484.808 * * [simplify]: iters left: 3 (142 enodes) 484.835 * * [simplify]: iters left: 2 (217 enodes) 484.889 * * [simplify]: iters left: 1 (345 enodes) 485.046 * * [simplify]: Extracting #0: cost 1 inf + 0 485.047 * * [simplify]: Extracting #1: cost 30 inf + 0 485.047 * * [simplify]: Extracting #2: cost 59 inf + 1 485.048 * * [simplify]: Extracting #3: cost 66 inf + 1 485.048 * * [simplify]: Extracting #4: cost 70 inf + 63 485.049 * * [simplify]: Extracting #5: cost 51 inf + 2210 485.051 * * [simplify]: Extracting #6: cost 30 inf + 8826 485.056 * * [simplify]: Extracting #7: cost 4 inf + 19811 485.062 * * [simplify]: Extracting #8: cost 0 inf + 21464 485.069 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 485.070 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 485.070 * * * * [progress]: [ 832 / 2703 ] simplifiying candidate # 485.070 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 485.070 * * [simplify]: iters left: 6 (14 enodes) 485.075 * * [simplify]: iters left: 5 (54 enodes) 485.090 * * [simplify]: iters left: 4 (87 enodes) 485.118 * * [simplify]: iters left: 3 (155 enodes) 485.187 * * [simplify]: iters left: 2 (279 enodes) 485.331 * * [simplify]: iters left: 1 (484 enodes) 485.713 * * [simplify]: Extracting #0: cost 1 inf + 0 485.713 * * [simplify]: Extracting #1: cost 37 inf + 0 485.714 * * [simplify]: Extracting #2: cost 72 inf + 1 485.714 * * [simplify]: Extracting #3: cost 76 inf + 1 485.714 * * [simplify]: Extracting #4: cost 68 inf + 670 485.716 * * [simplify]: Extracting #5: cost 33 inf + 10674 485.725 * * [simplify]: Extracting #6: cost 2 inf + 20954 485.737 * * [simplify]: Extracting #7: cost 0 inf + 21758 485.743 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) 485.743 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 485.743 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 485.744 * * [simplify]: iters left: 6 (18 enodes) 485.748 * * [simplify]: iters left: 5 (63 enodes) 485.761 * * [simplify]: iters left: 4 (84 enodes) 485.783 * * [simplify]: iters left: 3 (120 enodes) 485.806 * * [simplify]: iters left: 2 (169 enodes) 485.862 * * [simplify]: iters left: 1 (264 enodes) 485.933 * * [simplify]: Extracting #0: cost 1 inf + 0 485.934 * * [simplify]: Extracting #1: cost 23 inf + 0 485.934 * * [simplify]: Extracting #2: cost 54 inf + 1 485.935 * * [simplify]: Extracting #3: cost 59 inf + 532 485.936 * * [simplify]: Extracting #4: cost 52 inf + 1529 485.939 * * [simplify]: Extracting #5: cost 23 inf + 8532 485.945 * * [simplify]: Extracting #6: cost 5 inf + 15023 485.954 * * [simplify]: Extracting #7: cost 0 inf + 17079 485.961 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) 485.961 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))))) 485.962 * * * * [progress]: [ 833 / 2703 ] simplifiying candidate # 485.962 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 485.962 * * [simplify]: iters left: 6 (19 enodes) 485.971 * * [simplify]: iters left: 5 (68 enodes) 485.993 * * [simplify]: iters left: 4 (113 enodes) 486.033 * * [simplify]: iters left: 3 (226 enodes) 486.158 * * [simplify]: iters left: 2 (485 enodes) 486.423 * * [simplify]: Extracting #0: cost 1 inf + 0 486.423 * * [simplify]: Extracting #1: cost 73 inf + 0 486.424 * * [simplify]: Extracting #2: cost 148 inf + 0 486.425 * * [simplify]: Extracting #3: cost 154 inf + 0 486.426 * * [simplify]: Extracting #4: cost 146 inf + 1814 486.428 * * [simplify]: Extracting #5: cost 116 inf + 12111 486.431 * * [simplify]: Extracting #6: cost 89 inf + 20619 486.434 * * [simplify]: Extracting #7: cost 86 inf + 20904 486.441 * * [simplify]: Extracting #8: cost 57 inf + 35646 486.456 * * [simplify]: Extracting #9: cost 3 inf + 64139 486.473 * * [simplify]: Extracting #10: cost 0 inf + 65790 486.500 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 486.501 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 486.501 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 486.501 * * [simplify]: iters left: 6 (19 enodes) 486.511 * * [simplify]: iters left: 5 (66 enodes) 486.531 * * [simplify]: iters left: 4 (88 enodes) 486.546 * * [simplify]: iters left: 3 (142 enodes) 486.583 * * [simplify]: iters left: 2 (217 enodes) 486.674 * * [simplify]: iters left: 1 (345 enodes) 486.806 * * [simplify]: Extracting #0: cost 1 inf + 0 486.806 * * [simplify]: Extracting #1: cost 30 inf + 0 486.807 * * [simplify]: Extracting #2: cost 59 inf + 1 486.807 * * [simplify]: Extracting #3: cost 66 inf + 1 486.808 * * [simplify]: Extracting #4: cost 70 inf + 63 486.809 * * [simplify]: Extracting #5: cost 51 inf + 2210 486.812 * * [simplify]: Extracting #6: cost 30 inf + 8826 486.821 * * [simplify]: Extracting #7: cost 4 inf + 19811 486.832 * * [simplify]: Extracting #8: cost 0 inf + 21464 486.845 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) 486.845 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 486.845 * * * * [progress]: [ 834 / 2703 ] simplifiying candidate # 486.845 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) 1)) 486.846 * * [simplify]: iters left: 6 (13 enodes) 486.853 * * [simplify]: iters left: 5 (49 enodes) 486.870 * * [simplify]: iters left: 4 (84 enodes) 486.904 * * [simplify]: iters left: 3 (156 enodes) 486.961 * * [simplify]: iters left: 2 (290 enodes) 487.102 * * [simplify]: iters left: 1 (496 enodes) 487.472 * * [simplify]: Extracting #0: cost 1 inf + 0 487.473 * * [simplify]: Extracting #1: cost 35 inf + 0 487.473 * * [simplify]: Extracting #2: cost 67 inf + 1 487.473 * * [simplify]: Extracting #3: cost 71 inf + 1 487.474 * * [simplify]: Extracting #4: cost 62 inf + 650 487.476 * * [simplify]: Extracting #5: cost 25 inf + 11354 487.481 * * [simplify]: Extracting #6: cost 1 inf + 19781 487.486 * * [simplify]: Extracting #7: cost 0 inf + 19983 487.492 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) 487.492 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 487.492 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 487.492 * * [simplify]: iters left: 6 (18 enodes) 487.497 * * [simplify]: iters left: 5 (63 enodes) 487.513 * * [simplify]: iters left: 4 (84 enodes) 487.540 * * [simplify]: iters left: 3 (120 enodes) 487.586 * * [simplify]: iters left: 2 (169 enodes) 487.635 * * [simplify]: iters left: 1 (264 enodes) 487.715 * * [simplify]: Extracting #0: cost 1 inf + 0 487.715 * * [simplify]: Extracting #1: cost 23 inf + 0 487.715 * * [simplify]: Extracting #2: cost 54 inf + 1 487.716 * * [simplify]: Extracting #3: cost 59 inf + 532 487.717 * * [simplify]: Extracting #4: cost 52 inf + 1529 487.720 * * [simplify]: Extracting #5: cost 23 inf + 8532 487.727 * * [simplify]: Extracting #6: cost 5 inf + 15023 487.735 * * [simplify]: Extracting #7: cost 0 inf + 17079 487.743 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) 487.743 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (/ (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))))) 487.743 * * * * [progress]: [ 835 / 2703 ] simplifiying candidate # 487.743 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 487.744 * * [simplify]: iters left: 6 (20 enodes) 487.754 * * [simplify]: iters left: 5 (75 enodes) 487.783 * * [simplify]: iters left: 4 (126 enodes) 487.830 * * [simplify]: iters left: 3 (262 enodes) 488.033 * * [simplify]: Extracting #0: cost 1 inf + 0 488.033 * * [simplify]: Extracting #1: cost 75 inf + 0 488.035 * * [simplify]: Extracting #2: cost 150 inf + 1 488.036 * * [simplify]: Extracting #3: cost 156 inf + 1 488.038 * * [simplify]: Extracting #4: cost 140 inf + 3389 488.041 * * [simplify]: Extracting #5: cost 127 inf + 8421 488.044 * * [simplify]: Extracting #6: cost 122 inf + 8848 488.050 * * [simplify]: Extracting #7: cost 92 inf + 21904 488.073 * * [simplify]: Extracting #8: cost 16 inf + 63120 488.104 * * [simplify]: Extracting #9: cost 0 inf + 71035 488.122 * * [simplify]: Extracting #10: cost 0 inf + 70995 488.140 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 488.140 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 488.140 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 488.140 * * [simplify]: iters left: 6 (18 enodes) 488.145 * * [simplify]: iters left: 5 (63 enodes) 488.158 * * [simplify]: iters left: 4 (85 enodes) 488.173 * * [simplify]: iters left: 3 (139 enodes) 488.200 * * [simplify]: iters left: 2 (214 enodes) 488.248 * * [simplify]: iters left: 1 (342 enodes) 488.412 * * [simplify]: Extracting #0: cost 1 inf + 0 488.413 * * [simplify]: Extracting #1: cost 30 inf + 0 488.413 * * [simplify]: Extracting #2: cost 59 inf + 1 488.414 * * [simplify]: Extracting #3: cost 66 inf + 1 488.414 * * [simplify]: Extracting #4: cost 65 inf + 226 488.415 * * [simplify]: Extracting #5: cost 50 inf + 2067 488.418 * * [simplify]: Extracting #6: cost 29 inf + 8284 488.427 * * [simplify]: Extracting #7: cost 6 inf + 18804 488.438 * * [simplify]: Extracting #8: cost 0 inf + 21262 488.449 * [simplify]: Simplified to (/ (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 488.449 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 488.449 * * * * [progress]: [ 836 / 2703 ] simplifiying candidate # 488.450 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 488.450 * * [simplify]: iters left: 6 (20 enodes) 488.460 * * [simplify]: iters left: 5 (74 enodes) 488.485 * * [simplify]: iters left: 4 (117 enodes) 488.527 * * [simplify]: iters left: 3 (200 enodes) 488.622 * * [simplify]: iters left: 2 (371 enodes) 488.796 * * [simplify]: Extracting #0: cost 1 inf + 0 488.796 * * [simplify]: Extracting #1: cost 35 inf + 0 488.796 * * [simplify]: Extracting #2: cost 89 inf + 1 488.797 * * [simplify]: Extracting #3: cost 96 inf + 1 488.797 * * [simplify]: Extracting #4: cost 79 inf + 4091 488.799 * * [simplify]: Extracting #5: cost 59 inf + 10914 488.803 * * [simplify]: Extracting #6: cost 22 inf + 24136 488.817 * * [simplify]: Extracting #7: cost 2 inf + 34064 488.825 * * [simplify]: Extracting #8: cost 0 inf + 35272 488.832 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 488.832 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 488.832 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 488.833 * * [simplify]: iters left: 6 (19 enodes) 488.837 * * [simplify]: iters left: 5 (66 enodes) 488.849 * * [simplify]: iters left: 4 (88 enodes) 488.871 * * [simplify]: iters left: 3 (142 enodes) 488.907 * * [simplify]: iters left: 2 (217 enodes) 488.975 * * [simplify]: iters left: 1 (346 enodes) 489.127 * * [simplify]: Extracting #0: cost 1 inf + 0 489.127 * * [simplify]: Extracting #1: cost 30 inf + 0 489.127 * * [simplify]: Extracting #2: cost 60 inf + 1 489.128 * * [simplify]: Extracting #3: cost 68 inf + 1 489.129 * * [simplify]: Extracting #4: cost 67 inf + 146 489.129 * * [simplify]: Extracting #5: cost 57 inf + 917 489.131 * * [simplify]: Extracting #6: cost 45 inf + 3521 489.134 * * [simplify]: Extracting #7: cost 33 inf + 7418 489.142 * * [simplify]: Extracting #8: cost 4 inf + 20414 489.154 * * [simplify]: Extracting #9: cost 0 inf + 22146 489.168 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2)))) 489.168 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2)))))) 489.169 * * * * [progress]: [ 837 / 2703 ] simplifiying candidate # 489.169 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 489.169 * * [simplify]: iters left: 6 (19 enodes) 489.179 * * [simplify]: iters left: 5 (70 enodes) 489.203 * * [simplify]: iters left: 4 (113 enodes) 489.242 * * [simplify]: iters left: 3 (196 enodes) 489.338 * * [simplify]: iters left: 2 (383 enodes) 489.553 * * [simplify]: Extracting #0: cost 1 inf + 0 489.553 * * [simplify]: Extracting #1: cost 36 inf + 0 489.554 * * [simplify]: Extracting #2: cost 88 inf + 1 489.555 * * [simplify]: Extracting #3: cost 94 inf + 1 489.556 * * [simplify]: Extracting #4: cost 78 inf + 3448 489.559 * * [simplify]: Extracting #5: cost 60 inf + 9769 489.565 * * [simplify]: Extracting #6: cost 29 inf + 20090 489.580 * * [simplify]: Extracting #7: cost 4 inf + 31396 489.594 * * [simplify]: Extracting #8: cost 0 inf + 32989 489.604 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 489.604 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 489.605 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 489.605 * * [simplify]: iters left: 6 (18 enodes) 489.609 * * [simplify]: iters left: 5 (63 enodes) 489.619 * * [simplify]: iters left: 4 (85 enodes) 489.640 * * [simplify]: iters left: 3 (139 enodes) 489.693 * * [simplify]: iters left: 2 (214 enodes) 489.782 * * [simplify]: iters left: 1 (342 enodes) 489.947 * * [simplify]: Extracting #0: cost 1 inf + 0 489.947 * * [simplify]: Extracting #1: cost 30 inf + 0 489.948 * * [simplify]: Extracting #2: cost 59 inf + 1 489.948 * * [simplify]: Extracting #3: cost 66 inf + 1 489.949 * * [simplify]: Extracting #4: cost 65 inf + 226 489.950 * * [simplify]: Extracting #5: cost 50 inf + 2067 489.953 * * [simplify]: Extracting #6: cost 29 inf + 8084 489.962 * * [simplify]: Extracting #7: cost 6 inf + 17844 489.973 * * [simplify]: Extracting #8: cost 0 inf + 20062 489.981 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 489.981 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 489.981 * * * * [progress]: [ 838 / 2703 ] simplifiying candidate # 489.982 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (sqrt 1))) 489.982 * * [simplify]: iters left: 6 (13 enodes) 489.988 * * [simplify]: iters left: 5 (51 enodes) 489.997 * * [simplify]: iters left: 4 (79 enodes) 490.021 * * [simplify]: iters left: 3 (122 enodes) 490.045 * * [simplify]: iters left: 2 (169 enodes) 490.112 * * [simplify]: iters left: 1 (254 enodes) 490.251 * * [simplify]: Extracting #0: cost 1 inf + 0 490.251 * * [simplify]: Extracting #1: cost 18 inf + 0 490.251 * * [simplify]: Extracting #2: cost 34 inf + 1 490.252 * * [simplify]: Extracting #3: cost 38 inf + 1 490.252 * * [simplify]: Extracting #4: cost 33 inf + 166 490.253 * * [simplify]: Extracting #5: cost 12 inf + 4579 490.256 * * [simplify]: Extracting #6: cost 0 inf + 8263 490.260 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 490.260 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 490.261 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 490.261 * * [simplify]: iters left: 6 (17 enodes) 490.271 * * [simplify]: iters left: 5 (60 enodes) 490.291 * * [simplify]: iters left: 4 (81 enodes) 490.318 * * [simplify]: iters left: 3 (117 enodes) 490.344 * * [simplify]: iters left: 2 (166 enodes) 490.404 * * [simplify]: iters left: 1 (261 enodes) 490.481 * * [simplify]: Extracting #0: cost 1 inf + 0 490.481 * * [simplify]: Extracting #1: cost 23 inf + 0 490.482 * * [simplify]: Extracting #2: cost 54 inf + 1 490.482 * * [simplify]: Extracting #3: cost 60 inf + 369 490.483 * * [simplify]: Extracting #4: cost 42 inf + 2783 490.485 * * [simplify]: Extracting #5: cost 8 inf + 13094 490.488 * * [simplify]: Extracting #6: cost 0 inf + 15717 490.492 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 490.492 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 490.492 * * * * [progress]: [ 839 / 2703 ] simplifiying candidate # 490.492 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 490.492 * * [simplify]: iters left: 6 (19 enodes) 490.497 * * [simplify]: iters left: 5 (70 enodes) 490.516 * * [simplify]: iters left: 4 (113 enodes) 490.555 * * [simplify]: iters left: 3 (196 enodes) 490.655 * * [simplify]: iters left: 2 (383 enodes) 490.881 * * [simplify]: Extracting #0: cost 1 inf + 0 490.881 * * [simplify]: Extracting #1: cost 36 inf + 0 490.882 * * [simplify]: Extracting #2: cost 88 inf + 1 490.882 * * [simplify]: Extracting #3: cost 94 inf + 1 490.884 * * [simplify]: Extracting #4: cost 78 inf + 3448 490.887 * * [simplify]: Extracting #5: cost 60 inf + 9769 490.893 * * [simplify]: Extracting #6: cost 29 inf + 20090 490.906 * * [simplify]: Extracting #7: cost 4 inf + 31396 490.920 * * [simplify]: Extracting #8: cost 0 inf + 32989 490.934 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) 490.934 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 490.935 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 490.936 * * [simplify]: iters left: 6 (18 enodes) 490.945 * * [simplify]: iters left: 5 (63 enodes) 490.961 * * [simplify]: iters left: 4 (85 enodes) 490.976 * * [simplify]: iters left: 3 (139 enodes) 491.004 * * [simplify]: iters left: 2 (214 enodes) 491.069 * * [simplify]: iters left: 1 (342 enodes) 491.259 * * [simplify]: Extracting #0: cost 1 inf + 0 491.259 * * [simplify]: Extracting #1: cost 30 inf + 0 491.259 * * [simplify]: Extracting #2: cost 59 inf + 1 491.260 * * [simplify]: Extracting #3: cost 66 inf + 1 491.261 * * [simplify]: Extracting #4: cost 65 inf + 226 491.262 * * [simplify]: Extracting #5: cost 50 inf + 2067 491.265 * * [simplify]: Extracting #6: cost 29 inf + 8084 491.273 * * [simplify]: Extracting #7: cost 6 inf + 17844 491.284 * * [simplify]: Extracting #8: cost 0 inf + 20062 491.297 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 491.298 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 491.298 * * * * [progress]: [ 840 / 2703 ] simplifiying candidate # 491.298 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 1)) 491.298 * * [simplify]: iters left: 6 (12 enodes) 491.305 * * [simplify]: iters left: 5 (44 enodes) 491.320 * * [simplify]: iters left: 4 (68 enodes) 491.342 * * [simplify]: iters left: 3 (90 enodes) 491.370 * * [simplify]: iters left: 2 (116 enodes) 491.408 * * [simplify]: iters left: 1 (125 enodes) 491.440 * * [simplify]: Extracting #0: cost 1 inf + 0 491.440 * * [simplify]: Extracting #1: cost 13 inf + 0 491.441 * * [simplify]: Extracting #2: cost 24 inf + 1 491.441 * * [simplify]: Extracting #3: cost 28 inf + 1 491.441 * * [simplify]: Extracting #4: cost 23 inf + 146 491.441 * * [simplify]: Extracting #5: cost 3 inf + 4697 491.442 * * [simplify]: Extracting #6: cost 0 inf + 5723 491.443 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 491.443 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 491.444 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 491.444 * * [simplify]: iters left: 6 (17 enodes) 491.448 * * [simplify]: iters left: 5 (60 enodes) 491.458 * * [simplify]: iters left: 4 (81 enodes) 491.475 * * [simplify]: iters left: 3 (117 enodes) 491.514 * * [simplify]: iters left: 2 (166 enodes) 491.564 * * [simplify]: iters left: 1 (261 enodes) 491.657 * * [simplify]: Extracting #0: cost 1 inf + 0 491.657 * * [simplify]: Extracting #1: cost 23 inf + 0 491.657 * * [simplify]: Extracting #2: cost 54 inf + 1 491.658 * * [simplify]: Extracting #3: cost 60 inf + 369 491.659 * * [simplify]: Extracting #4: cost 42 inf + 2783 491.661 * * [simplify]: Extracting #5: cost 8 inf + 13094 491.665 * * [simplify]: Extracting #6: cost 0 inf + 15717 491.668 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 491.668 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 491.668 * * * * [progress]: [ 841 / 2703 ] simplifiying candidate # 491.669 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1) 491.669 * * [simplify]: iters left: 6 (11 enodes) 491.672 * * [simplify]: iters left: 5 (41 enodes) 491.679 * * [simplify]: iters left: 4 (72 enodes) 491.696 * * [simplify]: iters left: 3 (103 enodes) 491.717 * * [simplify]: iters left: 2 (127 enodes) 491.750 * * [simplify]: iters left: 1 (128 enodes) 491.781 * * [simplify]: Extracting #0: cost 1 inf + 0 491.781 * * [simplify]: Extracting #1: cost 13 inf + 0 491.781 * * [simplify]: Extracting #2: cost 24 inf + 1 491.781 * * [simplify]: Extracting #3: cost 28 inf + 1 491.781 * * [simplify]: Extracting #4: cost 24 inf + 105 491.782 * * [simplify]: Extracting #5: cost 6 inf + 4172 491.784 * * [simplify]: Extracting #6: cost 0 inf + 5723 491.786 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 491.786 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 491.787 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 491.787 * * [simplify]: iters left: 6 (17 enodes) 491.795 * * [simplify]: iters left: 5 (60 enodes) 491.815 * * [simplify]: iters left: 4 (81 enodes) 491.842 * * [simplify]: iters left: 3 (117 enodes) 491.862 * * [simplify]: iters left: 2 (166 enodes) 491.906 * * [simplify]: iters left: 1 (261 enodes) 492.012 * * [simplify]: Extracting #0: cost 1 inf + 0 492.012 * * [simplify]: Extracting #1: cost 23 inf + 0 492.013 * * [simplify]: Extracting #2: cost 54 inf + 1 492.013 * * [simplify]: Extracting #3: cost 60 inf + 369 492.015 * * [simplify]: Extracting #4: cost 42 inf + 2783 492.019 * * [simplify]: Extracting #5: cost 8 inf + 13094 492.029 * * [simplify]: Extracting #6: cost 0 inf + 15717 492.036 * [simplify]: Simplified to (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 492.036 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 492.036 * * * * [progress]: [ 842 / 2703 ] simplifiying candidate # 492.037 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 492.037 * * [simplify]: iters left: 6 (10 enodes) 492.042 * * [simplify]: iters left: 5 (38 enodes) 492.053 * * [simplify]: iters left: 4 (65 enodes) 492.066 * * [simplify]: iters left: 3 (92 enodes) 492.084 * * [simplify]: iters left: 2 (120 enodes) 492.123 * * [simplify]: iters left: 1 (171 enodes) 492.165 * * [simplify]: Extracting #0: cost 1 inf + 0 492.165 * * [simplify]: Extracting #1: cost 33 inf + 0 492.165 * * [simplify]: Extracting #2: cost 80 inf + 0 492.166 * * [simplify]: Extracting #3: cost 77 inf + 46 492.167 * * [simplify]: Extracting #4: cost 67 inf + 1800 492.170 * * [simplify]: Extracting #5: cost 23 inf + 20699 492.176 * * [simplify]: Extracting #6: cost 0 inf + 34394 492.183 * [simplify]: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt 2))) 492.183 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt 2))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 492.184 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 492.184 * * [simplify]: iters left: 6 (13 enodes) 492.190 * * [simplify]: iters left: 5 (48 enodes) 492.205 * * [simplify]: iters left: 4 (58 enodes) 492.223 * * [simplify]: iters left: 3 (69 enodes) 492.234 * * [simplify]: iters left: 2 (83 enodes) 492.247 * * [simplify]: iters left: 1 (102 enodes) 492.264 * * [simplify]: Extracting #0: cost 1 inf + 0 492.264 * * [simplify]: Extracting #1: cost 13 inf + 0 492.264 * * [simplify]: Extracting #2: cost 31 inf + 1 492.264 * * [simplify]: Extracting #3: cost 31 inf + 85 492.264 * * [simplify]: Extracting #4: cost 25 inf + 513 492.265 * * [simplify]: Extracting #5: cost 4 inf + 4983 492.266 * * [simplify]: Extracting #6: cost 0 inf + 5912 492.267 * [simplify]: Simplified to (* (+ (* a1 a1) (* a2 a2)) (cbrt (cos th))) 492.267 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt 2))) (* (+ (* a1 a1) (* a2 a2)) (cbrt (cos th))))) 492.268 * * * * [progress]: [ 843 / 2703 ] simplifiying candidate # 492.268 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 492.268 * * [simplify]: iters left: 6 (20 enodes) 492.277 * * [simplify]: iters left: 5 (87 enodes) 492.312 * * [simplify]: iters left: 4 (183 enodes) 492.392 * * [simplify]: iters left: 3 (376 enodes) 492.543 * * [simplify]: Extracting #0: cost 1 inf + 0 492.544 * * [simplify]: Extracting #1: cost 47 inf + 0 492.544 * * [simplify]: Extracting #2: cost 82 inf + 0 492.545 * * [simplify]: Extracting #3: cost 85 inf + 43 492.546 * * [simplify]: Extracting #4: cost 107 inf + 761 492.548 * * [simplify]: Extracting #5: cost 130 inf + 5591 492.551 * * [simplify]: Extracting #6: cost 75 inf + 20712 492.557 * * [simplify]: Extracting #7: cost 40 inf + 36516 492.567 * * [simplify]: Extracting #8: cost 3 inf + 55345 492.579 * * [simplify]: Extracting #9: cost 0 inf + 56804 492.604 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) (sqrt (+ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (* (* a1 (* a1 a1)) (* a1 (* a1 a1)))))) 492.604 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) (sqrt (+ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (* (* a1 (* a1 a1)) (* a1 (* a1 a1)))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 492.605 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 492.605 * * [simplify]: iters left: 6 (19 enodes) 492.613 * * [simplify]: iters left: 5 (86 enodes) 492.629 * * [simplify]: iters left: 4 (165 enodes) 492.663 * * [simplify]: iters left: 3 (297 enodes) 492.733 * * [simplify]: iters left: 2 (438 enodes) 492.923 * * [simplify]: Extracting #0: cost 1 inf + 0 492.924 * * [simplify]: Extracting #1: cost 14 inf + 0 492.924 * * [simplify]: Extracting #2: cost 27 inf + 1 492.924 * * [simplify]: Extracting #3: cost 52 inf + 1 492.925 * * [simplify]: Extracting #4: cost 176 inf + 63 492.927 * * [simplify]: Extracting #5: cost 232 inf + 1348 492.934 * * [simplify]: Extracting #6: cost 107 inf + 18774 492.950 * * [simplify]: Extracting #7: cost 16 inf + 37606 492.968 * * [simplify]: Extracting #8: cost 0 inf + 43886 492.986 * * [simplify]: Extracting #9: cost 0 inf + 43086 492.995 * [simplify]: Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1)))) (cbrt (cos th)))) 492.995 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) (sqrt (+ (* (* (* a2 a2) a2) (* (* a2 a2) a2)) (* (* a1 (* a1 a1)) (* a1 (* a1 a1)))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1)))) (cbrt (cos th)))))) 492.995 * * * * [progress]: [ 844 / 2703 ] simplifiying candidate # 492.996 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 492.996 * * [simplify]: iters left: 6 (19 enodes) 493.005 * * [simplify]: iters left: 5 (80 enodes) 493.019 * * [simplify]: iters left: 4 (153 enodes) 493.062 * * [simplify]: iters left: 3 (306 enodes) 493.168 * * [simplify]: Extracting #0: cost 1 inf + 0 493.168 * * [simplify]: Extracting #1: cost 46 inf + 0 493.168 * * [simplify]: Extracting #2: cost 81 inf + 0 493.169 * * [simplify]: Extracting #3: cost 99 inf + 43 493.170 * * [simplify]: Extracting #4: cost 145 inf + 2453 493.173 * * [simplify]: Extracting #5: cost 132 inf + 7924 493.181 * * [simplify]: Extracting #6: cost 61 inf + 25001 493.203 * * [simplify]: Extracting #7: cost 2 inf + 43869 493.222 * * [simplify]: Extracting #8: cost 0 inf + 44243 493.242 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 493.242 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 493.242 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (- (* a1 a1) (* a2 a2)))) 493.243 * * [simplify]: iters left: 6 (15 enodes) 493.250 * * [simplify]: iters left: 5 (57 enodes) 493.268 * * [simplify]: iters left: 4 (82 enodes) 493.288 * * [simplify]: iters left: 3 (116 enodes) 493.307 * * [simplify]: iters left: 2 (169 enodes) 493.348 * * [simplify]: iters left: 1 (269 enodes) 493.412 * * [simplify]: Extracting #0: cost 1 inf + 0 493.412 * * [simplify]: Extracting #1: cost 13 inf + 0 493.413 * * [simplify]: Extracting #2: cost 25 inf + 1 493.413 * * [simplify]: Extracting #3: cost 49 inf + 1 493.413 * * [simplify]: Extracting #4: cost 81 inf + 63 493.414 * * [simplify]: Extracting #5: cost 62 inf + 1954 493.418 * * [simplify]: Extracting #6: cost 12 inf + 9737 493.427 * * [simplify]: Extracting #7: cost 0 inf + 12445 493.433 * [simplify]: Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (* (- a1 a2) (+ a2 a1))) (cbrt (cos th)))) 493.433 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (* (- a1 a2) (+ a2 a1))) (cbrt (cos th)))))) 493.433 * * * * [progress]: [ 845 / 2703 ] simplifiying candidate # 493.434 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 493.434 * * [simplify]: iters left: 6 (25 enodes) 493.447 * * [simplify]: iters left: 5 (103 enodes) 493.478 * * [simplify]: iters left: 4 (209 enodes) 493.545 * * [simplify]: iters left: 3 (499 enodes) 493.751 * * [simplify]: Extracting #0: cost 1 inf + 0 493.751 * * [simplify]: Extracting #1: cost 93 inf + 0 493.753 * * [simplify]: Extracting #2: cost 224 inf + 0 493.755 * * [simplify]: Extracting #3: cost 242 inf + 0 493.757 * * [simplify]: Extracting #4: cost 255 inf + 3847 493.762 * * [simplify]: Extracting #5: cost 278 inf + 14962 493.771 * * [simplify]: Extracting #6: cost 231 inf + 40769 493.802 * * [simplify]: Extracting #7: cost 80 inf + 130486 493.878 * * [simplify]: Extracting #8: cost 1 inf + 180293 493.924 * * [simplify]: Extracting #9: cost 0 inf + 180545 493.991 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 493.991 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 493.991 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 493.991 * * [simplify]: iters left: 6 (22 enodes) 493.997 * * [simplify]: iters left: 5 (91 enodes) 494.024 * * [simplify]: iters left: 4 (163 enodes) 494.074 * * [simplify]: iters left: 3 (280 enodes) 494.160 * * [simplify]: iters left: 2 (410 enodes) 494.316 * * [simplify]: Extracting #0: cost 1 inf + 0 494.316 * * [simplify]: Extracting #1: cost 8 inf + 0 494.316 * * [simplify]: Extracting #2: cost 17 inf + 0 494.316 * * [simplify]: Extracting #3: cost 41 inf + 0 494.317 * * [simplify]: Extracting #4: cost 169 inf + 62 494.319 * * [simplify]: Extracting #5: cost 230 inf + 1163 494.331 * * [simplify]: Extracting #6: cost 89 inf + 22596 494.344 * * [simplify]: Extracting #7: cost 6 inf + 41154 494.352 * * [simplify]: Extracting #8: cost 0 inf + 42577 494.360 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1)))))) 494.360 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (cbrt (cos th)) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1)))))))) 494.361 * * * * [progress]: [ 846 / 2703 ] simplifiying candidate # 494.361 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 494.361 * * [simplify]: iters left: 6 (24 enodes) 494.367 * * [simplify]: iters left: 5 (98 enodes) 494.402 * * [simplify]: iters left: 4 (192 enodes) 494.483 * * [simplify]: iters left: 3 (409 enodes) 494.640 * * [simplify]: Extracting #0: cost 1 inf + 0 494.641 * * [simplify]: Extracting #1: cost 55 inf + 0 494.641 * * [simplify]: Extracting #2: cost 127 inf + 0 494.642 * * [simplify]: Extracting #3: cost 139 inf + 0 494.642 * * [simplify]: Extracting #4: cost 161 inf + 1151 494.644 * * [simplify]: Extracting #5: cost 189 inf + 6239 494.645 * * [simplify]: Extracting #6: cost 161 inf + 13542 494.651 * * [simplify]: Extracting #7: cost 113 inf + 28041 494.669 * * [simplify]: Extracting #8: cost 25 inf + 84649 494.692 * * [simplify]: Extracting #9: cost 0 inf + 98800 494.719 * * [simplify]: Extracting #10: cost 0 inf + 97308 494.743 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) 494.743 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 494.744 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 494.744 * * [simplify]: iters left: 6 (22 enodes) 494.756 * * [simplify]: iters left: 5 (91 enodes) 494.789 * * [simplify]: iters left: 4 (163 enodes) 494.855 * * [simplify]: iters left: 3 (280 enodes) 494.968 * * [simplify]: iters left: 2 (410 enodes) 495.168 * * [simplify]: Extracting #0: cost 1 inf + 0 495.168 * * [simplify]: Extracting #1: cost 8 inf + 0 495.168 * * [simplify]: Extracting #2: cost 17 inf + 0 495.168 * * [simplify]: Extracting #3: cost 41 inf + 0 495.169 * * [simplify]: Extracting #4: cost 169 inf + 62 495.171 * * [simplify]: Extracting #5: cost 230 inf + 1163 495.178 * * [simplify]: Extracting #6: cost 89 inf + 22556 495.194 * * [simplify]: Extracting #7: cost 6 inf + 40874 495.208 * * [simplify]: Extracting #8: cost 0 inf + 42257 495.219 * [simplify]: Simplified to (/ (cbrt (cos th)) (* (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1)))))) 495.219 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (/ (cbrt (cos th)) (* (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1)))))))) 495.220 * * * * [progress]: [ 847 / 2703 ] simplifiying candidate # 495.220 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 495.220 * * [simplify]: iters left: 6 (26 enodes) 495.228 * * [simplify]: iters left: 5 (108 enodes) 495.270 * * [simplify]: iters left: 4 (222 enodes) 495.352 * * [simplify]: Extracting #0: cost 1 inf + 0 495.352 * * [simplify]: Extracting #1: cost 55 inf + 0 495.353 * * [simplify]: Extracting #2: cost 143 inf + 0 495.354 * * [simplify]: Extracting #3: cost 161 inf + 0 495.355 * * [simplify]: Extracting #4: cost 176 inf + 1634 495.358 * * [simplify]: Extracting #5: cost 169 inf + 12795 495.368 * * [simplify]: Extracting #6: cost 109 inf + 42509 495.389 * * [simplify]: Extracting #7: cost 50 inf + 69537 495.425 * * [simplify]: Extracting #8: cost 8 inf + 96986 495.463 * * [simplify]: Extracting #9: cost 0 inf + 102871 495.502 * [simplify]: Simplified to (/ (* (* (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 495.502 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 495.503 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 495.503 * * [simplify]: iters left: 6 (23 enodes) 495.516 * * [simplify]: iters left: 5 (96 enodes) 495.533 * * [simplify]: iters left: 4 (176 enodes) 495.582 * * [simplify]: iters left: 3 (311 enodes) 495.700 * * [simplify]: iters left: 2 (461 enodes) 495.839 * * [simplify]: Extracting #0: cost 1 inf + 0 495.839 * * [simplify]: Extracting #1: cost 24 inf + 0 495.839 * * [simplify]: Extracting #2: cost 45 inf + 0 495.839 * * [simplify]: Extracting #3: cost 70 inf + 0 495.840 * * [simplify]: Extracting #4: cost 197 inf + 62 495.843 * * [simplify]: Extracting #5: cost 234 inf + 3536 495.852 * * [simplify]: Extracting #6: cost 70 inf + 32048 495.862 * * [simplify]: Extracting #7: cost 9 inf + 52964 495.873 * * [simplify]: Extracting #8: cost 0 inf + 56285 495.890 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) 495.890 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))))) 495.891 * * * * [progress]: [ 848 / 2703 ] simplifiying candidate # 495.891 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 495.891 * * [simplify]: iters left: 6 (26 enodes) 495.910 * * [simplify]: iters left: 5 (107 enodes) 495.951 * * [simplify]: iters left: 4 (213 enodes) 496.005 * * [simplify]: Extracting #0: cost 1 inf + 0 496.005 * * [simplify]: Extracting #1: cost 51 inf + 0 496.005 * * [simplify]: Extracting #2: cost 122 inf + 0 496.005 * * [simplify]: Extracting #3: cost 138 inf + 0 496.006 * * [simplify]: Extracting #4: cost 149 inf + 2460 496.007 * * [simplify]: Extracting #5: cost 151 inf + 7214 496.013 * * [simplify]: Extracting #6: cost 116 inf + 16497 496.023 * * [simplify]: Extracting #7: cost 63 inf + 39369 496.037 * * [simplify]: Extracting #8: cost 10 inf + 75277 496.052 * * [simplify]: Extracting #9: cost 0 inf + 84094 496.080 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 496.080 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 496.080 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 496.081 * * [simplify]: iters left: 6 (23 enodes) 496.093 * * [simplify]: iters left: 5 (96 enodes) 496.127 * * [simplify]: iters left: 4 (176 enodes) 496.196 * * [simplify]: iters left: 3 (311 enodes) 496.256 * * [simplify]: iters left: 2 (461 enodes) 496.383 * * [simplify]: Extracting #0: cost 1 inf + 0 496.384 * * [simplify]: Extracting #1: cost 24 inf + 0 496.384 * * [simplify]: Extracting #2: cost 45 inf + 0 496.384 * * [simplify]: Extracting #3: cost 70 inf + 0 496.385 * * [simplify]: Extracting #4: cost 197 inf + 62 496.388 * * [simplify]: Extracting #5: cost 234 inf + 3576 496.401 * * [simplify]: Extracting #6: cost 70 inf + 32128 496.411 * * [simplify]: Extracting #7: cost 9 inf + 53044 496.422 * * [simplify]: Extracting #8: cost 0 inf + 56365 496.440 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) 496.440 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))))) 496.440 * * * * [progress]: [ 849 / 2703 ] simplifiying candidate # 496.441 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 496.441 * * [simplify]: iters left: 6 (25 enodes) 496.449 * * [simplify]: iters left: 5 (103 enodes) 496.470 * * [simplify]: iters left: 4 (209 enodes) 496.520 * * [simplify]: Extracting #0: cost 1 inf + 0 496.520 * * [simplify]: Extracting #1: cost 51 inf + 0 496.521 * * [simplify]: Extracting #2: cost 121 inf + 0 496.521 * * [simplify]: Extracting #3: cost 136 inf + 0 496.522 * * [simplify]: Extracting #4: cost 152 inf + 1232 496.523 * * [simplify]: Extracting #5: cost 158 inf + 5038 496.524 * * [simplify]: Extracting #6: cost 130 inf + 10963 496.526 * * [simplify]: Extracting #7: cost 90 inf + 21264 496.536 * * [simplify]: Extracting #8: cost 26 inf + 66623 496.551 * * [simplify]: Extracting #9: cost 0 inf + 83164 496.572 * * [simplify]: Extracting #10: cost 0 inf + 81570 496.596 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) 496.597 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 496.597 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 496.597 * * [simplify]: iters left: 6 (23 enodes) 496.603 * * [simplify]: iters left: 5 (96 enodes) 496.620 * * [simplify]: iters left: 4 (176 enodes) 496.655 * * [simplify]: iters left: 3 (311 enodes) 496.736 * * [simplify]: iters left: 2 (461 enodes) 496.913 * * [simplify]: Extracting #0: cost 1 inf + 0 496.913 * * [simplify]: Extracting #1: cost 24 inf + 0 496.914 * * [simplify]: Extracting #2: cost 45 inf + 0 496.914 * * [simplify]: Extracting #3: cost 70 inf + 0 496.914 * * [simplify]: Extracting #4: cost 197 inf + 62 496.916 * * [simplify]: Extracting #5: cost 234 inf + 3496 496.921 * * [simplify]: Extracting #6: cost 70 inf + 31728 496.933 * * [simplify]: Extracting #7: cost 9 inf + 52124 496.953 * * [simplify]: Extracting #8: cost 0 inf + 55365 496.979 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) 496.979 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))))) 496.979 * * * * [progress]: [ 850 / 2703 ] simplifiying candidate # 496.980 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 496.980 * * [simplify]: iters left: 6 (24 enodes) 496.993 * * [simplify]: iters left: 5 (101 enodes) 497.033 * * [simplify]: iters left: 4 (197 enodes) 497.106 * * [simplify]: iters left: 3 (441 enodes) 497.241 * * [simplify]: Extracting #0: cost 1 inf + 0 497.241 * * [simplify]: Extracting #1: cost 81 inf + 0 497.241 * * [simplify]: Extracting #2: cost 165 inf + 1 497.242 * * [simplify]: Extracting #3: cost 174 inf + 1 497.243 * * [simplify]: Extracting #4: cost 192 inf + 1655 497.249 * * [simplify]: Extracting #5: cost 203 inf + 15042 497.271 * * [simplify]: Extracting #6: cost 93 inf + 83096 497.309 * * [simplify]: Extracting #7: cost 23 inf + 107472 497.331 * * [simplify]: Extracting #8: cost 2 inf + 111584 497.369 * * [simplify]: Extracting #9: cost 0 inf + 112048 497.415 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cos th))))) 497.415 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cos th))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 497.416 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 497.416 * * [simplify]: iters left: 6 (22 enodes) 497.423 * * [simplify]: iters left: 5 (93 enodes) 497.440 * * [simplify]: iters left: 4 (173 enodes) 497.486 * * [simplify]: iters left: 3 (308 enodes) 497.576 * * [simplify]: iters left: 2 (457 enodes) 497.759 * * [simplify]: Extracting #0: cost 1 inf + 0 497.759 * * [simplify]: Extracting #1: cost 24 inf + 0 497.759 * * [simplify]: Extracting #2: cost 45 inf + 0 497.759 * * [simplify]: Extracting #3: cost 71 inf + 0 497.760 * * [simplify]: Extracting #4: cost 197 inf + 62 497.763 * * [simplify]: Extracting #5: cost 232 inf + 3690 497.772 * * [simplify]: Extracting #6: cost 118 inf + 23687 497.790 * * [simplify]: Extracting #7: cost 16 inf + 47918 497.810 * * [simplify]: Extracting #8: cost 0 inf + 54121 497.831 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 497.831 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cos th))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))))) 497.831 * * * * [progress]: [ 851 / 2703 ] simplifiying candidate # 497.832 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 497.832 * * [simplify]: iters left: 6 (25 enodes) 497.843 * * [simplify]: iters left: 5 (103 enodes) 497.872 * * [simplify]: iters left: 4 (209 enodes) 497.938 * * [simplify]: Extracting #0: cost 1 inf + 0 497.938 * * [simplify]: Extracting #1: cost 51 inf + 0 497.938 * * [simplify]: Extracting #2: cost 121 inf + 0 497.939 * * [simplify]: Extracting #3: cost 136 inf + 0 497.940 * * [simplify]: Extracting #4: cost 152 inf + 1232 497.945 * * [simplify]: Extracting #5: cost 158 inf + 5038 497.947 * * [simplify]: Extracting #6: cost 130 inf + 10963 497.949 * * [simplify]: Extracting #7: cost 90 inf + 21264 497.958 * * [simplify]: Extracting #8: cost 26 inf + 66623 497.974 * * [simplify]: Extracting #9: cost 0 inf + 83164 498.004 * * [simplify]: Extracting #10: cost 0 inf + 81570 498.022 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) 498.022 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 498.023 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 498.023 * * [simplify]: iters left: 6 (23 enodes) 498.029 * * [simplify]: iters left: 5 (96 enodes) 498.053 * * [simplify]: iters left: 4 (176 enodes) 498.095 * * [simplify]: iters left: 3 (311 enodes) 498.167 * * [simplify]: iters left: 2 (461 enodes) 498.328 * * [simplify]: Extracting #0: cost 1 inf + 0 498.328 * * [simplify]: Extracting #1: cost 24 inf + 0 498.329 * * [simplify]: Extracting #2: cost 45 inf + 0 498.329 * * [simplify]: Extracting #3: cost 70 inf + 0 498.330 * * [simplify]: Extracting #4: cost 197 inf + 62 498.333 * * [simplify]: Extracting #5: cost 234 inf + 3496 498.343 * * [simplify]: Extracting #6: cost 70 inf + 31728 498.357 * * [simplify]: Extracting #7: cost 9 inf + 52124 498.368 * * [simplify]: Extracting #8: cost 0 inf + 55365 498.379 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) 498.379 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))))) 498.379 * * * * [progress]: [ 852 / 2703 ] simplifiying candidate # 498.380 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 498.380 * * [simplify]: iters left: 6 (23 enodes) 498.393 * * [simplify]: iters left: 5 (96 enodes) 498.414 * * [simplify]: iters left: 4 (194 enodes) 498.491 * * [simplify]: iters left: 3 (444 enodes) 498.713 * * [simplify]: Extracting #0: cost 1 inf + 0 498.713 * * [simplify]: Extracting #1: cost 83 inf + 0 498.715 * * [simplify]: Extracting #2: cost 168 inf + 1 498.716 * * [simplify]: Extracting #3: cost 177 inf + 1 498.718 * * [simplify]: Extracting #4: cost 195 inf + 1354 498.722 * * [simplify]: Extracting #5: cost 198 inf + 19118 498.747 * * [simplify]: Extracting #6: cost 99 inf + 80252 498.789 * * [simplify]: Extracting #7: cost 26 inf + 110505 498.838 * * [simplify]: Extracting #8: cost 2 inf + 112829 498.884 * * [simplify]: Extracting #9: cost 0 inf + 113333 498.908 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 498.908 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 498.909 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 498.909 * * [simplify]: iters left: 6 (22 enodes) 498.915 * * [simplify]: iters left: 5 (93 enodes) 498.931 * * [simplify]: iters left: 4 (173 enodes) 498.982 * * [simplify]: iters left: 3 (308 enodes) 499.071 * * [simplify]: iters left: 2 (457 enodes) 499.227 * * [simplify]: Extracting #0: cost 1 inf + 0 499.227 * * [simplify]: Extracting #1: cost 24 inf + 0 499.227 * * [simplify]: Extracting #2: cost 45 inf + 0 499.227 * * [simplify]: Extracting #3: cost 71 inf + 0 499.227 * * [simplify]: Extracting #4: cost 197 inf + 62 499.229 * * [simplify]: Extracting #5: cost 232 inf + 3690 499.233 * * [simplify]: Extracting #6: cost 118 inf + 23687 499.243 * * [simplify]: Extracting #7: cost 16 inf + 47918 499.253 * * [simplify]: Extracting #8: cost 0 inf + 54121 499.264 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 499.264 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))))) 499.264 * * * * [progress]: [ 853 / 2703 ] simplifiying candidate # 499.265 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 499.265 * * [simplify]: iters left: 6 (29 enodes) 499.275 * * [simplify]: iters left: 5 (118 enodes) 499.308 * * [simplify]: iters left: 4 (232 enodes) 499.361 * * [simplify]: Extracting #0: cost 1 inf + 0 499.362 * * [simplify]: Extracting #1: cost 55 inf + 0 499.362 * * [simplify]: Extracting #2: cost 144 inf + 0 499.363 * * [simplify]: Extracting #3: cost 165 inf + 0 499.363 * * [simplify]: Extracting #4: cost 181 inf + 1434 499.364 * * [simplify]: Extracting #5: cost 177 inf + 7512 499.367 * * [simplify]: Extracting #6: cost 135 inf + 20082 499.378 * * [simplify]: Extracting #7: cost 42 inf + 83794 499.408 * * [simplify]: Extracting #8: cost 2 inf + 106696 499.434 * * [simplify]: Extracting #9: cost 0 inf + 107477 499.474 * [simplify]: Simplified to (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (fabs (cbrt 2))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))))) 499.475 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (fabs (cbrt 2))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 499.475 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 499.476 * * [simplify]: iters left: 6 (23 enodes) 499.488 * * [simplify]: iters left: 5 (96 enodes) 499.520 * * [simplify]: iters left: 4 (176 enodes) 499.569 * * [simplify]: iters left: 3 (311 enodes) 499.655 * * [simplify]: iters left: 2 (461 enodes) 499.838 * * [simplify]: Extracting #0: cost 1 inf + 0 499.838 * * [simplify]: Extracting #1: cost 24 inf + 0 499.838 * * [simplify]: Extracting #2: cost 45 inf + 0 499.839 * * [simplify]: Extracting #3: cost 70 inf + 0 499.839 * * [simplify]: Extracting #4: cost 197 inf + 62 499.841 * * [simplify]: Extracting #5: cost 234 inf + 3576 499.852 * * [simplify]: Extracting #6: cost 70 inf + 32128 499.872 * * [simplify]: Extracting #7: cost 9 inf + 53044 499.888 * * [simplify]: Extracting #8: cost 0 inf + 56365 499.899 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2))))) 499.899 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (fabs (cbrt 2))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2))))))) 499.899 * * * * [progress]: [ 854 / 2703 ] simplifiying candidate # 499.899 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 499.900 * * [simplify]: iters left: 6 (29 enodes) 499.908 * * [simplify]: iters left: 5 (117 enodes) 499.938 * * [simplify]: iters left: 4 (223 enodes) 499.997 * * [simplify]: Extracting #0: cost 1 inf + 0 499.997 * * [simplify]: Extracting #1: cost 51 inf + 0 499.998 * * [simplify]: Extracting #2: cost 123 inf + 0 499.998 * * [simplify]: Extracting #3: cost 142 inf + 0 499.999 * * [simplify]: Extracting #4: cost 161 inf + 930 500.000 * * [simplify]: Extracting #5: cost 160 inf + 6408 500.002 * * [simplify]: Extracting #6: cost 113 inf + 23168 500.017 * * [simplify]: Extracting #7: cost 33 inf + 70551 500.037 * * [simplify]: Extracting #8: cost 3 inf + 86958 500.053 * * [simplify]: Extracting #9: cost 0 inf + 88060 500.077 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (cbrt (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 500.077 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (cbrt (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 500.078 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 500.078 * * [simplify]: iters left: 6 (23 enodes) 500.090 * * [simplify]: iters left: 5 (96 enodes) 500.124 * * [simplify]: iters left: 4 (176 enodes) 500.192 * * [simplify]: iters left: 3 (311 enodes) 500.288 * * [simplify]: iters left: 2 (461 enodes) 500.468 * * [simplify]: Extracting #0: cost 1 inf + 0 500.468 * * [simplify]: Extracting #1: cost 24 inf + 0 500.468 * * [simplify]: Extracting #2: cost 45 inf + 0 500.469 * * [simplify]: Extracting #3: cost 70 inf + 0 500.469 * * [simplify]: Extracting #4: cost 197 inf + 62 500.471 * * [simplify]: Extracting #5: cost 234 inf + 3616 500.476 * * [simplify]: Extracting #6: cost 70 inf + 32208 500.486 * * [simplify]: Extracting #7: cost 9 inf + 53124 500.500 * * [simplify]: Extracting #8: cost 0 inf + 56445 500.525 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2))))) 500.525 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (cbrt (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2))))))) 500.525 * * * * [progress]: [ 855 / 2703 ] simplifiying candidate # 500.526 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 500.526 * * [simplify]: iters left: 6 (28 enodes) 500.540 * * [simplify]: iters left: 5 (113 enodes) 500.583 * * [simplify]: iters left: 4 (219 enodes) 500.679 * * [simplify]: Extracting #0: cost 1 inf + 0 500.680 * * [simplify]: Extracting #1: cost 51 inf + 0 500.680 * * [simplify]: Extracting #2: cost 122 inf + 0 500.681 * * [simplify]: Extracting #3: cost 140 inf + 0 500.682 * * [simplify]: Extracting #4: cost 160 inf + 749 500.684 * * [simplify]: Extracting #5: cost 155 inf + 6573 500.688 * * [simplify]: Extracting #6: cost 116 inf + 17757 500.700 * * [simplify]: Extracting #7: cost 62 inf + 45347 500.722 * * [simplify]: Extracting #8: cost 11 inf + 77276 500.752 * * [simplify]: Extracting #9: cost 0 inf + 85536 500.783 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (cbrt (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 500.783 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (cbrt (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 500.784 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 500.785 * * [simplify]: iters left: 6 (23 enodes) 500.797 * * [simplify]: iters left: 5 (96 enodes) 500.835 * * [simplify]: iters left: 4 (176 enodes) 500.871 * * [simplify]: iters left: 3 (311 enodes) 500.964 * * [simplify]: iters left: 2 (461 enodes) 501.136 * * [simplify]: Extracting #0: cost 1 inf + 0 501.136 * * [simplify]: Extracting #1: cost 24 inf + 0 501.136 * * [simplify]: Extracting #2: cost 45 inf + 0 501.136 * * [simplify]: Extracting #3: cost 70 inf + 0 501.137 * * [simplify]: Extracting #4: cost 197 inf + 62 501.138 * * [simplify]: Extracting #5: cost 234 inf + 3536 501.146 * * [simplify]: Extracting #6: cost 70 inf + 31808 501.165 * * [simplify]: Extracting #7: cost 9 inf + 52204 501.186 * * [simplify]: Extracting #8: cost 0 inf + 55445 501.205 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2))))) 501.205 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (cbrt (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2))))))) 501.205 * * * * [progress]: [ 856 / 2703 ] simplifiying candidate # 501.205 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 501.205 * * [simplify]: iters left: 6 (27 enodes) 501.213 * * [simplify]: iters left: 5 (111 enodes) 501.242 * * [simplify]: iters left: 4 (207 enodes) 501.326 * * [simplify]: iters left: 3 (449 enodes) 501.529 * * [simplify]: Extracting #0: cost 1 inf + 0 501.529 * * [simplify]: Extracting #1: cost 83 inf + 0 501.530 * * [simplify]: Extracting #2: cost 167 inf + 1 501.531 * * [simplify]: Extracting #3: cost 179 inf + 1 501.532 * * [simplify]: Extracting #4: cost 195 inf + 1839 501.534 * * [simplify]: Extracting #5: cost 207 inf + 14334 501.550 * * [simplify]: Extracting #6: cost 92 inf + 85951 501.592 * * [simplify]: Extracting #7: cost 21 inf + 113049 501.636 * * [simplify]: Extracting #8: cost 5 inf + 116836 501.681 * * [simplify]: Extracting #9: cost 0 inf + 118598 501.726 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 501.727 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 501.727 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 501.728 * * [simplify]: iters left: 6 (22 enodes) 501.739 * * [simplify]: iters left: 5 (93 enodes) 501.757 * * [simplify]: iters left: 4 (173 enodes) 501.797 * * [simplify]: iters left: 3 (308 enodes) 501.865 * * [simplify]: iters left: 2 (457 enodes) 502.034 * * [simplify]: Extracting #0: cost 1 inf + 0 502.034 * * [simplify]: Extracting #1: cost 24 inf + 0 502.034 * * [simplify]: Extracting #2: cost 45 inf + 0 502.034 * * [simplify]: Extracting #3: cost 71 inf + 0 502.036 * * [simplify]: Extracting #4: cost 197 inf + 62 502.038 * * [simplify]: Extracting #5: cost 232 inf + 3770 502.047 * * [simplify]: Extracting #6: cost 118 inf + 23767 502.066 * * [simplify]: Extracting #7: cost 16 inf + 47998 502.087 * * [simplify]: Extracting #8: cost 0 inf + 54201 502.108 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2))))) 502.108 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2))))))) 502.109 * * * * [progress]: [ 857 / 2703 ] simplifiying candidate # 502.109 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 502.109 * * [simplify]: iters left: 6 (28 enodes) 502.124 * * [simplify]: iters left: 5 (113 enodes) 502.166 * * [simplify]: iters left: 4 (219 enodes) 502.222 * * [simplify]: Extracting #0: cost 1 inf + 0 502.222 * * [simplify]: Extracting #1: cost 51 inf + 0 502.222 * * [simplify]: Extracting #2: cost 122 inf + 0 502.223 * * [simplify]: Extracting #3: cost 140 inf + 0 502.223 * * [simplify]: Extracting #4: cost 160 inf + 749 502.225 * * [simplify]: Extracting #5: cost 155 inf + 6573 502.227 * * [simplify]: Extracting #6: cost 116 inf + 17757 502.233 * * [simplify]: Extracting #7: cost 62 inf + 45347 502.258 * * [simplify]: Extracting #8: cost 11 inf + 77276 502.287 * * [simplify]: Extracting #9: cost 0 inf + 85536 502.303 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (cbrt (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 502.303 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (cbrt (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 502.303 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 502.303 * * [simplify]: iters left: 6 (23 enodes) 502.309 * * [simplify]: iters left: 5 (96 enodes) 502.334 * * [simplify]: iters left: 4 (176 enodes) 502.376 * * [simplify]: iters left: 3 (311 enodes) 502.444 * * [simplify]: iters left: 2 (461 enodes) 502.602 * * [simplify]: Extracting #0: cost 1 inf + 0 502.602 * * [simplify]: Extracting #1: cost 24 inf + 0 502.602 * * [simplify]: Extracting #2: cost 45 inf + 0 502.603 * * [simplify]: Extracting #3: cost 70 inf + 0 502.604 * * [simplify]: Extracting #4: cost 197 inf + 62 502.607 * * [simplify]: Extracting #5: cost 234 inf + 3536 502.618 * * [simplify]: Extracting #6: cost 70 inf + 31808 502.641 * * [simplify]: Extracting #7: cost 9 inf + 52204 502.662 * * [simplify]: Extracting #8: cost 0 inf + 55445 502.683 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2))))) 502.683 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (cbrt (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (cbrt 2))))))) 502.684 * * * * [progress]: [ 858 / 2703 ] simplifiying candidate # 502.684 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 502.684 * * [simplify]: iters left: 6 (26 enodes) 502.699 * * [simplify]: iters left: 5 (106 enodes) 502.740 * * [simplify]: iters left: 4 (204 enodes) 502.830 * * [simplify]: iters left: 3 (449 enodes) 503.038 * * [simplify]: Extracting #0: cost 1 inf + 0 503.038 * * [simplify]: Extracting #1: cost 83 inf + 0 503.039 * * [simplify]: Extracting #2: cost 169 inf + 1 503.041 * * [simplify]: Extracting #3: cost 181 inf + 1 503.042 * * [simplify]: Extracting #4: cost 201 inf + 1535 503.046 * * [simplify]: Extracting #5: cost 218 inf + 8862 503.056 * * [simplify]: Extracting #6: cost 145 inf + 44365 503.073 * * [simplify]: Extracting #7: cost 47 inf + 102175 503.103 * * [simplify]: Extracting #8: cost 2 inf + 119668 503.130 * * [simplify]: Extracting #9: cost 0 inf + 118716 503.175 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) 503.175 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 503.175 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 503.175 * * [simplify]: iters left: 6 (22 enodes) 503.181 * * [simplify]: iters left: 5 (93 enodes) 503.198 * * [simplify]: iters left: 4 (173 enodes) 503.247 * * [simplify]: iters left: 3 (308 enodes) 503.321 * * [simplify]: iters left: 2 (457 enodes) 503.467 * * [simplify]: Extracting #0: cost 1 inf + 0 503.467 * * [simplify]: Extracting #1: cost 24 inf + 0 503.467 * * [simplify]: Extracting #2: cost 45 inf + 0 503.467 * * [simplify]: Extracting #3: cost 71 inf + 0 503.468 * * [simplify]: Extracting #4: cost 197 inf + 62 503.469 * * [simplify]: Extracting #5: cost 232 inf + 3770 503.474 * * [simplify]: Extracting #6: cost 118 inf + 23767 503.494 * * [simplify]: Extracting #7: cost 16 inf + 47998 503.514 * * [simplify]: Extracting #8: cost 0 inf + 54201 503.535 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2))))) 503.535 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2))))))) 503.536 * * * * [progress]: [ 859 / 2703 ] simplifiying candidate # 503.536 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 503.536 * * [simplify]: iters left: 6 (27 enodes) 503.545 * * [simplify]: iters left: 5 (111 enodes) 503.567 * * [simplify]: iters left: 4 (225 enodes) 503.641 * * [simplify]: Extracting #0: cost 1 inf + 0 503.641 * * [simplify]: Extracting #1: cost 55 inf + 0 503.642 * * [simplify]: Extracting #2: cost 144 inf + 0 503.643 * * [simplify]: Extracting #3: cost 163 inf + 0 503.644 * * [simplify]: Extracting #4: cost 182 inf + 628 503.646 * * [simplify]: Extracting #5: cost 183 inf + 4661 503.651 * * [simplify]: Extracting #6: cost 138 inf + 17049 503.659 * * [simplify]: Extracting #7: cost 82 inf + 45759 503.671 * * [simplify]: Extracting #8: cost 25 inf + 83499 503.693 * * [simplify]: Extracting #9: cost 0 inf + 101993 503.722 * [simplify]: Simplified to (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) 503.722 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 503.722 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 503.723 * * [simplify]: iters left: 6 (23 enodes) 503.729 * * [simplify]: iters left: 5 (96 enodes) 503.749 * * [simplify]: iters left: 4 (176 enodes) 503.794 * * [simplify]: iters left: 3 (311 enodes) 503.870 * * [simplify]: iters left: 2 (461 enodes) 504.081 * * [simplify]: Extracting #0: cost 1 inf + 0 504.081 * * [simplify]: Extracting #1: cost 24 inf + 0 504.081 * * [simplify]: Extracting #2: cost 45 inf + 0 504.082 * * [simplify]: Extracting #3: cost 70 inf + 0 504.082 * * [simplify]: Extracting #4: cost 197 inf + 62 504.084 * * [simplify]: Extracting #5: cost 234 inf + 3496 504.089 * * [simplify]: Extracting #6: cost 70 inf + 31648 504.099 * * [simplify]: Extracting #7: cost 9 inf + 51964 504.110 * * [simplify]: Extracting #8: cost 0 inf + 55245 504.124 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) 504.124 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))))) 504.124 * * * * [progress]: [ 860 / 2703 ] simplifiying candidate # 504.124 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 504.124 * * [simplify]: iters left: 6 (27 enodes) 504.132 * * [simplify]: iters left: 5 (110 enodes) 504.161 * * [simplify]: iters left: 4 (216 enodes) 504.255 * * [simplify]: Extracting #0: cost 1 inf + 0 504.255 * * [simplify]: Extracting #1: cost 51 inf + 0 504.256 * * [simplify]: Extracting #2: cost 123 inf + 0 504.257 * * [simplify]: Extracting #3: cost 140 inf + 0 504.258 * * [simplify]: Extracting #4: cost 156 inf + 1151 504.260 * * [simplify]: Extracting #5: cost 154 inf + 6461 504.264 * * [simplify]: Extracting #6: cost 114 inf + 18819 504.280 * * [simplify]: Extracting #7: cost 41 inf + 58229 504.306 * * [simplify]: Extracting #8: cost 4 inf + 81588 504.321 * * [simplify]: Extracting #9: cost 0 inf + 83616 504.338 * [simplify]: Simplified to (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 504.338 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 504.338 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 504.339 * * [simplify]: iters left: 6 (23 enodes) 504.350 * * [simplify]: iters left: 5 (96 enodes) 504.371 * * [simplify]: iters left: 4 (176 enodes) 504.418 * * [simplify]: iters left: 3 (311 enodes) 504.526 * * [simplify]: iters left: 2 (461 enodes) 504.682 * * [simplify]: Extracting #0: cost 1 inf + 0 504.682 * * [simplify]: Extracting #1: cost 24 inf + 0 504.683 * * [simplify]: Extracting #2: cost 45 inf + 0 504.683 * * [simplify]: Extracting #3: cost 70 inf + 0 504.684 * * [simplify]: Extracting #4: cost 197 inf + 62 504.687 * * [simplify]: Extracting #5: cost 234 inf + 3536 504.698 * * [simplify]: Extracting #6: cost 70 inf + 31728 504.718 * * [simplify]: Extracting #7: cost 9 inf + 52044 504.739 * * [simplify]: Extracting #8: cost 0 inf + 55325 504.759 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) 504.759 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))))) 504.759 * * * * [progress]: [ 861 / 2703 ] simplifiying candidate # 504.759 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 504.760 * * [simplify]: iters left: 6 (26 enodes) 504.767 * * [simplify]: iters left: 5 (106 enodes) 504.790 * * [simplify]: iters left: 4 (212 enodes) 504.876 * * [simplify]: Extracting #0: cost 1 inf + 0 504.876 * * [simplify]: Extracting #1: cost 51 inf + 0 504.876 * * [simplify]: Extracting #2: cost 122 inf + 0 504.877 * * [simplify]: Extracting #3: cost 138 inf + 0 504.878 * * [simplify]: Extracting #4: cost 154 inf + 1573 504.880 * * [simplify]: Extracting #5: cost 151 inf + 6601 504.885 * * [simplify]: Extracting #6: cost 107 inf + 19685 504.896 * * [simplify]: Extracting #7: cost 54 inf + 46916 504.920 * * [simplify]: Extracting #8: cost 11 inf + 73560 504.952 * * [simplify]: Extracting #9: cost 0 inf + 81012 504.980 * * [simplify]: Extracting #10: cost 0 inf + 80921 505.008 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) 505.008 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 505.009 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 505.009 * * [simplify]: iters left: 6 (23 enodes) 505.021 * * [simplify]: iters left: 5 (96 enodes) 505.055 * * [simplify]: iters left: 4 (176 enodes) 505.124 * * [simplify]: iters left: 3 (311 enodes) 505.228 * * [simplify]: iters left: 2 (461 enodes) 505.368 * * [simplify]: Extracting #0: cost 1 inf + 0 505.369 * * [simplify]: Extracting #1: cost 24 inf + 0 505.369 * * [simplify]: Extracting #2: cost 45 inf + 0 505.369 * * [simplify]: Extracting #3: cost 70 inf + 0 505.370 * * [simplify]: Extracting #4: cost 197 inf + 62 505.373 * * [simplify]: Extracting #5: cost 234 inf + 3456 505.384 * * [simplify]: Extracting #6: cost 70 inf + 31328 505.407 * * [simplify]: Extracting #7: cost 9 inf + 51124 505.428 * * [simplify]: Extracting #8: cost 0 inf + 54325 505.448 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) 505.448 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))))) 505.449 * * * * [progress]: [ 862 / 2703 ] simplifiying candidate # 505.449 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 505.450 * * [simplify]: iters left: 6 (25 enodes) 505.464 * * [simplify]: iters left: 5 (104 enodes) 505.500 * * [simplify]: iters left: 4 (200 enodes) 505.547 * * [simplify]: iters left: 3 (439 enodes) 505.750 * * [simplify]: Extracting #0: cost 1 inf + 0 505.751 * * [simplify]: Extracting #1: cost 83 inf + 0 505.752 * * [simplify]: Extracting #2: cost 167 inf + 1 505.753 * * [simplify]: Extracting #3: cost 177 inf + 1 505.754 * * [simplify]: Extracting #4: cost 197 inf + 1012 505.756 * * [simplify]: Extracting #5: cost 203 inf + 13781 505.765 * * [simplify]: Extracting #6: cost 87 inf + 78656 505.784 * * [simplify]: Extracting #7: cost 26 inf + 105305 505.810 * * [simplify]: Extracting #8: cost 6 inf + 108593 505.859 * * [simplify]: Extracting #9: cost 0 inf + 111069 505.892 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) 505.892 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 505.893 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 505.893 * * [simplify]: iters left: 6 (22 enodes) 505.900 * * [simplify]: iters left: 5 (93 enodes) 505.916 * * [simplify]: iters left: 4 (173 enodes) 505.974 * * [simplify]: iters left: 3 (308 enodes) 506.055 * * [simplify]: iters left: 2 (457 enodes) 506.185 * * [simplify]: Extracting #0: cost 1 inf + 0 506.185 * * [simplify]: Extracting #1: cost 24 inf + 0 506.185 * * [simplify]: Extracting #2: cost 45 inf + 0 506.186 * * [simplify]: Extracting #3: cost 71 inf + 0 506.186 * * [simplify]: Extracting #4: cost 197 inf + 62 506.188 * * [simplify]: Extracting #5: cost 232 inf + 3650 506.192 * * [simplify]: Extracting #6: cost 118 inf + 23327 506.209 * * [simplify]: Extracting #7: cost 16 inf + 47118 506.226 * * [simplify]: Extracting #8: cost 0 inf + 53081 506.236 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 506.236 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))))) 506.236 * * * * [progress]: [ 863 / 2703 ] simplifiying candidate # 506.236 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 506.237 * * [simplify]: iters left: 6 (26 enodes) 506.244 * * [simplify]: iters left: 5 (106 enodes) 506.266 * * [simplify]: iters left: 4 (212 enodes) 506.354 * * [simplify]: Extracting #0: cost 1 inf + 0 506.354 * * [simplify]: Extracting #1: cost 51 inf + 0 506.355 * * [simplify]: Extracting #2: cost 122 inf + 0 506.355 * * [simplify]: Extracting #3: cost 138 inf + 0 506.356 * * [simplify]: Extracting #4: cost 154 inf + 1573 506.357 * * [simplify]: Extracting #5: cost 151 inf + 6601 506.359 * * [simplify]: Extracting #6: cost 107 inf + 19685 506.365 * * [simplify]: Extracting #7: cost 54 inf + 46916 506.388 * * [simplify]: Extracting #8: cost 11 inf + 73560 506.403 * * [simplify]: Extracting #9: cost 0 inf + 81012 506.420 * * [simplify]: Extracting #10: cost 0 inf + 80921 506.451 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) 506.451 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 506.452 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 506.452 * * [simplify]: iters left: 6 (23 enodes) 506.465 * * [simplify]: iters left: 5 (96 enodes) 506.497 * * [simplify]: iters left: 4 (176 enodes) 506.564 * * [simplify]: iters left: 3 (311 enodes) 506.638 * * [simplify]: iters left: 2 (461 enodes) 506.793 * * [simplify]: Extracting #0: cost 1 inf + 0 506.793 * * [simplify]: Extracting #1: cost 24 inf + 0 506.793 * * [simplify]: Extracting #2: cost 45 inf + 0 506.794 * * [simplify]: Extracting #3: cost 70 inf + 0 506.794 * * [simplify]: Extracting #4: cost 197 inf + 62 506.796 * * [simplify]: Extracting #5: cost 234 inf + 3456 506.804 * * [simplify]: Extracting #6: cost 70 inf + 31328 506.824 * * [simplify]: Extracting #7: cost 9 inf + 51124 506.837 * * [simplify]: Extracting #8: cost 0 inf + 54325 506.850 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) 506.850 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))))) 506.851 * * * * [progress]: [ 864 / 2703 ] simplifiying candidate # 506.851 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 506.851 * * [simplify]: iters left: 6 (24 enodes) 506.858 * * [simplify]: iters left: 5 (99 enodes) 506.892 * * [simplify]: iters left: 4 (197 enodes) 506.948 * * [simplify]: iters left: 3 (447 enodes) 507.118 * * [simplify]: Extracting #0: cost 1 inf + 0 507.118 * * [simplify]: Extracting #1: cost 81 inf + 0 507.119 * * [simplify]: Extracting #2: cost 168 inf + 1 507.121 * * [simplify]: Extracting #3: cost 178 inf + 1 507.122 * * [simplify]: Extracting #4: cost 197 inf + 1454 507.126 * * [simplify]: Extracting #5: cost 205 inf + 14843 507.147 * * [simplify]: Extracting #6: cost 101 inf + 75555 507.167 * * [simplify]: Extracting #7: cost 19 inf + 110577 507.204 * * [simplify]: Extracting #8: cost 1 inf + 111661 507.241 * * [simplify]: Extracting #9: cost 0 inf + 111913 507.265 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) 507.265 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 507.266 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 507.266 * * [simplify]: iters left: 6 (22 enodes) 507.274 * * [simplify]: iters left: 5 (93 enodes) 507.307 * * [simplify]: iters left: 4 (173 enodes) 507.346 * * [simplify]: iters left: 3 (308 enodes) 507.442 * * [simplify]: iters left: 2 (457 enodes) 507.601 * * [simplify]: Extracting #0: cost 1 inf + 0 507.601 * * [simplify]: Extracting #1: cost 24 inf + 0 507.602 * * [simplify]: Extracting #2: cost 45 inf + 0 507.602 * * [simplify]: Extracting #3: cost 71 inf + 0 507.602 * * [simplify]: Extracting #4: cost 197 inf + 62 507.604 * * [simplify]: Extracting #5: cost 232 inf + 3650 507.608 * * [simplify]: Extracting #6: cost 118 inf + 23327 507.617 * * [simplify]: Extracting #7: cost 16 inf + 47118 507.634 * * [simplify]: Extracting #8: cost 0 inf + 53081 507.659 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 507.659 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))))) 507.660 * * * * [progress]: [ 865 / 2703 ] simplifiying candidate # 507.660 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 507.661 * * [simplify]: iters left: 6 (28 enodes) 507.676 * * [simplify]: iters left: 5 (116 enodes) 507.720 * * [simplify]: iters left: 4 (232 enodes) 507.811 * * [simplify]: Extracting #0: cost 1 inf + 0 507.812 * * [simplify]: Extracting #1: cost 54 inf + 0 507.812 * * [simplify]: Extracting #2: cost 140 inf + 1 507.812 * * [simplify]: Extracting #3: cost 159 inf + 1 507.813 * * [simplify]: Extracting #4: cost 174 inf + 1495 507.814 * * [simplify]: Extracting #5: cost 166 inf + 7761 507.816 * * [simplify]: Extracting #6: cost 133 inf + 16392 507.822 * * [simplify]: Extracting #7: cost 73 inf + 46294 507.844 * * [simplify]: Extracting #8: cost 7 inf + 84739 507.861 * * [simplify]: Extracting #9: cost 0 inf + 89287 507.892 * [simplify]: Simplified to (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 507.892 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 507.893 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 507.893 * * [simplify]: iters left: 6 (22 enodes) 507.905 * * [simplify]: iters left: 5 (93 enodes) 507.932 * * [simplify]: iters left: 4 (173 enodes) 507.974 * * [simplify]: iters left: 3 (308 enodes) 508.075 * * [simplify]: iters left: 2 (457 enodes) 508.216 * * [simplify]: Extracting #0: cost 1 inf + 0 508.216 * * [simplify]: Extracting #1: cost 24 inf + 0 508.216 * * [simplify]: Extracting #2: cost 45 inf + 0 508.217 * * [simplify]: Extracting #3: cost 70 inf + 0 508.218 * * [simplify]: Extracting #4: cost 192 inf + 225 508.220 * * [simplify]: Extracting #5: cost 230 inf + 4626 508.230 * * [simplify]: Extracting #6: cost 112 inf + 25904 508.249 * * [simplify]: Extracting #7: cost 11 inf + 50175 508.270 * * [simplify]: Extracting #8: cost 0 inf + 54123 508.291 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 508.291 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 508.292 * * * * [progress]: [ 866 / 2703 ] simplifiying candidate # 508.292 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 508.293 * * [simplify]: iters left: 6 (28 enodes) 508.308 * * [simplify]: iters left: 5 (115 enodes) 508.357 * * [simplify]: iters left: 4 (223 enodes) 508.433 * * [simplify]: Extracting #0: cost 1 inf + 0 508.434 * * [simplify]: Extracting #1: cost 50 inf + 0 508.434 * * [simplify]: Extracting #2: cost 117 inf + 1 508.434 * * [simplify]: Extracting #3: cost 133 inf + 1 508.435 * * [simplify]: Extracting #4: cost 148 inf + 1516 508.436 * * [simplify]: Extracting #5: cost 143 inf + 7205 508.438 * * [simplify]: Extracting #6: cost 108 inf + 18212 508.456 * * [simplify]: Extracting #7: cost 35 inf + 54233 508.477 * * [simplify]: Extracting #8: cost 0 inf + 72479 508.491 * * [simplify]: Extracting #9: cost 0 inf + 71227 508.505 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 508.505 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 508.506 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 508.506 * * [simplify]: iters left: 6 (22 enodes) 508.517 * * [simplify]: iters left: 5 (93 enodes) 508.551 * * [simplify]: iters left: 4 (173 enodes) 508.605 * * [simplify]: iters left: 3 (308 enodes) 508.692 * * [simplify]: iters left: 2 (457 enodes) 508.851 * * [simplify]: Extracting #0: cost 1 inf + 0 508.851 * * [simplify]: Extracting #1: cost 24 inf + 0 508.851 * * [simplify]: Extracting #2: cost 45 inf + 0 508.852 * * [simplify]: Extracting #3: cost 70 inf + 0 508.853 * * [simplify]: Extracting #4: cost 192 inf + 225 508.855 * * [simplify]: Extracting #5: cost 230 inf + 4666 508.860 * * [simplify]: Extracting #6: cost 112 inf + 25984 508.873 * * [simplify]: Extracting #7: cost 11 inf + 50255 508.884 * * [simplify]: Extracting #8: cost 0 inf + 54203 508.902 * [simplify]: Simplified to (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 508.903 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 508.903 * * * * [progress]: [ 867 / 2703 ] simplifiying candidate # 508.903 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 508.904 * * [simplify]: iters left: 6 (27 enodes) 508.919 * * [simplify]: iters left: 5 (111 enodes) 508.949 * * [simplify]: iters left: 4 (219 enodes) 509.036 * * [simplify]: Extracting #0: cost 1 inf + 0 509.036 * * [simplify]: Extracting #1: cost 50 inf + 0 509.036 * * [simplify]: Extracting #2: cost 116 inf + 1 509.037 * * [simplify]: Extracting #3: cost 131 inf + 1 509.038 * * [simplify]: Extracting #4: cost 144 inf + 1898 509.040 * * [simplify]: Extracting #5: cost 140 inf + 7025 509.044 * * [simplify]: Extracting #6: cost 113 inf + 13666 509.056 * * [simplify]: Extracting #7: cost 57 inf + 36510 509.073 * * [simplify]: Extracting #8: cost 21 inf + 55735 509.096 * * [simplify]: Extracting #9: cost 2 inf + 67696 509.123 * * [simplify]: Extracting #10: cost 0 inf + 68903 509.151 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) 509.151 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 509.152 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 509.152 * * [simplify]: iters left: 6 (22 enodes) 509.164 * * [simplify]: iters left: 5 (93 enodes) 509.186 * * [simplify]: iters left: 4 (173 enodes) 509.221 * * [simplify]: iters left: 3 (308 enodes) 509.328 * * [simplify]: iters left: 2 (457 enodes) 509.479 * * [simplify]: Extracting #0: cost 1 inf + 0 509.479 * * [simplify]: Extracting #1: cost 24 inf + 0 509.480 * * [simplify]: Extracting #2: cost 45 inf + 0 509.480 * * [simplify]: Extracting #3: cost 70 inf + 0 509.480 * * [simplify]: Extracting #4: cost 192 inf + 225 509.482 * * [simplify]: Extracting #5: cost 230 inf + 4626 509.487 * * [simplify]: Extracting #6: cost 112 inf + 25544 509.503 * * [simplify]: Extracting #7: cost 11 inf + 49335 509.524 * * [simplify]: Extracting #8: cost 0 inf + 53203 509.540 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 509.540 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 509.540 * * * * [progress]: [ 868 / 2703 ] simplifiying candidate # 509.541 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt 1)) (sqrt 1))) 509.541 * * [simplify]: iters left: 6 (24 enodes) 509.548 * * [simplify]: iters left: 5 (101 enodes) 509.579 * * [simplify]: iters left: 4 (197 enodes) 509.637 * * [simplify]: iters left: 3 (392 enodes) 509.807 * * [simplify]: Extracting #0: cost 1 inf + 0 509.807 * * [simplify]: Extracting #1: cost 72 inf + 0 509.807 * * [simplify]: Extracting #2: cost 120 inf + 1 509.808 * * [simplify]: Extracting #3: cost 128 inf + 1 509.808 * * [simplify]: Extracting #4: cost 141 inf + 2204 509.810 * * [simplify]: Extracting #5: cost 148 inf + 14197 509.813 * * [simplify]: Extracting #6: cost 138 inf + 16746 509.817 * * [simplify]: Extracting #7: cost 71 inf + 40029 509.836 * * [simplify]: Extracting #8: cost 18 inf + 67260 509.867 * * [simplify]: Extracting #9: cost 0 inf + 75619 509.885 * * [simplify]: Extracting #10: cost 0 inf + 74163 509.900 * [simplify]: Simplified to (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 509.900 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 509.901 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 509.901 * * [simplify]: iters left: 6 (21 enodes) 509.911 * * [simplify]: iters left: 5 (90 enodes) 509.939 * * [simplify]: iters left: 4 (170 enodes) 509.982 * * [simplify]: iters left: 3 (305 enodes) 510.081 * * [simplify]: iters left: 2 (454 enodes) 510.227 * * [simplify]: Extracting #0: cost 1 inf + 0 510.227 * * [simplify]: Extracting #1: cost 24 inf + 0 510.227 * * [simplify]: Extracting #2: cost 45 inf + 0 510.227 * * [simplify]: Extracting #3: cost 71 inf + 0 510.229 * * [simplify]: Extracting #4: cost 194 inf + 63 510.231 * * [simplify]: Extracting #5: cost 217 inf + 7240 510.238 * * [simplify]: Extracting #6: cost 73 inf + 35360 510.252 * * [simplify]: Extracting #7: cost 6 inf + 50676 510.267 * * [simplify]: Extracting #8: cost 0 inf + 51919 510.281 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))) 510.281 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))))) 510.281 * * * * [progress]: [ 869 / 2703 ] simplifiying candidate # 510.281 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 510.281 * * [simplify]: iters left: 6 (27 enodes) 510.289 * * [simplify]: iters left: 5 (111 enodes) 510.312 * * [simplify]: iters left: 4 (219 enodes) 510.391 * * [simplify]: Extracting #0: cost 1 inf + 0 510.391 * * [simplify]: Extracting #1: cost 50 inf + 0 510.391 * * [simplify]: Extracting #2: cost 116 inf + 1 510.392 * * [simplify]: Extracting #3: cost 131 inf + 1 510.393 * * [simplify]: Extracting #4: cost 144 inf + 1898 510.395 * * [simplify]: Extracting #5: cost 140 inf + 7025 510.399 * * [simplify]: Extracting #6: cost 113 inf + 13666 510.409 * * [simplify]: Extracting #7: cost 57 inf + 36510 510.422 * * [simplify]: Extracting #8: cost 21 inf + 55735 510.434 * * [simplify]: Extracting #9: cost 2 inf + 67696 510.453 * * [simplify]: Extracting #10: cost 0 inf + 68903 510.473 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) 510.473 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 510.473 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 510.473 * * [simplify]: iters left: 6 (22 enodes) 510.480 * * [simplify]: iters left: 5 (93 enodes) 510.511 * * [simplify]: iters left: 4 (173 enodes) 510.567 * * [simplify]: iters left: 3 (308 enodes) 510.672 * * [simplify]: iters left: 2 (457 enodes) 510.843 * * [simplify]: Extracting #0: cost 1 inf + 0 510.843 * * [simplify]: Extracting #1: cost 24 inf + 0 510.843 * * [simplify]: Extracting #2: cost 45 inf + 0 510.843 * * [simplify]: Extracting #3: cost 70 inf + 0 510.844 * * [simplify]: Extracting #4: cost 192 inf + 225 510.847 * * [simplify]: Extracting #5: cost 230 inf + 4626 510.857 * * [simplify]: Extracting #6: cost 112 inf + 25544 510.876 * * [simplify]: Extracting #7: cost 11 inf + 49335 510.898 * * [simplify]: Extracting #8: cost 0 inf + 53203 510.911 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 510.911 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 510.911 * * * * [progress]: [ 870 / 2703 ] simplifiying candidate # 510.911 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt 1)) 1)) 510.911 * * [simplify]: iters left: 6 (24 enodes) 510.922 * * [simplify]: iters left: 5 (99 enodes) 510.952 * * [simplify]: iters left: 4 (186 enodes) 511.003 * * [simplify]: iters left: 3 (384 enodes) 511.151 * * [simplify]: Extracting #0: cost 1 inf + 0 511.151 * * [simplify]: Extracting #1: cost 54 inf + 0 511.152 * * [simplify]: Extracting #2: cost 89 inf + 1 511.152 * * [simplify]: Extracting #3: cost 96 inf + 1 511.153 * * [simplify]: Extracting #4: cost 112 inf + 1859 511.156 * * [simplify]: Extracting #5: cost 128 inf + 11058 511.161 * * [simplify]: Extracting #6: cost 104 inf + 15917 511.166 * * [simplify]: Extracting #7: cost 65 inf + 30085 511.177 * * [simplify]: Extracting #8: cost 13 inf + 54095 511.189 * * [simplify]: Extracting #9: cost 0 inf + 60496 511.204 * [simplify]: Simplified to (/ (/ (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) 511.204 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 511.204 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 511.204 * * [simplify]: iters left: 6 (21 enodes) 511.210 * * [simplify]: iters left: 5 (90 enodes) 511.239 * * [simplify]: iters left: 4 (170 enodes) 511.275 * * [simplify]: iters left: 3 (305 enodes) 511.358 * * [simplify]: iters left: 2 (454 enodes) 511.505 * * [simplify]: Extracting #0: cost 1 inf + 0 511.505 * * [simplify]: Extracting #1: cost 24 inf + 0 511.505 * * [simplify]: Extracting #2: cost 45 inf + 0 511.505 * * [simplify]: Extracting #3: cost 71 inf + 0 511.506 * * [simplify]: Extracting #4: cost 194 inf + 63 511.508 * * [simplify]: Extracting #5: cost 217 inf + 7240 511.519 * * [simplify]: Extracting #6: cost 73 inf + 35360 511.539 * * [simplify]: Extracting #7: cost 6 inf + 50676 511.558 * * [simplify]: Extracting #8: cost 0 inf + 51919 511.572 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))) 511.572 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))))) 511.572 * * * * [progress]: [ 871 / 2703 ] simplifiying candidate # 511.573 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 511.573 * * [simplify]: iters left: 6 (27 enodes) 511.582 * * [simplify]: iters left: 5 (111 enodes) 511.625 * * [simplify]: iters left: 4 (225 enodes) 511.728 * * [simplify]: Extracting #0: cost 1 inf + 0 511.728 * * [simplify]: Extracting #1: cost 55 inf + 0 511.729 * * [simplify]: Extracting #2: cost 144 inf + 0 511.730 * * [simplify]: Extracting #3: cost 163 inf + 0 511.731 * * [simplify]: Extracting #4: cost 182 inf + 628 511.733 * * [simplify]: Extracting #5: cost 183 inf + 4661 511.737 * * [simplify]: Extracting #6: cost 138 inf + 17049 511.750 * * [simplify]: Extracting #7: cost 82 inf + 45759 511.774 * * [simplify]: Extracting #8: cost 25 inf + 83499 511.810 * * [simplify]: Extracting #9: cost 0 inf + 101993 511.839 * [simplify]: Simplified to (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) 511.840 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 511.840 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 511.840 * * [simplify]: iters left: 6 (23 enodes) 511.846 * * [simplify]: iters left: 5 (96 enodes) 511.871 * * [simplify]: iters left: 4 (176 enodes) 511.920 * * [simplify]: iters left: 3 (311 enodes) 512.009 * * [simplify]: iters left: 2 (461 enodes) 512.148 * * [simplify]: Extracting #0: cost 1 inf + 0 512.148 * * [simplify]: Extracting #1: cost 24 inf + 0 512.148 * * [simplify]: Extracting #2: cost 45 inf + 0 512.149 * * [simplify]: Extracting #3: cost 70 inf + 0 512.149 * * [simplify]: Extracting #4: cost 197 inf + 62 512.151 * * [simplify]: Extracting #5: cost 234 inf + 3496 512.161 * * [simplify]: Extracting #6: cost 70 inf + 31648 512.172 * * [simplify]: Extracting #7: cost 9 inf + 51964 512.183 * * [simplify]: Extracting #8: cost 0 inf + 55245 512.198 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) 512.198 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))))) 512.198 * * * * [progress]: [ 872 / 2703 ] simplifiying candidate # 512.199 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 512.199 * * [simplify]: iters left: 6 (27 enodes) 512.213 * * [simplify]: iters left: 5 (110 enodes) 512.242 * * [simplify]: iters left: 4 (216 enodes) 512.327 * * [simplify]: Extracting #0: cost 1 inf + 0 512.327 * * [simplify]: Extracting #1: cost 51 inf + 0 512.328 * * [simplify]: Extracting #2: cost 123 inf + 0 512.328 * * [simplify]: Extracting #3: cost 140 inf + 0 512.330 * * [simplify]: Extracting #4: cost 156 inf + 1151 512.331 * * [simplify]: Extracting #5: cost 154 inf + 6461 512.333 * * [simplify]: Extracting #6: cost 114 inf + 18819 512.341 * * [simplify]: Extracting #7: cost 41 inf + 58229 512.357 * * [simplify]: Extracting #8: cost 4 inf + 81588 512.386 * * [simplify]: Extracting #9: cost 0 inf + 83616 512.415 * [simplify]: Simplified to (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 512.416 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 512.416 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 512.417 * * [simplify]: iters left: 6 (23 enodes) 512.428 * * [simplify]: iters left: 5 (96 enodes) 512.462 * * [simplify]: iters left: 4 (176 enodes) 512.534 * * [simplify]: iters left: 3 (311 enodes) 513.040 * * [simplify]: iters left: 2 (461 enodes) 513.176 * * [simplify]: Extracting #0: cost 1 inf + 0 513.176 * * [simplify]: Extracting #1: cost 24 inf + 0 513.176 * * [simplify]: Extracting #2: cost 45 inf + 0 513.176 * * [simplify]: Extracting #3: cost 70 inf + 0 513.176 * * [simplify]: Extracting #4: cost 197 inf + 62 513.178 * * [simplify]: Extracting #5: cost 234 inf + 3536 513.183 * * [simplify]: Extracting #6: cost 70 inf + 31728 513.198 * * [simplify]: Extracting #7: cost 9 inf + 52044 513.210 * * [simplify]: Extracting #8: cost 0 inf + 55325 513.221 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) 513.221 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))))) 513.221 * * * * [progress]: [ 873 / 2703 ] simplifiying candidate # 513.221 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 513.222 * * [simplify]: iters left: 6 (26 enodes) 513.229 * * [simplify]: iters left: 5 (106 enodes) 513.268 * * [simplify]: iters left: 4 (212 enodes) 513.343 * * [simplify]: Extracting #0: cost 1 inf + 0 513.343 * * [simplify]: Extracting #1: cost 51 inf + 0 513.343 * * [simplify]: Extracting #2: cost 122 inf + 0 513.344 * * [simplify]: Extracting #3: cost 138 inf + 0 513.344 * * [simplify]: Extracting #4: cost 154 inf + 1573 513.345 * * [simplify]: Extracting #5: cost 151 inf + 6601 513.348 * * [simplify]: Extracting #6: cost 107 inf + 19685 513.355 * * [simplify]: Extracting #7: cost 54 inf + 46916 513.378 * * [simplify]: Extracting #8: cost 11 inf + 73560 513.407 * * [simplify]: Extracting #9: cost 0 inf + 81012 513.435 * * [simplify]: Extracting #10: cost 0 inf + 80921 513.467 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) 513.467 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 513.468 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 513.468 * * [simplify]: iters left: 6 (23 enodes) 513.480 * * [simplify]: iters left: 5 (96 enodes) 513.514 * * [simplify]: iters left: 4 (176 enodes) 513.580 * * [simplify]: iters left: 3 (311 enodes) 513.698 * * [simplify]: iters left: 2 (461 enodes) 513.864 * * [simplify]: Extracting #0: cost 1 inf + 0 513.864 * * [simplify]: Extracting #1: cost 24 inf + 0 513.864 * * [simplify]: Extracting #2: cost 45 inf + 0 513.865 * * [simplify]: Extracting #3: cost 70 inf + 0 513.866 * * [simplify]: Extracting #4: cost 197 inf + 62 513.868 * * [simplify]: Extracting #5: cost 234 inf + 3456 513.879 * * [simplify]: Extracting #6: cost 70 inf + 31328 513.891 * * [simplify]: Extracting #7: cost 9 inf + 51124 513.902 * * [simplify]: Extracting #8: cost 0 inf + 54325 513.915 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) 513.915 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))))) 513.916 * * * * [progress]: [ 874 / 2703 ] simplifiying candidate # 513.916 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 513.916 * * [simplify]: iters left: 6 (25 enodes) 513.924 * * [simplify]: iters left: 5 (104 enodes) 513.962 * * [simplify]: iters left: 4 (200 enodes) 514.045 * * [simplify]: iters left: 3 (439 enodes) 514.234 * * [simplify]: Extracting #0: cost 1 inf + 0 514.234 * * [simplify]: Extracting #1: cost 83 inf + 0 514.235 * * [simplify]: Extracting #2: cost 167 inf + 1 514.237 * * [simplify]: Extracting #3: cost 177 inf + 1 514.238 * * [simplify]: Extracting #4: cost 197 inf + 1012 514.244 * * [simplify]: Extracting #5: cost 203 inf + 13781 514.253 * * [simplify]: Extracting #6: cost 87 inf + 78656 514.271 * * [simplify]: Extracting #7: cost 26 inf + 105305 514.303 * * [simplify]: Extracting #8: cost 6 inf + 108593 514.347 * * [simplify]: Extracting #9: cost 0 inf + 111069 514.391 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) 514.391 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 514.392 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 514.392 * * [simplify]: iters left: 6 (22 enodes) 514.404 * * [simplify]: iters left: 5 (93 enodes) 514.437 * * [simplify]: iters left: 4 (173 enodes) 514.502 * * [simplify]: iters left: 3 (308 enodes) 514.591 * * [simplify]: iters left: 2 (457 enodes) 514.762 * * [simplify]: Extracting #0: cost 1 inf + 0 514.763 * * [simplify]: Extracting #1: cost 24 inf + 0 514.763 * * [simplify]: Extracting #2: cost 45 inf + 0 514.763 * * [simplify]: Extracting #3: cost 71 inf + 0 514.763 * * [simplify]: Extracting #4: cost 197 inf + 62 514.765 * * [simplify]: Extracting #5: cost 232 inf + 3650 514.770 * * [simplify]: Extracting #6: cost 118 inf + 23327 514.779 * * [simplify]: Extracting #7: cost 16 inf + 47118 514.790 * * [simplify]: Extracting #8: cost 0 inf + 53081 514.810 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 514.810 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))))) 514.811 * * * * [progress]: [ 875 / 2703 ] simplifiying candidate # 514.811 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 514.811 * * [simplify]: iters left: 6 (26 enodes) 514.830 * * [simplify]: iters left: 5 (106 enodes) 514.871 * * [simplify]: iters left: 4 (212 enodes) 514.960 * * [simplify]: Extracting #0: cost 1 inf + 0 514.961 * * [simplify]: Extracting #1: cost 51 inf + 0 514.961 * * [simplify]: Extracting #2: cost 122 inf + 0 514.962 * * [simplify]: Extracting #3: cost 138 inf + 0 514.963 * * [simplify]: Extracting #4: cost 154 inf + 1573 514.965 * * [simplify]: Extracting #5: cost 151 inf + 6601 514.973 * * [simplify]: Extracting #6: cost 107 inf + 19685 514.985 * * [simplify]: Extracting #7: cost 54 inf + 46916 515.008 * * [simplify]: Extracting #8: cost 11 inf + 73560 515.037 * * [simplify]: Extracting #9: cost 0 inf + 81012 515.061 * * [simplify]: Extracting #10: cost 0 inf + 80921 515.076 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) 515.076 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 515.077 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 515.077 * * [simplify]: iters left: 6 (23 enodes) 515.083 * * [simplify]: iters left: 5 (96 enodes) 515.110 * * [simplify]: iters left: 4 (176 enodes) 515.152 * * [simplify]: iters left: 3 (311 enodes) 515.268 * * [simplify]: iters left: 2 (461 enodes) 515.487 * * [simplify]: Extracting #0: cost 1 inf + 0 515.488 * * [simplify]: Extracting #1: cost 24 inf + 0 515.488 * * [simplify]: Extracting #2: cost 45 inf + 0 515.488 * * [simplify]: Extracting #3: cost 70 inf + 0 515.488 * * [simplify]: Extracting #4: cost 197 inf + 62 515.490 * * [simplify]: Extracting #5: cost 234 inf + 3456 515.495 * * [simplify]: Extracting #6: cost 70 inf + 31328 515.505 * * [simplify]: Extracting #7: cost 9 inf + 51124 515.518 * * [simplify]: Extracting #8: cost 0 inf + 54325 515.538 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))) 515.538 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2))))))) 515.538 * * * * [progress]: [ 876 / 2703 ] simplifiying candidate # 515.539 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 515.539 * * [simplify]: iters left: 6 (24 enodes) 515.552 * * [simplify]: iters left: 5 (99 enodes) 515.590 * * [simplify]: iters left: 4 (197 enodes) 515.663 * * [simplify]: iters left: 3 (447 enodes) 515.861 * * [simplify]: Extracting #0: cost 1 inf + 0 515.862 * * [simplify]: Extracting #1: cost 81 inf + 0 515.863 * * [simplify]: Extracting #2: cost 168 inf + 1 515.864 * * [simplify]: Extracting #3: cost 178 inf + 1 515.866 * * [simplify]: Extracting #4: cost 197 inf + 1454 515.870 * * [simplify]: Extracting #5: cost 205 inf + 14843 515.890 * * [simplify]: Extracting #6: cost 101 inf + 75555 515.934 * * [simplify]: Extracting #7: cost 19 inf + 110577 515.962 * * [simplify]: Extracting #8: cost 1 inf + 111661 515.994 * * [simplify]: Extracting #9: cost 0 inf + 111913 516.029 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) 516.029 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 516.030 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 516.030 * * [simplify]: iters left: 6 (22 enodes) 516.036 * * [simplify]: iters left: 5 (93 enodes) 516.054 * * [simplify]: iters left: 4 (173 enodes) 516.107 * * [simplify]: iters left: 3 (308 enodes) 516.192 * * [simplify]: iters left: 2 (457 enodes) 516.339 * * [simplify]: Extracting #0: cost 1 inf + 0 516.339 * * [simplify]: Extracting #1: cost 24 inf + 0 516.340 * * [simplify]: Extracting #2: cost 45 inf + 0 516.340 * * [simplify]: Extracting #3: cost 71 inf + 0 516.341 * * [simplify]: Extracting #4: cost 197 inf + 62 516.343 * * [simplify]: Extracting #5: cost 232 inf + 3650 516.353 * * [simplify]: Extracting #6: cost 118 inf + 23327 516.365 * * [simplify]: Extracting #7: cost 16 inf + 47118 516.375 * * [simplify]: Extracting #8: cost 0 inf + 53081 516.385 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 516.385 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))))) 516.386 * * * * [progress]: [ 877 / 2703 ] simplifiying candidate # 516.386 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 516.386 * * [simplify]: iters left: 6 (27 enodes) 516.397 * * [simplify]: iters left: 5 (113 enodes) 516.429 * * [simplify]: iters left: 4 (225 enodes) 516.483 * * [simplify]: Extracting #0: cost 1 inf + 0 516.483 * * [simplify]: Extracting #1: cost 48 inf + 0 516.484 * * [simplify]: Extracting #2: cost 135 inf + 1 516.484 * * [simplify]: Extracting #3: cost 157 inf + 1 516.485 * * [simplify]: Extracting #4: cost 173 inf + 1575 516.486 * * [simplify]: Extracting #5: cost 169 inf + 6841 516.488 * * [simplify]: Extracting #6: cost 130 inf + 17353 516.501 * * [simplify]: Extracting #7: cost 42 inf + 66136 516.517 * * [simplify]: Extracting #8: cost 0 inf + 90908 516.537 * * [simplify]: Extracting #9: cost 0 inf + 89492 516.555 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))))) 516.555 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 516.555 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 516.555 * * [simplify]: iters left: 6 (22 enodes) 516.561 * * [simplify]: iters left: 5 (93 enodes) 516.585 * * [simplify]: iters left: 4 (173 enodes) 516.655 * * [simplify]: iters left: 3 (308 enodes) 516.773 * * [simplify]: iters left: 2 (457 enodes) 516.993 * * [simplify]: Extracting #0: cost 1 inf + 0 516.993 * * [simplify]: Extracting #1: cost 24 inf + 0 516.993 * * [simplify]: Extracting #2: cost 45 inf + 0 516.993 * * [simplify]: Extracting #3: cost 70 inf + 0 516.994 * * [simplify]: Extracting #4: cost 192 inf + 225 516.997 * * [simplify]: Extracting #5: cost 230 inf + 4626 517.008 * * [simplify]: Extracting #6: cost 112 inf + 25904 517.018 * * [simplify]: Extracting #7: cost 11 inf + 50175 517.028 * * [simplify]: Extracting #8: cost 0 inf + 54123 517.044 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 517.044 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 517.044 * * * * [progress]: [ 878 / 2703 ] simplifiying candidate # 517.045 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 517.045 * * [simplify]: iters left: 6 (27 enodes) 517.061 * * [simplify]: iters left: 5 (112 enodes) 517.099 * * [simplify]: iters left: 4 (215 enodes) 517.165 * * [simplify]: iters left: 3 (496 enodes) 517.410 * * [simplify]: Extracting #0: cost 1 inf + 0 517.410 * * [simplify]: Extracting #1: cost 116 inf + 0 517.411 * * [simplify]: Extracting #2: cost 220 inf + 1 517.411 * * [simplify]: Extracting #3: cost 230 inf + 1 517.412 * * [simplify]: Extracting #4: cost 249 inf + 1256 517.414 * * [simplify]: Extracting #5: cost 285 inf + 4452 517.417 * * [simplify]: Extracting #6: cost 246 inf + 18410 517.426 * * [simplify]: Extracting #7: cost 165 inf + 53618 517.444 * * [simplify]: Extracting #8: cost 73 inf + 104991 517.495 * * [simplify]: Extracting #9: cost 7 inf + 148624 517.561 * * [simplify]: Extracting #10: cost 0 inf + 153875 517.623 * [simplify]: Simplified to (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 517.624 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 517.624 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 517.624 * * [simplify]: iters left: 6 (22 enodes) 517.636 * * [simplify]: iters left: 5 (93 enodes) 517.668 * * [simplify]: iters left: 4 (173 enodes) 517.703 * * [simplify]: iters left: 3 (308 enodes) 517.780 * * [simplify]: iters left: 2 (457 enodes) 517.979 * * [simplify]: Extracting #0: cost 1 inf + 0 517.979 * * [simplify]: Extracting #1: cost 24 inf + 0 517.979 * * [simplify]: Extracting #2: cost 45 inf + 0 517.979 * * [simplify]: Extracting #3: cost 70 inf + 0 517.980 * * [simplify]: Extracting #4: cost 192 inf + 225 517.981 * * [simplify]: Extracting #5: cost 230 inf + 4666 517.989 * * [simplify]: Extracting #6: cost 112 inf + 25984 518.008 * * [simplify]: Extracting #7: cost 11 inf + 50255 518.028 * * [simplify]: Extracting #8: cost 0 inf + 54203 518.048 * [simplify]: Simplified to (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 518.049 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 518.049 * * * * [progress]: [ 879 / 2703 ] simplifiying candidate # 518.049 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 518.050 * * [simplify]: iters left: 6 (26 enodes) 518.060 * * [simplify]: iters left: 5 (108 enodes) 518.081 * * [simplify]: iters left: 4 (211 enodes) 518.171 * * [simplify]: iters left: 3 (490 enodes) 518.414 * * [simplify]: Extracting #0: cost 1 inf + 0 518.414 * * [simplify]: Extracting #1: cost 117 inf + 0 518.415 * * [simplify]: Extracting #2: cost 220 inf + 1 518.416 * * [simplify]: Extracting #3: cost 229 inf + 1 518.417 * * [simplify]: Extracting #4: cost 252 inf + 930 518.419 * * [simplify]: Extracting #5: cost 267 inf + 12646 518.426 * * [simplify]: Extracting #6: cost 190 inf + 50670 518.465 * * [simplify]: Extracting #7: cost 50 inf + 126011 518.527 * * [simplify]: Extracting #8: cost 4 inf + 148380 518.594 * * [simplify]: Extracting #9: cost 0 inf + 148856 518.658 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 518.658 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 518.658 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 518.659 * * [simplify]: iters left: 6 (22 enodes) 518.670 * * [simplify]: iters left: 5 (93 enodes) 518.704 * * [simplify]: iters left: 4 (173 enodes) 518.740 * * [simplify]: iters left: 3 (308 enodes) 518.810 * * [simplify]: iters left: 2 (457 enodes) 518.938 * * [simplify]: Extracting #0: cost 1 inf + 0 518.938 * * [simplify]: Extracting #1: cost 24 inf + 0 518.939 * * [simplify]: Extracting #2: cost 45 inf + 0 518.939 * * [simplify]: Extracting #3: cost 70 inf + 0 518.939 * * [simplify]: Extracting #4: cost 192 inf + 225 518.941 * * [simplify]: Extracting #5: cost 230 inf + 4626 518.946 * * [simplify]: Extracting #6: cost 112 inf + 25544 518.958 * * [simplify]: Extracting #7: cost 11 inf + 49335 518.971 * * [simplify]: Extracting #8: cost 0 inf + 53203 518.992 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 518.992 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 518.993 * * * * [progress]: [ 880 / 2703 ] simplifiying candidate # 518.993 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt 1) (sqrt 1))) 518.993 * * [simplify]: iters left: 6 (24 enodes) 519.005 * * [simplify]: iters left: 5 (101 enodes) 519.025 * * [simplify]: iters left: 4 (188 enodes) 519.106 * * [simplify]: iters left: 3 (388 enodes) 519.250 * * [simplify]: Extracting #0: cost 1 inf + 0 519.250 * * [simplify]: Extracting #1: cost 54 inf + 0 519.251 * * [simplify]: Extracting #2: cost 89 inf + 1 519.251 * * [simplify]: Extracting #3: cost 96 inf + 1 519.252 * * [simplify]: Extracting #4: cost 114 inf + 1515 519.254 * * [simplify]: Extracting #5: cost 131 inf + 9315 519.263 * * [simplify]: Extracting #6: cost 90 inf + 21574 519.281 * * [simplify]: Extracting #7: cost 20 inf + 52522 519.303 * * [simplify]: Extracting #8: cost 2 inf + 60455 519.316 * * [simplify]: Extracting #9: cost 0 inf + 60959 519.328 * [simplify]: Simplified to (* (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 519.328 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 519.328 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 519.329 * * [simplify]: iters left: 6 (21 enodes) 519.335 * * [simplify]: iters left: 5 (90 enodes) 519.365 * * [simplify]: iters left: 4 (170 enodes) 519.405 * * [simplify]: iters left: 3 (305 enodes) 519.492 * * [simplify]: iters left: 2 (454 enodes) 519.627 * * [simplify]: Extracting #0: cost 1 inf + 0 519.627 * * [simplify]: Extracting #1: cost 24 inf + 0 519.627 * * [simplify]: Extracting #2: cost 45 inf + 0 519.628 * * [simplify]: Extracting #3: cost 71 inf + 0 519.629 * * [simplify]: Extracting #4: cost 194 inf + 63 519.632 * * [simplify]: Extracting #5: cost 217 inf + 7240 519.651 * * [simplify]: Extracting #6: cost 73 inf + 35360 519.670 * * [simplify]: Extracting #7: cost 6 inf + 50676 519.682 * * [simplify]: Extracting #8: cost 0 inf + 51919 519.693 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))) 519.693 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))))) 519.693 * * * * [progress]: [ 881 / 2703 ] simplifiying candidate # 519.693 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 519.693 * * [simplify]: iters left: 6 (26 enodes) 519.701 * * [simplify]: iters left: 5 (108 enodes) 519.723 * * [simplify]: iters left: 4 (211 enodes) 519.787 * * [simplify]: iters left: 3 (490 enodes) 520.034 * * [simplify]: Extracting #0: cost 1 inf + 0 520.034 * * [simplify]: Extracting #1: cost 117 inf + 0 520.035 * * [simplify]: Extracting #2: cost 220 inf + 1 520.036 * * [simplify]: Extracting #3: cost 229 inf + 1 520.037 * * [simplify]: Extracting #4: cost 252 inf + 930 520.039 * * [simplify]: Extracting #5: cost 267 inf + 12646 520.046 * * [simplify]: Extracting #6: cost 190 inf + 50670 520.081 * * [simplify]: Extracting #7: cost 50 inf + 126011 520.117 * * [simplify]: Extracting #8: cost 4 inf + 148380 520.166 * * [simplify]: Extracting #9: cost 0 inf + 148856 520.209 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 520.209 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 520.210 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 520.210 * * [simplify]: iters left: 6 (22 enodes) 520.216 * * [simplify]: iters left: 5 (93 enodes) 520.232 * * [simplify]: iters left: 4 (173 enodes) 520.283 * * [simplify]: iters left: 3 (308 enodes) 520.357 * * [simplify]: iters left: 2 (457 enodes) 520.497 * * [simplify]: Extracting #0: cost 1 inf + 0 520.497 * * [simplify]: Extracting #1: cost 24 inf + 0 520.497 * * [simplify]: Extracting #2: cost 45 inf + 0 520.498 * * [simplify]: Extracting #3: cost 70 inf + 0 520.498 * * [simplify]: Extracting #4: cost 192 inf + 225 520.499 * * [simplify]: Extracting #5: cost 230 inf + 4626 520.504 * * [simplify]: Extracting #6: cost 112 inf + 25544 520.524 * * [simplify]: Extracting #7: cost 11 inf + 49335 520.544 * * [simplify]: Extracting #8: cost 0 inf + 53203 520.565 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 520.565 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 520.565 * * * * [progress]: [ 882 / 2703 ] simplifiying candidate # 520.566 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt 1) 1)) 520.566 * * [simplify]: iters left: 6 (23 enodes) 520.581 * * [simplify]: iters left: 5 (96 enodes) 520.601 * * [simplify]: iters left: 4 (183 enodes) 520.645 * * [simplify]: iters left: 3 (381 enodes) 520.792 * * [simplify]: Extracting #0: cost 1 inf + 0 520.792 * * [simplify]: Extracting #1: cost 54 inf + 0 520.793 * * [simplify]: Extracting #2: cost 89 inf + 1 520.793 * * [simplify]: Extracting #3: cost 96 inf + 1 520.794 * * [simplify]: Extracting #4: cost 110 inf + 2803 520.795 * * [simplify]: Extracting #5: cost 128 inf + 10858 520.803 * * [simplify]: Extracting #6: cost 94 inf + 25741 520.817 * * [simplify]: Extracting #7: cost 36 inf + 50308 520.839 * * [simplify]: Extracting #8: cost 3 inf + 60239 520.863 * * [simplify]: Extracting #9: cost 0 inf + 60496 520.877 * [simplify]: Simplified to (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 520.877 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 520.877 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 520.878 * * [simplify]: iters left: 6 (21 enodes) 520.883 * * [simplify]: iters left: 5 (90 enodes) 520.901 * * [simplify]: iters left: 4 (170 enodes) 520.949 * * [simplify]: iters left: 3 (305 enodes) 521.055 * * [simplify]: iters left: 2 (454 enodes) 521.216 * * [simplify]: Extracting #0: cost 1 inf + 0 521.216 * * [simplify]: Extracting #1: cost 24 inf + 0 521.216 * * [simplify]: Extracting #2: cost 45 inf + 0 521.216 * * [simplify]: Extracting #3: cost 71 inf + 0 521.218 * * [simplify]: Extracting #4: cost 194 inf + 63 521.221 * * [simplify]: Extracting #5: cost 217 inf + 7240 521.235 * * [simplify]: Extracting #6: cost 73 inf + 35360 521.246 * * [simplify]: Extracting #7: cost 6 inf + 50676 521.261 * * [simplify]: Extracting #8: cost 0 inf + 51919 521.274 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))) 521.274 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))))) 521.274 * * * * [progress]: [ 883 / 2703 ] simplifiying candidate # 521.274 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 521.274 * * [simplify]: iters left: 6 (27 enodes) 521.281 * * [simplify]: iters left: 5 (115 enodes) 521.312 * * [simplify]: iters left: 4 (257 enodes) 521.389 * * [simplify]: Extracting #0: cost 1 inf + 0 521.389 * * [simplify]: Extracting #1: cost 86 inf + 0 521.390 * * [simplify]: Extracting #2: cost 219 inf + 0 521.392 * * [simplify]: Extracting #3: cost 241 inf + 0 521.394 * * [simplify]: Extracting #4: cost 245 inf + 4471 521.399 * * [simplify]: Extracting #5: cost 228 inf + 21242 521.416 * * [simplify]: Extracting #6: cost 157 inf + 61190 521.452 * * [simplify]: Extracting #7: cost 43 inf + 131325 521.494 * * [simplify]: Extracting #8: cost 0 inf + 158788 521.526 * * [simplify]: Extracting #9: cost 0 inf + 158268 521.558 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 521.558 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 521.559 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 521.559 * * [simplify]: iters left: 6 (23 enodes) 521.565 * * [simplify]: iters left: 5 (96 enodes) 521.582 * * [simplify]: iters left: 4 (176 enodes) 521.626 * * [simplify]: iters left: 3 (311 enodes) 521.731 * * [simplify]: iters left: 2 (461 enodes) 521.885 * * [simplify]: Extracting #0: cost 1 inf + 0 521.885 * * [simplify]: Extracting #1: cost 24 inf + 0 521.886 * * [simplify]: Extracting #2: cost 45 inf + 0 521.886 * * [simplify]: Extracting #3: cost 70 inf + 0 521.887 * * [simplify]: Extracting #4: cost 197 inf + 62 521.890 * * [simplify]: Extracting #5: cost 234 inf + 3536 521.901 * * [simplify]: Extracting #6: cost 70 inf + 32048 521.920 * * [simplify]: Extracting #7: cost 9 inf + 52964 521.941 * * [simplify]: Extracting #8: cost 0 inf + 56285 521.956 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) 521.956 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))))) 521.956 * * * * [progress]: [ 884 / 2703 ] simplifiying candidate # 521.956 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 521.957 * * [simplify]: iters left: 6 (27 enodes) 521.964 * * [simplify]: iters left: 5 (112 enodes) 521.990 * * [simplify]: iters left: 4 (230 enodes) 522.061 * * [simplify]: Extracting #0: cost 1 inf + 0 522.061 * * [simplify]: Extracting #1: cost 69 inf + 0 522.062 * * [simplify]: Extracting #2: cost 168 inf + 0 522.063 * * [simplify]: Extracting #3: cost 187 inf + 0 522.065 * * [simplify]: Extracting #4: cost 195 inf + 3544 522.070 * * [simplify]: Extracting #5: cost 165 inf + 27775 522.085 * * [simplify]: Extracting #6: cost 68 inf + 89324 522.104 * * [simplify]: Extracting #7: cost 5 inf + 116351 522.140 * * [simplify]: Extracting #8: cost 0 inf + 116542 522.181 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 522.181 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 522.182 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 522.182 * * [simplify]: iters left: 6 (23 enodes) 522.198 * * [simplify]: iters left: 5 (96 enodes) 522.231 * * [simplify]: iters left: 4 (176 enodes) 522.297 * * [simplify]: iters left: 3 (311 enodes) 522.396 * * [simplify]: iters left: 2 (461 enodes) 522.588 * * [simplify]: Extracting #0: cost 1 inf + 0 522.588 * * [simplify]: Extracting #1: cost 24 inf + 0 522.588 * * [simplify]: Extracting #2: cost 45 inf + 0 522.588 * * [simplify]: Extracting #3: cost 70 inf + 0 522.589 * * [simplify]: Extracting #4: cost 197 inf + 62 522.590 * * [simplify]: Extracting #5: cost 234 inf + 3576 522.596 * * [simplify]: Extracting #6: cost 70 inf + 32128 522.606 * * [simplify]: Extracting #7: cost 9 inf + 53044 522.617 * * [simplify]: Extracting #8: cost 0 inf + 56365 522.637 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) 522.637 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))))) 522.637 * * * * [progress]: [ 885 / 2703 ] simplifiying candidate # 522.638 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 522.638 * * [simplify]: iters left: 6 (26 enodes) 522.649 * * [simplify]: iters left: 5 (108 enodes) 522.674 * * [simplify]: iters left: 4 (226 enodes) 522.743 * * [simplify]: Extracting #0: cost 1 inf + 0 522.743 * * [simplify]: Extracting #1: cost 69 inf + 0 522.744 * * [simplify]: Extracting #2: cost 167 inf + 0 522.744 * * [simplify]: Extracting #3: cost 185 inf + 0 522.745 * * [simplify]: Extracting #4: cost 187 inf + 5193 522.748 * * [simplify]: Extracting #5: cost 160 inf + 29333 522.761 * * [simplify]: Extracting #6: cost 53 inf + 98652 522.782 * * [simplify]: Extracting #7: cost 3 inf + 117080 522.816 * * [simplify]: Extracting #8: cost 0 inf + 113138 522.857 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 522.857 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 522.858 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 522.858 * * [simplify]: iters left: 6 (23 enodes) 522.870 * * [simplify]: iters left: 5 (96 enodes) 522.899 * * [simplify]: iters left: 4 (176 enodes) 522.945 * * [simplify]: iters left: 3 (311 enodes) 523.049 * * [simplify]: iters left: 2 (461 enodes) 523.236 * * [simplify]: Extracting #0: cost 1 inf + 0 523.237 * * [simplify]: Extracting #1: cost 24 inf + 0 523.237 * * [simplify]: Extracting #2: cost 45 inf + 0 523.237 * * [simplify]: Extracting #3: cost 70 inf + 0 523.238 * * [simplify]: Extracting #4: cost 197 inf + 62 523.241 * * [simplify]: Extracting #5: cost 234 inf + 3496 523.252 * * [simplify]: Extracting #6: cost 70 inf + 31728 523.265 * * [simplify]: Extracting #7: cost 9 inf + 52124 523.275 * * [simplify]: Extracting #8: cost 0 inf + 55365 523.286 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) 523.286 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))))) 523.287 * * * * [progress]: [ 886 / 2703 ] simplifiying candidate # 523.287 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 523.288 * * [simplify]: iters left: 6 (25 enodes) 523.302 * * [simplify]: iters left: 5 (106 enodes) 523.348 * * [simplify]: iters left: 4 (214 enodes) 523.415 * * [simplify]: Extracting #0: cost 1 inf + 0 523.415 * * [simplify]: Extracting #1: cost 54 inf + 0 523.415 * * [simplify]: Extracting #2: cost 120 inf + 1 523.416 * * [simplify]: Extracting #3: cost 137 inf + 1 523.416 * * [simplify]: Extracting #4: cost 151 inf + 1234 523.417 * * [simplify]: Extracting #5: cost 145 inf + 8462 523.421 * * [simplify]: Extracting #6: cost 87 inf + 33303 523.432 * * [simplify]: Extracting #7: cost 16 inf + 76579 523.454 * * [simplify]: Extracting #8: cost 0 inf + 75555 523.480 * * [simplify]: Extracting #9: cost 0 inf + 73779 523.505 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) 523.505 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 523.506 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 523.506 * * [simplify]: iters left: 6 (22 enodes) 523.518 * * [simplify]: iters left: 5 (93 enodes) 523.539 * * [simplify]: iters left: 4 (173 enodes) 523.580 * * [simplify]: iters left: 3 (308 enodes) 523.657 * * [simplify]: iters left: 2 (457 enodes) 523.798 * * [simplify]: Extracting #0: cost 1 inf + 0 523.798 * * [simplify]: Extracting #1: cost 24 inf + 0 523.798 * * [simplify]: Extracting #2: cost 45 inf + 0 523.798 * * [simplify]: Extracting #3: cost 71 inf + 0 523.799 * * [simplify]: Extracting #4: cost 197 inf + 62 523.802 * * [simplify]: Extracting #5: cost 232 inf + 3690 523.811 * * [simplify]: Extracting #6: cost 118 inf + 23687 523.834 * * [simplify]: Extracting #7: cost 16 inf + 47918 523.854 * * [simplify]: Extracting #8: cost 0 inf + 54121 523.875 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 523.875 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))))) 523.876 * * * * [progress]: [ 887 / 2703 ] simplifiying candidate # 523.876 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 523.876 * * [simplify]: iters left: 6 (26 enodes) 523.890 * * [simplify]: iters left: 5 (108 enodes) 523.928 * * [simplify]: iters left: 4 (226 enodes) 524.012 * * [simplify]: Extracting #0: cost 1 inf + 0 524.012 * * [simplify]: Extracting #1: cost 69 inf + 0 524.013 * * [simplify]: Extracting #2: cost 167 inf + 0 524.014 * * [simplify]: Extracting #3: cost 185 inf + 0 524.016 * * [simplify]: Extracting #4: cost 187 inf + 5193 524.022 * * [simplify]: Extracting #5: cost 160 inf + 29333 524.047 * * [simplify]: Extracting #6: cost 53 inf + 98652 524.086 * * [simplify]: Extracting #7: cost 3 inf + 117080 524.132 * * [simplify]: Extracting #8: cost 0 inf + 113138 524.173 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 524.173 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 524.174 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 524.174 * * [simplify]: iters left: 6 (23 enodes) 524.186 * * [simplify]: iters left: 5 (96 enodes) 524.218 * * [simplify]: iters left: 4 (176 enodes) 524.288 * * [simplify]: iters left: 3 (311 enodes) 524.378 * * [simplify]: iters left: 2 (461 enodes) 524.557 * * [simplify]: Extracting #0: cost 1 inf + 0 524.557 * * [simplify]: Extracting #1: cost 24 inf + 0 524.557 * * [simplify]: Extracting #2: cost 45 inf + 0 524.558 * * [simplify]: Extracting #3: cost 70 inf + 0 524.559 * * [simplify]: Extracting #4: cost 197 inf + 62 524.561 * * [simplify]: Extracting #5: cost 234 inf + 3496 524.572 * * [simplify]: Extracting #6: cost 70 inf + 31728 524.597 * * [simplify]: Extracting #7: cost 9 inf + 52124 524.609 * * [simplify]: Extracting #8: cost 0 inf + 55365 524.621 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) 524.621 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))))) 524.622 * * * * [progress]: [ 888 / 2703 ] simplifiying candidate # 524.622 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 524.623 * * [simplify]: iters left: 6 (24 enodes) 524.636 * * [simplify]: iters left: 5 (101 enodes) 524.660 * * [simplify]: iters left: 4 (217 enodes) 524.729 * * [simplify]: Extracting #0: cost 1 inf + 0 524.729 * * [simplify]: Extracting #1: cost 55 inf + 0 524.729 * * [simplify]: Extracting #2: cost 127 inf + 1 524.730 * * [simplify]: Extracting #3: cost 142 inf + 1 524.730 * * [simplify]: Extracting #4: cost 153 inf + 2160 524.731 * * [simplify]: Extracting #5: cost 150 inf + 8824 524.735 * * [simplify]: Extracting #6: cost 88 inf + 31230 524.745 * * [simplify]: Extracting #7: cost 21 inf + 72010 524.764 * * [simplify]: Extracting #8: cost 0 inf + 83363 524.780 * * [simplify]: Extracting #9: cost 0 inf + 78457 524.798 * * [simplify]: Extracting #10: cost 0 inf + 76819 524.822 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) 524.823 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 524.823 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 524.823 * * [simplify]: iters left: 6 (22 enodes) 524.833 * * [simplify]: iters left: 5 (93 enodes) 524.849 * * [simplify]: iters left: 4 (173 enodes) 524.894 * * [simplify]: iters left: 3 (308 enodes) 524.984 * * [simplify]: iters left: 2 (457 enodes) 525.150 * * [simplify]: Extracting #0: cost 1 inf + 0 525.150 * * [simplify]: Extracting #1: cost 24 inf + 0 525.150 * * [simplify]: Extracting #2: cost 45 inf + 0 525.150 * * [simplify]: Extracting #3: cost 71 inf + 0 525.152 * * [simplify]: Extracting #4: cost 197 inf + 62 525.154 * * [simplify]: Extracting #5: cost 232 inf + 3690 525.163 * * [simplify]: Extracting #6: cost 118 inf + 23687 525.182 * * [simplify]: Extracting #7: cost 16 inf + 47918 525.203 * * [simplify]: Extracting #8: cost 0 inf + 54121 525.228 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 525.228 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))))) 525.228 * * * * [progress]: [ 889 / 2703 ] simplifiying candidate # 525.229 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 525.229 * * [simplify]: iters left: 6 (26 enodes) 525.243 * * [simplify]: iters left: 5 (108 enodes) 525.266 * * [simplify]: iters left: 4 (222 enodes) 525.339 * * [simplify]: Extracting #0: cost 1 inf + 0 525.339 * * [simplify]: Extracting #1: cost 55 inf + 0 525.340 * * [simplify]: Extracting #2: cost 143 inf + 0 525.340 * * [simplify]: Extracting #3: cost 161 inf + 0 525.341 * * [simplify]: Extracting #4: cost 177 inf + 1332 525.343 * * [simplify]: Extracting #5: cost 168 inf + 12876 525.348 * * [simplify]: Extracting #6: cost 109 inf + 41109 525.362 * * [simplify]: Extracting #7: cost 51 inf + 66414 525.392 * * [simplify]: Extracting #8: cost 7 inf + 92949 525.411 * * [simplify]: Extracting #9: cost 0 inf + 97751 525.442 * [simplify]: Simplified to (/ (* (* (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) 525.442 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 525.443 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 525.443 * * [simplify]: iters left: 6 (23 enodes) 525.459 * * [simplify]: iters left: 5 (96 enodes) 525.484 * * [simplify]: iters left: 4 (176 enodes) 525.524 * * [simplify]: iters left: 3 (311 enodes) 525.597 * * [simplify]: iters left: 2 (461 enodes) 525.776 * * [simplify]: Extracting #0: cost 1 inf + 0 525.776 * * [simplify]: Extracting #1: cost 24 inf + 0 525.776 * * [simplify]: Extracting #2: cost 45 inf + 0 525.776 * * [simplify]: Extracting #3: cost 70 inf + 0 525.777 * * [simplify]: Extracting #4: cost 197 inf + 62 525.778 * * [simplify]: Extracting #5: cost 234 inf + 3536 525.784 * * [simplify]: Extracting #6: cost 70 inf + 31728 525.794 * * [simplify]: Extracting #7: cost 9 inf + 52044 525.805 * * [simplify]: Extracting #8: cost 0 inf + 55325 525.821 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2))))) 525.821 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (* (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2))))))) 525.822 * * * * [progress]: [ 890 / 2703 ] simplifiying candidate # 525.822 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 525.823 * * [simplify]: iters left: 6 (26 enodes) 525.836 * * [simplify]: iters left: 5 (107 enodes) 525.882 * * [simplify]: iters left: 4 (213 enodes) 525.963 * * [simplify]: Extracting #0: cost 1 inf + 0 525.964 * * [simplify]: Extracting #1: cost 51 inf + 0 525.964 * * [simplify]: Extracting #2: cost 122 inf + 0 525.964 * * [simplify]: Extracting #3: cost 138 inf + 0 525.965 * * [simplify]: Extracting #4: cost 149 inf + 2460 525.966 * * [simplify]: Extracting #5: cost 151 inf + 6894 525.971 * * [simplify]: Extracting #6: cost 116 inf + 15737 525.977 * * [simplify]: Extracting #7: cost 63 inf + 38089 525.995 * * [simplify]: Extracting #8: cost 10 inf + 71997 526.025 * * [simplify]: Extracting #9: cost 0 inf + 80174 526.054 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 526.054 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 526.055 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 526.055 * * [simplify]: iters left: 6 (23 enodes) 526.067 * * [simplify]: iters left: 5 (96 enodes) 526.092 * * [simplify]: iters left: 4 (176 enodes) 526.135 * * [simplify]: iters left: 3 (311 enodes) 526.222 * * [simplify]: iters left: 2 (461 enodes) 526.369 * * [simplify]: Extracting #0: cost 1 inf + 0 526.369 * * [simplify]: Extracting #1: cost 24 inf + 0 526.369 * * [simplify]: Extracting #2: cost 45 inf + 0 526.369 * * [simplify]: Extracting #3: cost 70 inf + 0 526.370 * * [simplify]: Extracting #4: cost 197 inf + 62 526.373 * * [simplify]: Extracting #5: cost 234 inf + 3576 526.390 * * [simplify]: Extracting #6: cost 70 inf + 31808 526.410 * * [simplify]: Extracting #7: cost 9 inf + 52124 526.431 * * [simplify]: Extracting #8: cost 0 inf + 55405 526.452 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2))))) 526.452 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (/ (sqrt (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2))))))) 526.452 * * * * [progress]: [ 891 / 2703 ] simplifiying candidate # 526.453 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 526.453 * * [simplify]: iters left: 6 (25 enodes) 526.466 * * [simplify]: iters left: 5 (103 enodes) 526.507 * * [simplify]: iters left: 4 (209 enodes) 526.601 * * [simplify]: Extracting #0: cost 1 inf + 0 526.601 * * [simplify]: Extracting #1: cost 51 inf + 0 526.601 * * [simplify]: Extracting #2: cost 121 inf + 0 526.602 * * [simplify]: Extracting #3: cost 136 inf + 0 526.603 * * [simplify]: Extracting #4: cost 152 inf + 1232 526.605 * * [simplify]: Extracting #5: cost 158 inf + 4758 526.608 * * [simplify]: Extracting #6: cost 130 inf + 10283 526.612 * * [simplify]: Extracting #7: cost 90 inf + 20504 526.629 * * [simplify]: Extracting #8: cost 26 inf + 64023 526.648 * * [simplify]: Extracting #9: cost 0 inf + 79244 526.663 * * [simplify]: Extracting #10: cost 0 inf + 77650 526.688 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) 526.688 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 526.689 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 526.689 * * [simplify]: iters left: 6 (23 enodes) 526.696 * * [simplify]: iters left: 5 (96 enodes) 526.712 * * [simplify]: iters left: 4 (176 enodes) 526.753 * * [simplify]: iters left: 3 (311 enodes) 526.853 * * [simplify]: iters left: 2 (461 enodes) 527.009 * * [simplify]: Extracting #0: cost 1 inf + 0 527.009 * * [simplify]: Extracting #1: cost 24 inf + 0 527.009 * * [simplify]: Extracting #2: cost 45 inf + 0 527.009 * * [simplify]: Extracting #3: cost 70 inf + 0 527.010 * * [simplify]: Extracting #4: cost 197 inf + 62 527.011 * * [simplify]: Extracting #5: cost 234 inf + 3496 527.017 * * [simplify]: Extracting #6: cost 70 inf + 31408 527.027 * * [simplify]: Extracting #7: cost 9 inf + 51204 527.038 * * [simplify]: Extracting #8: cost 0 inf + 54405 527.062 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2))))) 527.063 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2))))))) 527.063 * * * * [progress]: [ 892 / 2703 ] simplifiying candidate # 527.063 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 527.064 * * [simplify]: iters left: 6 (24 enodes) 527.072 * * [simplify]: iters left: 5 (101 enodes) 527.093 * * [simplify]: iters left: 4 (197 enodes) 527.173 * * [simplify]: iters left: 3 (441 enodes) 527.365 * * [simplify]: Extracting #0: cost 1 inf + 0 527.365 * * [simplify]: Extracting #1: cost 81 inf + 0 527.366 * * [simplify]: Extracting #2: cost 165 inf + 1 527.366 * * [simplify]: Extracting #3: cost 174 inf + 1 527.367 * * [simplify]: Extracting #4: cost 189 inf + 2259 527.370 * * [simplify]: Extracting #5: cost 175 inf + 26745 527.391 * * [simplify]: Extracting #6: cost 82 inf + 85977 527.417 * * [simplify]: Extracting #7: cost 23 inf + 101232 527.438 * * [simplify]: Extracting #8: cost 2 inf + 105344 527.480 * * [simplify]: Extracting #9: cost 0 inf + 105808 527.503 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) 527.503 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 527.504 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 527.504 * * [simplify]: iters left: 6 (22 enodes) 527.510 * * [simplify]: iters left: 5 (93 enodes) 527.534 * * [simplify]: iters left: 4 (173 enodes) 527.577 * * [simplify]: iters left: 3 (308 enodes) 527.676 * * [simplify]: iters left: 2 (457 enodes) 527.833 * * [simplify]: Extracting #0: cost 1 inf + 0 527.833 * * [simplify]: Extracting #1: cost 24 inf + 0 527.833 * * [simplify]: Extracting #2: cost 45 inf + 0 527.834 * * [simplify]: Extracting #3: cost 71 inf + 0 527.834 * * [simplify]: Extracting #4: cost 197 inf + 62 527.837 * * [simplify]: Extracting #5: cost 232 inf + 3690 527.846 * * [simplify]: Extracting #6: cost 118 inf + 23407 527.863 * * [simplify]: Extracting #7: cost 16 inf + 47198 527.875 * * [simplify]: Extracting #8: cost 0 inf + 53161 527.886 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) 527.886 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))))) 527.886 * * * * [progress]: [ 893 / 2703 ] simplifiying candidate # 527.887 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 527.887 * * [simplify]: iters left: 6 (25 enodes) 527.903 * * [simplify]: iters left: 5 (103 enodes) 527.943 * * [simplify]: iters left: 4 (209 enodes) 528.034 * * [simplify]: Extracting #0: cost 1 inf + 0 528.034 * * [simplify]: Extracting #1: cost 51 inf + 0 528.034 * * [simplify]: Extracting #2: cost 121 inf + 0 528.035 * * [simplify]: Extracting #3: cost 136 inf + 0 528.036 * * [simplify]: Extracting #4: cost 152 inf + 1232 528.038 * * [simplify]: Extracting #5: cost 158 inf + 4758 528.041 * * [simplify]: Extracting #6: cost 130 inf + 10283 528.049 * * [simplify]: Extracting #7: cost 90 inf + 20504 528.064 * * [simplify]: Extracting #8: cost 26 inf + 64023 528.079 * * [simplify]: Extracting #9: cost 0 inf + 79244 528.094 * * [simplify]: Extracting #10: cost 0 inf + 77650 528.124 * [simplify]: Simplified to (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) 528.124 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 528.125 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 528.125 * * [simplify]: iters left: 6 (23 enodes) 528.138 * * [simplify]: iters left: 5 (96 enodes) 528.157 * * [simplify]: iters left: 4 (176 enodes) 528.195 * * [simplify]: iters left: 3 (311 enodes) 528.273 * * [simplify]: iters left: 2 (461 enodes) 528.420 * * [simplify]: Extracting #0: cost 1 inf + 0 528.420 * * [simplify]: Extracting #1: cost 24 inf + 0 528.420 * * [simplify]: Extracting #2: cost 45 inf + 0 528.421 * * [simplify]: Extracting #3: cost 70 inf + 0 528.422 * * [simplify]: Extracting #4: cost 197 inf + 62 528.431 * * [simplify]: Extracting #5: cost 234 inf + 3496 528.442 * * [simplify]: Extracting #6: cost 70 inf + 31408 528.459 * * [simplify]: Extracting #7: cost 9 inf + 51204 528.469 * * [simplify]: Extracting #8: cost 0 inf + 54405 528.480 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2))))) 528.481 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2))))))) 528.481 * * * * [progress]: [ 894 / 2703 ] simplifiying candidate # 528.481 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (sqrt (cbrt (sqrt 2))) 1)) 528.481 * * [simplify]: iters left: 6 (23 enodes) 528.488 * * [simplify]: iters left: 5 (96 enodes) 528.508 * * [simplify]: iters left: 4 (194 enodes) 528.566 * * [simplify]: iters left: 3 (444 enodes) 528.787 * * [simplify]: Extracting #0: cost 1 inf + 0 528.787 * * [simplify]: Extracting #1: cost 83 inf + 0 528.788 * * [simplify]: Extracting #2: cost 168 inf + 1 528.789 * * [simplify]: Extracting #3: cost 177 inf + 1 528.791 * * [simplify]: Extracting #4: cost 195 inf + 1354 528.795 * * [simplify]: Extracting #5: cost 198 inf + 18678 528.816 * * [simplify]: Extracting #6: cost 99 inf + 75572 528.837 * * [simplify]: Extracting #7: cost 26 inf + 103985 528.862 * * [simplify]: Extracting #8: cost 2 inf + 106309 528.884 * * [simplify]: Extracting #9: cost 0 inf + 106813 528.907 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (/ (sqrt (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 528.907 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (/ (sqrt (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 528.907 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 528.907 * * [simplify]: iters left: 6 (22 enodes) 528.914 * * [simplify]: iters left: 5 (93 enodes) 528.934 * * [simplify]: iters left: 4 (173 enodes) 528.979 * * [simplify]: iters left: 3 (308 enodes) 529.056 * * [simplify]: iters left: 2 (457 enodes) 529.272 * * [simplify]: Extracting #0: cost 1 inf + 0 529.272 * * [simplify]: Extracting #1: cost 24 inf + 0 529.273 * * [simplify]: Extracting #2: cost 45 inf + 0 529.273 * * [simplify]: Extracting #3: cost 71 inf + 0 529.273 * * [simplify]: Extracting #4: cost 197 inf + 62 529.275 * * [simplify]: Extracting #5: cost 232 inf + 3690 529.279 * * [simplify]: Extracting #6: cost 118 inf + 23407 529.289 * * [simplify]: Extracting #7: cost 16 inf + 47198 529.299 * * [simplify]: Extracting #8: cost 0 inf + 53161 529.317 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) 529.318 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (/ (/ (sqrt (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))))) 529.318 * * * * [progress]: [ 895 / 2703 ] simplifiying candidate # 529.318 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 529.319 * * [simplify]: iters left: 6 (26 enodes) 529.333 * * [simplify]: iters left: 5 (110 enodes) 529.376 * * [simplify]: iters left: 4 (222 enodes) 529.466 * * [simplify]: Extracting #0: cost 1 inf + 0 529.466 * * [simplify]: Extracting #1: cost 47 inf + 0 529.466 * * [simplify]: Extracting #2: cost 130 inf + 1 529.467 * * [simplify]: Extracting #3: cost 149 inf + 1 529.467 * * [simplify]: Extracting #4: cost 163 inf + 1697 529.468 * * [simplify]: Extracting #5: cost 162 inf + 6739 529.470 * * [simplify]: Extracting #6: cost 139 inf + 11000 529.475 * * [simplify]: Extracting #7: cost 72 inf + 39010 529.489 * * [simplify]: Extracting #8: cost 12 inf + 80425 529.508 * * [simplify]: Extracting #9: cost 0 inf + 84901 529.541 * * [simplify]: Extracting #10: cost 0 inf + 83324 529.572 * [simplify]: Simplified to (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 529.572 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 529.572 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 529.572 * * [simplify]: iters left: 6 (22 enodes) 529.578 * * [simplify]: iters left: 5 (93 enodes) 529.595 * * [simplify]: iters left: 4 (173 enodes) 529.649 * * [simplify]: iters left: 3 (308 enodes) 529.725 * * [simplify]: iters left: 2 (457 enodes) 529.837 * * [simplify]: Extracting #0: cost 1 inf + 0 529.837 * * [simplify]: Extracting #1: cost 24 inf + 0 529.837 * * [simplify]: Extracting #2: cost 45 inf + 0 529.837 * * [simplify]: Extracting #3: cost 70 inf + 0 529.838 * * [simplify]: Extracting #4: cost 192 inf + 225 529.839 * * [simplify]: Extracting #5: cost 230 inf + 4626 529.844 * * [simplify]: Extracting #6: cost 112 inf + 25904 529.858 * * [simplify]: Extracting #7: cost 11 inf + 50175 529.868 * * [simplify]: Extracting #8: cost 0 inf + 54123 529.888 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 529.888 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 529.888 * * * * [progress]: [ 896 / 2703 ] simplifiying candidate # 529.889 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 529.889 * * [simplify]: iters left: 6 (26 enodes) 529.904 * * [simplify]: iters left: 5 (109 enodes) 529.945 * * [simplify]: iters left: 4 (213 enodes) 530.008 * * [simplify]: iters left: 3 (494 enodes) 530.217 * * [simplify]: Extracting #0: cost 1 inf + 0 530.217 * * [simplify]: Extracting #1: cost 112 inf + 0 530.218 * * [simplify]: Extracting #2: cost 225 inf + 1 530.219 * * [simplify]: Extracting #3: cost 235 inf + 1 530.220 * * [simplify]: Extracting #4: cost 242 inf + 5321 530.224 * * [simplify]: Extracting #5: cost 258 inf + 16545 530.237 * * [simplify]: Extracting #6: cost 201 inf + 49578 530.267 * * [simplify]: Extracting #7: cost 48 inf + 133105 530.310 * * [simplify]: Extracting #8: cost 2 inf + 154358 530.356 * * [simplify]: Extracting #9: cost 0 inf + 154862 530.410 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) 530.410 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 530.410 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 530.410 * * [simplify]: iters left: 6 (22 enodes) 530.416 * * [simplify]: iters left: 5 (93 enodes) 530.438 * * [simplify]: iters left: 4 (173 enodes) 530.506 * * [simplify]: iters left: 3 (308 enodes) 530.582 * * [simplify]: iters left: 2 (457 enodes) 530.785 * * [simplify]: Extracting #0: cost 1 inf + 0 530.785 * * [simplify]: Extracting #1: cost 24 inf + 0 530.785 * * [simplify]: Extracting #2: cost 45 inf + 0 530.786 * * [simplify]: Extracting #3: cost 70 inf + 0 530.787 * * [simplify]: Extracting #4: cost 192 inf + 225 530.789 * * [simplify]: Extracting #5: cost 230 inf + 4666 530.795 * * [simplify]: Extracting #6: cost 112 inf + 25984 530.808 * * [simplify]: Extracting #7: cost 11 inf + 50255 530.819 * * [simplify]: Extracting #8: cost 0 inf + 54203 530.830 * [simplify]: Simplified to (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 530.830 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))))) (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 530.830 * * * * [progress]: [ 897 / 2703 ] simplifiying candidate # 530.830 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 530.831 * * [simplify]: iters left: 6 (25 enodes) 530.845 * * [simplify]: iters left: 5 (105 enodes) 530.871 * * [simplify]: iters left: 4 (209 enodes) 530.949 * * [simplify]: iters left: 3 (489 enodes) 531.142 * * [simplify]: Extracting #0: cost 1 inf + 0 531.142 * * [simplify]: Extracting #1: cost 115 inf + 0 531.143 * * [simplify]: Extracting #2: cost 226 inf + 1 531.144 * * [simplify]: Extracting #3: cost 235 inf + 1 531.145 * * [simplify]: Extracting #4: cost 239 inf + 6408 531.151 * * [simplify]: Extracting #5: cost 246 inf + 20230 531.180 * * [simplify]: Extracting #6: cost 125 inf + 96895 531.219 * * [simplify]: Extracting #7: cost 25 inf + 145488 531.275 * * [simplify]: Extracting #8: cost 4 inf + 148030 531.317 * * [simplify]: Extracting #9: cost 0 inf + 149540 531.353 * [simplify]: Simplified to (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 531.353 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 531.353 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 531.353 * * [simplify]: iters left: 6 (22 enodes) 531.361 * * [simplify]: iters left: 5 (93 enodes) 531.394 * * [simplify]: iters left: 4 (173 enodes) 531.429 * * [simplify]: iters left: 3 (308 enodes) 531.503 * * [simplify]: iters left: 2 (457 enodes) 531.653 * * [simplify]: Extracting #0: cost 1 inf + 0 531.653 * * [simplify]: Extracting #1: cost 24 inf + 0 531.653 * * [simplify]: Extracting #2: cost 45 inf + 0 531.653 * * [simplify]: Extracting #3: cost 70 inf + 0 531.654 * * [simplify]: Extracting #4: cost 192 inf + 225 531.655 * * [simplify]: Extracting #5: cost 230 inf + 4626 531.660 * * [simplify]: Extracting #6: cost 112 inf + 25544 531.670 * * [simplify]: Extracting #7: cost 11 inf + 49335 531.681 * * [simplify]: Extracting #8: cost 0 inf + 53203 531.696 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 531.696 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 531.697 * * * * [progress]: [ 898 / 2703 ] simplifiying candidate # 531.697 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ 1 (sqrt 1))) 531.697 * * [simplify]: iters left: 6 (23 enodes) 531.711 * * [simplify]: iters left: 5 (98 enodes) 531.749 * * [simplify]: iters left: 4 (194 enodes) 531.809 * * [simplify]: iters left: 3 (411 enodes) 531.979 * * [simplify]: Extracting #0: cost 1 inf + 0 531.980 * * [simplify]: Extracting #1: cost 65 inf + 0 531.980 * * [simplify]: Extracting #2: cost 106 inf + 1 531.981 * * [simplify]: Extracting #3: cost 113 inf + 1 531.982 * * [simplify]: Extracting #4: cost 133 inf + 1031 531.985 * * [simplify]: Extracting #5: cost 149 inf + 10021 531.990 * * [simplify]: Extracting #6: cost 120 inf + 19753 532.007 * * [simplify]: Extracting #7: cost 31 inf + 58249 532.033 * * [simplify]: Extracting #8: cost 3 inf + 69980 532.060 * * [simplify]: Extracting #9: cost 0 inf + 69622 532.091 * [simplify]: Simplified to (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 532.092 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 532.092 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 532.092 * * [simplify]: iters left: 6 (21 enodes) 532.104 * * [simplify]: iters left: 5 (90 enodes) 532.136 * * [simplify]: iters left: 4 (170 enodes) 532.197 * * [simplify]: iters left: 3 (305 enodes) 532.276 * * [simplify]: iters left: 2 (454 enodes) 532.447 * * [simplify]: Extracting #0: cost 1 inf + 0 532.447 * * [simplify]: Extracting #1: cost 24 inf + 0 532.447 * * [simplify]: Extracting #2: cost 45 inf + 0 532.447 * * [simplify]: Extracting #3: cost 71 inf + 0 532.448 * * [simplify]: Extracting #4: cost 194 inf + 63 532.452 * * [simplify]: Extracting #5: cost 217 inf + 7240 532.465 * * [simplify]: Extracting #6: cost 73 inf + 35360 532.485 * * [simplify]: Extracting #7: cost 6 inf + 50676 532.505 * * [simplify]: Extracting #8: cost 0 inf + 51919 532.530 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))) 532.530 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))))) 532.530 * * * * [progress]: [ 899 / 2703 ] simplifiying candidate # 532.531 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 532.531 * * [simplify]: iters left: 6 (25 enodes) 532.545 * * [simplify]: iters left: 5 (105 enodes) 532.586 * * [simplify]: iters left: 4 (209 enodes) 532.681 * * [simplify]: iters left: 3 (489 enodes) 532.916 * * [simplify]: Extracting #0: cost 1 inf + 0 532.916 * * [simplify]: Extracting #1: cost 115 inf + 0 532.917 * * [simplify]: Extracting #2: cost 226 inf + 1 532.918 * * [simplify]: Extracting #3: cost 235 inf + 1 532.920 * * [simplify]: Extracting #4: cost 239 inf + 6408 532.923 * * [simplify]: Extracting #5: cost 246 inf + 20230 532.946 * * [simplify]: Extracting #6: cost 125 inf + 96895 532.984 * * [simplify]: Extracting #7: cost 25 inf + 145488 533.023 * * [simplify]: Extracting #8: cost 4 inf + 148030 533.062 * * [simplify]: Extracting #9: cost 0 inf + 149540 533.112 * [simplify]: Simplified to (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 533.112 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 533.112 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 533.112 * * [simplify]: iters left: 6 (22 enodes) 533.118 * * [simplify]: iters left: 5 (93 enodes) 533.142 * * [simplify]: iters left: 4 (173 enodes) 533.186 * * [simplify]: iters left: 3 (308 enodes) 533.301 * * [simplify]: iters left: 2 (457 enodes) 533.492 * * [simplify]: Extracting #0: cost 1 inf + 0 533.492 * * [simplify]: Extracting #1: cost 24 inf + 0 533.492 * * [simplify]: Extracting #2: cost 45 inf + 0 533.492 * * [simplify]: Extracting #3: cost 70 inf + 0 533.493 * * [simplify]: Extracting #4: cost 192 inf + 225 533.496 * * [simplify]: Extracting #5: cost 230 inf + 4626 533.506 * * [simplify]: Extracting #6: cost 112 inf + 25544 533.520 * * [simplify]: Extracting #7: cost 11 inf + 49335 533.534 * * [simplify]: Extracting #8: cost 0 inf + 53203 533.546 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 533.547 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 533.547 * * * * [progress]: [ 900 / 2703 ] simplifiying candidate # 533.547 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ 1 1)) 533.548 * * [simplify]: iters left: 6 (22 enodes) 533.559 * * [simplify]: iters left: 5 (91 enodes) 533.578 * * [simplify]: iters left: 4 (179 enodes) 533.649 * * [simplify]: iters left: 3 (363 enodes) 533.756 * * [simplify]: Extracting #0: cost 1 inf + 0 533.756 * * [simplify]: Extracting #1: cost 41 inf + 0 533.756 * * [simplify]: Extracting #2: cost 76 inf + 1 533.757 * * [simplify]: Extracting #3: cost 83 inf + 1 533.758 * * [simplify]: Extracting #4: cost 105 inf + 489 533.760 * * [simplify]: Extracting #5: cost 135 inf + 3898 533.767 * * [simplify]: Extracting #6: cost 77 inf + 25013 533.783 * * [simplify]: Extracting #7: cost 19 inf + 48325 533.803 * * [simplify]: Extracting #8: cost 1 inf + 53415 533.823 * * [simplify]: Extracting #9: cost 0 inf + 53303 533.842 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) 533.843 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 533.843 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 533.843 * * [simplify]: iters left: 6 (21 enodes) 533.849 * * [simplify]: iters left: 5 (90 enodes) 533.869 * * [simplify]: iters left: 4 (170 enodes) 533.910 * * [simplify]: iters left: 3 (305 enodes) 534.001 * * [simplify]: iters left: 2 (454 enodes) 534.162 * * [simplify]: Extracting #0: cost 1 inf + 0 534.162 * * [simplify]: Extracting #1: cost 24 inf + 0 534.162 * * [simplify]: Extracting #2: cost 45 inf + 0 534.162 * * [simplify]: Extracting #3: cost 71 inf + 0 534.163 * * [simplify]: Extracting #4: cost 194 inf + 63 534.164 * * [simplify]: Extracting #5: cost 217 inf + 7240 534.173 * * [simplify]: Extracting #6: cost 73 inf + 35360 534.192 * * [simplify]: Extracting #7: cost 6 inf + 50676 534.212 * * [simplify]: Extracting #8: cost 0 inf + 51919 534.233 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))) 534.233 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))))) 534.233 * * * * [progress]: [ 901 / 2703 ] simplifiying candidate # 534.234 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 1) 534.234 * * [simplify]: iters left: 6 (21 enodes) 534.246 * * [simplify]: iters left: 5 (88 enodes) 534.275 * * [simplify]: iters left: 4 (180 enodes) 534.324 * * [simplify]: iters left: 3 (377 enodes) 534.443 * * [simplify]: Extracting #0: cost 1 inf + 0 534.443 * * [simplify]: Extracting #1: cost 45 inf + 0 534.443 * * [simplify]: Extracting #2: cost 81 inf + 1 534.444 * * [simplify]: Extracting #3: cost 88 inf + 1 534.444 * * [simplify]: Extracting #4: cost 111 inf + 508 534.445 * * [simplify]: Extracting #5: cost 141 inf + 3657 534.448 * * [simplify]: Extracting #6: cost 91 inf + 22068 534.463 * * [simplify]: Extracting #7: cost 24 inf + 51169 534.484 * * [simplify]: Extracting #8: cost 3 inf + 56977 534.504 * * [simplify]: Extracting #9: cost 0 inf + 57551 534.515 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) 534.515 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 534.516 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 534.516 * * [simplify]: iters left: 6 (21 enodes) 534.522 * * [simplify]: iters left: 5 (90 enodes) 534.548 * * [simplify]: iters left: 4 (170 enodes) 534.588 * * [simplify]: iters left: 3 (305 enodes) 534.662 * * [simplify]: iters left: 2 (454 enodes) 534.812 * * [simplify]: Extracting #0: cost 1 inf + 0 534.812 * * [simplify]: Extracting #1: cost 24 inf + 0 534.812 * * [simplify]: Extracting #2: cost 45 inf + 0 534.813 * * [simplify]: Extracting #3: cost 71 inf + 0 534.813 * * [simplify]: Extracting #4: cost 194 inf + 63 534.816 * * [simplify]: Extracting #5: cost 217 inf + 7240 534.829 * * [simplify]: Extracting #6: cost 73 inf + 35360 534.844 * * [simplify]: Extracting #7: cost 6 inf + 50676 534.855 * * [simplify]: Extracting #8: cost 0 inf + 51919 534.865 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))) 534.865 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))))) 534.866 * * * * [progress]: [ 902 / 2703 ] simplifiying candidate # 534.866 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (cbrt (sqrt 2))) 534.866 * * [simplify]: iters left: 6 (20 enodes) 534.872 * * [simplify]: iters left: 5 (85 enodes) 534.903 * * [simplify]: iters left: 4 (175 enodes) 534.960 * * [simplify]: iters left: 3 (371 enodes) 535.074 * * [simplify]: Extracting #0: cost 1 inf + 0 535.074 * * [simplify]: Extracting #1: cost 33 inf + 0 535.075 * * [simplify]: Extracting #2: cost 80 inf + 0 535.075 * * [simplify]: Extracting #3: cost 84 inf + 43 535.076 * * [simplify]: Extracting #4: cost 106 inf + 550 535.078 * * [simplify]: Extracting #5: cost 140 inf + 4177 535.082 * * [simplify]: Extracting #6: cost 97 inf + 15711 535.091 * * [simplify]: Extracting #7: cost 35 inf + 37984 535.109 * * [simplify]: Extracting #8: cost 6 inf + 52506 535.123 * * [simplify]: Extracting #9: cost 0 inf + 55635 535.143 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) 535.143 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 535.143 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 535.144 * * [simplify]: iters left: 6 (19 enodes) 535.153 * * [simplify]: iters left: 5 (86 enodes) 535.169 * * [simplify]: iters left: 4 (164 enodes) 535.217 * * [simplify]: iters left: 3 (291 enodes) 535.312 * * [simplify]: iters left: 2 (448 enodes) 535.480 * * [simplify]: Extracting #0: cost 1 inf + 0 535.480 * * [simplify]: Extracting #1: cost 15 inf + 0 535.480 * * [simplify]: Extracting #2: cost 29 inf + 1 535.480 * * [simplify]: Extracting #3: cost 53 inf + 1 535.481 * * [simplify]: Extracting #4: cost 177 inf + 63 535.482 * * [simplify]: Extracting #5: cost 236 inf + 1079 535.486 * * [simplify]: Extracting #6: cost 113 inf + 20392 535.495 * * [simplify]: Extracting #7: cost 4 inf + 43964 535.507 * * [simplify]: Extracting #8: cost 0 inf + 44272 535.529 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (sqrt (+ (* (- (* a1 a1) (* a2 a2)) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (sqrt (+ (* a2 a2) (* a1 a1)))) 535.529 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) (sqrt (+ (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (* a2 a2) a2) (* (* a2 a2) a2))))) (* (/ (cbrt (cos th)) (sqrt (+ (* (- (* a1 a1) (* a2 a2)) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 535.530 * * * * [progress]: [ 903 / 2703 ] simplifiying candidate # 535.530 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 535.530 * * [simplify]: iters left: 6 (21 enodes) 535.542 * * [simplify]: iters left: 5 (90 enodes) 535.578 * * [simplify]: iters left: 4 (193 enodes) 535.650 * * [simplify]: iters left: 3 (448 enodes) 535.803 * * [simplify]: Extracting #0: cost 1 inf + 0 535.808 * * [simplify]: Extracting #1: cost 69 inf + 0 535.809 * * [simplify]: Extracting #2: cost 152 inf + 0 535.811 * * [simplify]: Extracting #3: cost 184 inf + 1 535.814 * * [simplify]: Extracting #4: cost 193 inf + 11941 535.838 * * [simplify]: Extracting #5: cost 85 inf + 80635 535.878 * * [simplify]: Extracting #6: cost 15 inf + 106076 535.901 * * [simplify]: Extracting #7: cost 0 inf + 102441 535.947 * * [simplify]: Extracting #8: cost 0 inf + 102219 535.979 * [simplify]: Simplified to (/ (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt 2))))) 535.979 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 535.979 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 535.979 * * [simplify]: iters left: 6 (15 enodes) 535.984 * * [simplify]: iters left: 5 (69 enodes) 536.008 * * [simplify]: iters left: 4 (136 enodes) 536.036 * * [simplify]: iters left: 3 (253 enodes) 536.113 * * [simplify]: iters left: 2 (386 enodes) 536.261 * * [simplify]: Extracting #0: cost 1 inf + 0 536.261 * * [simplify]: Extracting #1: cost 6 inf + 0 536.261 * * [simplify]: Extracting #2: cost 29 inf + 0 536.262 * * [simplify]: Extracting #3: cost 157 inf + 0 536.264 * * [simplify]: Extracting #4: cost 214 inf + 1161 536.271 * * [simplify]: Extracting #5: cost 107 inf + 17058 536.281 * * [simplify]: Extracting #6: cost 13 inf + 33708 536.289 * * [simplify]: Extracting #7: cost 0 inf + 37217 536.297 * [simplify]: Simplified to (/ (cbrt (cos th)) (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))) 536.297 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (* (/ (cbrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))))) 536.297 * * * * [progress]: [ 904 / 2703 ] simplifiying candidate # 536.297 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 536.297 * * [simplify]: iters left: 6 (25 enodes) 536.305 * * [simplify]: iters left: 5 (113 enodes) 536.343 * * [simplify]: iters left: 4 (222 enodes) 536.430 * * [simplify]: Extracting #0: cost 1 inf + 0 536.430 * * [simplify]: Extracting #1: cost 50 inf + 0 536.430 * * [simplify]: Extracting #2: cost 110 inf + 0 536.431 * * [simplify]: Extracting #3: cost 140 inf + 0 536.431 * * [simplify]: Extracting #4: cost 170 inf + 1152 536.432 * * [simplify]: Extracting #5: cost 164 inf + 5005 536.435 * * [simplify]: Extracting #6: cost 121 inf + 19341 536.449 * * [simplify]: Extracting #7: cost 34 inf + 63644 536.478 * * [simplify]: Extracting #8: cost 0 inf + 75310 536.511 * * [simplify]: Extracting #9: cost 0 inf + 74604 536.540 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))))) 536.540 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))))) (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 536.541 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))) 536.541 * * [simplify]: iters left: 6 (17 enodes) 536.550 * * [simplify]: iters left: 5 (80 enodes) 536.578 * * [simplify]: iters left: 4 (162 enodes) 536.621 * * [simplify]: iters left: 3 (281 enodes) 536.696 * * [simplify]: iters left: 2 (437 enodes) 536.883 * * [simplify]: Extracting #0: cost 1 inf + 0 536.884 * * [simplify]: Extracting #1: cost 8 inf + 0 536.884 * * [simplify]: Extracting #2: cost 17 inf + 0 536.884 * * [simplify]: Extracting #3: cost 77 inf + 0 536.885 * * [simplify]: Extracting #4: cost 221 inf + 62 536.889 * * [simplify]: Extracting #5: cost 216 inf + 8663 536.903 * * [simplify]: Extracting #6: cost 59 inf + 32537 536.921 * * [simplify]: Extracting #7: cost 6 inf + 43993 536.940 * * [simplify]: Extracting #8: cost 0 inf + 45527 536.958 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (+ (* (- (* a1 a1) (* a2 a2)) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 536.958 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (sqrt (+ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (+ (* (- (* a1 a1) (* a2 a2)) (* a1 a1)) (* (* a2 a2) (* a2 a2))))))) 536.959 * * * * [progress]: [ 905 / 2703 ] simplifiying candidate # 536.963 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 536.963 * * [simplify]: iters left: 6 (24 enodes) 536.976 * * [simplify]: iters left: 5 (95 enodes) 536.993 * * [simplify]: iters left: 4 (175 enodes) 537.043 * * [simplify]: iters left: 3 (419 enodes) 537.204 * * [simplify]: Extracting #0: cost 1 inf + 0 537.205 * * [simplify]: Extracting #1: cost 94 inf + 0 537.206 * * [simplify]: Extracting #2: cost 224 inf + 0 537.208 * * [simplify]: Extracting #3: cost 257 inf + 0 537.211 * * [simplify]: Extracting #4: cost 301 inf + 3625 537.216 * * [simplify]: Extracting #5: cost 286 inf + 8253 537.223 * * [simplify]: Extracting #6: cost 234 inf + 19638 537.236 * * [simplify]: Extracting #7: cost 183 inf + 35056 537.252 * * [simplify]: Extracting #8: cost 166 inf + 41709 537.300 * * [simplify]: Extracting #9: cost 44 inf + 128849 537.346 * * [simplify]: Extracting #10: cost 0 inf + 161316 537.388 * * [simplify]: Extracting #11: cost 0 inf + 161036 537.440 * [simplify]: Simplified to (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 537.440 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 537.440 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 537.441 * * [simplify]: iters left: 6 (18 enodes) 537.450 * * [simplify]: iters left: 5 (62 enodes) 537.469 * * [simplify]: iters left: 4 (80 enodes) 537.492 * * [simplify]: iters left: 3 (99 enodes) 537.522 * * [simplify]: iters left: 2 (140 enodes) 537.572 * * [simplify]: iters left: 1 (223 enodes) 537.621 * * [simplify]: Extracting #0: cost 1 inf + 0 537.621 * * [simplify]: Extracting #1: cost 8 inf + 0 537.621 * * [simplify]: Extracting #2: cost 17 inf + 0 537.622 * * [simplify]: Extracting #3: cost 43 inf + 0 537.622 * * [simplify]: Extracting #4: cost 78 inf + 123 537.622 * * [simplify]: Extracting #5: cost 69 inf + 1401 537.624 * * [simplify]: Extracting #6: cost 20 inf + 7475 537.627 * * [simplify]: Extracting #7: cost 1 inf + 12583 537.632 * * [simplify]: Extracting #8: cost 0 inf + 13167 537.637 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 537.637 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 537.638 * * * * [progress]: [ 906 / 2703 ] simplifiying candidate # 537.638 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 537.639 * * [simplify]: iters left: 6 (23 enodes) 537.650 * * [simplify]: iters left: 5 (90 enodes) 537.681 * * [simplify]: iters left: 4 (158 enodes) 537.712 * * [simplify]: iters left: 3 (332 enodes) 537.833 * * [simplify]: Extracting #0: cost 1 inf + 0 537.833 * * [simplify]: Extracting #1: cost 55 inf + 0 537.834 * * [simplify]: Extracting #2: cost 127 inf + 0 537.835 * * [simplify]: Extracting #3: cost 154 inf + 0 537.837 * * [simplify]: Extracting #4: cost 203 inf + 1916 537.839 * * [simplify]: Extracting #5: cost 191 inf + 6977 537.845 * * [simplify]: Extracting #6: cost 112 inf + 23541 537.858 * * [simplify]: Extracting #7: cost 17 inf + 72322 537.886 * * [simplify]: Extracting #8: cost 0 inf + 83045 537.911 * [simplify]: Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 537.911 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 537.911 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 537.911 * * [simplify]: iters left: 6 (18 enodes) 537.916 * * [simplify]: iters left: 5 (62 enodes) 537.925 * * [simplify]: iters left: 4 (80 enodes) 537.937 * * [simplify]: iters left: 3 (99 enodes) 537.953 * * [simplify]: iters left: 2 (140 enodes) 537.980 * * [simplify]: iters left: 1 (223 enodes) 538.045 * * [simplify]: Extracting #0: cost 1 inf + 0 538.045 * * [simplify]: Extracting #1: cost 8 inf + 0 538.045 * * [simplify]: Extracting #2: cost 17 inf + 0 538.046 * * [simplify]: Extracting #3: cost 43 inf + 0 538.046 * * [simplify]: Extracting #4: cost 78 inf + 123 538.047 * * [simplify]: Extracting #5: cost 69 inf + 1401 538.050 * * [simplify]: Extracting #6: cost 20 inf + 7435 538.055 * * [simplify]: Extracting #7: cost 1 inf + 12303 538.060 * * [simplify]: Extracting #8: cost 0 inf + 12847 538.065 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 538.065 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 538.066 * * * * [progress]: [ 907 / 2703 ] simplifiying candidate # 538.066 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 538.067 * * [simplify]: iters left: 6 (25 enodes) 538.083 * * [simplify]: iters left: 5 (100 enodes) 538.117 * * [simplify]: iters left: 4 (188 enodes) 538.182 * * [simplify]: iters left: 3 (496 enodes) 538.461 * * [simplify]: Extracting #0: cost 1 inf + 0 538.462 * * [simplify]: Extracting #1: cost 153 inf + 0 538.465 * * [simplify]: Extracting #2: cost 407 inf + 0 538.470 * * [simplify]: Extracting #3: cost 435 inf + 0 538.476 * * [simplify]: Extracting #4: cost 456 inf + 12225 538.489 * * [simplify]: Extracting #5: cost 372 inf + 50382 538.541 * * [simplify]: Extracting #6: cost 162 inf + 170171 538.626 * * [simplify]: Extracting #7: cost 18 inf + 276638 538.727 * * [simplify]: Extracting #8: cost 0 inf + 288908 538.820 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 538.820 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 538.820 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 538.820 * * [simplify]: iters left: 6 (19 enodes) 538.825 * * [simplify]: iters left: 5 (67 enodes) 538.835 * * [simplify]: iters left: 4 (93 enodes) 538.860 * * [simplify]: iters left: 3 (130 enodes) 538.888 * * [simplify]: iters left: 2 (190 enodes) 538.928 * * [simplify]: iters left: 1 (292 enodes) 538.981 * * [simplify]: Extracting #0: cost 1 inf + 0 538.981 * * [simplify]: Extracting #1: cost 22 inf + 0 538.981 * * [simplify]: Extracting #2: cost 45 inf + 0 538.981 * * [simplify]: Extracting #3: cost 72 inf + 0 538.981 * * [simplify]: Extracting #4: cost 107 inf + 62 538.982 * * [simplify]: Extracting #5: cost 89 inf + 2930 538.984 * * [simplify]: Extracting #6: cost 42 inf + 14133 538.990 * * [simplify]: Extracting #7: cost 4 inf + 23923 538.999 * * [simplify]: Extracting #8: cost 0 inf + 25034 539.008 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 539.008 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))))) 539.009 * * * * [progress]: [ 908 / 2703 ] simplifiying candidate # 539.009 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 539.009 * * [simplify]: iters left: 6 (25 enodes) 539.022 * * [simplify]: iters left: 5 (99 enodes) 539.055 * * [simplify]: iters left: 4 (179 enodes) 539.127 * * [simplify]: iters left: 3 (435 enodes) 539.351 * * [simplify]: Extracting #0: cost 1 inf + 0 539.351 * * [simplify]: Extracting #1: cost 118 inf + 0 539.353 * * [simplify]: Extracting #2: cost 285 inf + 0 539.356 * * [simplify]: Extracting #3: cost 312 inf + 0 539.359 * * [simplify]: Extracting #4: cost 353 inf + 4188 539.366 * * [simplify]: Extracting #5: cost 314 inf + 20518 539.387 * * [simplify]: Extracting #6: cost 188 inf + 68310 539.450 * * [simplify]: Extracting #7: cost 28 inf + 173322 539.507 * * [simplify]: Extracting #8: cost 0 inf + 193463 539.558 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 539.558 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 539.559 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 539.559 * * [simplify]: iters left: 6 (19 enodes) 539.567 * * [simplify]: iters left: 5 (67 enodes) 539.587 * * [simplify]: iters left: 4 (93 enodes) 539.603 * * [simplify]: iters left: 3 (130 enodes) 539.624 * * [simplify]: iters left: 2 (190 enodes) 539.670 * * [simplify]: iters left: 1 (292 enodes) 539.745 * * [simplify]: Extracting #0: cost 1 inf + 0 539.745 * * [simplify]: Extracting #1: cost 22 inf + 0 539.745 * * [simplify]: Extracting #2: cost 45 inf + 0 539.746 * * [simplify]: Extracting #3: cost 72 inf + 0 539.746 * * [simplify]: Extracting #4: cost 107 inf + 62 539.746 * * [simplify]: Extracting #5: cost 89 inf + 2930 539.748 * * [simplify]: Extracting #6: cost 42 inf + 14173 539.752 * * [simplify]: Extracting #7: cost 4 inf + 24003 539.757 * * [simplify]: Extracting #8: cost 0 inf + 25114 539.763 * [simplify]: Simplified to (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 539.763 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))))) 539.764 * * * * [progress]: [ 909 / 2703 ] simplifiying candidate # 539.764 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 539.764 * * [simplify]: iters left: 6 (24 enodes) 539.770 * * [simplify]: iters left: 5 (95 enodes) 539.787 * * [simplify]: iters left: 4 (175 enodes) 539.855 * * [simplify]: iters left: 3 (431 enodes) 540.053 * * [simplify]: Extracting #0: cost 1 inf + 0 540.054 * * [simplify]: Extracting #1: cost 121 inf + 0 540.056 * * [simplify]: Extracting #2: cost 287 inf + 0 540.058 * * [simplify]: Extracting #3: cost 313 inf + 0 540.062 * * [simplify]: Extracting #4: cost 366 inf + 628 540.066 * * [simplify]: Extracting #5: cost 319 inf + 11488 540.079 * * [simplify]: Extracting #6: cost 157 inf + 84422 540.128 * * [simplify]: Extracting #7: cost 16 inf + 176167 540.177 * * [simplify]: Extracting #8: cost 0 inf + 185611 540.244 * [simplify]: Simplified to (/ (* (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th)))) 540.244 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 540.245 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 540.245 * * [simplify]: iters left: 6 (19 enodes) 540.249 * * [simplify]: iters left: 5 (67 enodes) 540.260 * * [simplify]: iters left: 4 (93 enodes) 540.281 * * [simplify]: iters left: 3 (130 enodes) 540.322 * * [simplify]: iters left: 2 (190 enodes) 540.353 * * [simplify]: iters left: 1 (292 enodes) 540.438 * * [simplify]: Extracting #0: cost 1 inf + 0 540.438 * * [simplify]: Extracting #1: cost 22 inf + 0 540.439 * * [simplify]: Extracting #2: cost 45 inf + 0 540.439 * * [simplify]: Extracting #3: cost 72 inf + 0 540.440 * * [simplify]: Extracting #4: cost 107 inf + 62 540.441 * * [simplify]: Extracting #5: cost 89 inf + 2930 540.444 * * [simplify]: Extracting #6: cost 42 inf + 13773 540.453 * * [simplify]: Extracting #7: cost 4 inf + 23123 540.462 * * [simplify]: Extracting #8: cost 0 inf + 24154 540.470 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 540.470 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))))) 540.471 * * * * [progress]: [ 910 / 2703 ] simplifiying candidate # 540.471 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 540.471 * * [simplify]: iters left: 6 (23 enodes) 540.485 * * [simplify]: iters left: 5 (94 enodes) 540.517 * * [simplify]: iters left: 4 (167 enodes) 540.579 * * [simplify]: iters left: 3 (363 enodes) 540.719 * * [simplify]: Extracting #0: cost 1 inf + 0 540.719 * * [simplify]: Extracting #1: cost 82 inf + 0 540.720 * * [simplify]: Extracting #2: cost 166 inf + 1 540.722 * * [simplify]: Extracting #3: cost 190 inf + 1 540.724 * * [simplify]: Extracting #4: cost 227 inf + 4234 540.731 * * [simplify]: Extracting #5: cost 173 inf + 28372 540.746 * * [simplify]: Extracting #6: cost 39 inf + 79643 540.772 * * [simplify]: Extracting #7: cost 7 inf + 93629 540.792 * * [simplify]: Extracting #8: cost 0 inf + 95845 540.820 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cos th)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 540.820 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cos th)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 540.821 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 540.821 * * [simplify]: iters left: 6 (18 enodes) 540.827 * * [simplify]: iters left: 5 (64 enodes) 540.837 * * [simplify]: iters left: 4 (90 enodes) 540.856 * * [simplify]: iters left: 3 (127 enodes) 540.895 * * [simplify]: iters left: 2 (187 enodes) 540.941 * * [simplify]: iters left: 1 (289 enodes) 540.996 * * [simplify]: Extracting #0: cost 1 inf + 0 540.997 * * [simplify]: Extracting #1: cost 22 inf + 0 540.997 * * [simplify]: Extracting #2: cost 45 inf + 0 540.997 * * [simplify]: Extracting #3: cost 71 inf + 0 540.997 * * [simplify]: Extracting #4: cost 106 inf + 62 540.998 * * [simplify]: Extracting #5: cost 87 inf + 2851 541.000 * * [simplify]: Extracting #6: cost 36 inf + 14485 541.005 * * [simplify]: Extracting #7: cost 4 inf + 22282 541.014 * * [simplify]: Extracting #8: cost 0 inf + 23112 541.025 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))))) 541.025 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cos th)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))))))) 541.025 * * * * [progress]: [ 911 / 2703 ] simplifiying candidate # 541.025 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 541.026 * * [simplify]: iters left: 6 (24 enodes) 541.034 * * [simplify]: iters left: 5 (95 enodes) 541.051 * * [simplify]: iters left: 4 (175 enodes) 541.085 * * [simplify]: iters left: 3 (431 enodes) 541.281 * * [simplify]: Extracting #0: cost 1 inf + 0 541.281 * * [simplify]: Extracting #1: cost 121 inf + 0 541.283 * * [simplify]: Extracting #2: cost 287 inf + 0 541.286 * * [simplify]: Extracting #3: cost 313 inf + 0 541.289 * * [simplify]: Extracting #4: cost 366 inf + 628 541.294 * * [simplify]: Extracting #5: cost 319 inf + 11488 541.319 * * [simplify]: Extracting #6: cost 157 inf + 84422 541.358 * * [simplify]: Extracting #7: cost 16 inf + 176167 541.414 * * [simplify]: Extracting #8: cost 0 inf + 185611 541.480 * [simplify]: Simplified to (/ (* (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th)))) 541.481 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 541.481 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 541.481 * * [simplify]: iters left: 6 (19 enodes) 541.491 * * [simplify]: iters left: 5 (67 enodes) 541.511 * * [simplify]: iters left: 4 (93 enodes) 541.540 * * [simplify]: iters left: 3 (130 enodes) 541.964 * * [simplify]: iters left: 2 (190 enodes) 541.995 * * [simplify]: iters left: 1 (292 enodes) 542.057 * * [simplify]: Extracting #0: cost 1 inf + 0 542.057 * * [simplify]: Extracting #1: cost 22 inf + 0 542.057 * * [simplify]: Extracting #2: cost 45 inf + 0 542.058 * * [simplify]: Extracting #3: cost 72 inf + 0 542.059 * * [simplify]: Extracting #4: cost 107 inf + 62 542.060 * * [simplify]: Extracting #5: cost 89 inf + 2930 542.063 * * [simplify]: Extracting #6: cost 42 inf + 13773 542.072 * * [simplify]: Extracting #7: cost 4 inf + 23123 542.081 * * [simplify]: Extracting #8: cost 0 inf + 24154 542.090 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 542.090 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))))) 542.090 * * * * [progress]: [ 912 / 2703 ] simplifiying candidate # 542.091 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 542.091 * * [simplify]: iters left: 6 (22 enodes) 542.103 * * [simplify]: iters left: 5 (89 enodes) 542.133 * * [simplify]: iters left: 4 (164 enodes) 542.198 * * [simplify]: iters left: 3 (368 enodes) 542.382 * * [simplify]: Extracting #0: cost 1 inf + 0 542.382 * * [simplify]: Extracting #1: cost 82 inf + 0 542.383 * * [simplify]: Extracting #2: cost 167 inf + 1 542.385 * * [simplify]: Extracting #3: cost 191 inf + 1 542.387 * * [simplify]: Extracting #4: cost 233 inf + 3005 542.393 * * [simplify]: Extracting #5: cost 191 inf + 21129 542.405 * * [simplify]: Extracting #6: cost 122 inf + 40765 542.437 * * [simplify]: Extracting #7: cost 15 inf + 87521 542.477 * * [simplify]: Extracting #8: cost 0 inf + 96347 542.500 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 542.500 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 542.500 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 542.500 * * [simplify]: iters left: 6 (18 enodes) 542.505 * * [simplify]: iters left: 5 (64 enodes) 542.524 * * [simplify]: iters left: 4 (90 enodes) 542.551 * * [simplify]: iters left: 3 (127 enodes) 542.589 * * [simplify]: iters left: 2 (187 enodes) 542.657 * * [simplify]: iters left: 1 (289 enodes) 542.752 * * [simplify]: Extracting #0: cost 1 inf + 0 542.752 * * [simplify]: Extracting #1: cost 22 inf + 0 542.753 * * [simplify]: Extracting #2: cost 45 inf + 0 542.753 * * [simplify]: Extracting #3: cost 71 inf + 0 542.754 * * [simplify]: Extracting #4: cost 106 inf + 62 542.755 * * [simplify]: Extracting #5: cost 87 inf + 2851 542.759 * * [simplify]: Extracting #6: cost 36 inf + 14485 542.769 * * [simplify]: Extracting #7: cost 4 inf + 22282 542.776 * * [simplify]: Extracting #8: cost 0 inf + 23112 542.780 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))))) 542.780 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (cos th)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))))))) 542.780 * * * * [progress]: [ 913 / 2703 ] simplifiying candidate # 542.780 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 542.781 * * [simplify]: iters left: 6 (28 enodes) 542.788 * * [simplify]: iters left: 5 (110 enodes) 542.811 * * [simplify]: iters left: 4 (198 enodes) 542.866 * * [simplify]: Extracting #0: cost 1 inf + 0 542.866 * * [simplify]: Extracting #1: cost 55 inf + 0 542.867 * * [simplify]: Extracting #2: cost 144 inf + 0 542.867 * * [simplify]: Extracting #3: cost 179 inf + 0 542.869 * * [simplify]: Extracting #4: cost 188 inf + 1253 542.871 * * [simplify]: Extracting #5: cost 174 inf + 5561 542.875 * * [simplify]: Extracting #6: cost 133 inf + 18841 542.886 * * [simplify]: Extracting #7: cost 87 inf + 37562 542.894 * * [simplify]: Extracting #8: cost 52 inf + 56777 542.908 * * [simplify]: Extracting #9: cost 9 inf + 89347 542.935 * * [simplify]: Extracting #10: cost 0 inf + 96718 542.968 * [simplify]: Simplified to (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (fabs (cbrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))))) 542.968 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (fabs (cbrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 542.968 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 542.969 * * [simplify]: iters left: 6 (19 enodes) 542.978 * * [simplify]: iters left: 5 (67 enodes) 543.000 * * [simplify]: iters left: 4 (93 enodes) 543.030 * * [simplify]: iters left: 3 (130 enodes) 543.052 * * [simplify]: iters left: 2 (190 enodes) 543.097 * * [simplify]: iters left: 1 (292 enodes) 543.195 * * [simplify]: Extracting #0: cost 1 inf + 0 543.195 * * [simplify]: Extracting #1: cost 22 inf + 0 543.195 * * [simplify]: Extracting #2: cost 45 inf + 0 543.196 * * [simplify]: Extracting #3: cost 72 inf + 0 543.196 * * [simplify]: Extracting #4: cost 107 inf + 62 543.198 * * [simplify]: Extracting #5: cost 89 inf + 3010 543.201 * * [simplify]: Extracting #6: cost 42 inf + 14213 543.210 * * [simplify]: Extracting #7: cost 4 inf + 24003 543.219 * * [simplify]: Extracting #8: cost 0 inf + 25114 543.227 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2))))) 543.228 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2))))))) 543.228 * * * * [progress]: [ 914 / 2703 ] simplifiying candidate # 543.228 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 543.229 * * [simplify]: iters left: 6 (28 enodes) 543.243 * * [simplify]: iters left: 5 (109 enodes) 543.283 * * [simplify]: iters left: 4 (189 enodes) 543.356 * * [simplify]: iters left: 3 (445 enodes) 543.564 * * [simplify]: Extracting #0: cost 1 inf + 0 543.564 * * [simplify]: Extracting #1: cost 117 inf + 0 543.566 * * [simplify]: Extracting #2: cost 285 inf + 0 543.567 * * [simplify]: Extracting #3: cost 315 inf + 0 543.569 * * [simplify]: Extracting #4: cost 371 inf + 527 543.574 * * [simplify]: Extracting #5: cost 308 inf + 23391 543.595 * * [simplify]: Extracting #6: cost 127 inf + 108389 543.641 * * [simplify]: Extracting #7: cost 9 inf + 194961 543.689 * * [simplify]: Extracting #8: cost 0 inf + 202765 543.768 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (fabs (cbrt 2))) (/ (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) 543.768 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (fabs (cbrt 2))) (/ (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 543.769 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 543.769 * * [simplify]: iters left: 6 (19 enodes) 543.778 * * [simplify]: iters left: 5 (67 enodes) 543.789 * * [simplify]: iters left: 4 (93 enodes) 543.805 * * [simplify]: iters left: 3 (130 enodes) 543.842 * * [simplify]: iters left: 2 (190 enodes) 543.903 * * [simplify]: iters left: 1 (292 enodes) 543.988 * * [simplify]: Extracting #0: cost 1 inf + 0 543.989 * * [simplify]: Extracting #1: cost 22 inf + 0 543.989 * * [simplify]: Extracting #2: cost 45 inf + 0 543.989 * * [simplify]: Extracting #3: cost 72 inf + 0 543.989 * * [simplify]: Extracting #4: cost 107 inf + 62 543.990 * * [simplify]: Extracting #5: cost 89 inf + 3010 543.992 * * [simplify]: Extracting #6: cost 42 inf + 14253 543.996 * * [simplify]: Extracting #7: cost 4 inf + 24083 544.002 * * [simplify]: Extracting #8: cost 0 inf + 25194 544.006 * [simplify]: Simplified to (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2))))) 544.006 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2))))))) 544.007 * * * * [progress]: [ 915 / 2703 ] simplifiying candidate # 544.007 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 544.007 * * [simplify]: iters left: 6 (27 enodes) 544.014 * * [simplify]: iters left: 5 (105 enodes) 544.039 * * [simplify]: iters left: 4 (185 enodes) 544.075 * * [simplify]: iters left: 3 (441 enodes) 544.343 * * [simplify]: Extracting #0: cost 1 inf + 0 544.343 * * [simplify]: Extracting #1: cost 120 inf + 0 544.344 * * [simplify]: Extracting #2: cost 287 inf + 0 544.349 * * [simplify]: Extracting #3: cost 316 inf + 0 544.351 * * [simplify]: Extracting #4: cost 356 inf + 4071 544.356 * * [simplify]: Extracting #5: cost 280 inf + 36201 544.397 * * [simplify]: Extracting #6: cost 55 inf + 160300 544.477 * * [simplify]: Extracting #7: cost 2 inf + 198409 544.535 * * [simplify]: Extracting #8: cost 0 inf + 198873 544.614 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (fabs (cbrt 2))) (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 544.614 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (fabs (cbrt 2))) (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 544.615 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 544.615 * * [simplify]: iters left: 6 (19 enodes) 544.625 * * [simplify]: iters left: 5 (67 enodes) 544.646 * * [simplify]: iters left: 4 (93 enodes) 544.676 * * [simplify]: iters left: 3 (130 enodes) 544.699 * * [simplify]: iters left: 2 (190 enodes) 544.730 * * [simplify]: iters left: 1 (292 enodes) 544.801 * * [simplify]: Extracting #0: cost 1 inf + 0 544.801 * * [simplify]: Extracting #1: cost 22 inf + 0 544.801 * * [simplify]: Extracting #2: cost 45 inf + 0 544.801 * * [simplify]: Extracting #3: cost 72 inf + 0 544.802 * * [simplify]: Extracting #4: cost 107 inf + 62 544.802 * * [simplify]: Extracting #5: cost 89 inf + 3010 544.804 * * [simplify]: Extracting #6: cost 42 inf + 13853 544.808 * * [simplify]: Extracting #7: cost 4 inf + 23203 544.816 * * [simplify]: Extracting #8: cost 0 inf + 24234 544.825 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2))))) 544.825 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2))))))) 544.825 * * * * [progress]: [ 916 / 2703 ] simplifiying candidate # 544.826 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 544.826 * * [simplify]: iters left: 6 (26 enodes) 544.841 * * [simplify]: iters left: 5 (104 enodes) 544.880 * * [simplify]: iters left: 4 (177 enodes) 544.914 * * [simplify]: iters left: 3 (373 enodes) 545.061 * * [simplify]: Extracting #0: cost 1 inf + 0 545.061 * * [simplify]: Extracting #1: cost 83 inf + 0 545.062 * * [simplify]: Extracting #2: cost 168 inf + 1 545.063 * * [simplify]: Extracting #3: cost 195 inf + 1 545.066 * * [simplify]: Extracting #4: cost 230 inf + 5825 545.071 * * [simplify]: Extracting #5: cost 206 inf + 13511 545.091 * * [simplify]: Extracting #6: cost 66 inf + 69959 545.113 * * [simplify]: Extracting #7: cost 6 inf + 100541 545.136 * * [simplify]: Extracting #8: cost 0 inf + 101933 545.177 * [simplify]: Simplified to (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (cbrt (fabs (cbrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 545.177 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (cbrt (fabs (cbrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 545.177 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 545.178 * * [simplify]: iters left: 6 (18 enodes) 545.182 * * [simplify]: iters left: 5 (64 enodes) 545.192 * * [simplify]: iters left: 4 (90 enodes) 545.208 * * [simplify]: iters left: 3 (127 enodes) 545.246 * * [simplify]: iters left: 2 (187 enodes) 545.308 * * [simplify]: iters left: 1 (289 enodes) 545.387 * * [simplify]: Extracting #0: cost 1 inf + 0 545.387 * * [simplify]: Extracting #1: cost 22 inf + 0 545.387 * * [simplify]: Extracting #2: cost 45 inf + 0 545.387 * * [simplify]: Extracting #3: cost 71 inf + 0 545.388 * * [simplify]: Extracting #4: cost 106 inf + 62 545.388 * * [simplify]: Extracting #5: cost 87 inf + 2931 545.390 * * [simplify]: Extracting #6: cost 36 inf + 14565 545.396 * * [simplify]: Extracting #7: cost 4 inf + 22362 545.400 * * [simplify]: Extracting #8: cost 0 inf + 23192 545.407 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (cbrt 2)))))) 545.407 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (cbrt (fabs (cbrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (cbrt 2)))))))) 545.407 * * * * [progress]: [ 917 / 2703 ] simplifiying candidate # 545.408 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 545.408 * * [simplify]: iters left: 6 (27 enodes) 545.422 * * [simplify]: iters left: 5 (105 enodes) 545.458 * * [simplify]: iters left: 4 (185 enodes) 545.522 * * [simplify]: iters left: 3 (441 enodes) 545.765 * * [simplify]: Extracting #0: cost 1 inf + 0 545.766 * * [simplify]: Extracting #1: cost 120 inf + 0 545.768 * * [simplify]: Extracting #2: cost 287 inf + 0 545.770 * * [simplify]: Extracting #3: cost 316 inf + 0 545.773 * * [simplify]: Extracting #4: cost 356 inf + 4071 545.784 * * [simplify]: Extracting #5: cost 280 inf + 36201 545.812 * * [simplify]: Extracting #6: cost 55 inf + 160300 545.866 * * [simplify]: Extracting #7: cost 2 inf + 198409 545.943 * * [simplify]: Extracting #8: cost 0 inf + 198873 545.996 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (fabs (cbrt 2))) (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 545.996 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (fabs (cbrt 2))) (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 545.996 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 545.996 * * [simplify]: iters left: 6 (19 enodes) 546.001 * * [simplify]: iters left: 5 (67 enodes) 546.020 * * [simplify]: iters left: 4 (93 enodes) 546.049 * * [simplify]: iters left: 3 (130 enodes) 546.087 * * [simplify]: iters left: 2 (190 enodes) 546.133 * * [simplify]: iters left: 1 (292 enodes) 546.180 * * [simplify]: Extracting #0: cost 1 inf + 0 546.182 * * [simplify]: Extracting #1: cost 22 inf + 0 546.182 * * [simplify]: Extracting #2: cost 45 inf + 0 546.182 * * [simplify]: Extracting #3: cost 72 inf + 0 546.183 * * [simplify]: Extracting #4: cost 107 inf + 62 546.184 * * [simplify]: Extracting #5: cost 89 inf + 3010 546.188 * * [simplify]: Extracting #6: cost 42 inf + 13853 546.196 * * [simplify]: Extracting #7: cost 4 inf + 23203 546.206 * * [simplify]: Extracting #8: cost 0 inf + 24234 546.215 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2))))) 546.215 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (cbrt 2))))))) 546.215 * * * * [progress]: [ 918 / 2703 ] simplifiying candidate # 546.216 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 546.216 * * [simplify]: iters left: 6 (25 enodes) 546.230 * * [simplify]: iters left: 5 (99 enodes) 546.265 * * [simplify]: iters left: 4 (174 enodes) 546.335 * * [simplify]: iters left: 3 (378 enodes) 546.508 * * [simplify]: Extracting #0: cost 1 inf + 0 546.509 * * [simplify]: Extracting #1: cost 81 inf + 0 546.510 * * [simplify]: Extracting #2: cost 168 inf + 1 546.511 * * [simplify]: Extracting #3: cost 195 inf + 1 546.513 * * [simplify]: Extracting #4: cost 240 inf + 3044 546.521 * * [simplify]: Extracting #5: cost 211 inf + 11319 546.532 * * [simplify]: Extracting #6: cost 116 inf + 40111 546.548 * * [simplify]: Extracting #7: cost 18 inf + 91630 546.579 * * [simplify]: Extracting #8: cost 0 inf + 102515 546.618 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 546.618 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 546.619 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 546.619 * * [simplify]: iters left: 6 (18 enodes) 546.628 * * [simplify]: iters left: 5 (64 enodes) 546.646 * * [simplify]: iters left: 4 (90 enodes) 546.671 * * [simplify]: iters left: 3 (127 enodes) 546.690 * * [simplify]: iters left: 2 (187 enodes) 546.721 * * [simplify]: iters left: 1 (289 enodes) 546.769 * * [simplify]: Extracting #0: cost 1 inf + 0 546.769 * * [simplify]: Extracting #1: cost 22 inf + 0 546.769 * * [simplify]: Extracting #2: cost 45 inf + 0 546.769 * * [simplify]: Extracting #3: cost 71 inf + 0 546.770 * * [simplify]: Extracting #4: cost 106 inf + 62 546.771 * * [simplify]: Extracting #5: cost 87 inf + 2931 546.775 * * [simplify]: Extracting #6: cost 36 inf + 14565 546.784 * * [simplify]: Extracting #7: cost 4 inf + 22362 546.792 * * [simplify]: Extracting #8: cost 0 inf + 23192 546.799 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (cbrt 2)))))) 546.799 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (cbrt 2)))))))) 546.800 * * * * [progress]: [ 919 / 2703 ] simplifiying candidate # 546.800 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 546.800 * * [simplify]: iters left: 6 (26 enodes) 546.807 * * [simplify]: iters left: 5 (103 enodes) 546.828 * * [simplify]: iters left: 4 (191 enodes) 546.905 * * [simplify]: iters left: 3 (499 enodes) 547.162 * * [simplify]: Extracting #0: cost 1 inf + 0 547.162 * * [simplify]: Extracting #1: cost 151 inf + 0 547.164 * * [simplify]: Extracting #2: cost 404 inf + 0 547.167 * * [simplify]: Extracting #3: cost 433 inf + 0 547.176 * * [simplify]: Extracting #4: cost 469 inf + 5075 547.183 * * [simplify]: Extracting #5: cost 424 inf + 21156 547.202 * * [simplify]: Extracting #6: cost 291 inf + 74583 547.265 * * [simplify]: Extracting #7: cost 57 inf + 243115 547.347 * * [simplify]: Extracting #8: cost 0 inf + 282574 547.418 * * [simplify]: Extracting #9: cost 0 inf + 282534 547.509 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 547.509 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 547.509 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 547.510 * * [simplify]: iters left: 6 (19 enodes) 547.519 * * [simplify]: iters left: 5 (67 enodes) 547.540 * * [simplify]: iters left: 4 (93 enodes) 547.568 * * [simplify]: iters left: 3 (130 enodes) 547.593 * * [simplify]: iters left: 2 (190 enodes) 547.648 * * [simplify]: iters left: 1 (292 enodes) 547.744 * * [simplify]: Extracting #0: cost 1 inf + 0 547.744 * * [simplify]: Extracting #1: cost 22 inf + 0 547.745 * * [simplify]: Extracting #2: cost 45 inf + 0 547.745 * * [simplify]: Extracting #3: cost 72 inf + 0 547.746 * * [simplify]: Extracting #4: cost 107 inf + 62 547.747 * * [simplify]: Extracting #5: cost 89 inf + 2690 547.750 * * [simplify]: Extracting #6: cost 42 inf + 13453 547.759 * * [simplify]: Extracting #7: cost 4 inf + 22923 547.768 * * [simplify]: Extracting #8: cost 0 inf + 23954 547.774 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 547.774 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))))) 547.774 * * * * [progress]: [ 920 / 2703 ] simplifiying candidate # 547.774 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 547.774 * * [simplify]: iters left: 6 (26 enodes) 547.781 * * [simplify]: iters left: 5 (102 enodes) 547.798 * * [simplify]: iters left: 4 (182 enodes) 547.854 * * [simplify]: iters left: 3 (438 enodes) 548.034 * * [simplify]: Extracting #0: cost 1 inf + 0 548.034 * * [simplify]: Extracting #1: cost 117 inf + 0 548.035 * * [simplify]: Extracting #2: cost 285 inf + 0 548.036 * * [simplify]: Extracting #3: cost 313 inf + 0 548.038 * * [simplify]: Extracting #4: cost 365 inf + 709 548.040 * * [simplify]: Extracting #5: cost 335 inf + 10678 548.049 * * [simplify]: Extracting #6: cost 218 inf + 51037 548.087 * * [simplify]: Extracting #7: cost 116 inf + 107413 548.156 * * [simplify]: Extracting #8: cost 7 inf + 184914 548.215 * * [simplify]: Extracting #9: cost 0 inf + 190761 548.268 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 548.268 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 548.269 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 548.269 * * [simplify]: iters left: 6 (19 enodes) 548.274 * * [simplify]: iters left: 5 (67 enodes) 548.284 * * [simplify]: iters left: 4 (93 enodes) 548.299 * * [simplify]: iters left: 3 (130 enodes) 548.319 * * [simplify]: iters left: 2 (190 enodes) 548.357 * * [simplify]: iters left: 1 (292 enodes) 548.406 * * [simplify]: Extracting #0: cost 1 inf + 0 548.406 * * [simplify]: Extracting #1: cost 22 inf + 0 548.406 * * [simplify]: Extracting #2: cost 45 inf + 0 548.406 * * [simplify]: Extracting #3: cost 72 inf + 0 548.407 * * [simplify]: Extracting #4: cost 107 inf + 62 548.407 * * [simplify]: Extracting #5: cost 89 inf + 2690 548.409 * * [simplify]: Extracting #6: cost 42 inf + 13493 548.413 * * [simplify]: Extracting #7: cost 4 inf + 23003 548.418 * * [simplify]: Extracting #8: cost 0 inf + 24034 548.423 * [simplify]: Simplified to (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 548.423 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))))) 548.423 * * * * [progress]: [ 921 / 2703 ] simplifiying candidate # 548.423 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 548.423 * * [simplify]: iters left: 6 (25 enodes) 548.430 * * [simplify]: iters left: 5 (98 enodes) 548.447 * * [simplify]: iters left: 4 (178 enodes) 548.485 * * [simplify]: iters left: 3 (434 enodes) 548.679 * * [simplify]: Extracting #0: cost 1 inf + 0 548.680 * * [simplify]: Extracting #1: cost 116 inf + 0 548.681 * * [simplify]: Extracting #2: cost 284 inf + 0 548.682 * * [simplify]: Extracting #3: cost 311 inf + 0 548.684 * * [simplify]: Extracting #4: cost 350 inf + 4151 548.688 * * [simplify]: Extracting #5: cost 288 inf + 25012 548.716 * * [simplify]: Extracting #6: cost 122 inf + 102985 548.790 * * [simplify]: Extracting #7: cost 4 inf + 180781 548.829 * * [simplify]: Extracting #8: cost 0 inf + 183997 548.892 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 548.892 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 548.892 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 548.893 * * [simplify]: iters left: 6 (19 enodes) 548.904 * * [simplify]: iters left: 5 (67 enodes) 548.925 * * [simplify]: iters left: 4 (93 enodes) 548.954 * * [simplify]: iters left: 3 (130 enodes) 548.984 * * [simplify]: iters left: 2 (190 enodes) 549.029 * * [simplify]: iters left: 1 (292 enodes) 549.121 * * [simplify]: Extracting #0: cost 1 inf + 0 549.121 * * [simplify]: Extracting #1: cost 22 inf + 0 549.121 * * [simplify]: Extracting #2: cost 45 inf + 0 549.122 * * [simplify]: Extracting #3: cost 72 inf + 0 549.122 * * [simplify]: Extracting #4: cost 107 inf + 62 549.124 * * [simplify]: Extracting #5: cost 89 inf + 2690 549.127 * * [simplify]: Extracting #6: cost 42 inf + 13093 549.135 * * [simplify]: Extracting #7: cost 4 inf + 22123 549.139 * * [simplify]: Extracting #8: cost 0 inf + 23074 549.145 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 549.145 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))))) 549.146 * * * * [progress]: [ 922 / 2703 ] simplifiying candidate # 549.146 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 549.146 * * [simplify]: iters left: 6 (24 enodes) 549.153 * * [simplify]: iters left: 5 (97 enodes) 549.171 * * [simplify]: iters left: 4 (170 enodes) 549.216 * * [simplify]: iters left: 3 (366 enodes) 549.358 * * [simplify]: Extracting #0: cost 1 inf + 0 549.358 * * [simplify]: Extracting #1: cost 81 inf + 0 549.359 * * [simplify]: Extracting #2: cost 166 inf + 1 549.359 * * [simplify]: Extracting #3: cost 191 inf + 1 549.361 * * [simplify]: Extracting #4: cost 231 inf + 4150 549.364 * * [simplify]: Extracting #5: cost 186 inf + 23120 549.369 * * [simplify]: Extracting #6: cost 120 inf + 39782 549.385 * * [simplify]: Extracting #7: cost 27 inf + 88932 549.425 * * [simplify]: Extracting #8: cost 0 inf + 97456 549.451 * * [simplify]: Extracting #9: cost 0 inf + 94705 549.470 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 549.470 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 549.471 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 549.471 * * [simplify]: iters left: 6 (18 enodes) 549.475 * * [simplify]: iters left: 5 (64 enodes) 549.485 * * [simplify]: iters left: 4 (90 enodes) 549.499 * * [simplify]: iters left: 3 (127 enodes) 549.520 * * [simplify]: iters left: 2 (187 enodes) 549.551 * * [simplify]: iters left: 1 (289 enodes) 549.614 * * [simplify]: Extracting #0: cost 1 inf + 0 549.614 * * [simplify]: Extracting #1: cost 22 inf + 0 549.614 * * [simplify]: Extracting #2: cost 45 inf + 0 549.615 * * [simplify]: Extracting #3: cost 71 inf + 0 549.615 * * [simplify]: Extracting #4: cost 106 inf + 62 549.615 * * [simplify]: Extracting #5: cost 87 inf + 2611 549.617 * * [simplify]: Extracting #6: cost 36 inf + 13765 549.625 * * [simplify]: Extracting #7: cost 4 inf + 21242 549.633 * * [simplify]: Extracting #8: cost 0 inf + 22032 549.642 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))) 549.642 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))))) 549.643 * * * * [progress]: [ 923 / 2703 ] simplifiying candidate # 549.643 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 549.643 * * [simplify]: iters left: 6 (25 enodes) 549.655 * * [simplify]: iters left: 5 (98 enodes) 549.689 * * [simplify]: iters left: 4 (178 enodes) 549.752 * * [simplify]: iters left: 3 (434 enodes) 549.976 * * [simplify]: Extracting #0: cost 1 inf + 0 549.977 * * [simplify]: Extracting #1: cost 116 inf + 0 549.979 * * [simplify]: Extracting #2: cost 284 inf + 0 549.981 * * [simplify]: Extracting #3: cost 311 inf + 0 549.985 * * [simplify]: Extracting #4: cost 350 inf + 4151 549.993 * * [simplify]: Extracting #5: cost 288 inf + 25012 550.024 * * [simplify]: Extracting #6: cost 122 inf + 102985 550.100 * * [simplify]: Extracting #7: cost 4 inf + 180781 550.163 * * [simplify]: Extracting #8: cost 0 inf + 183997 550.208 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 550.208 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 550.209 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 550.209 * * [simplify]: iters left: 6 (19 enodes) 550.218 * * [simplify]: iters left: 5 (67 enodes) 550.233 * * [simplify]: iters left: 4 (93 enodes) 550.247 * * [simplify]: iters left: 3 (130 enodes) 550.275 * * [simplify]: iters left: 2 (190 enodes) 550.320 * * [simplify]: iters left: 1 (292 enodes) 550.374 * * [simplify]: Extracting #0: cost 1 inf + 0 550.374 * * [simplify]: Extracting #1: cost 22 inf + 0 550.374 * * [simplify]: Extracting #2: cost 45 inf + 0 550.374 * * [simplify]: Extracting #3: cost 72 inf + 0 550.374 * * [simplify]: Extracting #4: cost 107 inf + 62 550.376 * * [simplify]: Extracting #5: cost 89 inf + 2690 550.379 * * [simplify]: Extracting #6: cost 42 inf + 13093 550.387 * * [simplify]: Extracting #7: cost 4 inf + 22123 550.396 * * [simplify]: Extracting #8: cost 0 inf + 23074 550.405 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 550.405 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))))) 550.405 * * * * [progress]: [ 924 / 2703 ] simplifiying candidate # 550.405 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 550.406 * * [simplify]: iters left: 6 (23 enodes) 550.417 * * [simplify]: iters left: 5 (92 enodes) 550.446 * * [simplify]: iters left: 4 (167 enodes) 550.478 * * [simplify]: iters left: 3 (371 enodes) 550.615 * * [simplify]: Extracting #0: cost 1 inf + 0 550.615 * * [simplify]: Extracting #1: cost 80 inf + 0 550.616 * * [simplify]: Extracting #2: cost 167 inf + 1 550.617 * * [simplify]: Extracting #3: cost 192 inf + 1 550.619 * * [simplify]: Extracting #4: cost 229 inf + 4072 550.626 * * [simplify]: Extracting #5: cost 184 inf + 24828 550.641 * * [simplify]: Extracting #6: cost 136 inf + 39142 550.669 * * [simplify]: Extracting #7: cost 24 inf + 90483 550.705 * * [simplify]: Extracting #8: cost 0 inf + 97405 550.743 * * [simplify]: Extracting #9: cost 0 inf + 95047 550.762 * [simplify]: Simplified to (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 550.763 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 550.763 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 550.763 * * [simplify]: iters left: 6 (18 enodes) 550.767 * * [simplify]: iters left: 5 (64 enodes) 550.782 * * [simplify]: iters left: 4 (90 enodes) 550.811 * * [simplify]: iters left: 3 (127 enodes) 550.846 * * [simplify]: iters left: 2 (187 enodes) 550.877 * * [simplify]: iters left: 1 (289 enodes) 550.968 * * [simplify]: Extracting #0: cost 1 inf + 0 550.968 * * [simplify]: Extracting #1: cost 22 inf + 0 550.968 * * [simplify]: Extracting #2: cost 45 inf + 0 550.969 * * [simplify]: Extracting #3: cost 71 inf + 0 550.969 * * [simplify]: Extracting #4: cost 106 inf + 62 550.970 * * [simplify]: Extracting #5: cost 87 inf + 2611 550.974 * * [simplify]: Extracting #6: cost 36 inf + 13765 550.982 * * [simplify]: Extracting #7: cost 4 inf + 21242 550.990 * * [simplify]: Extracting #8: cost 0 inf + 22032 550.999 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))) 550.999 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))))) 550.999 * * * * [progress]: [ 925 / 2703 ] simplifiying candidate # 551.000 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 551.000 * * [simplify]: iters left: 6 (27 enodes) 551.012 * * [simplify]: iters left: 5 (108 enodes) 551.031 * * [simplify]: iters left: 4 (196 enodes) 551.108 * * [simplify]: Extracting #0: cost 1 inf + 0 551.108 * * [simplify]: Extracting #1: cost 49 inf + 0 551.109 * * [simplify]: Extracting #2: cost 143 inf + 1 551.110 * * [simplify]: Extracting #3: cost 179 inf + 1 551.111 * * [simplify]: Extracting #4: cost 186 inf + 1534 551.115 * * [simplify]: Extracting #5: cost 154 inf + 11678 551.134 * * [simplify]: Extracting #6: cost 42 inf + 59539 551.163 * * [simplify]: Extracting #7: cost 1 inf + 82010 551.193 * * [simplify]: Extracting #8: cost 0 inf + 82874 551.223 * [simplify]: Simplified to (* (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) 551.223 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 551.223 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 551.223 * * [simplify]: iters left: 6 (18 enodes) 551.228 * * [simplify]: iters left: 5 (64 enodes) 551.239 * * [simplify]: iters left: 4 (90 enodes) 551.252 * * [simplify]: iters left: 3 (127 enodes) 551.274 * * [simplify]: iters left: 2 (187 enodes) 551.314 * * [simplify]: iters left: 1 (289 enodes) 551.409 * * [simplify]: Extracting #0: cost 1 inf + 0 551.409 * * [simplify]: Extracting #1: cost 22 inf + 0 551.410 * * [simplify]: Extracting #2: cost 45 inf + 0 551.410 * * [simplify]: Extracting #3: cost 72 inf + 0 551.411 * * [simplify]: Extracting #4: cost 101 inf + 387 551.412 * * [simplify]: Extracting #5: cost 88 inf + 2410 551.416 * * [simplify]: Extracting #6: cost 34 inf + 14673 551.424 * * [simplify]: Extracting #7: cost 3 inf + 22828 551.433 * * [simplify]: Extracting #8: cost 0 inf + 22954 551.441 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 551.441 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 551.442 * * * * [progress]: [ 926 / 2703 ] simplifiying candidate # 551.442 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 551.442 * * [simplify]: iters left: 6 (27 enodes) 551.460 * * [simplify]: iters left: 5 (107 enodes) 551.496 * * [simplify]: iters left: 4 (184 enodes) 551.543 * * [simplify]: iters left: 3 (417 enodes) 551.748 * * [simplify]: Extracting #0: cost 1 inf + 0 551.748 * * [simplify]: Extracting #1: cost 116 inf + 0 551.750 * * [simplify]: Extracting #2: cost 224 inf + 1 551.751 * * [simplify]: Extracting #3: cost 248 inf + 1 551.754 * * [simplify]: Extracting #4: cost 289 inf + 3931 551.758 * * [simplify]: Extracting #5: cost 268 inf + 11715 551.772 * * [simplify]: Extracting #6: cost 140 inf + 55541 551.806 * * [simplify]: Extracting #7: cost 24 inf + 120943 551.836 * * [simplify]: Extracting #8: cost 2 inf + 134791 551.882 * * [simplify]: Extracting #9: cost 0 inf + 136178 551.916 * [simplify]: Simplified to (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 551.916 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 551.916 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 551.917 * * [simplify]: iters left: 6 (18 enodes) 551.924 * * [simplify]: iters left: 5 (64 enodes) 551.936 * * [simplify]: iters left: 4 (90 enodes) 551.950 * * [simplify]: iters left: 3 (127 enodes) 551.983 * * [simplify]: iters left: 2 (187 enodes) 552.046 * * [simplify]: iters left: 1 (289 enodes) 552.138 * * [simplify]: Extracting #0: cost 1 inf + 0 552.139 * * [simplify]: Extracting #1: cost 22 inf + 0 552.139 * * [simplify]: Extracting #2: cost 45 inf + 0 552.139 * * [simplify]: Extracting #3: cost 72 inf + 0 552.140 * * [simplify]: Extracting #4: cost 101 inf + 387 552.141 * * [simplify]: Extracting #5: cost 88 inf + 2410 552.145 * * [simplify]: Extracting #6: cost 34 inf + 14713 552.156 * * [simplify]: Extracting #7: cost 3 inf + 22908 552.164 * * [simplify]: Extracting #8: cost 0 inf + 23034 552.173 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 552.173 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 552.173 * * * * [progress]: [ 927 / 2703 ] simplifiying candidate # 552.174 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 552.174 * * [simplify]: iters left: 6 (26 enodes) 552.191 * * [simplify]: iters left: 5 (103 enodes) 552.226 * * [simplify]: iters left: 4 (180 enodes) 552.273 * * [simplify]: iters left: 3 (413 enodes) 552.460 * * [simplify]: Extracting #0: cost 1 inf + 0 552.461 * * [simplify]: Extracting #1: cost 114 inf + 0 552.461 * * [simplify]: Extracting #2: cost 220 inf + 1 552.462 * * [simplify]: Extracting #3: cost 243 inf + 1 552.464 * * [simplify]: Extracting #4: cost 277 inf + 6789 552.467 * * [simplify]: Extracting #5: cost 253 inf + 13999 552.475 * * [simplify]: Extracting #6: cost 139 inf + 50098 552.498 * * [simplify]: Extracting #7: cost 34 inf + 106790 552.543 * * [simplify]: Extracting #8: cost 3 inf + 126415 552.599 * * [simplify]: Extracting #9: cost 0 inf + 128768 552.652 * [simplify]: Simplified to (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 552.652 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 552.652 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 552.653 * * [simplify]: iters left: 6 (18 enodes) 552.661 * * [simplify]: iters left: 5 (64 enodes) 552.681 * * [simplify]: iters left: 4 (90 enodes) 552.708 * * [simplify]: iters left: 3 (127 enodes) 552.749 * * [simplify]: iters left: 2 (187 enodes) 552.796 * * [simplify]: iters left: 1 (289 enodes) 552.862 * * [simplify]: Extracting #0: cost 1 inf + 0 552.862 * * [simplify]: Extracting #1: cost 22 inf + 0 552.862 * * [simplify]: Extracting #2: cost 45 inf + 0 552.862 * * [simplify]: Extracting #3: cost 72 inf + 0 552.862 * * [simplify]: Extracting #4: cost 101 inf + 387 552.863 * * [simplify]: Extracting #5: cost 88 inf + 2410 552.865 * * [simplify]: Extracting #6: cost 34 inf + 14313 552.869 * * [simplify]: Extracting #7: cost 3 inf + 21948 552.874 * * [simplify]: Extracting #8: cost 0 inf + 22074 552.879 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 552.879 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 552.879 * * * * [progress]: [ 928 / 2703 ] simplifiying candidate # 552.879 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt 1))) 552.879 * * [simplify]: iters left: 6 (23 enodes) 552.892 * * [simplify]: iters left: 5 (94 enodes) 552.919 * * [simplify]: iters left: 4 (163 enodes) 552.954 * * [simplify]: iters left: 3 (317 enodes) 553.084 * * [simplify]: Extracting #0: cost 1 inf + 0 553.084 * * [simplify]: Extracting #1: cost 58 inf + 0 553.085 * * [simplify]: Extracting #2: cost 100 inf + 1 553.085 * * [simplify]: Extracting #3: cost 122 inf + 1 553.086 * * [simplify]: Extracting #4: cost 170 inf + 1697 553.088 * * [simplify]: Extracting #5: cost 140 inf + 12904 553.096 * * [simplify]: Extracting #6: cost 34 inf + 40665 553.114 * * [simplify]: Extracting #7: cost 0 inf + 52051 553.137 * * [simplify]: Extracting #8: cost 0 inf + 52011 553.159 * [simplify]: Simplified to (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 553.159 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 553.160 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 553.160 * * [simplify]: iters left: 6 (17 enodes) 553.165 * * [simplify]: iters left: 5 (61 enodes) 553.175 * * [simplify]: iters left: 4 (87 enodes) 553.189 * * [simplify]: iters left: 3 (124 enodes) 553.212 * * [simplify]: iters left: 2 (184 enodes) 553.274 * * [simplify]: iters left: 1 (286 enodes) 553.336 * * [simplify]: Extracting #0: cost 1 inf + 0 553.336 * * [simplify]: Extracting #1: cost 21 inf + 0 553.336 * * [simplify]: Extracting #2: cost 44 inf + 0 553.337 * * [simplify]: Extracting #3: cost 71 inf + 0 553.338 * * [simplify]: Extracting #4: cost 98 inf + 387 553.339 * * [simplify]: Extracting #5: cost 88 inf + 1985 553.342 * * [simplify]: Extracting #6: cost 48 inf + 10434 553.349 * * [simplify]: Extracting #7: cost 5 inf + 19295 553.357 * * [simplify]: Extracting #8: cost 0 inf + 20206 553.365 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 553.365 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 553.366 * * * * [progress]: [ 929 / 2703 ] simplifiying candidate # 553.366 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 553.366 * * [simplify]: iters left: 6 (26 enodes) 553.383 * * [simplify]: iters left: 5 (103 enodes) 553.400 * * [simplify]: iters left: 4 (180 enodes) 553.460 * * [simplify]: iters left: 3 (413 enodes) 553.621 * * [simplify]: Extracting #0: cost 1 inf + 0 553.621 * * [simplify]: Extracting #1: cost 114 inf + 0 553.622 * * [simplify]: Extracting #2: cost 220 inf + 1 553.623 * * [simplify]: Extracting #3: cost 243 inf + 1 553.625 * * [simplify]: Extracting #4: cost 277 inf + 6789 553.627 * * [simplify]: Extracting #5: cost 253 inf + 13999 553.636 * * [simplify]: Extracting #6: cost 139 inf + 50098 553.679 * * [simplify]: Extracting #7: cost 34 inf + 106790 553.735 * * [simplify]: Extracting #8: cost 3 inf + 126415 553.778 * * [simplify]: Extracting #9: cost 0 inf + 128768 553.806 * [simplify]: Simplified to (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 553.807 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 553.807 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 553.807 * * [simplify]: iters left: 6 (18 enodes) 553.812 * * [simplify]: iters left: 5 (64 enodes) 553.822 * * [simplify]: iters left: 4 (90 enodes) 553.846 * * [simplify]: iters left: 3 (127 enodes) 553.865 * * [simplify]: iters left: 2 (187 enodes) 553.902 * * [simplify]: iters left: 1 (289 enodes) 553.999 * * [simplify]: Extracting #0: cost 1 inf + 0 553.999 * * [simplify]: Extracting #1: cost 22 inf + 0 553.999 * * [simplify]: Extracting #2: cost 45 inf + 0 554.000 * * [simplify]: Extracting #3: cost 72 inf + 0 554.000 * * [simplify]: Extracting #4: cost 101 inf + 387 554.001 * * [simplify]: Extracting #5: cost 88 inf + 2410 554.006 * * [simplify]: Extracting #6: cost 34 inf + 14313 554.014 * * [simplify]: Extracting #7: cost 3 inf + 21948 554.023 * * [simplify]: Extracting #8: cost 0 inf + 22074 554.032 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 554.032 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 554.032 * * * * [progress]: [ 930 / 2703 ] simplifiying candidate # 554.033 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt 1)) 1)) 554.033 * * [simplify]: iters left: 6 (23 enodes) 554.049 * * [simplify]: iters left: 5 (92 enodes) 554.086 * * [simplify]: iters left: 4 (156 enodes) 554.126 * * [simplify]: iters left: 3 (312 enodes) 554.269 * * [simplify]: Extracting #0: cost 1 inf + 0 554.270 * * [simplify]: Extracting #1: cost 53 inf + 0 554.270 * * [simplify]: Extracting #2: cost 88 inf + 1 554.271 * * [simplify]: Extracting #3: cost 110 inf + 1 554.272 * * [simplify]: Extracting #4: cost 158 inf + 1316 554.275 * * [simplify]: Extracting #5: cost 138 inf + 9358 554.283 * * [simplify]: Extracting #6: cost 71 inf + 23049 554.304 * * [simplify]: Extracting #7: cost 11 inf + 41792 554.325 * * [simplify]: Extracting #8: cost 0 inf + 46949 554.346 * [simplify]: Simplified to (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 554.346 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 554.346 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 554.347 * * [simplify]: iters left: 6 (17 enodes) 554.355 * * [simplify]: iters left: 5 (61 enodes) 554.374 * * [simplify]: iters left: 4 (87 enodes) 554.399 * * [simplify]: iters left: 3 (124 enodes) 554.418 * * [simplify]: iters left: 2 (184 enodes) 554.476 * * [simplify]: iters left: 1 (286 enodes) 554.553 * * [simplify]: Extracting #0: cost 1 inf + 0 554.553 * * [simplify]: Extracting #1: cost 21 inf + 0 554.553 * * [simplify]: Extracting #2: cost 44 inf + 0 554.553 * * [simplify]: Extracting #3: cost 71 inf + 0 554.554 * * [simplify]: Extracting #4: cost 98 inf + 387 554.554 * * [simplify]: Extracting #5: cost 88 inf + 1985 554.556 * * [simplify]: Extracting #6: cost 48 inf + 10434 554.560 * * [simplify]: Extracting #7: cost 5 inf + 19295 554.564 * * [simplify]: Extracting #8: cost 0 inf + 20206 554.568 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 554.568 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 554.568 * * * * [progress]: [ 931 / 2703 ] simplifiying candidate # 554.568 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 554.569 * * [simplify]: iters left: 6 (26 enodes) 554.575 * * [simplify]: iters left: 5 (103 enodes) 554.601 * * [simplify]: iters left: 4 (191 enodes) 554.644 * * [simplify]: iters left: 3 (499 enodes) 554.893 * * [simplify]: Extracting #0: cost 1 inf + 0 554.893 * * [simplify]: Extracting #1: cost 151 inf + 0 554.896 * * [simplify]: Extracting #2: cost 404 inf + 0 554.899 * * [simplify]: Extracting #3: cost 433 inf + 0 554.904 * * [simplify]: Extracting #4: cost 469 inf + 5075 554.912 * * [simplify]: Extracting #5: cost 424 inf + 21156 554.934 * * [simplify]: Extracting #6: cost 291 inf + 74583 555.003 * * [simplify]: Extracting #7: cost 57 inf + 243115 555.081 * * [simplify]: Extracting #8: cost 0 inf + 282574 555.183 * * [simplify]: Extracting #9: cost 0 inf + 282534 555.268 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 555.268 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 555.269 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 555.269 * * [simplify]: iters left: 6 (19 enodes) 555.279 * * [simplify]: iters left: 5 (67 enodes) 555.291 * * [simplify]: iters left: 4 (93 enodes) 555.306 * * [simplify]: iters left: 3 (130 enodes) 555.326 * * [simplify]: iters left: 2 (190 enodes) 555.358 * * [simplify]: iters left: 1 (292 enodes) 555.440 * * [simplify]: Extracting #0: cost 1 inf + 0 555.441 * * [simplify]: Extracting #1: cost 22 inf + 0 555.441 * * [simplify]: Extracting #2: cost 45 inf + 0 555.441 * * [simplify]: Extracting #3: cost 72 inf + 0 555.442 * * [simplify]: Extracting #4: cost 107 inf + 62 555.443 * * [simplify]: Extracting #5: cost 89 inf + 2690 555.446 * * [simplify]: Extracting #6: cost 42 inf + 13453 555.455 * * [simplify]: Extracting #7: cost 4 inf + 22923 555.466 * * [simplify]: Extracting #8: cost 0 inf + 23954 555.475 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 555.475 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))))) 555.475 * * * * [progress]: [ 932 / 2703 ] simplifiying candidate # 555.476 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 555.476 * * [simplify]: iters left: 6 (26 enodes) 555.489 * * [simplify]: iters left: 5 (102 enodes) 555.523 * * [simplify]: iters left: 4 (182 enodes) 555.565 * * [simplify]: iters left: 3 (438 enodes) 555.788 * * [simplify]: Extracting #0: cost 1 inf + 0 555.789 * * [simplify]: Extracting #1: cost 117 inf + 0 555.790 * * [simplify]: Extracting #2: cost 285 inf + 0 555.793 * * [simplify]: Extracting #3: cost 313 inf + 0 555.795 * * [simplify]: Extracting #4: cost 365 inf + 709 555.797 * * [simplify]: Extracting #5: cost 335 inf + 10678 555.806 * * [simplify]: Extracting #6: cost 218 inf + 51037 555.824 * * [simplify]: Extracting #7: cost 116 inf + 107413 555.875 * * [simplify]: Extracting #8: cost 7 inf + 184914 555.944 * * [simplify]: Extracting #9: cost 0 inf + 190761 556.020 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 556.020 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 556.021 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 556.021 * * [simplify]: iters left: 6 (19 enodes) 556.030 * * [simplify]: iters left: 5 (67 enodes) 556.048 * * [simplify]: iters left: 4 (93 enodes) 556.062 * * [simplify]: iters left: 3 (130 enodes) 556.092 * * [simplify]: iters left: 2 (190 enodes) 556.152 * * [simplify]: iters left: 1 (292 enodes) 556.245 * * [simplify]: Extracting #0: cost 1 inf + 0 556.245 * * [simplify]: Extracting #1: cost 22 inf + 0 556.246 * * [simplify]: Extracting #2: cost 45 inf + 0 556.246 * * [simplify]: Extracting #3: cost 72 inf + 0 556.247 * * [simplify]: Extracting #4: cost 107 inf + 62 556.248 * * [simplify]: Extracting #5: cost 89 inf + 2690 556.251 * * [simplify]: Extracting #6: cost 42 inf + 13493 556.259 * * [simplify]: Extracting #7: cost 4 inf + 23003 556.263 * * [simplify]: Extracting #8: cost 0 inf + 24034 556.268 * [simplify]: Simplified to (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 556.268 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))))) 556.268 * * * * [progress]: [ 933 / 2703 ] simplifiying candidate # 556.269 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 556.269 * * [simplify]: iters left: 6 (25 enodes) 556.275 * * [simplify]: iters left: 5 (98 enodes) 556.296 * * [simplify]: iters left: 4 (178 enodes) 556.336 * * [simplify]: iters left: 3 (434 enodes) 556.527 * * [simplify]: Extracting #0: cost 1 inf + 0 556.527 * * [simplify]: Extracting #1: cost 116 inf + 0 556.534 * * [simplify]: Extracting #2: cost 284 inf + 0 556.537 * * [simplify]: Extracting #3: cost 311 inf + 0 556.540 * * [simplify]: Extracting #4: cost 350 inf + 4151 556.545 * * [simplify]: Extracting #5: cost 288 inf + 25012 556.561 * * [simplify]: Extracting #6: cost 122 inf + 102985 556.621 * * [simplify]: Extracting #7: cost 4 inf + 180781 556.694 * * [simplify]: Extracting #8: cost 0 inf + 183997 556.746 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 556.746 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 556.747 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 556.747 * * [simplify]: iters left: 6 (19 enodes) 556.754 * * [simplify]: iters left: 5 (67 enodes) 556.765 * * [simplify]: iters left: 4 (93 enodes) 556.779 * * [simplify]: iters left: 3 (130 enodes) 556.821 * * [simplify]: iters left: 2 (190 enodes) 556.852 * * [simplify]: iters left: 1 (292 enodes) 556.924 * * [simplify]: Extracting #0: cost 1 inf + 0 556.924 * * [simplify]: Extracting #1: cost 22 inf + 0 556.924 * * [simplify]: Extracting #2: cost 45 inf + 0 556.924 * * [simplify]: Extracting #3: cost 72 inf + 0 556.925 * * [simplify]: Extracting #4: cost 107 inf + 62 556.926 * * [simplify]: Extracting #5: cost 89 inf + 2690 556.930 * * [simplify]: Extracting #6: cost 42 inf + 13093 556.936 * * [simplify]: Extracting #7: cost 4 inf + 22123 556.941 * * [simplify]: Extracting #8: cost 0 inf + 23074 556.945 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 556.945 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))))) 556.945 * * * * [progress]: [ 934 / 2703 ] simplifiying candidate # 556.946 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 556.946 * * [simplify]: iters left: 6 (24 enodes) 556.952 * * [simplify]: iters left: 5 (97 enodes) 556.969 * * [simplify]: iters left: 4 (170 enodes) 557.025 * * [simplify]: iters left: 3 (366 enodes) 557.209 * * [simplify]: Extracting #0: cost 1 inf + 0 557.210 * * [simplify]: Extracting #1: cost 81 inf + 0 557.211 * * [simplify]: Extracting #2: cost 166 inf + 1 557.212 * * [simplify]: Extracting #3: cost 191 inf + 1 557.214 * * [simplify]: Extracting #4: cost 231 inf + 4150 557.217 * * [simplify]: Extracting #5: cost 186 inf + 23120 557.223 * * [simplify]: Extracting #6: cost 120 inf + 39782 557.237 * * [simplify]: Extracting #7: cost 27 inf + 88932 557.267 * * [simplify]: Extracting #8: cost 0 inf + 97456 557.286 * * [simplify]: Extracting #9: cost 0 inf + 94705 557.308 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 557.308 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 557.309 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 557.309 * * [simplify]: iters left: 6 (18 enodes) 557.318 * * [simplify]: iters left: 5 (64 enodes) 557.338 * * [simplify]: iters left: 4 (90 enodes) 557.365 * * [simplify]: iters left: 3 (127 enodes) 557.404 * * [simplify]: iters left: 2 (187 enodes) 557.437 * * [simplify]: iters left: 1 (289 enodes) 557.500 * * [simplify]: Extracting #0: cost 1 inf + 0 557.500 * * [simplify]: Extracting #1: cost 22 inf + 0 557.500 * * [simplify]: Extracting #2: cost 45 inf + 0 557.501 * * [simplify]: Extracting #3: cost 71 inf + 0 557.501 * * [simplify]: Extracting #4: cost 106 inf + 62 557.501 * * [simplify]: Extracting #5: cost 87 inf + 2611 557.503 * * [simplify]: Extracting #6: cost 36 inf + 13765 557.509 * * [simplify]: Extracting #7: cost 4 inf + 21242 557.518 * * [simplify]: Extracting #8: cost 0 inf + 22032 557.528 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))) 557.528 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))))) 557.529 * * * * [progress]: [ 935 / 2703 ] simplifiying candidate # 557.529 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 557.530 * * [simplify]: iters left: 6 (25 enodes) 557.542 * * [simplify]: iters left: 5 (98 enodes) 557.561 * * [simplify]: iters left: 4 (178 enodes) 557.614 * * [simplify]: iters left: 3 (434 enodes) 557.805 * * [simplify]: Extracting #0: cost 1 inf + 0 557.805 * * [simplify]: Extracting #1: cost 116 inf + 0 557.807 * * [simplify]: Extracting #2: cost 284 inf + 0 557.808 * * [simplify]: Extracting #3: cost 311 inf + 0 557.810 * * [simplify]: Extracting #4: cost 350 inf + 4151 557.814 * * [simplify]: Extracting #5: cost 288 inf + 25012 557.838 * * [simplify]: Extracting #6: cost 122 inf + 102985 557.907 * * [simplify]: Extracting #7: cost 4 inf + 180781 557.986 * * [simplify]: Extracting #8: cost 0 inf + 183997 558.036 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 558.036 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 558.037 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 558.037 * * [simplify]: iters left: 6 (19 enodes) 558.045 * * [simplify]: iters left: 5 (67 enodes) 558.065 * * [simplify]: iters left: 4 (93 enodes) 558.095 * * [simplify]: iters left: 3 (130 enodes) 558.115 * * [simplify]: iters left: 2 (190 enodes) 558.146 * * [simplify]: iters left: 1 (292 enodes) 558.209 * * [simplify]: Extracting #0: cost 1 inf + 0 558.209 * * [simplify]: Extracting #1: cost 22 inf + 0 558.210 * * [simplify]: Extracting #2: cost 45 inf + 0 558.210 * * [simplify]: Extracting #3: cost 72 inf + 0 558.210 * * [simplify]: Extracting #4: cost 107 inf + 62 558.211 * * [simplify]: Extracting #5: cost 89 inf + 2690 558.213 * * [simplify]: Extracting #6: cost 42 inf + 13093 558.217 * * [simplify]: Extracting #7: cost 4 inf + 22123 558.221 * * [simplify]: Extracting #8: cost 0 inf + 23074 558.229 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) 558.229 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))))) 558.230 * * * * [progress]: [ 936 / 2703 ] simplifiying candidate # 558.230 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 558.230 * * [simplify]: iters left: 6 (23 enodes) 558.243 * * [simplify]: iters left: 5 (92 enodes) 558.275 * * [simplify]: iters left: 4 (167 enodes) 558.310 * * [simplify]: iters left: 3 (371 enodes) 558.461 * * [simplify]: Extracting #0: cost 1 inf + 0 558.461 * * [simplify]: Extracting #1: cost 80 inf + 0 558.462 * * [simplify]: Extracting #2: cost 167 inf + 1 558.464 * * [simplify]: Extracting #3: cost 192 inf + 1 558.466 * * [simplify]: Extracting #4: cost 229 inf + 4072 558.471 * * [simplify]: Extracting #5: cost 184 inf + 24828 558.477 * * [simplify]: Extracting #6: cost 136 inf + 39142 558.492 * * [simplify]: Extracting #7: cost 24 inf + 90483 558.520 * * [simplify]: Extracting #8: cost 0 inf + 97405 558.546 * * [simplify]: Extracting #9: cost 0 inf + 95047 558.573 * [simplify]: Simplified to (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 558.573 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 558.574 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 558.574 * * [simplify]: iters left: 6 (18 enodes) 558.583 * * [simplify]: iters left: 5 (64 enodes) 558.599 * * [simplify]: iters left: 4 (90 enodes) 558.613 * * [simplify]: iters left: 3 (127 enodes) 558.645 * * [simplify]: iters left: 2 (187 enodes) 558.681 * * [simplify]: iters left: 1 (289 enodes) 558.744 * * [simplify]: Extracting #0: cost 1 inf + 0 558.744 * * [simplify]: Extracting #1: cost 22 inf + 0 558.744 * * [simplify]: Extracting #2: cost 45 inf + 0 558.744 * * [simplify]: Extracting #3: cost 71 inf + 0 558.745 * * [simplify]: Extracting #4: cost 106 inf + 62 558.746 * * [simplify]: Extracting #5: cost 87 inf + 2611 558.750 * * [simplify]: Extracting #6: cost 36 inf + 13765 558.758 * * [simplify]: Extracting #7: cost 4 inf + 21242 558.766 * * [simplify]: Extracting #8: cost 0 inf + 22032 558.775 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))) 558.775 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))))) 558.775 * * * * [progress]: [ 937 / 2703 ] simplifiying candidate # 558.775 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 558.776 * * [simplify]: iters left: 6 (26 enodes) 558.790 * * [simplify]: iters left: 5 (105 enodes) 558.821 * * [simplify]: iters left: 4 (193 enodes) 558.881 * * [simplify]: Extracting #0: cost 1 inf + 0 558.882 * * [simplify]: Extracting #1: cost 50 inf + 0 558.882 * * [simplify]: Extracting #2: cost 143 inf + 1 558.883 * * [simplify]: Extracting #3: cost 179 inf + 1 558.885 * * [simplify]: Extracting #4: cost 185 inf + 1617 558.888 * * [simplify]: Extracting #5: cost 153 inf + 12746 558.899 * * [simplify]: Extracting #6: cost 88 inf + 33876 558.924 * * [simplify]: Extracting #7: cost 25 inf + 67633 558.954 * * [simplify]: Extracting #8: cost 0 inf + 83034 558.982 * [simplify]: Simplified to (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 558.982 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 558.982 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 558.982 * * [simplify]: iters left: 6 (18 enodes) 558.989 * * [simplify]: iters left: 5 (64 enodes) 558.999 * * [simplify]: iters left: 4 (90 enodes) 559.013 * * [simplify]: iters left: 3 (127 enodes) 559.051 * * [simplify]: iters left: 2 (187 enodes) 559.113 * * [simplify]: iters left: 1 (289 enodes) 559.205 * * [simplify]: Extracting #0: cost 1 inf + 0 559.205 * * [simplify]: Extracting #1: cost 22 inf + 0 559.206 * * [simplify]: Extracting #2: cost 45 inf + 0 559.206 * * [simplify]: Extracting #3: cost 72 inf + 0 559.207 * * [simplify]: Extracting #4: cost 101 inf + 387 559.208 * * [simplify]: Extracting #5: cost 88 inf + 2410 559.212 * * [simplify]: Extracting #6: cost 34 inf + 14673 559.220 * * [simplify]: Extracting #7: cost 3 inf + 22828 559.230 * * [simplify]: Extracting #8: cost 0 inf + 22954 559.241 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 559.241 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 559.241 * * * * [progress]: [ 938 / 2703 ] simplifiying candidate # 559.242 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 559.242 * * [simplify]: iters left: 6 (26 enodes) 559.257 * * [simplify]: iters left: 5 (104 enodes) 559.293 * * [simplify]: iters left: 4 (181 enodes) 559.365 * * [simplify]: iters left: 3 (414 enodes) 559.559 * * [simplify]: Extracting #0: cost 1 inf + 0 559.560 * * [simplify]: Extracting #1: cost 114 inf + 0 559.561 * * [simplify]: Extracting #2: cost 218 inf + 1 559.563 * * [simplify]: Extracting #3: cost 242 inf + 1 559.566 * * [simplify]: Extracting #4: cost 282 inf + 4455 559.573 * * [simplify]: Extracting #5: cost 251 inf + 16470 559.586 * * [simplify]: Extracting #6: cost 145 inf + 46489 559.609 * * [simplify]: Extracting #7: cost 27 inf + 115079 559.659 * * [simplify]: Extracting #8: cost 0 inf + 131937 559.690 * [simplify]: Simplified to (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 559.690 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 559.691 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 559.691 * * [simplify]: iters left: 6 (18 enodes) 559.699 * * [simplify]: iters left: 5 (64 enodes) 559.719 * * [simplify]: iters left: 4 (90 enodes) 559.736 * * [simplify]: iters left: 3 (127 enodes) 559.756 * * [simplify]: iters left: 2 (187 enodes) 559.795 * * [simplify]: iters left: 1 (289 enodes) 559.854 * * [simplify]: Extracting #0: cost 1 inf + 0 559.854 * * [simplify]: Extracting #1: cost 22 inf + 0 559.854 * * [simplify]: Extracting #2: cost 45 inf + 0 559.854 * * [simplify]: Extracting #3: cost 72 inf + 0 559.855 * * [simplify]: Extracting #4: cost 101 inf + 387 559.856 * * [simplify]: Extracting #5: cost 88 inf + 2410 559.860 * * [simplify]: Extracting #6: cost 34 inf + 14713 559.868 * * [simplify]: Extracting #7: cost 3 inf + 22908 559.875 * * [simplify]: Extracting #8: cost 0 inf + 23034 559.880 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 559.880 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 559.880 * * * * [progress]: [ 939 / 2703 ] simplifiying candidate # 559.881 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 559.881 * * [simplify]: iters left: 6 (25 enodes) 559.889 * * [simplify]: iters left: 5 (100 enodes) 559.906 * * [simplify]: iters left: 4 (175 enodes) 559.957 * * [simplify]: iters left: 3 (395 enodes) 560.179 * * [simplify]: Extracting #0: cost 1 inf + 0 560.180 * * [simplify]: Extracting #1: cost 114 inf + 0 560.181 * * [simplify]: Extracting #2: cost 214 inf + 1 560.182 * * [simplify]: Extracting #3: cost 237 inf + 1 560.183 * * [simplify]: Extracting #4: cost 276 inf + 4695 560.185 * * [simplify]: Extracting #5: cost 261 inf + 11490 560.188 * * [simplify]: Extracting #6: cost 229 inf + 14703 560.193 * * [simplify]: Extracting #7: cost 170 inf + 28715 560.214 * * [simplify]: Extracting #8: cost 70 inf + 80672 560.250 * * [simplify]: Extracting #9: cost 1 inf + 123790 560.279 * * [simplify]: Extracting #10: cost 0 inf + 124214 560.313 * [simplify]: Simplified to (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 560.313 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 560.313 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 560.314 * * [simplify]: iters left: 6 (18 enodes) 560.322 * * [simplify]: iters left: 5 (64 enodes) 560.332 * * [simplify]: iters left: 4 (90 enodes) 560.346 * * [simplify]: iters left: 3 (127 enodes) 560.380 * * [simplify]: iters left: 2 (187 enodes) 560.435 * * [simplify]: iters left: 1 (289 enodes) 560.503 * * [simplify]: Extracting #0: cost 1 inf + 0 560.503 * * [simplify]: Extracting #1: cost 22 inf + 0 560.503 * * [simplify]: Extracting #2: cost 45 inf + 0 560.504 * * [simplify]: Extracting #3: cost 72 inf + 0 560.504 * * [simplify]: Extracting #4: cost 101 inf + 387 560.505 * * [simplify]: Extracting #5: cost 88 inf + 2410 560.508 * * [simplify]: Extracting #6: cost 34 inf + 14313 560.512 * * [simplify]: Extracting #7: cost 3 inf + 21948 560.516 * * [simplify]: Extracting #8: cost 0 inf + 22074 560.521 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 560.521 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 560.521 * * * * [progress]: [ 940 / 2703 ] simplifiying candidate # 560.521 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt 1) (sqrt 1))) 560.521 * * [simplify]: iters left: 6 (23 enodes) 560.530 * * [simplify]: iters left: 5 (94 enodes) 560.554 * * [simplify]: iters left: 4 (163 enodes) 560.612 * * [simplify]: iters left: 3 (317 enodes) 560.724 * * [simplify]: Extracting #0: cost 1 inf + 0 560.725 * * [simplify]: Extracting #1: cost 58 inf + 0 560.725 * * [simplify]: Extracting #2: cost 100 inf + 1 560.725 * * [simplify]: Extracting #3: cost 122 inf + 1 560.726 * * [simplify]: Extracting #4: cost 170 inf + 1697 560.728 * * [simplify]: Extracting #5: cost 140 inf + 12904 560.736 * * [simplify]: Extracting #6: cost 34 inf + 40665 560.748 * * [simplify]: Extracting #7: cost 0 inf + 52051 560.762 * * [simplify]: Extracting #8: cost 0 inf + 52011 560.784 * [simplify]: Simplified to (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 560.784 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 560.784 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 560.784 * * [simplify]: iters left: 6 (17 enodes) 560.793 * * [simplify]: iters left: 5 (61 enodes) 560.812 * * [simplify]: iters left: 4 (87 enodes) 560.833 * * [simplify]: iters left: 3 (124 enodes) 560.852 * * [simplify]: iters left: 2 (184 enodes) 560.903 * * [simplify]: iters left: 1 (286 enodes) 560.987 * * [simplify]: Extracting #0: cost 1 inf + 0 560.987 * * [simplify]: Extracting #1: cost 21 inf + 0 560.987 * * [simplify]: Extracting #2: cost 44 inf + 0 560.987 * * [simplify]: Extracting #3: cost 71 inf + 0 560.988 * * [simplify]: Extracting #4: cost 98 inf + 387 560.989 * * [simplify]: Extracting #5: cost 88 inf + 1985 560.992 * * [simplify]: Extracting #6: cost 48 inf + 10434 560.999 * * [simplify]: Extracting #7: cost 5 inf + 19295 561.007 * * [simplify]: Extracting #8: cost 0 inf + 20206 561.015 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 561.016 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 561.016 * * * * [progress]: [ 941 / 2703 ] simplifiying candidate # 561.016 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 561.017 * * [simplify]: iters left: 6 (25 enodes) 561.031 * * [simplify]: iters left: 5 (100 enodes) 561.064 * * [simplify]: iters left: 4 (175 enodes) 561.136 * * [simplify]: iters left: 3 (395 enodes) 561.296 * * [simplify]: Extracting #0: cost 1 inf + 0 561.296 * * [simplify]: Extracting #1: cost 114 inf + 0 561.297 * * [simplify]: Extracting #2: cost 214 inf + 1 561.298 * * [simplify]: Extracting #3: cost 237 inf + 1 561.299 * * [simplify]: Extracting #4: cost 276 inf + 4695 561.301 * * [simplify]: Extracting #5: cost 261 inf + 11490 561.304 * * [simplify]: Extracting #6: cost 229 inf + 14703 561.309 * * [simplify]: Extracting #7: cost 170 inf + 28715 561.332 * * [simplify]: Extracting #8: cost 70 inf + 80672 561.383 * * [simplify]: Extracting #9: cost 1 inf + 123790 561.432 * * [simplify]: Extracting #10: cost 0 inf + 124214 561.461 * [simplify]: Simplified to (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 561.461 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 561.461 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 561.462 * * [simplify]: iters left: 6 (18 enodes) 561.470 * * [simplify]: iters left: 5 (64 enodes) 561.480 * * [simplify]: iters left: 4 (90 enodes) 561.494 * * [simplify]: iters left: 3 (127 enodes) 561.528 * * [simplify]: iters left: 2 (187 enodes) 561.565 * * [simplify]: iters left: 1 (289 enodes) 561.646 * * [simplify]: Extracting #0: cost 1 inf + 0 561.646 * * [simplify]: Extracting #1: cost 22 inf + 0 561.646 * * [simplify]: Extracting #2: cost 45 inf + 0 561.646 * * [simplify]: Extracting #3: cost 72 inf + 0 561.647 * * [simplify]: Extracting #4: cost 101 inf + 387 561.648 * * [simplify]: Extracting #5: cost 88 inf + 2410 561.652 * * [simplify]: Extracting #6: cost 34 inf + 14313 561.660 * * [simplify]: Extracting #7: cost 3 inf + 21948 561.668 * * [simplify]: Extracting #8: cost 0 inf + 22074 561.677 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 561.677 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 561.677 * * * * [progress]: [ 942 / 2703 ] simplifiying candidate # 561.678 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt 1) 1)) 561.678 * * [simplify]: iters left: 6 (22 enodes) 561.691 * * [simplify]: iters left: 5 (89 enodes) 561.710 * * [simplify]: iters left: 4 (153 enodes) 561.749 * * [simplify]: iters left: 3 (309 enodes) 561.856 * * [simplify]: Extracting #0: cost 1 inf + 0 561.856 * * [simplify]: Extracting #1: cost 53 inf + 0 561.857 * * [simplify]: Extracting #2: cost 88 inf + 1 561.858 * * [simplify]: Extracting #3: cost 110 inf + 1 561.859 * * [simplify]: Extracting #4: cost 155 inf + 2443 561.860 * * [simplify]: Extracting #5: cost 136 inf + 8917 561.863 * * [simplify]: Extracting #6: cost 74 inf + 22269 561.872 * * [simplify]: Extracting #7: cost 10 inf + 43582 561.883 * * [simplify]: Extracting #8: cost 0 inf + 47109 561.903 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 561.903 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 561.904 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 561.904 * * [simplify]: iters left: 6 (17 enodes) 561.908 * * [simplify]: iters left: 5 (61 enodes) 561.918 * * [simplify]: iters left: 4 (87 enodes) 561.932 * * [simplify]: iters left: 3 (124 enodes) 561.963 * * [simplify]: iters left: 2 (184 enodes) 561.995 * * [simplify]: iters left: 1 (286 enodes) 562.060 * * [simplify]: Extracting #0: cost 1 inf + 0 562.060 * * [simplify]: Extracting #1: cost 21 inf + 0 562.060 * * [simplify]: Extracting #2: cost 44 inf + 0 562.061 * * [simplify]: Extracting #3: cost 71 inf + 0 562.061 * * [simplify]: Extracting #4: cost 98 inf + 387 562.061 * * [simplify]: Extracting #5: cost 88 inf + 1985 562.063 * * [simplify]: Extracting #6: cost 48 inf + 10434 562.066 * * [simplify]: Extracting #7: cost 5 inf + 19295 562.071 * * [simplify]: Extracting #8: cost 0 inf + 20206 562.082 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 562.082 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 562.082 * * * * [progress]: [ 943 / 2703 ] simplifiying candidate # 562.083 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 562.083 * * [simplify]: iters left: 6 (26 enodes) 562.097 * * [simplify]: iters left: 5 (107 enodes) 562.131 * * [simplify]: iters left: 4 (223 enodes) 562.214 * * [simplify]: Extracting #0: cost 1 inf + 0 562.214 * * [simplify]: Extracting #1: cost 86 inf + 0 562.215 * * [simplify]: Extracting #2: cost 219 inf + 0 562.217 * * [simplify]: Extracting #3: cost 255 inf + 0 562.218 * * [simplify]: Extracting #4: cost 268 inf + 526 562.223 * * [simplify]: Extracting #5: cost 229 inf + 13684 562.236 * * [simplify]: Extracting #6: cost 155 inf + 41068 562.269 * * [simplify]: Extracting #7: cost 63 inf + 99313 562.310 * * [simplify]: Extracting #8: cost 0 inf + 144549 562.348 * * [simplify]: Extracting #9: cost 0 inf + 144069 562.382 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 562.382 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 562.383 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 562.383 * * [simplify]: iters left: 6 (19 enodes) 562.387 * * [simplify]: iters left: 5 (67 enodes) 562.405 * * [simplify]: iters left: 4 (93 enodes) 562.432 * * [simplify]: iters left: 3 (130 enodes) 562.466 * * [simplify]: iters left: 2 (190 enodes) 562.506 * * [simplify]: iters left: 1 (292 enodes) 562.574 * * [simplify]: Extracting #0: cost 1 inf + 0 562.574 * * [simplify]: Extracting #1: cost 22 inf + 0 562.574 * * [simplify]: Extracting #2: cost 45 inf + 0 562.574 * * [simplify]: Extracting #3: cost 72 inf + 0 562.575 * * [simplify]: Extracting #4: cost 107 inf + 62 562.576 * * [simplify]: Extracting #5: cost 89 inf + 2930 562.579 * * [simplify]: Extracting #6: cost 42 inf + 14133 562.583 * * [simplify]: Extracting #7: cost 4 inf + 23923 562.588 * * [simplify]: Extracting #8: cost 0 inf + 25034 562.592 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 562.592 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))))) 562.592 * * * * [progress]: [ 944 / 2703 ] simplifiying candidate # 562.593 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 562.593 * * [simplify]: iters left: 6 (26 enodes) 562.599 * * [simplify]: iters left: 5 (104 enodes) 562.627 * * [simplify]: iters left: 4 (196 enodes) 562.703 * * [simplify]: Extracting #0: cost 1 inf + 0 562.704 * * [simplify]: Extracting #1: cost 69 inf + 0 562.704 * * [simplify]: Extracting #2: cost 168 inf + 0 562.705 * * [simplify]: Extracting #3: cost 201 inf + 0 562.705 * * [simplify]: Extracting #4: cost 202 inf + 3404 562.707 * * [simplify]: Extracting #5: cost 168 inf + 14237 562.713 * * [simplify]: Extracting #6: cost 92 inf + 45531 562.738 * * [simplify]: Extracting #7: cost 15 inf + 95833 562.775 * * [simplify]: Extracting #8: cost 0 inf + 104663 562.807 * [simplify]: Simplified to (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 562.807 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 562.808 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 562.808 * * [simplify]: iters left: 6 (19 enodes) 562.815 * * [simplify]: iters left: 5 (67 enodes) 562.825 * * [simplify]: iters left: 4 (93 enodes) 562.848 * * [simplify]: iters left: 3 (130 enodes) 562.875 * * [simplify]: iters left: 2 (190 enodes) 562.917 * * [simplify]: iters left: 1 (292 enodes) 562.972 * * [simplify]: Extracting #0: cost 1 inf + 0 562.973 * * [simplify]: Extracting #1: cost 22 inf + 0 562.973 * * [simplify]: Extracting #2: cost 45 inf + 0 562.973 * * [simplify]: Extracting #3: cost 72 inf + 0 562.973 * * [simplify]: Extracting #4: cost 107 inf + 62 562.974 * * [simplify]: Extracting #5: cost 89 inf + 2930 562.976 * * [simplify]: Extracting #6: cost 42 inf + 14173 562.980 * * [simplify]: Extracting #7: cost 4 inf + 24003 562.985 * * [simplify]: Extracting #8: cost 0 inf + 25114 562.991 * [simplify]: Simplified to (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 562.991 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))))) 562.992 * * * * [progress]: [ 945 / 2703 ] simplifiying candidate # 562.992 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 562.992 * * [simplify]: iters left: 6 (25 enodes) 562.999 * * [simplify]: iters left: 5 (100 enodes) 563.016 * * [simplify]: iters left: 4 (192 enodes) 563.087 * * [simplify]: Extracting #0: cost 1 inf + 0 563.087 * * [simplify]: Extracting #1: cost 69 inf + 0 563.087 * * [simplify]: Extracting #2: cost 167 inf + 0 563.088 * * [simplify]: Extracting #3: cost 199 inf + 0 563.089 * * [simplify]: Extracting #4: cost 201 inf + 3222 563.093 * * [simplify]: Extracting #5: cost 163 inf + 17743 563.100 * * [simplify]: Extracting #6: cost 85 inf + 51168 563.115 * * [simplify]: Extracting #7: cost 15 inf + 91441 563.133 * * [simplify]: Extracting #8: cost 0 inf + 99699 563.151 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) 563.151 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 563.152 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 563.152 * * [simplify]: iters left: 6 (19 enodes) 563.156 * * [simplify]: iters left: 5 (67 enodes) 563.167 * * [simplify]: iters left: 4 (93 enodes) 563.195 * * [simplify]: iters left: 3 (130 enodes) 563.219 * * [simplify]: iters left: 2 (190 enodes) 563.249 * * [simplify]: iters left: 1 (292 enodes) 563.326 * * [simplify]: Extracting #0: cost 1 inf + 0 563.326 * * [simplify]: Extracting #1: cost 22 inf + 0 563.326 * * [simplify]: Extracting #2: cost 45 inf + 0 563.327 * * [simplify]: Extracting #3: cost 72 inf + 0 563.327 * * [simplify]: Extracting #4: cost 107 inf + 62 563.329 * * [simplify]: Extracting #5: cost 89 inf + 2930 563.333 * * [simplify]: Extracting #6: cost 42 inf + 13773 563.341 * * [simplify]: Extracting #7: cost 4 inf + 23123 563.350 * * [simplify]: Extracting #8: cost 0 inf + 24154 563.359 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 563.359 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))))) 563.359 * * * * [progress]: [ 946 / 2703 ] simplifiying candidate # 563.360 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 563.360 * * [simplify]: iters left: 6 (24 enodes) 563.374 * * [simplify]: iters left: 5 (99 enodes) 563.404 * * [simplify]: iters left: 4 (184 enodes) 563.453 * * [simplify]: iters left: 3 (471 enodes) 563.732 * * [simplify]: Extracting #0: cost 1 inf + 0 563.733 * * [simplify]: Extracting #1: cost 145 inf + 0 563.735 * * [simplify]: Extracting #2: cost 309 inf + 1 563.738 * * [simplify]: Extracting #3: cost 334 inf + 1 563.743 * * [simplify]: Extracting #4: cost 370 inf + 5378 563.764 * * [simplify]: Extracting #5: cost 245 inf + 67660 563.820 * * [simplify]: Extracting #6: cost 47 inf + 172886 563.862 * * [simplify]: Extracting #7: cost 1 inf + 175789 563.928 * * [simplify]: Extracting #8: cost 0 inf + 174208 563.986 * [simplify]: Simplified to (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 563.986 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 563.987 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 563.987 * * [simplify]: iters left: 6 (18 enodes) 563.996 * * [simplify]: iters left: 5 (64 enodes) 564.016 * * [simplify]: iters left: 4 (90 enodes) 564.043 * * [simplify]: iters left: 3 (127 enodes) 564.071 * * [simplify]: iters left: 2 (187 enodes) 564.116 * * [simplify]: iters left: 1 (289 enodes) 564.178 * * [simplify]: Extracting #0: cost 1 inf + 0 564.178 * * [simplify]: Extracting #1: cost 22 inf + 0 564.179 * * [simplify]: Extracting #2: cost 45 inf + 0 564.179 * * [simplify]: Extracting #3: cost 71 inf + 0 564.179 * * [simplify]: Extracting #4: cost 106 inf + 62 564.180 * * [simplify]: Extracting #5: cost 87 inf + 2851 564.185 * * [simplify]: Extracting #6: cost 36 inf + 14485 564.193 * * [simplify]: Extracting #7: cost 4 inf + 22282 564.202 * * [simplify]: Extracting #8: cost 0 inf + 23112 564.211 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))))) 564.211 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))))))) 564.211 * * * * [progress]: [ 947 / 2703 ] simplifiying candidate # 564.212 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 564.212 * * [simplify]: iters left: 6 (25 enodes) 564.225 * * [simplify]: iters left: 5 (100 enodes) 564.259 * * [simplify]: iters left: 4 (192 enodes) 564.343 * * [simplify]: Extracting #0: cost 1 inf + 0 564.343 * * [simplify]: Extracting #1: cost 69 inf + 0 564.344 * * [simplify]: Extracting #2: cost 167 inf + 0 564.346 * * [simplify]: Extracting #3: cost 199 inf + 0 564.347 * * [simplify]: Extracting #4: cost 201 inf + 3222 564.352 * * [simplify]: Extracting #5: cost 163 inf + 17743 564.364 * * [simplify]: Extracting #6: cost 85 inf + 51168 564.395 * * [simplify]: Extracting #7: cost 15 inf + 91441 564.433 * * [simplify]: Extracting #8: cost 0 inf + 99699 564.457 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) 564.457 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 564.457 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 564.458 * * [simplify]: iters left: 6 (19 enodes) 564.462 * * [simplify]: iters left: 5 (67 enodes) 564.476 * * [simplify]: iters left: 4 (93 enodes) 564.497 * * [simplify]: iters left: 3 (130 enodes) 564.516 * * [simplify]: iters left: 2 (190 enodes) 564.565 * * [simplify]: iters left: 1 (292 enodes) 564.628 * * [simplify]: Extracting #0: cost 1 inf + 0 564.628 * * [simplify]: Extracting #1: cost 22 inf + 0 564.628 * * [simplify]: Extracting #2: cost 45 inf + 0 564.628 * * [simplify]: Extracting #3: cost 72 inf + 0 564.629 * * [simplify]: Extracting #4: cost 107 inf + 62 564.629 * * [simplify]: Extracting #5: cost 89 inf + 2930 564.631 * * [simplify]: Extracting #6: cost 42 inf + 13773 564.635 * * [simplify]: Extracting #7: cost 4 inf + 23123 564.640 * * [simplify]: Extracting #8: cost 0 inf + 24154 564.645 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) 564.645 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))))) 564.645 * * * * [progress]: [ 948 / 2703 ] simplifiying candidate # 564.645 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 564.645 * * [simplify]: iters left: 6 (23 enodes) 564.651 * * [simplify]: iters left: 5 (94 enodes) 564.671 * * [simplify]: iters left: 4 (187 enodes) 564.751 * * [simplify]: iters left: 3 (492 enodes) 565.059 * * [simplify]: Extracting #0: cost 1 inf + 0 565.059 * * [simplify]: Extracting #1: cost 132 inf + 0 565.060 * * [simplify]: Extracting #2: cost 306 inf + 1 565.061 * * [simplify]: Extracting #3: cost 334 inf + 1 565.068 * * [simplify]: Extracting #4: cost 365 inf + 7547 565.074 * * [simplify]: Extracting #5: cost 261 inf + 46149 565.091 * * [simplify]: Extracting #6: cost 114 inf + 108903 565.139 * * [simplify]: Extracting #7: cost 13 inf + 165302 565.181 * * [simplify]: Extracting #8: cost 0 inf + 172942 565.218 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt (* (+ (* a2 a2) (* a1 a1)) (- (* a1 a1) (* a2 a2))))) 565.219 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt (* (+ (* a2 a2) (* a1 a1)) (- (* a1 a1) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 565.219 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 565.219 * * [simplify]: iters left: 6 (18 enodes) 565.224 * * [simplify]: iters left: 5 (64 enodes) 565.241 * * [simplify]: iters left: 4 (90 enodes) 565.262 * * [simplify]: iters left: 3 (127 enodes) 565.283 * * [simplify]: iters left: 2 (187 enodes) 565.319 * * [simplify]: iters left: 1 (289 enodes) 565.387 * * [simplify]: Extracting #0: cost 1 inf + 0 565.387 * * [simplify]: Extracting #1: cost 22 inf + 0 565.387 * * [simplify]: Extracting #2: cost 45 inf + 0 565.387 * * [simplify]: Extracting #3: cost 71 inf + 0 565.388 * * [simplify]: Extracting #4: cost 106 inf + 62 565.389 * * [simplify]: Extracting #5: cost 87 inf + 2851 565.393 * * [simplify]: Extracting #6: cost 36 inf + 14485 565.398 * * [simplify]: Extracting #7: cost 4 inf + 22282 565.402 * * [simplify]: Extracting #8: cost 0 inf + 23112 565.407 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))))) 565.407 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt (* (+ (* a2 a2) (* a1 a1)) (- (* a1 a1) (* a2 a2))))) (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cbrt (sqrt 2)))))))) 565.407 * * * * [progress]: [ 949 / 2703 ] simplifiying candidate # 565.408 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 565.408 * * [simplify]: iters left: 6 (25 enodes) 565.414 * * [simplify]: iters left: 5 (100 enodes) 565.435 * * [simplify]: iters left: 4 (188 enodes) 565.493 * * [simplify]: iters left: 3 (496 enodes) 565.749 * * [simplify]: Extracting #0: cost 1 inf + 0 565.750 * * [simplify]: Extracting #1: cost 153 inf + 0 565.753 * * [simplify]: Extracting #2: cost 407 inf + 0 565.756 * * [simplify]: Extracting #3: cost 435 inf + 0 565.762 * * [simplify]: Extracting #4: cost 456 inf + 11065 565.775 * * [simplify]: Extracting #5: cost 372 inf + 46342 565.805 * * [simplify]: Extracting #6: cost 162 inf + 158891 565.868 * * [simplify]: Extracting #7: cost 18 inf + 259838 565.939 * * [simplify]: Extracting #8: cost 0 inf + 271428 566.026 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 566.027 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 566.027 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 566.028 * * [simplify]: iters left: 6 (19 enodes) 566.038 * * [simplify]: iters left: 5 (67 enodes) 566.059 * * [simplify]: iters left: 4 (93 enodes) 566.087 * * [simplify]: iters left: 3 (130 enodes) 566.126 * * [simplify]: iters left: 2 (190 enodes) 566.177 * * [simplify]: iters left: 1 (292 enodes) 566.247 * * [simplify]: Extracting #0: cost 1 inf + 0 566.247 * * [simplify]: Extracting #1: cost 22 inf + 0 566.247 * * [simplify]: Extracting #2: cost 45 inf + 0 566.247 * * [simplify]: Extracting #3: cost 72 inf + 0 566.248 * * [simplify]: Extracting #4: cost 107 inf + 62 566.249 * * [simplify]: Extracting #5: cost 89 inf + 2730 566.253 * * [simplify]: Extracting #6: cost 42 inf + 13533 566.260 * * [simplify]: Extracting #7: cost 4 inf + 23003 566.264 * * [simplify]: Extracting #8: cost 0 inf + 24034 566.270 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) 566.271 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))))) 566.271 * * * * [progress]: [ 950 / 2703 ] simplifiying candidate # 566.271 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 566.271 * * [simplify]: iters left: 6 (25 enodes) 566.278 * * [simplify]: iters left: 5 (99 enodes) 566.302 * * [simplify]: iters left: 4 (179 enodes) 566.370 * * [simplify]: iters left: 3 (435 enodes) 566.576 * * [simplify]: Extracting #0: cost 1 inf + 0 566.576 * * [simplify]: Extracting #1: cost 118 inf + 0 566.578 * * [simplify]: Extracting #2: cost 285 inf + 0 566.580 * * [simplify]: Extracting #3: cost 312 inf + 0 566.584 * * [simplify]: Extracting #4: cost 353 inf + 4068 566.590 * * [simplify]: Extracting #5: cost 314 inf + 18518 566.609 * * [simplify]: Extracting #6: cost 188 inf + 63750 566.669 * * [simplify]: Extracting #7: cost 28 inf + 162602 566.723 * * [simplify]: Extracting #8: cost 0 inf + 181303 566.768 * [simplify]: Simplified to (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 566.768 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 566.769 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 566.769 * * [simplify]: iters left: 6 (19 enodes) 566.778 * * [simplify]: iters left: 5 (67 enodes) 566.799 * * [simplify]: iters left: 4 (93 enodes) 566.828 * * [simplify]: iters left: 3 (130 enodes) 566.871 * * [simplify]: iters left: 2 (190 enodes) 566.931 * * [simplify]: iters left: 1 (292 enodes) 566.995 * * [simplify]: Extracting #0: cost 1 inf + 0 566.995 * * [simplify]: Extracting #1: cost 22 inf + 0 566.995 * * [simplify]: Extracting #2: cost 45 inf + 0 566.995 * * [simplify]: Extracting #3: cost 72 inf + 0 566.995 * * [simplify]: Extracting #4: cost 107 inf + 62 566.996 * * [simplify]: Extracting #5: cost 89 inf + 2730 566.998 * * [simplify]: Extracting #6: cost 42 inf + 13573 567.005 * * [simplify]: Extracting #7: cost 4 inf + 23083 567.009 * * [simplify]: Extracting #8: cost 0 inf + 24114 567.014 * [simplify]: Simplified to (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) 567.014 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))))) 567.014 * * * * [progress]: [ 951 / 2703 ] simplifiying candidate # 567.014 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 567.014 * * [simplify]: iters left: 6 (24 enodes) 567.020 * * [simplify]: iters left: 5 (95 enodes) 567.037 * * [simplify]: iters left: 4 (175 enodes) 567.075 * * [simplify]: iters left: 3 (431 enodes) 567.264 * * [simplify]: Extracting #0: cost 1 inf + 0 567.264 * * [simplify]: Extracting #1: cost 121 inf + 0 567.266 * * [simplify]: Extracting #2: cost 287 inf + 0 567.269 * * [simplify]: Extracting #3: cost 313 inf + 0 567.273 * * [simplify]: Extracting #4: cost 366 inf + 628 567.278 * * [simplify]: Extracting #5: cost 319 inf + 11008 567.302 * * [simplify]: Extracting #6: cost 157 inf + 78182 567.354 * * [simplify]: Extracting #7: cost 16 inf + 164447 567.416 * * [simplify]: Extracting #8: cost 0 inf + 173411 567.488 * [simplify]: Simplified to (/ (* (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 567.488 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 567.489 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 567.489 * * [simplify]: iters left: 6 (19 enodes) 567.494 * * [simplify]: iters left: 5 (67 enodes) 567.505 * * [simplify]: iters left: 4 (93 enodes) 567.518 * * [simplify]: iters left: 3 (130 enodes) 567.553 * * [simplify]: iters left: 2 (190 enodes) 567.615 * * [simplify]: iters left: 1 (292 enodes) 567.681 * * [simplify]: Extracting #0: cost 1 inf + 0 567.681 * * [simplify]: Extracting #1: cost 22 inf + 0 567.681 * * [simplify]: Extracting #2: cost 45 inf + 0 567.681 * * [simplify]: Extracting #3: cost 72 inf + 0 567.682 * * [simplify]: Extracting #4: cost 107 inf + 62 567.683 * * [simplify]: Extracting #5: cost 89 inf + 2730 567.687 * * [simplify]: Extracting #6: cost 42 inf + 13173 567.695 * * [simplify]: Extracting #7: cost 4 inf + 22203 567.706 * * [simplify]: Extracting #8: cost 0 inf + 23154 567.715 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) 567.715 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))))) 567.716 * * * * [progress]: [ 952 / 2703 ] simplifiying candidate # 567.716 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 567.716 * * [simplify]: iters left: 6 (23 enodes) 567.730 * * [simplify]: iters left: 5 (94 enodes) 567.753 * * [simplify]: iters left: 4 (167 enodes) 567.794 * * [simplify]: iters left: 3 (363 enodes) 567.954 * * [simplify]: Extracting #0: cost 1 inf + 0 567.954 * * [simplify]: Extracting #1: cost 82 inf + 0 567.954 * * [simplify]: Extracting #2: cost 166 inf + 1 567.955 * * [simplify]: Extracting #3: cost 190 inf + 1 567.957 * * [simplify]: Extracting #4: cost 227 inf + 4154 567.960 * * [simplify]: Extracting #5: cost 173 inf + 26172 567.975 * * [simplify]: Extracting #6: cost 39 inf + 74323 568.005 * * [simplify]: Extracting #7: cost 7 inf + 87389 568.028 * * [simplify]: Extracting #8: cost 0 inf + 89525 568.055 * [simplify]: Simplified to (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 568.055 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 568.056 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 568.056 * * [simplify]: iters left: 6 (18 enodes) 568.065 * * [simplify]: iters left: 5 (64 enodes) 568.075 * * [simplify]: iters left: 4 (90 enodes) 568.089 * * [simplify]: iters left: 3 (127 enodes) 568.115 * * [simplify]: iters left: 2 (187 enodes) 568.164 * * [simplify]: iters left: 1 (289 enodes) 568.237 * * [simplify]: Extracting #0: cost 1 inf + 0 568.237 * * [simplify]: Extracting #1: cost 22 inf + 0 568.237 * * [simplify]: Extracting #2: cost 45 inf + 0 568.237 * * [simplify]: Extracting #3: cost 71 inf + 0 568.238 * * [simplify]: Extracting #4: cost 106 inf + 62 568.238 * * [simplify]: Extracting #5: cost 87 inf + 2691 568.240 * * [simplify]: Extracting #6: cost 36 inf + 13845 568.244 * * [simplify]: Extracting #7: cost 4 inf + 21322 568.249 * * [simplify]: Extracting #8: cost 0 inf + 22112 568.253 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))))) 568.253 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))))))) 568.253 * * * * [progress]: [ 953 / 2703 ] simplifiying candidate # 568.253 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 568.254 * * [simplify]: iters left: 6 (24 enodes) 568.260 * * [simplify]: iters left: 5 (95 enodes) 568.285 * * [simplify]: iters left: 4 (175 enodes) 568.328 * * [simplify]: iters left: 3 (431 enodes) 568.504 * * [simplify]: Extracting #0: cost 1 inf + 0 568.504 * * [simplify]: Extracting #1: cost 121 inf + 0 568.506 * * [simplify]: Extracting #2: cost 287 inf + 0 568.507 * * [simplify]: Extracting #3: cost 313 inf + 0 568.509 * * [simplify]: Extracting #4: cost 366 inf + 628 568.511 * * [simplify]: Extracting #5: cost 319 inf + 11008 568.528 * * [simplify]: Extracting #6: cost 157 inf + 78182 568.584 * * [simplify]: Extracting #7: cost 16 inf + 164447 568.641 * * [simplify]: Extracting #8: cost 0 inf + 173411 568.689 * [simplify]: Simplified to (/ (* (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 568.689 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 568.689 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 568.689 * * [simplify]: iters left: 6 (19 enodes) 568.698 * * [simplify]: iters left: 5 (67 enodes) 568.719 * * [simplify]: iters left: 4 (93 enodes) 568.746 * * [simplify]: iters left: 3 (130 enodes) 568.768 * * [simplify]: iters left: 2 (190 enodes) 568.808 * * [simplify]: iters left: 1 (292 enodes) 568.889 * * [simplify]: Extracting #0: cost 1 inf + 0 568.889 * * [simplify]: Extracting #1: cost 22 inf + 0 568.890 * * [simplify]: Extracting #2: cost 45 inf + 0 568.890 * * [simplify]: Extracting #3: cost 72 inf + 0 568.891 * * [simplify]: Extracting #4: cost 107 inf + 62 568.892 * * [simplify]: Extracting #5: cost 89 inf + 2730 568.896 * * [simplify]: Extracting #6: cost 42 inf + 13173 568.904 * * [simplify]: Extracting #7: cost 4 inf + 22203 568.915 * * [simplify]: Extracting #8: cost 0 inf + 23154 568.919 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) 568.919 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))))) 568.920 * * * * [progress]: [ 954 / 2703 ] simplifiying candidate # 568.920 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) 1)) 568.920 * * [simplify]: iters left: 6 (22 enodes) 568.926 * * [simplify]: iters left: 5 (89 enodes) 568.943 * * [simplify]: iters left: 4 (164 enodes) 568.989 * * [simplify]: iters left: 3 (368 enodes) 569.144 * * [simplify]: Extracting #0: cost 1 inf + 0 569.144 * * [simplify]: Extracting #1: cost 82 inf + 0 569.145 * * [simplify]: Extracting #2: cost 167 inf + 1 569.146 * * [simplify]: Extracting #3: cost 191 inf + 1 569.147 * * [simplify]: Extracting #4: cost 233 inf + 2845 569.150 * * [simplify]: Extracting #5: cost 191 inf + 19249 569.155 * * [simplify]: Extracting #6: cost 122 inf + 37285 569.187 * * [simplify]: Extracting #7: cost 15 inf + 81761 569.206 * * [simplify]: Extracting #8: cost 0 inf + 90027 569.233 * [simplify]: Simplified to (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) 569.233 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 569.233 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 569.234 * * [simplify]: iters left: 6 (18 enodes) 569.238 * * [simplify]: iters left: 5 (64 enodes) 569.248 * * [simplify]: iters left: 4 (90 enodes) 569.268 * * [simplify]: iters left: 3 (127 enodes) 569.290 * * [simplify]: iters left: 2 (187 enodes) 569.327 * * [simplify]: iters left: 1 (289 enodes) 569.397 * * [simplify]: Extracting #0: cost 1 inf + 0 569.397 * * [simplify]: Extracting #1: cost 22 inf + 0 569.397 * * [simplify]: Extracting #2: cost 45 inf + 0 569.397 * * [simplify]: Extracting #3: cost 71 inf + 0 569.398 * * [simplify]: Extracting #4: cost 106 inf + 62 569.398 * * [simplify]: Extracting #5: cost 87 inf + 2691 569.400 * * [simplify]: Extracting #6: cost 36 inf + 13845 569.404 * * [simplify]: Extracting #7: cost 4 inf + 21322 569.409 * * [simplify]: Extracting #8: cost 0 inf + 22112 569.413 * [simplify]: Simplified to (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))))) 569.413 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (sqrt (cbrt (sqrt 2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (/ (cbrt (cos th)) (/ (sqrt (- (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))))))) 569.414 * * * * [progress]: [ 955 / 2703 ] simplifiying candidate # 569.414 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 569.414 * * [simplify]: iters left: 6 (25 enodes) 569.422 * * [simplify]: iters left: 5 (102 enodes) 569.447 * * [simplify]: iters left: 4 (188 enodes) 569.502 * * [simplify]: iters left: 3 (486 enodes) 569.796 * * [simplify]: Extracting #0: cost 1 inf + 0 569.796 * * [simplify]: Extracting #1: cost 157 inf + 0 569.797 * * [simplify]: Extracting #2: cost 367 inf + 1 569.799 * * [simplify]: Extracting #3: cost 392 inf + 1 569.801 * * [simplify]: Extracting #4: cost 422 inf + 6935 569.812 * * [simplify]: Extracting #5: cost 362 inf + 29924 569.840 * * [simplify]: Extracting #6: cost 208 inf + 96231 569.890 * * [simplify]: Extracting #7: cost 19 inf + 217148 569.966 * * [simplify]: Extracting #8: cost 0 inf + 230188 570.033 * [simplify]: Simplified to (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 570.033 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 570.034 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 570.034 * * [simplify]: iters left: 6 (18 enodes) 570.043 * * [simplify]: iters left: 5 (64 enodes) 570.062 * * [simplify]: iters left: 4 (90 enodes) 570.089 * * [simplify]: iters left: 3 (127 enodes) 570.127 * * [simplify]: iters left: 2 (187 enodes) 570.169 * * [simplify]: iters left: 1 (289 enodes) 570.217 * * [simplify]: Extracting #0: cost 1 inf + 0 570.217 * * [simplify]: Extracting #1: cost 22 inf + 0 570.217 * * [simplify]: Extracting #2: cost 45 inf + 0 570.217 * * [simplify]: Extracting #3: cost 72 inf + 0 570.218 * * [simplify]: Extracting #4: cost 101 inf + 387 570.218 * * [simplify]: Extracting #5: cost 88 inf + 2410 570.220 * * [simplify]: Extracting #6: cost 34 inf + 14673 570.227 * * [simplify]: Extracting #7: cost 3 inf + 22828 570.235 * * [simplify]: Extracting #8: cost 0 inf + 22954 570.244 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 570.244 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 570.244 * * * * [progress]: [ 956 / 2703 ] simplifiying candidate # 570.245 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 570.245 * * [simplify]: iters left: 6 (25 enodes) 570.257 * * [simplify]: iters left: 5 (101 enodes) 570.291 * * [simplify]: iters left: 4 (179 enodes) 570.365 * * [simplify]: iters left: 3 (416 enodes) 570.560 * * [simplify]: Extracting #0: cost 1 inf + 0 570.560 * * [simplify]: Extracting #1: cost 113 inf + 0 570.561 * * [simplify]: Extracting #2: cost 221 inf + 1 570.562 * * [simplify]: Extracting #3: cost 245 inf + 1 570.564 * * [simplify]: Extracting #4: cost 278 inf + 6148 570.567 * * [simplify]: Extracting #5: cost 255 inf + 18950 570.574 * * [simplify]: Extracting #6: cost 181 inf + 49341 570.617 * * [simplify]: Extracting #7: cost 38 inf + 117614 570.669 * * [simplify]: Extracting #8: cost 0 inf + 132902 570.697 * [simplify]: Simplified to (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) 570.697 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 570.697 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 570.697 * * [simplify]: iters left: 6 (18 enodes) 570.706 * * [simplify]: iters left: 5 (64 enodes) 570.726 * * [simplify]: iters left: 4 (90 enodes) 570.755 * * [simplify]: iters left: 3 (127 enodes) 570.784 * * [simplify]: iters left: 2 (187 enodes) 570.817 * * [simplify]: iters left: 1 (289 enodes) 570.884 * * [simplify]: Extracting #0: cost 1 inf + 0 570.884 * * [simplify]: Extracting #1: cost 22 inf + 0 570.884 * * [simplify]: Extracting #2: cost 45 inf + 0 570.884 * * [simplify]: Extracting #3: cost 72 inf + 0 570.885 * * [simplify]: Extracting #4: cost 101 inf + 387 570.885 * * [simplify]: Extracting #5: cost 88 inf + 2410 570.887 * * [simplify]: Extracting #6: cost 34 inf + 14713 570.891 * * [simplify]: Extracting #7: cost 3 inf + 22908 570.896 * * [simplify]: Extracting #8: cost 0 inf + 23034 570.900 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))) 570.900 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))))) 570.901 * * * * [progress]: [ 957 / 2703 ] simplifiying candidate # 570.901 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 570.901 * * [simplify]: iters left: 6 (24 enodes) 570.909 * * [simplify]: iters left: 5 (97 enodes) 570.942 * * [simplify]: iters left: 4 (175 enodes) 570.987 * * [simplify]: iters left: 3 (412 enodes) 571.152 * * [simplify]: Extracting #0: cost 1 inf + 0 571.152 * * [simplify]: Extracting #1: cost 114 inf + 0 571.153 * * [simplify]: Extracting #2: cost 227 inf + 1 571.154 * * [simplify]: Extracting #3: cost 250 inf + 1 571.156 * * [simplify]: Extracting #4: cost 303 inf + 629 571.158 * * [simplify]: Extracting #5: cost 273 inf + 10171 571.181 * * [simplify]: Extracting #6: cost 143 inf + 51025 571.227 * * [simplify]: Extracting #7: cost 31 inf + 111733 571.282 * * [simplify]: Extracting #8: cost 0 inf + 131441 571.312 * [simplify]: Simplified to (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 571.312 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 571.313 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 571.313 * * [simplify]: iters left: 6 (18 enodes) 571.319 * * [simplify]: iters left: 5 (64 enodes) 571.336 * * [simplify]: iters left: 4 (90 enodes) 571.363 * * [simplify]: iters left: 3 (127 enodes) 571.403 * * [simplify]: iters left: 2 (187 enodes) 571.439 * * [simplify]: iters left: 1 (289 enodes) 571.518 * * [simplify]: Extracting #0: cost 1 inf + 0 571.518 * * [simplify]: Extracting #1: cost 22 inf + 0 571.519 * * [simplify]: Extracting #2: cost 45 inf + 0 571.519 * * [simplify]: Extracting #3: cost 72 inf + 0 571.520 * * [simplify]: Extracting #4: cost 101 inf + 387 571.521 * * [simplify]: Extracting #5: cost 88 inf + 2410 571.523 * * [simplify]: Extracting #6: cost 34 inf + 14313 571.528 * * [simplify]: Extracting #7: cost 3 inf + 21948 571.532 * * [simplify]: Extracting #8: cost 0 inf + 22074 571.537 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 571.537 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 571.537 * * * * [progress]: [ 958 / 2703 ] simplifiying candidate # 571.538 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ 1 (sqrt 1))) 571.538 * * [simplify]: iters left: 6 (22 enodes) 571.549 * * [simplify]: iters left: 5 (91 enodes) 571.574 * * [simplify]: iters left: 4 (159 enodes) 571.615 * * [simplify]: iters left: 3 (323 enodes) 571.752 * * [simplify]: Extracting #0: cost 1 inf + 0 571.752 * * [simplify]: Extracting #1: cost 59 inf + 0 571.752 * * [simplify]: Extracting #2: cost 94 inf + 1 571.753 * * [simplify]: Extracting #3: cost 116 inf + 1 571.754 * * [simplify]: Extracting #4: cost 163 inf + 2020 571.755 * * [simplify]: Extracting #5: cost 143 inf + 9881 571.759 * * [simplify]: Extracting #6: cost 86 inf + 20566 571.768 * * [simplify]: Extracting #7: cost 19 inf + 42593 571.790 * * [simplify]: Extracting #8: cost 0 inf + 50918 571.812 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 571.812 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 571.813 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 571.813 * * [simplify]: iters left: 6 (17 enodes) 571.821 * * [simplify]: iters left: 5 (61 enodes) 571.840 * * [simplify]: iters left: 4 (87 enodes) 571.865 * * [simplify]: iters left: 3 (124 enodes) 571.884 * * [simplify]: iters left: 2 (184 enodes) 571.914 * * [simplify]: iters left: 1 (286 enodes) 571.968 * * [simplify]: Extracting #0: cost 1 inf + 0 571.968 * * [simplify]: Extracting #1: cost 21 inf + 0 571.968 * * [simplify]: Extracting #2: cost 44 inf + 0 571.968 * * [simplify]: Extracting #3: cost 71 inf + 0 571.969 * * [simplify]: Extracting #4: cost 98 inf + 387 571.970 * * [simplify]: Extracting #5: cost 88 inf + 1985 571.974 * * [simplify]: Extracting #6: cost 48 inf + 10434 571.981 * * [simplify]: Extracting #7: cost 5 inf + 19295 571.989 * * [simplify]: Extracting #8: cost 0 inf + 20206 571.997 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 571.997 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 571.998 * * * * [progress]: [ 959 / 2703 ] simplifiying candidate # 571.998 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 571.998 * * [simplify]: iters left: 6 (24 enodes) 572.011 * * [simplify]: iters left: 5 (97 enodes) 572.031 * * [simplify]: iters left: 4 (175 enodes) 572.093 * * [simplify]: iters left: 3 (412 enodes) 572.311 * * [simplify]: Extracting #0: cost 1 inf + 0 572.312 * * [simplify]: Extracting #1: cost 114 inf + 0 572.314 * * [simplify]: Extracting #2: cost 227 inf + 1 572.316 * * [simplify]: Extracting #3: cost 250 inf + 1 572.323 * * [simplify]: Extracting #4: cost 303 inf + 629 572.327 * * [simplify]: Extracting #5: cost 273 inf + 10171 572.345 * * [simplify]: Extracting #6: cost 143 inf + 51025 572.390 * * [simplify]: Extracting #7: cost 31 inf + 111733 572.446 * * [simplify]: Extracting #8: cost 0 inf + 131441 572.485 * [simplify]: Simplified to (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) 572.485 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 572.485 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 572.486 * * [simplify]: iters left: 6 (18 enodes) 572.494 * * [simplify]: iters left: 5 (64 enodes) 572.514 * * [simplify]: iters left: 4 (90 enodes) 572.529 * * [simplify]: iters left: 3 (127 enodes) 572.551 * * [simplify]: iters left: 2 (187 enodes) 572.613 * * [simplify]: iters left: 1 (289 enodes) 572.674 * * [simplify]: Extracting #0: cost 1 inf + 0 572.674 * * [simplify]: Extracting #1: cost 22 inf + 0 572.675 * * [simplify]: Extracting #2: cost 45 inf + 0 572.675 * * [simplify]: Extracting #3: cost 72 inf + 0 572.676 * * [simplify]: Extracting #4: cost 101 inf + 387 572.677 * * [simplify]: Extracting #5: cost 88 inf + 2410 572.681 * * [simplify]: Extracting #6: cost 34 inf + 14313 572.690 * * [simplify]: Extracting #7: cost 3 inf + 21948 572.699 * * [simplify]: Extracting #8: cost 0 inf + 22074 572.704 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 572.704 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 572.704 * * * * [progress]: [ 960 / 2703 ] simplifiying candidate # 572.704 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ 1 1)) 572.705 * * [simplify]: iters left: 6 (21 enodes) 572.710 * * [simplify]: iters left: 5 (84 enodes) 572.726 * * [simplify]: iters left: 4 (149 enodes) 572.782 * * [simplify]: iters left: 3 (290 enodes) 572.904 * * [simplify]: Extracting #0: cost 1 inf + 0 572.905 * * [simplify]: Extracting #1: cost 41 inf + 0 572.905 * * [simplify]: Extracting #2: cost 76 inf + 1 572.905 * * [simplify]: Extracting #3: cost 98 inf + 1 572.906 * * [simplify]: Extracting #4: cost 144 inf + 2743 572.908 * * [simplify]: Extracting #5: cost 124 inf + 9881 572.912 * * [simplify]: Extracting #6: cost 66 inf + 21963 572.923 * * [simplify]: Extracting #7: cost 4 inf + 40323 572.932 * * [simplify]: Extracting #8: cost 0 inf + 41986 572.945 * [simplify]: Simplified to (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) 572.946 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 572.946 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 572.946 * * [simplify]: iters left: 6 (17 enodes) 572.955 * * [simplify]: iters left: 5 (61 enodes) 572.974 * * [simplify]: iters left: 4 (87 enodes) 572.989 * * [simplify]: iters left: 3 (124 enodes) 573.008 * * [simplify]: iters left: 2 (184 enodes) 573.068 * * [simplify]: iters left: 1 (286 enodes) 573.142 * * [simplify]: Extracting #0: cost 1 inf + 0 573.142 * * [simplify]: Extracting #1: cost 21 inf + 0 573.143 * * [simplify]: Extracting #2: cost 44 inf + 0 573.143 * * [simplify]: Extracting #3: cost 71 inf + 0 573.143 * * [simplify]: Extracting #4: cost 98 inf + 387 573.144 * * [simplify]: Extracting #5: cost 88 inf + 1985 573.145 * * [simplify]: Extracting #6: cost 48 inf + 10434 573.149 * * [simplify]: Extracting #7: cost 5 inf + 19295 573.153 * * [simplify]: Extracting #8: cost 0 inf + 20206 573.160 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 573.160 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 573.161 * * * * [progress]: [ 961 / 2703 ] simplifiying candidate # 573.161 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 1) 573.161 * * [simplify]: iters left: 6 (20 enodes) 573.172 * * [simplify]: iters left: 5 (81 enodes) 573.200 * * [simplify]: iters left: 4 (150 enodes) 573.258 * * [simplify]: iters left: 3 (302 enodes) 573.383 * * [simplify]: Extracting #0: cost 1 inf + 0 573.383 * * [simplify]: Extracting #1: cost 45 inf + 0 573.384 * * [simplify]: Extracting #2: cost 81 inf + 1 573.385 * * [simplify]: Extracting #3: cost 103 inf + 1 573.386 * * [simplify]: Extracting #4: cost 147 inf + 2764 573.389 * * [simplify]: Extracting #5: cost 132 inf + 8552 573.397 * * [simplify]: Extracting #6: cost 70 inf + 23770 573.414 * * [simplify]: Extracting #7: cost 8 inf + 42508 573.435 * * [simplify]: Extracting #8: cost 0 inf + 45069 573.454 * [simplify]: Simplified to (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 573.454 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 573.455 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 573.455 * * [simplify]: iters left: 6 (17 enodes) 573.463 * * [simplify]: iters left: 5 (61 enodes) 573.482 * * [simplify]: iters left: 4 (87 enodes) 573.508 * * [simplify]: iters left: 3 (124 enodes) 573.548 * * [simplify]: iters left: 2 (184 enodes) 573.606 * * [simplify]: iters left: 1 (286 enodes) 574.134 * * [simplify]: Extracting #0: cost 1 inf + 0 574.134 * * [simplify]: Extracting #1: cost 21 inf + 0 574.134 * * [simplify]: Extracting #2: cost 44 inf + 0 574.135 * * [simplify]: Extracting #3: cost 71 inf + 0 574.135 * * [simplify]: Extracting #4: cost 98 inf + 387 574.136 * * [simplify]: Extracting #5: cost 88 inf + 1985 574.139 * * [simplify]: Extracting #6: cost 48 inf + 10434 574.147 * * [simplify]: Extracting #7: cost 5 inf + 19295 574.155 * * [simplify]: Extracting #8: cost 0 inf + 20206 574.163 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))) 574.163 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 574.163 * * * * [progress]: [ 962 / 2703 ] simplifiying candidate # 574.164 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (cbrt (sqrt 2))) 574.164 * * [simplify]: iters left: 6 (19 enodes) 574.174 * * [simplify]: iters left: 5 (78 enodes) 574.200 * * [simplify]: iters left: 4 (145 enodes) 574.236 * * [simplify]: iters left: 3 (295 enodes) 574.321 * * [simplify]: Extracting #0: cost 1 inf + 0 574.321 * * [simplify]: Extracting #1: cost 33 inf + 0 574.321 * * [simplify]: Extracting #2: cost 80 inf + 0 574.321 * * [simplify]: Extracting #3: cost 96 inf + 366 574.322 * * [simplify]: Extracting #4: cost 140 inf + 3691 574.324 * * [simplify]: Extracting #5: cost 122 inf + 11564 574.328 * * [simplify]: Extracting #6: cost 50 inf + 31369 574.337 * * [simplify]: Extracting #7: cost 3 inf + 45330 574.347 * * [simplify]: Extracting #8: cost 0 inf + 43512 574.366 * * [simplify]: Extracting #9: cost 0 inf + 43170 574.385 * [simplify]: Simplified to (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 574.385 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 574.385 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 574.385 * * [simplify]: iters left: 6 (15 enodes) 574.393 * * [simplify]: iters left: 5 (57 enodes) 574.411 * * [simplify]: iters left: 4 (81 enodes) 574.439 * * [simplify]: iters left: 3 (110 enodes) 574.471 * * [simplify]: iters left: 2 (179 enodes) 574.502 * * [simplify]: iters left: 1 (283 enodes) 574.556 * * [simplify]: Extracting #0: cost 1 inf + 0 574.556 * * [simplify]: Extracting #1: cost 13 inf + 0 574.556 * * [simplify]: Extracting #2: cost 26 inf + 1 574.557 * * [simplify]: Extracting #3: cost 50 inf + 1 574.557 * * [simplify]: Extracting #4: cost 82 inf + 63 574.557 * * [simplify]: Extracting #5: cost 63 inf + 2315 574.559 * * [simplify]: Extracting #6: cost 11 inf + 9923 574.563 * * [simplify]: Extracting #7: cost 0 inf + 12227 574.568 * * [simplify]: Extracting #8: cost 0 inf + 12187 574.575 * [simplify]: Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (- (* a1 a1) (* a2 a2))) (cbrt (cos th)))) 574.575 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (- (* a1 a1) (* a2 a2))) (cbrt (cos th)))))) 574.575 * * * * [progress]: [ 963 / 2703 ] simplifiying candidate # 574.575 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 574.576 * * [simplify]: iters left: 6 (25 enodes) 574.590 * * [simplify]: iters left: 5 (113 enodes) 574.630 * * [simplify]: iters left: 4 (222 enodes) 574.680 * * [simplify]: Extracting #0: cost 1 inf + 0 574.680 * * [simplify]: Extracting #1: cost 50 inf + 0 574.681 * * [simplify]: Extracting #2: cost 110 inf + 0 574.681 * * [simplify]: Extracting #3: cost 140 inf + 0 574.682 * * [simplify]: Extracting #4: cost 170 inf + 1152 574.683 * * [simplify]: Extracting #5: cost 158 inf + 6132 574.686 * * [simplify]: Extracting #6: cost 112 inf + 17053 574.702 * * [simplify]: Extracting #7: cost 28 inf + 57531 574.734 * * [simplify]: Extracting #8: cost 0 inf + 74564 574.749 * [simplify]: Simplified to (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (cbrt (sqrt 2)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* a1 a1) (* (* a1 a1) (* a1 a1)))))) 574.749 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (cbrt (sqrt 2)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* a1 a1) (* (* a1 a1) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 574.749 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 574.750 * * [simplify]: iters left: 6 (17 enodes) 574.754 * * [simplify]: iters left: 5 (80 enodes) 574.775 * * [simplify]: iters left: 4 (162 enodes) 574.808 * * [simplify]: iters left: 3 (281 enodes) 574.870 * * [simplify]: iters left: 2 (437 enodes) 575.035 * * [simplify]: Extracting #0: cost 1 inf + 0 575.035 * * [simplify]: Extracting #1: cost 8 inf + 0 575.035 * * [simplify]: Extracting #2: cost 17 inf + 0 575.035 * * [simplify]: Extracting #3: cost 77 inf + 0 575.036 * * [simplify]: Extracting #4: cost 214 inf + 62 575.038 * * [simplify]: Extracting #5: cost 223 inf + 6821 575.044 * * [simplify]: Extracting #6: cost 69 inf + 30776 575.054 * * [simplify]: Extracting #7: cost 8 inf + 42621 575.068 * * [simplify]: Extracting #8: cost 0 inf + 44779 575.078 * [simplify]: Simplified to (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (+ (* (- (* a1 a1) (* a2 a2)) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) 575.078 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (cbrt (sqrt 2)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* a1 a1) (* (* a1 a1) (* a1 a1)))))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (+ (* (- (* a1 a1) (* a2 a2)) (* a1 a1)) (* (* a2 a2) (* a2 a2))))))) 575.078 * * * * [progress]: [ 964 / 2703 ] simplifiying candidate # 575.079 * [simplify]: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 575.079 * * [simplify]: iters left: 6 (20 enodes) 575.087 * * [simplify]: iters left: 5 (83 enodes) 575.103 * * [simplify]: iters left: 4 (163 enodes) 575.160 * * [simplify]: iters left: 3 (373 enodes) 575.307 * * [simplify]: Extracting #0: cost 1 inf + 0 575.307 * * [simplify]: Extracting #1: cost 70 inf + 0 575.308 * * [simplify]: Extracting #2: cost 168 inf + 0 575.310 * * [simplify]: Extracting #3: cost 232 inf + 1 575.315 * * [simplify]: Extracting #4: cost 194 inf + 12902 575.345 * * [simplify]: Extracting #5: cost 38 inf + 70693 575.366 * * [simplify]: Extracting #6: cost 2 inf + 84897 575.395 * * [simplify]: Extracting #7: cost 0 inf + 85321 575.416 * [simplify]: Simplified to (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) 575.416 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2)))))) 575.416 * [simplify]: Simplifying (/ (/ (cbrt (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2)))) 575.416 * * [simplify]: iters left: 6 (11 enodes) 575.420 * * [simplify]: iters left: 5 (40 enodes) 575.431 * * [simplify]: iters left: 4 (53 enodes) 575.447 * * [simplify]: iters left: 3 (71 enodes) 575.469 * * [simplify]: iters left: 2 (112 enodes) 575.511 * * [simplify]: iters left: 1 (195 enodes) 575.575 * * [simplify]: Extracting #0: cost 1 inf + 0 575.575 * * [simplify]: Extracting #1: cost 6 inf + 0 575.575 * * [simplify]: Extracting #2: cost 31 inf + 0 575.575 * * [simplify]: Extracting #3: cost 67 inf + 0 575.576 * * [simplify]: Extracting #4: cost 54 inf + 1041 575.578 * * [simplify]: Extracting #5: cost 15 inf + 5675 575.582 * * [simplify]: Extracting #6: cost 0 inf + 7846 575.586 * * [simplify]: Extracting #7: cost 0 inf + 7646 575.590 * [simplify]: Simplified to (/ (cbrt (cos th)) (- (* a1 a1) (* a2 a2))) 575.590 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ (cbrt (cos th)) (- (* a1 a1) (* a2 a2))))) 575.590 * * * * [progress]: [ 965 / 2703 ] simplifiying candidate # 575.590 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 575.591 * * [simplify]: iters left: 6 (21 enodes) 575.601 * * [simplify]: iters left: 5 (72 enodes) 575.623 * * [simplify]: iters left: 4 (93 enodes) 575.654 * * [simplify]: iters left: 3 (128 enodes) 575.691 * * [simplify]: iters left: 2 (138 enodes) 575.725 * * [simplify]: Extracting #0: cost 1 inf + 0 575.725 * * [simplify]: Extracting #1: cost 18 inf + 0 575.726 * * [simplify]: Extracting #2: cost 37 inf + 0 575.726 * * [simplify]: Extracting #3: cost 45 inf + 0 575.726 * * [simplify]: Extracting #4: cost 49 inf + 62 575.726 * * [simplify]: Extracting #5: cost 51 inf + 325 575.727 * * [simplify]: Extracting #6: cost 49 inf + 851 575.727 * * [simplify]: Extracting #7: cost 45 inf + 1015 575.728 * * [simplify]: Extracting #8: cost 31 inf + 4708 575.732 * * [simplify]: Extracting #9: cost 16 inf + 12778 575.740 * * [simplify]: Extracting #10: cost 1 inf + 22412 575.748 * * [simplify]: Extracting #11: cost 0 inf + 23196 575.756 * [simplify]: Simplified to (/ (sqrt (cos th)) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 575.756 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 575.757 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 575.757 * * [simplify]: iters left: 6 (19 enodes) 575.766 * * [simplify]: iters left: 5 (62 enodes) 575.786 * * [simplify]: iters left: 4 (70 enodes) 575.799 * * [simplify]: iters left: 3 (73 enodes) 575.810 * * [simplify]: Extracting #0: cost 1 inf + 0 575.810 * * [simplify]: Extracting #1: cost 8 inf + 0 575.810 * * [simplify]: Extracting #2: cost 17 inf + 0 575.810 * * [simplify]: Extracting #3: cost 25 inf + 0 575.810 * * [simplify]: Extracting #4: cost 29 inf + 62 575.810 * * [simplify]: Extracting #5: cost 31 inf + 325 575.810 * * [simplify]: Extracting #6: cost 31 inf + 609 575.810 * * [simplify]: Extracting #7: cost 25 inf + 1015 575.811 * * [simplify]: Extracting #8: cost 16 inf + 2593 575.812 * * [simplify]: Extracting #9: cost 6 inf + 6704 575.813 * * [simplify]: Extracting #10: cost 0 inf + 10206 575.814 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 575.814 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (sqrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 575.815 * * * * [progress]: [ 966 / 2703 ] simplifiying candidate # 575.815 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 575.815 * * [simplify]: iters left: 6 (20 enodes) 575.820 * * [simplify]: iters left: 5 (67 enodes) 575.840 * * [simplify]: iters left: 4 (80 enodes) 575.852 * * [simplify]: iters left: 3 (93 enodes) 575.865 * * [simplify]: iters left: 2 (95 enodes) 575.879 * * [simplify]: Extracting #0: cost 1 inf + 0 575.879 * * [simplify]: Extracting #1: cost 12 inf + 0 575.879 * * [simplify]: Extracting #2: cost 25 inf + 0 575.879 * * [simplify]: Extracting #3: cost 33 inf + 0 575.879 * * [simplify]: Extracting #4: cost 37 inf + 62 575.879 * * [simplify]: Extracting #5: cost 39 inf + 325 575.879 * * [simplify]: Extracting #6: cost 39 inf + 529 575.879 * * [simplify]: Extracting #7: cost 33 inf + 1015 575.880 * * [simplify]: Extracting #8: cost 18 inf + 5232 575.881 * * [simplify]: Extracting #9: cost 7 inf + 10628 575.884 * * [simplify]: Extracting #10: cost 0 inf + 14954 575.887 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 575.888 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 575.888 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 575.888 * * [simplify]: iters left: 6 (19 enodes) 575.893 * * [simplify]: iters left: 5 (62 enodes) 575.902 * * [simplify]: iters left: 4 (70 enodes) 575.918 * * [simplify]: iters left: 3 (73 enodes) 575.939 * * [simplify]: Extracting #0: cost 1 inf + 0 575.939 * * [simplify]: Extracting #1: cost 8 inf + 0 575.939 * * [simplify]: Extracting #2: cost 17 inf + 0 575.939 * * [simplify]: Extracting #3: cost 25 inf + 0 575.939 * * [simplify]: Extracting #4: cost 29 inf + 62 575.939 * * [simplify]: Extracting #5: cost 31 inf + 325 575.939 * * [simplify]: Extracting #6: cost 31 inf + 609 575.940 * * [simplify]: Extracting #7: cost 25 inf + 1015 575.941 * * [simplify]: Extracting #8: cost 16 inf + 2593 575.942 * * [simplify]: Extracting #9: cost 6 inf + 6584 575.944 * * [simplify]: Extracting #10: cost 0 inf + 9886 575.947 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 575.947 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (sqrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 575.947 * * * * [progress]: [ 967 / 2703 ] simplifiying candidate # 575.948 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 575.948 * * [simplify]: iters left: 6 (22 enodes) 575.954 * * [simplify]: iters left: 5 (77 enodes) 575.966 * * [simplify]: iters left: 4 (109 enodes) 575.988 * * [simplify]: iters left: 3 (183 enodes) 576.040 * * [simplify]: iters left: 2 (348 enodes) 576.180 * * [simplify]: Extracting #0: cost 1 inf + 0 576.180 * * [simplify]: Extracting #1: cost 62 inf + 0 576.181 * * [simplify]: Extracting #2: cost 133 inf + 0 576.182 * * [simplify]: Extracting #3: cost 143 inf + 0 576.183 * * [simplify]: Extracting #4: cost 146 inf + 224 576.185 * * [simplify]: Extracting #5: cost 151 inf + 325 576.186 * * [simplify]: Extracting #6: cost 143 inf + 853 576.190 * * [simplify]: Extracting #7: cost 109 inf + 13599 576.215 * * [simplify]: Extracting #8: cost 25 inf + 68763 576.253 * * [simplify]: Extracting #9: cost 0 inf + 85733 576.291 * [simplify]: Simplified to (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (sqrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 576.291 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (sqrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 576.292 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 576.292 * * [simplify]: iters left: 6 (20 enodes) 576.301 * * [simplify]: iters left: 5 (67 enodes) 576.322 * * [simplify]: iters left: 4 (84 enodes) 576.337 * * [simplify]: iters left: 3 (107 enodes) 576.352 * * [simplify]: iters left: 2 (126 enodes) 576.383 * * [simplify]: iters left: 1 (145 enodes) 576.417 * * [simplify]: Extracting #0: cost 1 inf + 0 576.417 * * [simplify]: Extracting #1: cost 21 inf + 0 576.418 * * [simplify]: Extracting #2: cost 44 inf + 0 576.418 * * [simplify]: Extracting #3: cost 55 inf + 0 576.418 * * [simplify]: Extracting #4: cost 61 inf + 62 576.418 * * [simplify]: Extracting #5: cost 53 inf + 1515 576.419 * * [simplify]: Extracting #6: cost 47 inf + 2443 576.419 * * [simplify]: Extracting #7: cost 29 inf + 8308 576.422 * * [simplify]: Extracting #8: cost 3 inf + 22995 576.426 * * [simplify]: Extracting #9: cost 0 inf + 24544 576.430 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 576.430 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 576.430 * * * * [progress]: [ 968 / 2703 ] simplifiying candidate # 576.431 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 576.431 * * [simplify]: iters left: 6 (23 enodes) 576.436 * * [simplify]: iters left: 5 (79 enodes) 576.459 * * [simplify]: iters left: 4 (103 enodes) 576.475 * * [simplify]: iters left: 3 (148 enodes) 576.504 * * [simplify]: iters left: 2 (200 enodes) 576.565 * * [simplify]: iters left: 1 (263 enodes) 576.624 * * [simplify]: Extracting #0: cost 1 inf + 0 576.624 * * [simplify]: Extracting #1: cost 41 inf + 0 576.625 * * [simplify]: Extracting #2: cost 78 inf + 0 576.625 * * [simplify]: Extracting #3: cost 90 inf + 0 576.625 * * [simplify]: Extracting #4: cost 96 inf + 62 576.626 * * [simplify]: Extracting #5: cost 100 inf + 224 576.626 * * [simplify]: Extracting #6: cost 90 inf + 894 576.629 * * [simplify]: Extracting #7: cost 58 inf + 14441 576.645 * * [simplify]: Extracting #8: cost 6 inf + 45171 576.664 * * [simplify]: Extracting #9: cost 0 inf + 49431 576.674 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 576.674 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cos th))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 576.675 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 576.675 * * [simplify]: iters left: 6 (21 enodes) 576.680 * * [simplify]: iters left: 5 (70 enodes) 576.691 * * [simplify]: iters left: 4 (87 enodes) 576.714 * * [simplify]: iters left: 3 (110 enodes) 576.732 * * [simplify]: iters left: 2 (129 enodes) 576.751 * * [simplify]: iters left: 1 (148 enodes) 576.772 * * [simplify]: Extracting #0: cost 1 inf + 0 576.772 * * [simplify]: Extracting #1: cost 22 inf + 0 576.772 * * [simplify]: Extracting #2: cost 45 inf + 0 576.773 * * [simplify]: Extracting #3: cost 57 inf + 0 576.773 * * [simplify]: Extracting #4: cost 64 inf + 62 576.773 * * [simplify]: Extracting #5: cost 59 inf + 1011 576.773 * * [simplify]: Extracting #6: cost 50 inf + 2443 576.774 * * [simplify]: Extracting #7: cost 34 inf + 7443 576.780 * * [simplify]: Extracting #8: cost 9 inf + 21203 576.787 * * [simplify]: Extracting #9: cost 0 inf + 26132 576.795 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))) 576.795 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (sqrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))))) 576.796 * * * * [progress]: [ 969 / 2703 ] simplifiying candidate # 576.796 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 576.796 * * [simplify]: iters left: 6 (21 enodes) 576.806 * * [simplify]: iters left: 5 (72 enodes) 576.828 * * [simplify]: iters left: 4 (96 enodes) 576.844 * * [simplify]: iters left: 3 (141 enodes) 576.873 * * [simplify]: iters left: 2 (193 enodes) 576.930 * * [simplify]: iters left: 1 (256 enodes) 576.989 * * [simplify]: Extracting #0: cost 1 inf + 0 576.989 * * [simplify]: Extracting #1: cost 41 inf + 0 576.989 * * [simplify]: Extracting #2: cost 77 inf + 0 576.989 * * [simplify]: Extracting #3: cost 87 inf + 0 576.990 * * [simplify]: Extracting #4: cost 92 inf + 62 576.990 * * [simplify]: Extracting #5: cost 96 inf + 224 576.991 * * [simplify]: Extracting #6: cost 87 inf + 853 576.992 * * [simplify]: Extracting #7: cost 51 inf + 15050 577.000 * * [simplify]: Extracting #8: cost 6 inf + 41942 577.010 * * [simplify]: Extracting #9: cost 0 inf + 46143 577.020 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cos th))))) 577.020 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cos th))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 577.021 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 577.021 * * [simplify]: iters left: 6 (20 enodes) 577.026 * * [simplify]: iters left: 5 (67 enodes) 577.036 * * [simplify]: iters left: 4 (84 enodes) 577.056 * * [simplify]: iters left: 3 (107 enodes) 577.086 * * [simplify]: iters left: 2 (126 enodes) 577.121 * * [simplify]: iters left: 1 (145 enodes) 577.163 * * [simplify]: Extracting #0: cost 1 inf + 0 577.163 * * [simplify]: Extracting #1: cost 21 inf + 0 577.163 * * [simplify]: Extracting #2: cost 44 inf + 0 577.163 * * [simplify]: Extracting #3: cost 55 inf + 0 577.163 * * [simplify]: Extracting #4: cost 61 inf + 62 577.164 * * [simplify]: Extracting #5: cost 53 inf + 1515 577.165 * * [simplify]: Extracting #6: cost 47 inf + 2443 577.166 * * [simplify]: Extracting #7: cost 29 inf + 8228 577.172 * * [simplify]: Extracting #8: cost 3 inf + 22235 577.180 * * [simplify]: Extracting #9: cost 0 inf + 23664 577.187 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 577.187 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 577.188 * * * * [progress]: [ 970 / 2703 ] simplifiying candidate # 577.188 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) 577.188 * * [simplify]: iters left: 6 (22 enodes) 577.201 * * [simplify]: iters left: 5 (77 enodes) 577.226 * * [simplify]: iters left: 4 (93 enodes) 577.253 * * [simplify]: iters left: 3 (122 enodes) 577.274 * * [simplify]: iters left: 2 (163 enodes) 577.315 * * [simplify]: iters left: 1 (226 enodes) 577.377 * * [simplify]: Extracting #0: cost 1 inf + 0 577.378 * * [simplify]: Extracting #1: cost 27 inf + 0 577.378 * * [simplify]: Extracting #2: cost 47 inf + 1 577.378 * * [simplify]: Extracting #3: cost 55 inf + 1 577.378 * * [simplify]: Extracting #4: cost 59 inf + 63 577.378 * * [simplify]: Extracting #5: cost 61 inf + 326 577.379 * * [simplify]: Extracting #6: cost 59 inf + 932 577.379 * * [simplify]: Extracting #7: cost 51 inf + 2062 577.380 * * [simplify]: Extracting #8: cost 44 inf + 3713 577.381 * * [simplify]: Extracting #9: cost 31 inf + 9695 577.386 * * [simplify]: Extracting #10: cost 5 inf + 24189 577.393 * * [simplify]: Extracting #11: cost 0 inf + 27307 577.401 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 577.401 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 577.401 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 577.401 * * [simplify]: iters left: 6 (19 enodes) 577.406 * * [simplify]: iters left: 5 (64 enodes) 577.416 * * [simplify]: iters left: 4 (81 enodes) 577.428 * * [simplify]: iters left: 3 (104 enodes) 577.444 * * [simplify]: iters left: 2 (123 enodes) 577.465 * * [simplify]: iters left: 1 (142 enodes) 577.510 * * [simplify]: Extracting #0: cost 1 inf + 0 577.510 * * [simplify]: Extracting #1: cost 21 inf + 0 577.510 * * [simplify]: Extracting #2: cost 44 inf + 0 577.510 * * [simplify]: Extracting #3: cost 56 inf + 0 577.511 * * [simplify]: Extracting #4: cost 62 inf + 123 577.511 * * [simplify]: Extracting #5: cost 50 inf + 1095 577.513 * * [simplify]: Extracting #6: cost 29 inf + 7344 577.518 * * [simplify]: Extracting #7: cost 4 inf + 20107 577.526 * * [simplify]: Extracting #8: cost 0 inf + 22460 577.533 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 577.533 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt 1))) (* (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 577.533 * * * * [progress]: [ 971 / 2703 ] simplifiying candidate # 577.534 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 577.534 * * [simplify]: iters left: 6 (21 enodes) 577.544 * * [simplify]: iters left: 5 (72 enodes) 577.566 * * [simplify]: iters left: 4 (96 enodes) 577.594 * * [simplify]: iters left: 3 (141 enodes) 577.621 * * [simplify]: iters left: 2 (193 enodes) 577.678 * * [simplify]: iters left: 1 (256 enodes) 577.731 * * [simplify]: Extracting #0: cost 1 inf + 0 577.731 * * [simplify]: Extracting #1: cost 41 inf + 0 577.731 * * [simplify]: Extracting #2: cost 77 inf + 0 577.732 * * [simplify]: Extracting #3: cost 87 inf + 0 577.732 * * [simplify]: Extracting #4: cost 92 inf + 62 577.732 * * [simplify]: Extracting #5: cost 96 inf + 224 577.733 * * [simplify]: Extracting #6: cost 87 inf + 853 577.735 * * [simplify]: Extracting #7: cost 51 inf + 15050 577.743 * * [simplify]: Extracting #8: cost 6 inf + 41942 577.759 * * [simplify]: Extracting #9: cost 0 inf + 46143 577.778 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cos th))))) 577.778 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cos th))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 577.779 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 577.779 * * [simplify]: iters left: 6 (20 enodes) 577.789 * * [simplify]: iters left: 5 (67 enodes) 577.809 * * [simplify]: iters left: 4 (84 enodes) 577.822 * * [simplify]: iters left: 3 (107 enodes) 577.845 * * [simplify]: iters left: 2 (126 enodes) 577.864 * * [simplify]: iters left: 1 (145 enodes) 577.898 * * [simplify]: Extracting #0: cost 1 inf + 0 577.898 * * [simplify]: Extracting #1: cost 21 inf + 0 577.898 * * [simplify]: Extracting #2: cost 44 inf + 0 577.899 * * [simplify]: Extracting #3: cost 55 inf + 0 577.899 * * [simplify]: Extracting #4: cost 61 inf + 62 577.900 * * [simplify]: Extracting #5: cost 53 inf + 1515 577.900 * * [simplify]: Extracting #6: cost 47 inf + 2443 577.902 * * [simplify]: Extracting #7: cost 29 inf + 8228 577.908 * * [simplify]: Extracting #8: cost 3 inf + 22235 577.914 * * [simplify]: Extracting #9: cost 0 inf + 23664 577.918 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 577.918 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 577.919 * * * * [progress]: [ 972 / 2703 ] simplifiying candidate # 577.919 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 577.919 * * [simplify]: iters left: 6 (21 enodes) 577.924 * * [simplify]: iters left: 5 (72 enodes) 577.936 * * [simplify]: iters left: 4 (90 enodes) 577.955 * * [simplify]: iters left: 3 (120 enodes) 577.990 * * [simplify]: iters left: 2 (166 enodes) 578.019 * * [simplify]: iters left: 1 (234 enodes) 578.083 * * [simplify]: Extracting #0: cost 1 inf + 0 578.083 * * [simplify]: Extracting #1: cost 24 inf + 0 578.084 * * [simplify]: Extracting #2: cost 46 inf + 1 578.084 * * [simplify]: Extracting #3: cost 54 inf + 1 578.084 * * [simplify]: Extracting #4: cost 58 inf + 63 578.084 * * [simplify]: Extracting #5: cost 60 inf + 326 578.085 * * [simplify]: Extracting #6: cost 58 inf + 852 578.085 * * [simplify]: Extracting #7: cost 48 inf + 2826 578.086 * * [simplify]: Extracting #8: cost 44 inf + 3672 578.089 * * [simplify]: Extracting #9: cost 27 inf + 10404 578.099 * * [simplify]: Extracting #10: cost 2 inf + 25295 578.109 * * [simplify]: Extracting #11: cost 0 inf + 26563 578.115 * [simplify]: Simplified to (/ (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 578.115 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 578.115 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 578.116 * * [simplify]: iters left: 6 (19 enodes) 578.121 * * [simplify]: iters left: 5 (64 enodes) 578.132 * * [simplify]: iters left: 4 (81 enodes) 578.154 * * [simplify]: iters left: 3 (104 enodes) 578.178 * * [simplify]: iters left: 2 (123 enodes) 578.195 * * [simplify]: iters left: 1 (142 enodes) 578.230 * * [simplify]: Extracting #0: cost 1 inf + 0 578.230 * * [simplify]: Extracting #1: cost 21 inf + 0 578.231 * * [simplify]: Extracting #2: cost 44 inf + 0 578.231 * * [simplify]: Extracting #3: cost 56 inf + 0 578.231 * * [simplify]: Extracting #4: cost 62 inf + 123 578.232 * * [simplify]: Extracting #5: cost 50 inf + 1095 578.233 * * [simplify]: Extracting #6: cost 29 inf + 7344 578.239 * * [simplify]: Extracting #7: cost 4 inf + 20107 578.247 * * [simplify]: Extracting #8: cost 0 inf + 22460 578.255 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 578.255 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) (* (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 578.255 * * * * [progress]: [ 973 / 2703 ] simplifiying candidate # 578.256 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 578.256 * * [simplify]: iters left: 6 (25 enodes) 578.268 * * [simplify]: iters left: 5 (87 enodes) 578.281 * * [simplify]: iters left: 4 (119 enodes) 578.301 * * [simplify]: iters left: 3 (193 enodes) 578.368 * * [simplify]: iters left: 2 (358 enodes) 578.515 * * [simplify]: Extracting #0: cost 1 inf + 0 578.515 * * [simplify]: Extracting #1: cost 61 inf + 0 578.516 * * [simplify]: Extracting #2: cost 132 inf + 0 578.517 * * [simplify]: Extracting #3: cost 145 inf + 0 578.518 * * [simplify]: Extracting #4: cost 152 inf + 264 578.520 * * [simplify]: Extracting #5: cost 152 inf + 649 578.521 * * [simplify]: Extracting #6: cost 139 inf + 1942 578.523 * * [simplify]: Extracting #7: cost 133 inf + 2870 578.527 * * [simplify]: Extracting #8: cost 107 inf + 15548 578.555 * * [simplify]: Extracting #9: cost 21 inf + 74823 578.597 * * [simplify]: Extracting #10: cost 0 inf + 90435 578.626 * * [simplify]: Extracting #11: cost 0 inf + 90355 578.659 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (fabs (cbrt 2)))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 578.659 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (cbrt (fabs (cbrt 2)))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 578.659 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 578.660 * * [simplify]: iters left: 6 (22 enodes) 578.670 * * [simplify]: iters left: 5 (73 enodes) 578.693 * * [simplify]: iters left: 4 (90 enodes) 578.719 * * [simplify]: iters left: 3 (113 enodes) 578.751 * * [simplify]: iters left: 2 (132 enodes) 578.787 * * [simplify]: iters left: 1 (151 enodes) 578.831 * * [simplify]: Extracting #0: cost 1 inf + 0 578.831 * * [simplify]: Extracting #1: cost 22 inf + 0 578.832 * * [simplify]: Extracting #2: cost 45 inf + 0 578.832 * * [simplify]: Extracting #3: cost 57 inf + 0 578.832 * * [simplify]: Extracting #4: cost 64 inf + 123 578.833 * * [simplify]: Extracting #5: cost 61 inf + 851 578.833 * * [simplify]: Extracting #6: cost 54 inf + 1298 578.835 * * [simplify]: Extracting #7: cost 33 inf + 7345 578.840 * * [simplify]: Extracting #8: cost 8 inf + 22486 578.849 * * [simplify]: Extracting #9: cost 0 inf + 27212 578.858 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 578.858 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))))) 578.858 * * * * [progress]: [ 974 / 2703 ] simplifiying candidate # 578.859 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 578.859 * * [simplify]: iters left: 6 (26 enodes) 578.869 * * [simplify]: iters left: 5 (89 enodes) 578.885 * * [simplify]: iters left: 4 (113 enodes) 578.911 * * [simplify]: iters left: 3 (158 enodes) 578.939 * * [simplify]: iters left: 2 (210 enodes) 578.976 * * [simplify]: iters left: 1 (273 enodes) 579.049 * * [simplify]: Extracting #0: cost 1 inf + 0 579.050 * * [simplify]: Extracting #1: cost 36 inf + 0 579.050 * * [simplify]: Extracting #2: cost 71 inf + 0 579.051 * * [simplify]: Extracting #3: cost 86 inf + 0 579.051 * * [simplify]: Extracting #4: cost 96 inf + 62 579.052 * * [simplify]: Extracting #5: cost 94 inf + 649 579.053 * * [simplify]: Extracting #6: cost 83 inf + 1660 579.057 * * [simplify]: Extracting #7: cost 47 inf + 16416 579.075 * * [simplify]: Extracting #8: cost 6 inf + 42712 579.090 * * [simplify]: Extracting #9: cost 0 inf + 47431 579.100 * [simplify]: Simplified to (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (fabs (cbrt 2)))) (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) 579.100 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (fabs (cbrt 2)))) (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 579.100 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 579.101 * * [simplify]: iters left: 6 (23 enodes) 579.106 * * [simplify]: iters left: 5 (76 enodes) 579.117 * * [simplify]: iters left: 4 (93 enodes) 579.145 * * [simplify]: iters left: 3 (116 enodes) 579.177 * * [simplify]: iters left: 2 (135 enodes) 579.216 * * [simplify]: iters left: 1 (154 enodes) 579.242 * * [simplify]: Extracting #0: cost 1 inf + 0 579.242 * * [simplify]: Extracting #1: cost 22 inf + 0 579.242 * * [simplify]: Extracting #2: cost 45 inf + 0 579.242 * * [simplify]: Extracting #3: cost 58 inf + 0 579.242 * * [simplify]: Extracting #4: cost 67 inf + 62 579.242 * * [simplify]: Extracting #5: cost 64 inf + 690 579.243 * * [simplify]: Extracting #6: cost 57 inf + 1137 579.244 * * [simplify]: Extracting #7: cost 35 inf + 8406 579.246 * * [simplify]: Extracting #8: cost 17 inf + 17701 579.250 * * [simplify]: Extracting #9: cost 1 inf + 27472 579.255 * * [simplify]: Extracting #10: cost 0 inf + 28096 579.263 * [simplify]: Simplified to (* (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (cbrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) 579.263 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (cbrt 2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))) 579.264 * * * * [progress]: [ 975 / 2703 ] simplifiying candidate # 579.264 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 579.264 * * [simplify]: iters left: 6 (24 enodes) 579.276 * * [simplify]: iters left: 5 (82 enodes) 579.301 * * [simplify]: iters left: 4 (106 enodes) 579.336 * * [simplify]: iters left: 3 (151 enodes) 579.382 * * [simplify]: iters left: 2 (203 enodes) 579.444 * * [simplify]: iters left: 1 (266 enodes) 579.507 * * [simplify]: Extracting #0: cost 1 inf + 0 579.507 * * [simplify]: Extracting #1: cost 36 inf + 0 579.508 * * [simplify]: Extracting #2: cost 70 inf + 0 579.508 * * [simplify]: Extracting #3: cost 83 inf + 0 579.509 * * [simplify]: Extracting #4: cost 91 inf + 123 579.509 * * [simplify]: Extracting #5: cost 89 inf + 810 579.510 * * [simplify]: Extracting #6: cost 77 inf + 2163 579.514 * * [simplify]: Extracting #7: cost 43 inf + 17215 579.530 * * [simplify]: Extracting #8: cost 2 inf + 43056 579.548 * * [simplify]: Extracting #9: cost 0 inf + 44303 579.566 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 579.566 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 579.567 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 579.567 * * [simplify]: iters left: 6 (22 enodes) 579.578 * * [simplify]: iters left: 5 (73 enodes) 579.604 * * [simplify]: iters left: 4 (90 enodes) 579.630 * * [simplify]: iters left: 3 (113 enodes) 579.655 * * [simplify]: iters left: 2 (132 enodes) 579.674 * * [simplify]: iters left: 1 (151 enodes) 579.718 * * [simplify]: Extracting #0: cost 1 inf + 0 579.718 * * [simplify]: Extracting #1: cost 22 inf + 0 579.718 * * [simplify]: Extracting #2: cost 45 inf + 0 579.718 * * [simplify]: Extracting #3: cost 57 inf + 0 579.719 * * [simplify]: Extracting #4: cost 64 inf + 123 579.719 * * [simplify]: Extracting #5: cost 61 inf + 851 579.720 * * [simplify]: Extracting #6: cost 54 inf + 1298 579.721 * * [simplify]: Extracting #7: cost 33 inf + 7345 579.729 * * [simplify]: Extracting #8: cost 8 inf + 21886 579.733 * * [simplify]: Extracting #9: cost 0 inf + 26332 579.738 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 579.738 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))))) 579.738 * * * * [progress]: [ 976 / 2703 ] simplifiying candidate # 579.738 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) 579.738 * * [simplify]: iters left: 6 (25 enodes) 579.745 * * [simplify]: iters left: 5 (87 enodes) 579.759 * * [simplify]: iters left: 4 (103 enodes) 579.790 * * [simplify]: iters left: 3 (132 enodes) 579.834 * * [simplify]: iters left: 2 (173 enodes) 579.881 * * [simplify]: iters left: 1 (236 enodes) 579.941 * * [simplify]: Extracting #0: cost 1 inf + 0 579.941 * * [simplify]: Extracting #1: cost 27 inf + 0 579.941 * * [simplify]: Extracting #2: cost 47 inf + 1 579.942 * * [simplify]: Extracting #3: cost 58 inf + 1 579.942 * * [simplify]: Extracting #4: cost 66 inf + 63 579.942 * * [simplify]: Extracting #5: cost 61 inf + 892 579.943 * * [simplify]: Extracting #6: cost 57 inf + 2041 579.944 * * [simplify]: Extracting #7: cost 47 inf + 3916 579.945 * * [simplify]: Extracting #8: cost 26 inf + 12596 579.951 * * [simplify]: Extracting #9: cost 3 inf + 27541 579.957 * * [simplify]: Extracting #10: cost 0 inf + 29793 579.964 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (fabs (cbrt 2)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 579.964 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (fabs (cbrt 2)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 579.964 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 579.964 * * [simplify]: iters left: 6 (21 enodes) 579.972 * * [simplify]: iters left: 5 (70 enodes) 579.991 * * [simplify]: iters left: 4 (87 enodes) 580.014 * * [simplify]: iters left: 3 (110 enodes) 580.042 * * [simplify]: iters left: 2 (129 enodes) 580.074 * * [simplify]: iters left: 1 (148 enodes) 580.096 * * [simplify]: Extracting #0: cost 1 inf + 0 580.096 * * [simplify]: Extracting #1: cost 22 inf + 0 580.096 * * [simplify]: Extracting #2: cost 45 inf + 0 580.096 * * [simplify]: Extracting #3: cost 58 inf + 0 580.097 * * [simplify]: Extracting #4: cost 67 inf + 62 580.097 * * [simplify]: Extracting #5: cost 56 inf + 934 580.097 * * [simplify]: Extracting #6: cost 39 inf + 5190 580.100 * * [simplify]: Extracting #7: cost 8 inf + 21506 580.104 * * [simplify]: Extracting #8: cost 0 inf + 25128 580.108 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (cbrt 2))))) 580.108 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt 1))) (/ (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (cbrt 2))))))) 580.108 * * * * [progress]: [ 977 / 2703 ] simplifiying candidate # 580.108 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 580.108 * * [simplify]: iters left: 6 (24 enodes) 580.115 * * [simplify]: iters left: 5 (82 enodes) 580.135 * * [simplify]: iters left: 4 (106 enodes) 580.154 * * [simplify]: iters left: 3 (151 enodes) 580.182 * * [simplify]: iters left: 2 (203 enodes) 580.241 * * [simplify]: iters left: 1 (266 enodes) 580.312 * * [simplify]: Extracting #0: cost 1 inf + 0 580.313 * * [simplify]: Extracting #1: cost 36 inf + 0 580.313 * * [simplify]: Extracting #2: cost 70 inf + 0 580.313 * * [simplify]: Extracting #3: cost 83 inf + 0 580.313 * * [simplify]: Extracting #4: cost 91 inf + 123 580.314 * * [simplify]: Extracting #5: cost 89 inf + 810 580.314 * * [simplify]: Extracting #6: cost 77 inf + 2163 580.316 * * [simplify]: Extracting #7: cost 43 inf + 17215 580.324 * * [simplify]: Extracting #8: cost 2 inf + 43056 580.334 * * [simplify]: Extracting #9: cost 0 inf + 44303 580.347 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 580.348 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (fabs (cbrt 2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 580.348 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 580.348 * * [simplify]: iters left: 6 (22 enodes) 580.359 * * [simplify]: iters left: 5 (73 enodes) 580.380 * * [simplify]: iters left: 4 (90 enodes) 580.394 * * [simplify]: iters left: 3 (113 enodes) 580.417 * * [simplify]: iters left: 2 (132 enodes) 580.452 * * [simplify]: iters left: 1 (151 enodes) 580.501 * * [simplify]: Extracting #0: cost 1 inf + 0 580.501 * * [simplify]: Extracting #1: cost 22 inf + 0 580.501 * * [simplify]: Extracting #2: cost 45 inf + 0 580.502 * * [simplify]: Extracting #3: cost 57 inf + 0 580.502 * * [simplify]: Extracting #4: cost 64 inf + 123 580.502 * * [simplify]: Extracting #5: cost 61 inf + 851 580.503 * * [simplify]: Extracting #6: cost 54 inf + 1298 580.504 * * [simplify]: Extracting #7: cost 33 inf + 7345 580.510 * * [simplify]: Extracting #8: cost 8 inf + 21886 580.518 * * [simplify]: Extracting #9: cost 0 inf + 26332 580.526 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 580.526 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cos th)) (/ (cbrt (sqrt (cbrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))))) 580.527 * * * * [progress]: [ 978 / 2703 ] simplifiying candidate # 580.527 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 580.527 * * [simplify]: iters left: 6 (24 enodes) 580.539 * * [simplify]: iters left: 5 (82 enodes) 580.552 * * [simplify]: iters left: 4 (100 enodes) 580.573 * * [simplify]: iters left: 3 (130 enodes) 580.611 * * [simplify]: iters left: 2 (176 enodes) 580.644 * * [simplify]: iters left: 1 (244 enodes) 580.726 * * [simplify]: Extracting #0: cost 1 inf + 0 580.726 * * [simplify]: Extracting #1: cost 24 inf + 0 580.726 * * [simplify]: Extracting #2: cost 46 inf + 1 580.726 * * [simplify]: Extracting #3: cost 57 inf + 1 580.726 * * [simplify]: Extracting #4: cost 65 inf + 63 580.727 * * [simplify]: Extracting #5: cost 60 inf + 852 580.727 * * [simplify]: Extracting #6: cost 54 inf + 2363 580.728 * * [simplify]: Extracting #7: cost 47 inf + 3674 580.728 * * [simplify]: Extracting #8: cost 39 inf + 4607 580.730 * * [simplify]: Extracting #9: cost 24 inf + 12579 580.738 * * [simplify]: Extracting #10: cost 3 inf + 26377 580.751 * * [simplify]: Extracting #11: cost 0 inf + 28929 580.763 * [simplify]: Simplified to (/ (sqrt (cos th)) (* (cbrt (fabs (cbrt 2))) (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) 580.763 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (cbrt (fabs (cbrt 2))) (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 580.763 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (cbrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 580.764 * * [simplify]: iters left: 6 (21 enodes) 580.769 * * [simplify]: iters left: 5 (70 enodes) 580.780 * * [simplify]: iters left: 4 (87 enodes) 580.794 * * [simplify]: iters left: 3 (110 enodes) 580.824 * * [simplify]: iters left: 2 (129 enodes) 580.843 * * [simplify]: iters left: 1 (148 enodes) 580.867 * * [simplify]: Extracting #0: cost 1 inf + 0 580.867 * * [simplify]: Extracting #1: cost 22 inf + 0 580.868 * * [simplify]: Extracting #2: cost 45 inf + 0 580.868 * * [simplify]: Extracting #3: cost 58 inf + 0 580.868 * * [simplify]: Extracting #4: cost 67 inf + 62 580.869 * * [simplify]: Extracting #5: cost 56 inf + 934 580.870 * * [simplify]: Extracting #6: cost 39 inf + 5190 580.876 * * [simplify]: Extracting #7: cost 8 inf + 21506 580.884 * * [simplify]: Extracting #8: cost 0 inf + 25128 580.891 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (cbrt 2))))) 580.891 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) (/ (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (cbrt 2))))))) 580.891 * * * * [progress]: [ 979 / 2703 ] simplifiying candidate # 580.891 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 580.892 * * [simplify]: iters left: 6 (23 enodes) 580.897 * * [simplify]: iters left: 5 (80 enodes) 580.912 * * [simplify]: iters left: 4 (112 enodes) 580.931 * * [simplify]: iters left: 3 (186 enodes) 580.989 * * [simplify]: iters left: 2 (351 enodes) 581.136 * * [simplify]: Extracting #0: cost 1 inf + 0 581.136 * * [simplify]: Extracting #1: cost 61 inf + 0 581.137 * * [simplify]: Extracting #2: cost 132 inf + 0 581.138 * * [simplify]: Extracting #3: cost 144 inf + 0 581.139 * * [simplify]: Extracting #4: cost 150 inf + 163 581.140 * * [simplify]: Extracting #5: cost 147 inf + 810 581.142 * * [simplify]: Extracting #6: cost 140 inf + 1297 581.143 * * [simplify]: Extracting #7: cost 133 inf + 2487 581.145 * * [simplify]: Extracting #8: cost 130 inf + 2772 581.151 * * [simplify]: Extracting #9: cost 92 inf + 23874 581.180 * * [simplify]: Extracting #10: cost 15 inf + 74477 581.217 * * [simplify]: Extracting #11: cost 0 inf + 85231 581.239 * * [simplify]: Extracting #12: cost 0 inf + 85191 581.266 * [simplify]: Simplified to (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) 581.266 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 581.266 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 581.267 * * [simplify]: iters left: 6 (21 enodes) 581.277 * * [simplify]: iters left: 5 (70 enodes) 581.297 * * [simplify]: iters left: 4 (87 enodes) 581.323 * * [simplify]: iters left: 3 (110 enodes) 581.349 * * [simplify]: iters left: 2 (129 enodes) 581.368 * * [simplify]: iters left: 1 (148 enodes) 581.408 * * [simplify]: Extracting #0: cost 1 inf + 0 581.409 * * [simplify]: Extracting #1: cost 22 inf + 0 581.409 * * [simplify]: Extracting #2: cost 45 inf + 0 581.409 * * [simplify]: Extracting #3: cost 57 inf + 0 581.409 * * [simplify]: Extracting #4: cost 64 inf + 62 581.410 * * [simplify]: Extracting #5: cost 59 inf + 891 581.410 * * [simplify]: Extracting #6: cost 52 inf + 1338 581.412 * * [simplify]: Extracting #7: cost 34 inf + 6941 581.417 * * [simplify]: Extracting #8: cost 9 inf + 20681 581.425 * * [simplify]: Extracting #9: cost 0 inf + 25450 581.433 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 581.433 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (sqrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 581.433 * * * * [progress]: [ 980 / 2703 ] simplifiying candidate # 581.434 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 581.434 * * [simplify]: iters left: 6 (24 enodes) 581.445 * * [simplify]: iters left: 5 (82 enodes) 581.470 * * [simplify]: iters left: 4 (106 enodes) 581.502 * * [simplify]: iters left: 3 (151 enodes) 581.531 * * [simplify]: iters left: 2 (203 enodes) 581.585 * * [simplify]: iters left: 1 (266 enodes) 581.656 * * [simplify]: Extracting #0: cost 1 inf + 0 581.656 * * [simplify]: Extracting #1: cost 36 inf + 0 581.657 * * [simplify]: Extracting #2: cost 71 inf + 0 581.657 * * [simplify]: Extracting #3: cost 85 inf + 0 581.657 * * [simplify]: Extracting #4: cost 92 inf + 123 581.658 * * [simplify]: Extracting #5: cost 89 inf + 810 581.658 * * [simplify]: Extracting #6: cost 80 inf + 1640 581.659 * * [simplify]: Extracting #7: cost 50 inf + 12195 581.668 * * [simplify]: Extracting #8: cost 3 inf + 42377 581.684 * * [simplify]: Extracting #9: cost 0 inf + 44467 581.693 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (* (cbrt (sqrt (sqrt 2))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 581.693 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (* (cbrt (sqrt (sqrt 2))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 581.694 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 581.694 * * [simplify]: iters left: 6 (22 enodes) 581.699 * * [simplify]: iters left: 5 (73 enodes) 581.710 * * [simplify]: iters left: 4 (90 enodes) 581.726 * * [simplify]: iters left: 3 (113 enodes) 581.742 * * [simplify]: iters left: 2 (132 enodes) 581.760 * * [simplify]: iters left: 1 (151 enodes) 581.784 * * [simplify]: Extracting #0: cost 1 inf + 0 581.784 * * [simplify]: Extracting #1: cost 22 inf + 0 581.784 * * [simplify]: Extracting #2: cost 45 inf + 0 581.785 * * [simplify]: Extracting #3: cost 58 inf + 0 581.785 * * [simplify]: Extracting #4: cost 65 inf + 123 581.785 * * [simplify]: Extracting #5: cost 61 inf + 851 581.785 * * [simplify]: Extracting #6: cost 54 inf + 1338 581.786 * * [simplify]: Extracting #7: cost 34 inf + 7567 581.788 * * [simplify]: Extracting #8: cost 23 inf + 12781 581.791 * * [simplify]: Extracting #9: cost 7 inf + 22371 581.795 * * [simplify]: Extracting #10: cost 0 inf + 26334 581.801 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cos th))))) 581.801 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cos th))))))) 581.801 * * * * [progress]: [ 981 / 2703 ] simplifiying candidate # 581.801 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 581.801 * * [simplify]: iters left: 6 (22 enodes) 581.811 * * [simplify]: iters left: 5 (75 enodes) 581.834 * * [simplify]: iters left: 4 (99 enodes) 581.864 * * [simplify]: iters left: 3 (144 enodes) 581.887 * * [simplify]: iters left: 2 (196 enodes) 581.937 * * [simplify]: iters left: 1 (259 enodes) 581.993 * * [simplify]: Extracting #0: cost 1 inf + 0 581.993 * * [simplify]: Extracting #1: cost 41 inf + 0 581.993 * * [simplify]: Extracting #2: cost 77 inf + 0 581.994 * * [simplify]: Extracting #3: cost 89 inf + 0 581.995 * * [simplify]: Extracting #4: cost 96 inf + 62 581.995 * * [simplify]: Extracting #5: cost 93 inf + 589 581.996 * * [simplify]: Extracting #6: cost 80 inf + 1843 582.002 * * [simplify]: Extracting #7: cost 39 inf + 22754 582.017 * * [simplify]: Extracting #8: cost 0 inf + 46625 582.027 * [simplify]: Simplified to (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cos th)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 582.027 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cos th)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 582.027 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 582.027 * * [simplify]: iters left: 6 (21 enodes) 582.032 * * [simplify]: iters left: 5 (70 enodes) 582.043 * * [simplify]: iters left: 4 (87 enodes) 582.057 * * [simplify]: iters left: 3 (110 enodes) 582.073 * * [simplify]: iters left: 2 (129 enodes) 582.095 * * [simplify]: iters left: 1 (148 enodes) 582.132 * * [simplify]: Extracting #0: cost 1 inf + 0 582.132 * * [simplify]: Extracting #1: cost 22 inf + 0 582.132 * * [simplify]: Extracting #2: cost 45 inf + 0 582.133 * * [simplify]: Extracting #3: cost 57 inf + 0 582.133 * * [simplify]: Extracting #4: cost 64 inf + 62 582.133 * * [simplify]: Extracting #5: cost 59 inf + 891 582.133 * * [simplify]: Extracting #6: cost 52 inf + 1338 582.134 * * [simplify]: Extracting #7: cost 34 inf + 6941 582.137 * * [simplify]: Extracting #8: cost 9 inf + 20081 582.141 * * [simplify]: Extracting #9: cost 0 inf + 24570 582.145 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 582.145 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 582.145 * * * * [progress]: [ 982 / 2703 ] simplifiying candidate # 582.146 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 582.146 * * [simplify]: iters left: 6 (23 enodes) 582.153 * * [simplify]: iters left: 5 (80 enodes) 582.165 * * [simplify]: iters left: 4 (96 enodes) 582.180 * * [simplify]: iters left: 3 (125 enodes) 582.203 * * [simplify]: iters left: 2 (166 enodes) 582.243 * * [simplify]: iters left: 1 (229 enodes) 582.311 * * [simplify]: Extracting #0: cost 1 inf + 0 582.311 * * [simplify]: Extracting #1: cost 29 inf + 0 582.312 * * [simplify]: Extracting #2: cost 49 inf + 1 582.312 * * [simplify]: Extracting #3: cost 59 inf + 1 582.313 * * [simplify]: Extracting #4: cost 65 inf + 63 582.313 * * [simplify]: Extracting #5: cost 58 inf + 933 582.314 * * [simplify]: Extracting #6: cost 56 inf + 2102 582.315 * * [simplify]: Extracting #7: cost 49 inf + 3112 582.317 * * [simplify]: Extracting #8: cost 34 inf + 7911 582.327 * * [simplify]: Extracting #9: cost 5 inf + 25640 582.340 * * [simplify]: Extracting #10: cost 0 inf + 28799 582.352 * [simplify]: Simplified to (/ (sqrt (cos th)) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2))))) 582.352 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 582.353 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 582.353 * * [simplify]: iters left: 6 (20 enodes) 582.362 * * [simplify]: iters left: 5 (67 enodes) 582.383 * * [simplify]: iters left: 4 (84 enodes) 582.408 * * [simplify]: iters left: 3 (107 enodes) 582.427 * * [simplify]: iters left: 2 (126 enodes) 582.446 * * [simplify]: iters left: 1 (145 enodes) 582.468 * * [simplify]: Extracting #0: cost 1 inf + 0 582.468 * * [simplify]: Extracting #1: cost 21 inf + 0 582.468 * * [simplify]: Extracting #2: cost 44 inf + 0 582.468 * * [simplify]: Extracting #3: cost 57 inf + 0 582.468 * * [simplify]: Extracting #4: cost 65 inf + 62 582.469 * * [simplify]: Extracting #5: cost 50 inf + 1137 582.470 * * [simplify]: Extracting #6: cost 30 inf + 7465 582.475 * * [simplify]: Extracting #7: cost 4 inf + 20128 582.483 * * [simplify]: Extracting #8: cost 0 inf + 22622 582.490 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 582.490 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 582.491 * * * * [progress]: [ 983 / 2703 ] simplifiying candidate # 582.491 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 582.491 * * [simplify]: iters left: 6 (22 enodes) 582.498 * * [simplify]: iters left: 5 (75 enodes) 582.511 * * [simplify]: iters left: 4 (99 enodes) 582.529 * * [simplify]: iters left: 3 (144 enodes) 582.557 * * [simplify]: iters left: 2 (196 enodes) 582.595 * * [simplify]: iters left: 1 (259 enodes) 582.665 * * [simplify]: Extracting #0: cost 1 inf + 0 582.665 * * [simplify]: Extracting #1: cost 41 inf + 0 582.665 * * [simplify]: Extracting #2: cost 77 inf + 0 582.666 * * [simplify]: Extracting #3: cost 89 inf + 0 582.667 * * [simplify]: Extracting #4: cost 96 inf + 62 582.667 * * [simplify]: Extracting #5: cost 93 inf + 589 582.668 * * [simplify]: Extracting #6: cost 80 inf + 1843 582.674 * * [simplify]: Extracting #7: cost 39 inf + 22754 582.691 * * [simplify]: Extracting #8: cost 0 inf + 46625 582.711 * [simplify]: Simplified to (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cos th)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 582.711 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cos th)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 582.711 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 582.711 * * [simplify]: iters left: 6 (21 enodes) 582.716 * * [simplify]: iters left: 5 (70 enodes) 582.727 * * [simplify]: iters left: 4 (87 enodes) 582.742 * * [simplify]: iters left: 3 (110 enodes) 582.773 * * [simplify]: iters left: 2 (129 enodes) 582.807 * * [simplify]: iters left: 1 (148 enodes) 582.852 * * [simplify]: Extracting #0: cost 1 inf + 0 582.852 * * [simplify]: Extracting #1: cost 22 inf + 0 582.852 * * [simplify]: Extracting #2: cost 45 inf + 0 582.852 * * [simplify]: Extracting #3: cost 57 inf + 0 582.852 * * [simplify]: Extracting #4: cost 64 inf + 62 582.853 * * [simplify]: Extracting #5: cost 59 inf + 891 582.853 * * [simplify]: Extracting #6: cost 52 inf + 1338 582.854 * * [simplify]: Extracting #7: cost 34 inf + 6941 582.857 * * [simplify]: Extracting #8: cost 9 inf + 20081 582.861 * * [simplify]: Extracting #9: cost 0 inf + 24570 582.865 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 582.865 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 582.866 * * * * [progress]: [ 984 / 2703 ] simplifiying candidate # 582.866 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 582.866 * * [simplify]: iters left: 6 (22 enodes) 582.871 * * [simplify]: iters left: 5 (75 enodes) 582.884 * * [simplify]: iters left: 4 (93 enodes) 582.899 * * [simplify]: iters left: 3 (123 enodes) 582.934 * * [simplify]: iters left: 2 (169 enodes) 582.972 * * [simplify]: iters left: 1 (237 enodes) 583.046 * * [simplify]: Extracting #0: cost 1 inf + 0 583.046 * * [simplify]: Extracting #1: cost 24 inf + 0 583.047 * * [simplify]: Extracting #2: cost 46 inf + 1 583.047 * * [simplify]: Extracting #3: cost 56 inf + 1 583.048 * * [simplify]: Extracting #4: cost 62 inf + 63 583.048 * * [simplify]: Extracting #5: cost 55 inf + 973 583.049 * * [simplify]: Extracting #6: cost 53 inf + 1961 583.050 * * [simplify]: Extracting #7: cost 46 inf + 3112 583.052 * * [simplify]: Extracting #8: cost 42 inf + 3357 583.054 * * [simplify]: Extracting #9: cost 28 inf + 10021 583.063 * * [simplify]: Extracting #10: cost 5 inf + 23766 583.069 * * [simplify]: Extracting #11: cost 0 inf + 26765 583.075 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 583.075 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 583.076 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 583.076 * * [simplify]: iters left: 6 (20 enodes) 583.081 * * [simplify]: iters left: 5 (67 enodes) 583.091 * * [simplify]: iters left: 4 (84 enodes) 583.113 * * [simplify]: iters left: 3 (107 enodes) 583.146 * * [simplify]: iters left: 2 (126 enodes) 583.165 * * [simplify]: iters left: 1 (145 enodes) 583.187 * * [simplify]: Extracting #0: cost 1 inf + 0 583.188 * * [simplify]: Extracting #1: cost 21 inf + 0 583.188 * * [simplify]: Extracting #2: cost 44 inf + 0 583.188 * * [simplify]: Extracting #3: cost 57 inf + 0 583.188 * * [simplify]: Extracting #4: cost 65 inf + 62 583.189 * * [simplify]: Extracting #5: cost 50 inf + 1137 583.191 * * [simplify]: Extracting #6: cost 30 inf + 7465 583.196 * * [simplify]: Extracting #7: cost 4 inf + 20128 583.204 * * [simplify]: Extracting #8: cost 0 inf + 22622 583.211 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 583.212 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (sqrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 583.212 * * * * [progress]: [ 985 / 2703 ] simplifiying candidate # 583.212 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 583.213 * * [simplify]: iters left: 6 (24 enodes) 583.224 * * [simplify]: iters left: 5 (85 enodes) 583.254 * * [simplify]: iters left: 4 (119 enodes) 583.291 * * [simplify]: iters left: 3 (186 enodes) 583.363 * * [simplify]: iters left: 2 (346 enodes) 583.509 * * [simplify]: Extracting #0: cost 1 inf + 0 583.509 * * [simplify]: Extracting #1: cost 47 inf + 0 583.510 * * [simplify]: Extracting #2: cost 107 inf + 1 583.510 * * [simplify]: Extracting #3: cost 117 inf + 1 583.511 * * [simplify]: Extracting #4: cost 123 inf + 63 583.512 * * [simplify]: Extracting #5: cost 125 inf + 468 583.513 * * [simplify]: Extracting #6: cost 119 inf + 794 583.515 * * [simplify]: Extracting #7: cost 91 inf + 9665 583.529 * * [simplify]: Extracting #8: cost 24 inf + 45539 583.550 * * [simplify]: Extracting #9: cost 0 inf + 59927 583.565 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 583.565 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 583.566 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 583.566 * * [simplify]: iters left: 6 (19 enodes) 583.571 * * [simplify]: iters left: 5 (64 enodes) 583.582 * * [simplify]: iters left: 4 (81 enodes) 583.606 * * [simplify]: iters left: 3 (104 enodes) 583.623 * * [simplify]: iters left: 2 (123 enodes) 583.640 * * [simplify]: iters left: 1 (142 enodes) 583.674 * * [simplify]: Extracting #0: cost 1 inf + 0 583.674 * * [simplify]: Extracting #1: cost 21 inf + 0 583.674 * * [simplify]: Extracting #2: cost 44 inf + 0 583.674 * * [simplify]: Extracting #3: cost 55 inf + 0 583.674 * * [simplify]: Extracting #4: cost 53 inf + 488 583.675 * * [simplify]: Extracting #5: cost 50 inf + 1758 583.675 * * [simplify]: Extracting #6: cost 46 inf + 2063 583.676 * * [simplify]: Extracting #7: cost 33 inf + 5533 583.678 * * [simplify]: Extracting #8: cost 6 inf + 19162 583.682 * * [simplify]: Extracting #9: cost 0 inf + 22382 583.686 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 583.686 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 583.686 * * * * [progress]: [ 986 / 2703 ] simplifiying candidate # 583.686 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 583.686 * * [simplify]: iters left: 6 (25 enodes) 583.693 * * [simplify]: iters left: 5 (87 enodes) 583.717 * * [simplify]: iters left: 4 (113 enodes) 583.752 * * [simplify]: iters left: 3 (152 enodes) 583.796 * * [simplify]: iters left: 2 (228 enodes) 583.835 * * [simplify]: iters left: 1 (333 enodes) 583.891 * * [simplify]: Extracting #0: cost 1 inf + 0 583.891 * * [simplify]: Extracting #1: cost 21 inf + 0 583.891 * * [simplify]: Extracting #2: cost 40 inf + 1 583.891 * * [simplify]: Extracting #3: cost 51 inf + 1 583.892 * * [simplify]: Extracting #4: cost 58 inf + 63 583.892 * * [simplify]: Extracting #5: cost 61 inf + 367 583.892 * * [simplify]: Extracting #6: cost 50 inf + 958 583.894 * * [simplify]: Extracting #7: cost 26 inf + 10504 583.902 * * [simplify]: Extracting #8: cost 2 inf + 21960 583.911 * * [simplify]: Extracting #9: cost 0 inf + 23250 583.917 * [simplify]: Simplified to (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 583.918 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 583.918 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 583.918 * * [simplify]: iters left: 6 (20 enodes) 583.924 * * [simplify]: iters left: 5 (67 enodes) 583.936 * * [simplify]: iters left: 4 (84 enodes) 583.949 * * [simplify]: iters left: 3 (107 enodes) 583.976 * * [simplify]: iters left: 2 (126 enodes) 584.002 * * [simplify]: iters left: 1 (145 enodes) 584.024 * * [simplify]: Extracting #0: cost 1 inf + 0 584.024 * * [simplify]: Extracting #1: cost 21 inf + 0 584.024 * * [simplify]: Extracting #2: cost 44 inf + 0 584.024 * * [simplify]: Extracting #3: cost 56 inf + 0 584.025 * * [simplify]: Extracting #4: cost 56 inf + 507 584.025 * * [simplify]: Extracting #5: cost 53 inf + 1496 584.026 * * [simplify]: Extracting #6: cost 48 inf + 2063 584.028 * * [simplify]: Extracting #7: cost 29 inf + 8495 584.031 * * [simplify]: Extracting #8: cost 20 inf + 12161 584.037 * * [simplify]: Extracting #9: cost 2 inf + 22480 584.047 * * [simplify]: Extracting #10: cost 0 inf + 23266 584.055 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (sqrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) 584.055 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (sqrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))))) 584.055 * * * * [progress]: [ 987 / 2703 ] simplifiying candidate # 584.056 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 584.056 * * [simplify]: iters left: 6 (23 enodes) 584.067 * * [simplify]: iters left: 5 (80 enodes) 584.094 * * [simplify]: iters left: 4 (106 enodes) 584.125 * * [simplify]: iters left: 3 (145 enodes) 584.152 * * [simplify]: iters left: 2 (221 enodes) 584.200 * * [simplify]: iters left: 1 (314 enodes) 584.272 * * [simplify]: Extracting #0: cost 1 inf + 0 584.272 * * [simplify]: Extracting #1: cost 24 inf + 0 584.272 * * [simplify]: Extracting #2: cost 50 inf + 1 584.273 * * [simplify]: Extracting #3: cost 59 inf + 1 584.273 * * [simplify]: Extracting #4: cost 65 inf + 63 584.274 * * [simplify]: Extracting #5: cost 67 inf + 468 584.274 * * [simplify]: Extracting #6: cost 58 inf + 1117 584.275 * * [simplify]: Extracting #7: cost 54 inf + 1281 584.277 * * [simplify]: Extracting #8: cost 43 inf + 6338 584.283 * * [simplify]: Extracting #9: cost 18 inf + 18202 584.293 * * [simplify]: Extracting #10: cost 3 inf + 25992 584.305 * * [simplify]: Extracting #11: cost 0 inf + 27101 584.316 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 584.316 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 584.317 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 584.317 * * [simplify]: iters left: 6 (19 enodes) 584.322 * * [simplify]: iters left: 5 (64 enodes) 584.332 * * [simplify]: iters left: 4 (81 enodes) 584.345 * * [simplify]: iters left: 3 (104 enodes) 584.375 * * [simplify]: iters left: 2 (123 enodes) 584.409 * * [simplify]: iters left: 1 (142 enodes) 584.449 * * [simplify]: Extracting #0: cost 1 inf + 0 584.449 * * [simplify]: Extracting #1: cost 21 inf + 0 584.449 * * [simplify]: Extracting #2: cost 44 inf + 0 584.449 * * [simplify]: Extracting #3: cost 55 inf + 0 584.450 * * [simplify]: Extracting #4: cost 53 inf + 488 584.450 * * [simplify]: Extracting #5: cost 50 inf + 1758 584.451 * * [simplify]: Extracting #6: cost 46 inf + 2063 584.452 * * [simplify]: Extracting #7: cost 33 inf + 5453 584.457 * * [simplify]: Extracting #8: cost 6 inf + 18442 584.465 * * [simplify]: Extracting #9: cost 0 inf + 21502 584.472 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 584.473 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 584.473 * * * * [progress]: [ 988 / 2703 ] simplifiying candidate # 584.473 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt 1))) 584.474 * * [simplify]: iters left: 6 (22 enodes) 584.486 * * [simplify]: iters left: 5 (77 enodes) 584.500 * * [simplify]: iters left: 4 (93 enodes) 584.517 * * [simplify]: iters left: 3 (105 enodes) 584.539 * * [simplify]: iters left: 2 (127 enodes) 584.560 * * [simplify]: iters left: 1 (169 enodes) 584.609 * * [simplify]: Extracting #0: cost 1 inf + 0 584.609 * * [simplify]: Extracting #1: cost 12 inf + 0 584.609 * * [simplify]: Extracting #2: cost 22 inf + 1 584.610 * * [simplify]: Extracting #3: cost 30 inf + 1 584.610 * * [simplify]: Extracting #4: cost 34 inf + 124 584.610 * * [simplify]: Extracting #5: cost 35 inf + 610 584.611 * * [simplify]: Extracting #6: cost 35 inf + 814 584.612 * * [simplify]: Extracting #7: cost 29 inf + 1300 584.613 * * [simplify]: Extracting #8: cost 16 inf + 5113 584.618 * * [simplify]: Extracting #9: cost 5 inf + 10030 584.624 * * [simplify]: Extracting #10: cost 0 inf + 12709 584.631 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 584.631 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 584.631 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 584.632 * * [simplify]: iters left: 6 (18 enodes) 584.640 * * [simplify]: iters left: 5 (61 enodes) 584.659 * * [simplify]: iters left: 4 (77 enodes) 584.683 * * [simplify]: iters left: 3 (98 enodes) 584.711 * * [simplify]: iters left: 2 (116 enodes) 584.737 * * [simplify]: iters left: 1 (133 enodes) 584.759 * * [simplify]: Extracting #0: cost 1 inf + 0 584.759 * * [simplify]: Extracting #1: cost 22 inf + 0 584.759 * * [simplify]: Extracting #2: cost 45 inf + 0 584.759 * * [simplify]: Extracting #3: cost 55 inf + 0 584.760 * * [simplify]: Extracting #4: cost 53 inf + 427 584.760 * * [simplify]: Extracting #5: cost 42 inf + 1580 584.762 * * [simplify]: Extracting #6: cost 24 inf + 7710 584.767 * * [simplify]: Extracting #7: cost 5 inf + 16994 584.774 * * [simplify]: Extracting #8: cost 0 inf + 19630 584.781 * [simplify]: Simplified to (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 584.781 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 584.782 * * * * [progress]: [ 989 / 2703 ] simplifiying candidate # 584.782 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 584.782 * * [simplify]: iters left: 6 (23 enodes) 584.793 * * [simplify]: iters left: 5 (80 enodes) 584.819 * * [simplify]: iters left: 4 (106 enodes) 584.842 * * [simplify]: iters left: 3 (145 enodes) 584.877 * * [simplify]: iters left: 2 (221 enodes) 584.928 * * [simplify]: iters left: 1 (314 enodes) 584.996 * * [simplify]: Extracting #0: cost 1 inf + 0 584.996 * * [simplify]: Extracting #1: cost 24 inf + 0 584.996 * * [simplify]: Extracting #2: cost 50 inf + 1 584.996 * * [simplify]: Extracting #3: cost 59 inf + 1 584.997 * * [simplify]: Extracting #4: cost 65 inf + 63 584.997 * * [simplify]: Extracting #5: cost 67 inf + 468 584.997 * * [simplify]: Extracting #6: cost 58 inf + 1117 584.998 * * [simplify]: Extracting #7: cost 54 inf + 1281 584.999 * * [simplify]: Extracting #8: cost 43 inf + 6338 585.005 * * [simplify]: Extracting #9: cost 18 inf + 18202 585.015 * * [simplify]: Extracting #10: cost 3 inf + 25992 585.026 * * [simplify]: Extracting #11: cost 0 inf + 27101 585.037 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) 585.037 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 585.038 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 585.038 * * [simplify]: iters left: 6 (19 enodes) 585.047 * * [simplify]: iters left: 5 (64 enodes) 585.069 * * [simplify]: iters left: 4 (81 enodes) 585.088 * * [simplify]: iters left: 3 (104 enodes) 585.103 * * [simplify]: iters left: 2 (123 enodes) 585.123 * * [simplify]: iters left: 1 (142 enodes) 585.155 * * [simplify]: Extracting #0: cost 1 inf + 0 585.155 * * [simplify]: Extracting #1: cost 21 inf + 0 585.155 * * [simplify]: Extracting #2: cost 44 inf + 0 585.155 * * [simplify]: Extracting #3: cost 55 inf + 0 585.156 * * [simplify]: Extracting #4: cost 53 inf + 488 585.156 * * [simplify]: Extracting #5: cost 50 inf + 1758 585.156 * * [simplify]: Extracting #6: cost 46 inf + 2063 585.158 * * [simplify]: Extracting #7: cost 33 inf + 5453 585.161 * * [simplify]: Extracting #8: cost 6 inf + 18442 585.164 * * [simplify]: Extracting #9: cost 0 inf + 21502 585.168 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 585.168 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 585.169 * * * * [progress]: [ 990 / 2703 ] simplifiying candidate # 585.169 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 1)) 1)) 585.169 * * [simplify]: iters left: 6 (22 enodes) 585.177 * * [simplify]: iters left: 5 (75 enodes) 585.200 * * [simplify]: iters left: 4 (87 enodes) 585.224 * * [simplify]: iters left: 3 (99 enodes) 585.254 * * [simplify]: iters left: 2 (116 enodes) 585.289 * * [simplify]: iters left: 1 (153 enodes) 585.328 * * [simplify]: Extracting #0: cost 1 inf + 0 585.328 * * [simplify]: Extracting #1: cost 13 inf + 0 585.328 * * [simplify]: Extracting #2: cost 23 inf + 1 585.328 * * [simplify]: Extracting #3: cost 31 inf + 1 585.329 * * [simplify]: Extracting #4: cost 36 inf + 63 585.329 * * [simplify]: Extracting #5: cost 37 inf + 468 585.329 * * [simplify]: Extracting #6: cost 37 inf + 773 585.329 * * [simplify]: Extracting #7: cost 30 inf + 1180 585.330 * * [simplify]: Extracting #8: cost 17 inf + 4851 585.335 * * [simplify]: Extracting #9: cost 2 inf + 12325 585.342 * * [simplify]: Extracting #10: cost 0 inf + 13333 585.349 * [simplify]: Simplified to (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 585.349 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 585.350 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 585.350 * * [simplify]: iters left: 6 (18 enodes) 585.359 * * [simplify]: iters left: 5 (61 enodes) 585.368 * * [simplify]: iters left: 4 (77 enodes) 585.380 * * [simplify]: iters left: 3 (98 enodes) 585.410 * * [simplify]: iters left: 2 (116 enodes) 585.434 * * [simplify]: iters left: 1 (133 enodes) 585.454 * * [simplify]: Extracting #0: cost 1 inf + 0 585.454 * * [simplify]: Extracting #1: cost 22 inf + 0 585.454 * * [simplify]: Extracting #2: cost 45 inf + 0 585.455 * * [simplify]: Extracting #3: cost 55 inf + 0 585.455 * * [simplify]: Extracting #4: cost 53 inf + 427 585.455 * * [simplify]: Extracting #5: cost 42 inf + 1580 585.456 * * [simplify]: Extracting #6: cost 24 inf + 7710 585.459 * * [simplify]: Extracting #7: cost 5 inf + 16994 585.462 * * [simplify]: Extracting #8: cost 0 inf + 19630 585.465 * [simplify]: Simplified to (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 585.465 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 585.466 * * * * [progress]: [ 991 / 2703 ] simplifiying candidate # 585.466 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 585.466 * * [simplify]: iters left: 6 (23 enodes) 585.472 * * [simplify]: iters left: 5 (80 enodes) 585.498 * * [simplify]: iters left: 4 (112 enodes) 585.538 * * [simplify]: iters left: 3 (186 enodes) 585.609 * * [simplify]: iters left: 2 (351 enodes) 585.732 * * [simplify]: Extracting #0: cost 1 inf + 0 585.732 * * [simplify]: Extracting #1: cost 61 inf + 0 585.733 * * [simplify]: Extracting #2: cost 132 inf + 0 585.733 * * [simplify]: Extracting #3: cost 144 inf + 0 585.734 * * [simplify]: Extracting #4: cost 150 inf + 163 585.734 * * [simplify]: Extracting #5: cost 147 inf + 810 585.735 * * [simplify]: Extracting #6: cost 140 inf + 1297 585.736 * * [simplify]: Extracting #7: cost 133 inf + 2487 585.737 * * [simplify]: Extracting #8: cost 130 inf + 2772 585.742 * * [simplify]: Extracting #9: cost 92 inf + 23874 585.763 * * [simplify]: Extracting #10: cost 15 inf + 74477 585.782 * * [simplify]: Extracting #11: cost 0 inf + 85231 585.803 * * [simplify]: Extracting #12: cost 0 inf + 85191 585.824 * [simplify]: Simplified to (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) 585.824 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 585.825 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 585.825 * * [simplify]: iters left: 6 (21 enodes) 585.833 * * [simplify]: iters left: 5 (70 enodes) 585.848 * * [simplify]: iters left: 4 (87 enodes) 585.861 * * [simplify]: iters left: 3 (110 enodes) 585.882 * * [simplify]: iters left: 2 (129 enodes) 585.910 * * [simplify]: iters left: 1 (148 enodes) 585.933 * * [simplify]: Extracting #0: cost 1 inf + 0 585.933 * * [simplify]: Extracting #1: cost 22 inf + 0 585.933 * * [simplify]: Extracting #2: cost 45 inf + 0 585.933 * * [simplify]: Extracting #3: cost 57 inf + 0 585.934 * * [simplify]: Extracting #4: cost 64 inf + 62 585.934 * * [simplify]: Extracting #5: cost 59 inf + 891 585.934 * * [simplify]: Extracting #6: cost 52 inf + 1338 585.936 * * [simplify]: Extracting #7: cost 34 inf + 6941 585.941 * * [simplify]: Extracting #8: cost 9 inf + 20681 585.950 * * [simplify]: Extracting #9: cost 0 inf + 25450 585.957 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 585.957 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (sqrt (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 585.958 * * * * [progress]: [ 992 / 2703 ] simplifiying candidate # 585.958 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 585.959 * * [simplify]: iters left: 6 (24 enodes) 585.968 * * [simplify]: iters left: 5 (82 enodes) 585.980 * * [simplify]: iters left: 4 (106 enodes) 585.998 * * [simplify]: iters left: 3 (151 enodes) 586.045 * * [simplify]: iters left: 2 (203 enodes) 586.077 * * [simplify]: iters left: 1 (266 enodes) 586.141 * * [simplify]: Extracting #0: cost 1 inf + 0 586.142 * * [simplify]: Extracting #1: cost 36 inf + 0 586.142 * * [simplify]: Extracting #2: cost 71 inf + 0 586.142 * * [simplify]: Extracting #3: cost 85 inf + 0 586.143 * * [simplify]: Extracting #4: cost 92 inf + 123 586.144 * * [simplify]: Extracting #5: cost 89 inf + 810 586.145 * * [simplify]: Extracting #6: cost 80 inf + 1640 586.148 * * [simplify]: Extracting #7: cost 50 inf + 12195 586.163 * * [simplify]: Extracting #8: cost 3 inf + 42377 586.181 * * [simplify]: Extracting #9: cost 0 inf + 44467 586.199 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (* (cbrt (sqrt (sqrt 2))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) 586.199 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (* (cbrt (sqrt (sqrt 2))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 586.200 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 586.200 * * [simplify]: iters left: 6 (22 enodes) 586.210 * * [simplify]: iters left: 5 (73 enodes) 586.232 * * [simplify]: iters left: 4 (90 enodes) 586.259 * * [simplify]: iters left: 3 (113 enodes) 586.292 * * [simplify]: iters left: 2 (132 enodes) 586.310 * * [simplify]: iters left: 1 (151 enodes) 586.340 * * [simplify]: Extracting #0: cost 1 inf + 0 586.340 * * [simplify]: Extracting #1: cost 22 inf + 0 586.341 * * [simplify]: Extracting #2: cost 45 inf + 0 586.341 * * [simplify]: Extracting #3: cost 58 inf + 0 586.341 * * [simplify]: Extracting #4: cost 65 inf + 123 586.341 * * [simplify]: Extracting #5: cost 61 inf + 851 586.341 * * [simplify]: Extracting #6: cost 54 inf + 1338 586.342 * * [simplify]: Extracting #7: cost 34 inf + 7567 586.344 * * [simplify]: Extracting #8: cost 23 inf + 12781 586.347 * * [simplify]: Extracting #9: cost 7 inf + 22371 586.351 * * [simplify]: Extracting #10: cost 0 inf + 26334 586.355 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cos th))))) 586.355 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cos th))))))) 586.356 * * * * [progress]: [ 993 / 2703 ] simplifiying candidate # 586.356 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 586.356 * * [simplify]: iters left: 6 (22 enodes) 586.361 * * [simplify]: iters left: 5 (75 enodes) 586.385 * * [simplify]: iters left: 4 (99 enodes) 586.416 * * [simplify]: iters left: 3 (144 enodes) 586.441 * * [simplify]: iters left: 2 (196 enodes) 586.489 * * [simplify]: iters left: 1 (259 enodes) 586.577 * * [simplify]: Extracting #0: cost 1 inf + 0 586.577 * * [simplify]: Extracting #1: cost 41 inf + 0 586.578 * * [simplify]: Extracting #2: cost 77 inf + 0 586.578 * * [simplify]: Extracting #3: cost 89 inf + 0 586.579 * * [simplify]: Extracting #4: cost 96 inf + 62 586.580 * * [simplify]: Extracting #5: cost 93 inf + 589 586.581 * * [simplify]: Extracting #6: cost 80 inf + 1843 586.586 * * [simplify]: Extracting #7: cost 39 inf + 22754 586.603 * * [simplify]: Extracting #8: cost 0 inf + 46625 586.624 * [simplify]: Simplified to (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cos th)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 586.624 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cos th)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 586.624 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 586.625 * * [simplify]: iters left: 6 (21 enodes) 586.634 * * [simplify]: iters left: 5 (70 enodes) 586.655 * * [simplify]: iters left: 4 (87 enodes) 586.681 * * [simplify]: iters left: 3 (110 enodes) 586.700 * * [simplify]: iters left: 2 (129 enodes) 586.718 * * [simplify]: iters left: 1 (148 enodes) 586.752 * * [simplify]: Extracting #0: cost 1 inf + 0 586.752 * * [simplify]: Extracting #1: cost 22 inf + 0 586.752 * * [simplify]: Extracting #2: cost 45 inf + 0 586.753 * * [simplify]: Extracting #3: cost 57 inf + 0 586.753 * * [simplify]: Extracting #4: cost 64 inf + 62 586.753 * * [simplify]: Extracting #5: cost 59 inf + 891 586.753 * * [simplify]: Extracting #6: cost 52 inf + 1338 586.754 * * [simplify]: Extracting #7: cost 34 inf + 6941 586.757 * * [simplify]: Extracting #8: cost 9 inf + 20081 586.761 * * [simplify]: Extracting #9: cost 0 inf + 24570 586.765 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 586.765 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 586.765 * * * * [progress]: [ 994 / 2703 ] simplifiying candidate # 586.765 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) 586.765 * * [simplify]: iters left: 6 (23 enodes) 586.772 * * [simplify]: iters left: 5 (80 enodes) 586.784 * * [simplify]: iters left: 4 (96 enodes) 586.798 * * [simplify]: iters left: 3 (125 enodes) 586.830 * * [simplify]: iters left: 2 (166 enodes) 586.883 * * [simplify]: iters left: 1 (229 enodes) 586.943 * * [simplify]: Extracting #0: cost 1 inf + 0 586.943 * * [simplify]: Extracting #1: cost 29 inf + 0 586.943 * * [simplify]: Extracting #2: cost 49 inf + 1 586.943 * * [simplify]: Extracting #3: cost 59 inf + 1 586.944 * * [simplify]: Extracting #4: cost 65 inf + 63 586.944 * * [simplify]: Extracting #5: cost 58 inf + 933 586.944 * * [simplify]: Extracting #6: cost 56 inf + 2102 586.945 * * [simplify]: Extracting #7: cost 49 inf + 3112 586.946 * * [simplify]: Extracting #8: cost 34 inf + 7911 586.951 * * [simplify]: Extracting #9: cost 5 inf + 25640 586.958 * * [simplify]: Extracting #10: cost 0 inf + 28799 586.971 * [simplify]: Simplified to (/ (sqrt (cos th)) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2))))) 586.971 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 586.972 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 586.972 * * [simplify]: iters left: 6 (20 enodes) 586.981 * * [simplify]: iters left: 5 (67 enodes) 587.002 * * [simplify]: iters left: 4 (84 enodes) 587.027 * * [simplify]: iters left: 3 (107 enodes) 587.061 * * [simplify]: iters left: 2 (126 enodes) 587.095 * * [simplify]: iters left: 1 (145 enodes) 587.135 * * [simplify]: Extracting #0: cost 1 inf + 0 587.135 * * [simplify]: Extracting #1: cost 21 inf + 0 587.136 * * [simplify]: Extracting #2: cost 44 inf + 0 587.136 * * [simplify]: Extracting #3: cost 57 inf + 0 587.136 * * [simplify]: Extracting #4: cost 65 inf + 62 587.137 * * [simplify]: Extracting #5: cost 50 inf + 1137 587.138 * * [simplify]: Extracting #6: cost 30 inf + 7465 587.144 * * [simplify]: Extracting #7: cost 4 inf + 20128 587.151 * * [simplify]: Extracting #8: cost 0 inf + 22622 587.159 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 587.159 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 587.159 * * * * [progress]: [ 995 / 2703 ] simplifiying candidate # 587.160 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 587.160 * * [simplify]: iters left: 6 (22 enodes) 587.170 * * [simplify]: iters left: 5 (75 enodes) 587.193 * * [simplify]: iters left: 4 (99 enodes) 587.227 * * [simplify]: iters left: 3 (144 enodes) 587.271 * * [simplify]: iters left: 2 (196 enodes) 587.329 * * [simplify]: iters left: 1 (259 enodes) 587.422 * * [simplify]: Extracting #0: cost 1 inf + 0 587.422 * * [simplify]: Extracting #1: cost 41 inf + 0 587.422 * * [simplify]: Extracting #2: cost 77 inf + 0 587.423 * * [simplify]: Extracting #3: cost 89 inf + 0 587.424 * * [simplify]: Extracting #4: cost 96 inf + 62 587.424 * * [simplify]: Extracting #5: cost 93 inf + 589 587.425 * * [simplify]: Extracting #6: cost 80 inf + 1843 587.430 * * [simplify]: Extracting #7: cost 39 inf + 22754 587.447 * * [simplify]: Extracting #8: cost 0 inf + 46625 587.466 * [simplify]: Simplified to (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cos th)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 587.466 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (cos th)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 587.467 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 587.467 * * [simplify]: iters left: 6 (21 enodes) 587.476 * * [simplify]: iters left: 5 (70 enodes) 587.500 * * [simplify]: iters left: 4 (87 enodes) 587.526 * * [simplify]: iters left: 3 (110 enodes) 587.557 * * [simplify]: iters left: 2 (129 enodes) 587.581 * * [simplify]: iters left: 1 (148 enodes) 587.606 * * [simplify]: Extracting #0: cost 1 inf + 0 587.607 * * [simplify]: Extracting #1: cost 22 inf + 0 587.609 * * [simplify]: Extracting #2: cost 45 inf + 0 587.609 * * [simplify]: Extracting #3: cost 57 inf + 0 587.609 * * [simplify]: Extracting #4: cost 64 inf + 62 587.610 * * [simplify]: Extracting #5: cost 59 inf + 891 587.610 * * [simplify]: Extracting #6: cost 52 inf + 1338 587.612 * * [simplify]: Extracting #7: cost 34 inf + 6941 587.617 * * [simplify]: Extracting #8: cost 9 inf + 20081 587.625 * * [simplify]: Extracting #9: cost 0 inf + 24570 587.633 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))) 587.633 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (sqrt 2))))))) 587.634 * * * * [progress]: [ 996 / 2703 ] simplifiying candidate # 587.634 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) 587.634 * * [simplify]: iters left: 6 (22 enodes) 587.640 * * [simplify]: iters left: 5 (75 enodes) 587.652 * * [simplify]: iters left: 4 (93 enodes) 587.668 * * [simplify]: iters left: 3 (123 enodes) 587.703 * * [simplify]: iters left: 2 (169 enodes) 587.748 * * [simplify]: iters left: 1 (237 enodes) 587.850 * * [simplify]: Extracting #0: cost 1 inf + 0 587.850 * * [simplify]: Extracting #1: cost 24 inf + 0 587.850 * * [simplify]: Extracting #2: cost 46 inf + 1 587.851 * * [simplify]: Extracting #3: cost 56 inf + 1 587.851 * * [simplify]: Extracting #4: cost 62 inf + 63 587.852 * * [simplify]: Extracting #5: cost 55 inf + 973 587.853 * * [simplify]: Extracting #6: cost 53 inf + 1961 587.854 * * [simplify]: Extracting #7: cost 46 inf + 3112 587.855 * * [simplify]: Extracting #8: cost 42 inf + 3357 587.858 * * [simplify]: Extracting #9: cost 28 inf + 10021 587.867 * * [simplify]: Extracting #10: cost 5 inf + 23766 587.879 * * [simplify]: Extracting #11: cost 0 inf + 26765 587.887 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 587.887 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 587.887 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 587.887 * * [simplify]: iters left: 6 (20 enodes) 587.892 * * [simplify]: iters left: 5 (67 enodes) 587.902 * * [simplify]: iters left: 4 (84 enodes) 587.916 * * [simplify]: iters left: 3 (107 enodes) 587.945 * * [simplify]: iters left: 2 (126 enodes) 587.967 * * [simplify]: iters left: 1 (145 enodes) 587.989 * * [simplify]: Extracting #0: cost 1 inf + 0 587.989 * * [simplify]: Extracting #1: cost 21 inf + 0 587.990 * * [simplify]: Extracting #2: cost 44 inf + 0 587.990 * * [simplify]: Extracting #3: cost 57 inf + 0 587.990 * * [simplify]: Extracting #4: cost 65 inf + 62 587.991 * * [simplify]: Extracting #5: cost 50 inf + 1137 587.993 * * [simplify]: Extracting #6: cost 30 inf + 7465 587.998 * * [simplify]: Extracting #7: cost 4 inf + 20128 588.006 * * [simplify]: Extracting #8: cost 0 inf + 22622 588.013 * [simplify]: Simplified to (/ (sqrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))) 588.013 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (sqrt (cos th)) (/ (* (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 588.014 * * * * [progress]: [ 997 / 2703 ] simplifiying candidate # 588.014 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 588.014 * * [simplify]: iters left: 6 (23 enodes) 588.027 * * [simplify]: iters left: 5 (82 enodes) 588.047 * * [simplify]: iters left: 4 (114 enodes) 588.068 * * [simplify]: iters left: 3 (197 enodes) 588.114 * * [simplify]: iters left: 2 (367 enodes) 588.303 * * [simplify]: Extracting #0: cost 1 inf + 0 588.303 * * [simplify]: Extracting #1: cost 41 inf + 0 588.303 * * [simplify]: Extracting #2: cost 90 inf + 1 588.304 * * [simplify]: Extracting #3: cost 99 inf + 1 588.304 * * [simplify]: Extracting #4: cost 103 inf + 265 588.305 * * [simplify]: Extracting #5: cost 107 inf + 468 588.305 * * [simplify]: Extracting #6: cost 100 inf + 835 588.307 * * [simplify]: Extracting #7: cost 57 inf + 17716 588.322 * * [simplify]: Extracting #8: cost 2 inf + 48994 588.346 * * [simplify]: Extracting #9: cost 0 inf + 50301 588.361 * [simplify]: Simplified to (/ (sqrt (cos th)) (* (/ (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) 588.361 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (/ (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 588.361 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 588.361 * * [simplify]: iters left: 6 (19 enodes) 588.366 * * [simplify]: iters left: 5 (64 enodes) 588.375 * * [simplify]: iters left: 4 (81 enodes) 588.395 * * [simplify]: iters left: 3 (104 enodes) 588.423 * * [simplify]: iters left: 2 (123 enodes) 588.457 * * [simplify]: iters left: 1 (142 enodes) 588.477 * * [simplify]: Extracting #0: cost 1 inf + 0 588.477 * * [simplify]: Extracting #1: cost 21 inf + 0 588.477 * * [simplify]: Extracting #2: cost 44 inf + 0 588.477 * * [simplify]: Extracting #3: cost 55 inf + 0 588.477 * * [simplify]: Extracting #4: cost 53 inf + 488 588.478 * * [simplify]: Extracting #5: cost 50 inf + 1758 588.478 * * [simplify]: Extracting #6: cost 46 inf + 2063 588.479 * * [simplify]: Extracting #7: cost 33 inf + 5533 588.481 * * [simplify]: Extracting #8: cost 6 inf + 19162 588.485 * * [simplify]: Extracting #9: cost 0 inf + 22382 588.489 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 588.489 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 588.489 * * * * [progress]: [ 998 / 2703 ] simplifiying candidate # 588.489 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 588.489 * * [simplify]: iters left: 6 (24 enodes) 588.501 * * [simplify]: iters left: 5 (84 enodes) 588.526 * * [simplify]: iters left: 4 (105 enodes) 588.558 * * [simplify]: iters left: 3 (137 enodes) 588.604 * * [simplify]: iters left: 2 (188 enodes) 588.640 * * [simplify]: iters left: 1 (265 enodes) 588.705 * * [simplify]: Extracting #0: cost 1 inf + 0 588.706 * * [simplify]: Extracting #1: cost 20 inf + 0 588.706 * * [simplify]: Extracting #2: cost 42 inf + 1 588.706 * * [simplify]: Extracting #3: cost 53 inf + 1 588.707 * * [simplify]: Extracting #4: cost 60 inf + 63 588.707 * * [simplify]: Extracting #5: cost 60 inf + 792 588.708 * * [simplify]: Extracting #6: cost 50 inf + 1482 588.710 * * [simplify]: Extracting #7: cost 34 inf + 6383 588.716 * * [simplify]: Extracting #8: cost 9 inf + 17844 588.725 * * [simplify]: Extracting #9: cost 0 inf + 23493 588.735 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 588.735 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 588.736 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 588.736 * * [simplify]: iters left: 6 (20 enodes) 588.742 * * [simplify]: iters left: 5 (67 enodes) 588.752 * * [simplify]: iters left: 4 (84 enodes) 588.768 * * [simplify]: iters left: 3 (107 enodes) 588.798 * * [simplify]: iters left: 2 (126 enodes) 588.816 * * [simplify]: iters left: 1 (145 enodes) 588.845 * * [simplify]: Extracting #0: cost 1 inf + 0 588.845 * * [simplify]: Extracting #1: cost 21 inf + 0 588.846 * * [simplify]: Extracting #2: cost 44 inf + 0 588.846 * * [simplify]: Extracting #3: cost 56 inf + 0 588.846 * * [simplify]: Extracting #4: cost 56 inf + 507 588.847 * * [simplify]: Extracting #5: cost 53 inf + 1496 588.848 * * [simplify]: Extracting #6: cost 48 inf + 2063 588.850 * * [simplify]: Extracting #7: cost 29 inf + 8495 588.853 * * [simplify]: Extracting #8: cost 20 inf + 12161 588.859 * * [simplify]: Extracting #9: cost 2 inf + 22480 588.866 * * [simplify]: Extracting #10: cost 0 inf + 23266 588.870 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (sqrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) 588.870 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (sqrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))))) 588.871 * * * * [progress]: [ 999 / 2703 ] simplifiying candidate # 588.871 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 588.871 * * [simplify]: iters left: 6 (22 enodes) 588.878 * * [simplify]: iters left: 5 (77 enodes) 588.893 * * [simplify]: iters left: 4 (98 enodes) 588.923 * * [simplify]: iters left: 3 (130 enodes) 588.967 * * [simplify]: iters left: 2 (183 enodes) 589.033 * * [simplify]: iters left: 1 (259 enodes) 589.094 * * [simplify]: Extracting #0: cost 1 inf + 0 589.094 * * [simplify]: Extracting #1: cost 20 inf + 0 589.094 * * [simplify]: Extracting #2: cost 41 inf + 1 589.094 * * [simplify]: Extracting #3: cost 50 inf + 1 589.095 * * [simplify]: Extracting #4: cost 56 inf + 63 589.095 * * [simplify]: Extracting #5: cost 56 inf + 792 589.096 * * [simplify]: Extracting #6: cost 46 inf + 1482 589.097 * * [simplify]: Extracting #7: cost 32 inf + 6199 589.105 * * [simplify]: Extracting #8: cost 2 inf + 20358 589.114 * * [simplify]: Extracting #9: cost 0 inf + 21405 589.126 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 589.126 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 589.127 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 589.127 * * [simplify]: iters left: 6 (19 enodes) 589.136 * * [simplify]: iters left: 5 (64 enodes) 589.157 * * [simplify]: iters left: 4 (81 enodes) 589.182 * * [simplify]: iters left: 3 (104 enodes) 589.211 * * [simplify]: iters left: 2 (123 enodes) 589.243 * * [simplify]: iters left: 1 (142 enodes) 589.280 * * [simplify]: Extracting #0: cost 1 inf + 0 589.280 * * [simplify]: Extracting #1: cost 21 inf + 0 589.280 * * [simplify]: Extracting #2: cost 44 inf + 0 589.280 * * [simplify]: Extracting #3: cost 55 inf + 0 589.280 * * [simplify]: Extracting #4: cost 53 inf + 488 589.280 * * [simplify]: Extracting #5: cost 50 inf + 1758 589.281 * * [simplify]: Extracting #6: cost 46 inf + 2063 589.282 * * [simplify]: Extracting #7: cost 33 inf + 5453 589.284 * * [simplify]: Extracting #8: cost 6 inf + 18442 589.288 * * [simplify]: Extracting #9: cost 0 inf + 21502 589.292 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 589.292 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 589.292 * * * * [progress]: [ 1000 / 2703 ] simplifiying candidate # 589.292 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt 1))) 589.292 * * [simplify]: iters left: 6 (22 enodes) 589.305 * * [simplify]: iters left: 5 (77 enodes) 589.328 * * [simplify]: iters left: 4 (89 enodes) 589.353 * * [simplify]: iters left: 3 (101 enodes) 589.383 * * [simplify]: iters left: 2 (118 enodes) 589.422 * * [simplify]: iters left: 1 (155 enodes) 589.466 * * [simplify]: Extracting #0: cost 1 inf + 0 589.466 * * [simplify]: Extracting #1: cost 13 inf + 0 589.466 * * [simplify]: Extracting #2: cost 23 inf + 1 589.466 * * [simplify]: Extracting #3: cost 31 inf + 1 589.467 * * [simplify]: Extracting #4: cost 36 inf + 63 589.467 * * [simplify]: Extracting #5: cost 37 inf + 468 589.467 * * [simplify]: Extracting #6: cost 35 inf + 935 589.467 * * [simplify]: Extracting #7: cost 31 inf + 1139 589.468 * * [simplify]: Extracting #8: cost 18 inf + 4850 589.471 * * [simplify]: Extracting #9: cost 3 inf + 11802 589.474 * * [simplify]: Extracting #10: cost 0 inf + 13333 589.477 * [simplify]: Simplified to (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 589.478 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 589.478 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 589.478 * * [simplify]: iters left: 6 (18 enodes) 589.482 * * [simplify]: iters left: 5 (61 enodes) 589.492 * * [simplify]: iters left: 4 (77 enodes) 589.514 * * [simplify]: iters left: 3 (98 enodes) 589.528 * * [simplify]: iters left: 2 (116 enodes) 589.546 * * [simplify]: iters left: 1 (133 enodes) 589.584 * * [simplify]: Extracting #0: cost 1 inf + 0 589.584 * * [simplify]: Extracting #1: cost 22 inf + 0 589.584 * * [simplify]: Extracting #2: cost 45 inf + 0 589.584 * * [simplify]: Extracting #3: cost 55 inf + 0 589.585 * * [simplify]: Extracting #4: cost 53 inf + 427 589.585 * * [simplify]: Extracting #5: cost 42 inf + 1580 589.587 * * [simplify]: Extracting #6: cost 24 inf + 7710 589.592 * * [simplify]: Extracting #7: cost 5 inf + 16994 589.598 * * [simplify]: Extracting #8: cost 0 inf + 19630 589.602 * [simplify]: Simplified to (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 589.602 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 589.602 * * * * [progress]: [ 1001 / 2703 ] simplifiying candidate # 589.602 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 589.603 * * [simplify]: iters left: 6 (22 enodes) 589.609 * * [simplify]: iters left: 5 (77 enodes) 589.623 * * [simplify]: iters left: 4 (98 enodes) 589.644 * * [simplify]: iters left: 3 (130 enodes) 589.666 * * [simplify]: iters left: 2 (183 enodes) 589.726 * * [simplify]: iters left: 1 (259 enodes) 589.817 * * [simplify]: Extracting #0: cost 1 inf + 0 589.817 * * [simplify]: Extracting #1: cost 20 inf + 0 589.817 * * [simplify]: Extracting #2: cost 41 inf + 1 589.818 * * [simplify]: Extracting #3: cost 50 inf + 1 589.818 * * [simplify]: Extracting #4: cost 56 inf + 63 589.819 * * [simplify]: Extracting #5: cost 56 inf + 792 589.819 * * [simplify]: Extracting #6: cost 46 inf + 1482 589.821 * * [simplify]: Extracting #7: cost 32 inf + 6199 589.828 * * [simplify]: Extracting #8: cost 2 inf + 20358 589.837 * * [simplify]: Extracting #9: cost 0 inf + 21405 589.847 * [simplify]: Simplified to (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 589.847 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 589.850 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 589.850 * * [simplify]: iters left: 6 (19 enodes) 589.859 * * [simplify]: iters left: 5 (64 enodes) 589.878 * * [simplify]: iters left: 4 (81 enodes) 589.902 * * [simplify]: iters left: 3 (104 enodes) 589.932 * * [simplify]: iters left: 2 (123 enodes) 589.964 * * [simplify]: iters left: 1 (142 enodes) 590.007 * * [simplify]: Extracting #0: cost 1 inf + 0 590.007 * * [simplify]: Extracting #1: cost 21 inf + 0 590.008 * * [simplify]: Extracting #2: cost 44 inf + 0 590.008 * * [simplify]: Extracting #3: cost 55 inf + 0 590.008 * * [simplify]: Extracting #4: cost 53 inf + 488 590.009 * * [simplify]: Extracting #5: cost 50 inf + 1758 590.009 * * [simplify]: Extracting #6: cost 46 inf + 2063 590.011 * * [simplify]: Extracting #7: cost 33 inf + 5453 590.016 * * [simplify]: Extracting #8: cost 6 inf + 18442 590.021 * * [simplify]: Extracting #9: cost 0 inf + 21502 590.024 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 590.024 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 590.025 * * * * [progress]: [ 1002 / 2703 ] simplifiying candidate # 590.025 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) 1)) 590.025 * * [simplify]: iters left: 6 (21 enodes) 590.032 * * [simplify]: iters left: 5 (72 enodes) 590.044 * * [simplify]: iters left: 4 (84 enodes) 590.067 * * [simplify]: iters left: 3 (96 enodes) 590.082 * * [simplify]: iters left: 2 (112 enodes) 590.107 * * [simplify]: iters left: 1 (149 enodes) 590.146 * * [simplify]: Extracting #0: cost 1 inf + 0 590.146 * * [simplify]: Extracting #1: cost 13 inf + 0 590.146 * * [simplify]: Extracting #2: cost 26 inf + 1 590.146 * * [simplify]: Extracting #3: cost 34 inf + 1 590.146 * * [simplify]: Extracting #4: cost 39 inf + 63 590.147 * * [simplify]: Extracting #5: cost 39 inf + 610 590.147 * * [simplify]: Extracting #6: cost 38 inf + 975 590.147 * * [simplify]: Extracting #7: cost 33 inf + 1300 590.148 * * [simplify]: Extracting #8: cost 17 inf + 6342 590.152 * * [simplify]: Extracting #9: cost 1 inf + 14623 590.156 * * [simplify]: Extracting #10: cost 0 inf + 15207 590.164 * [simplify]: Simplified to (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 590.164 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 590.165 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 590.165 * * [simplify]: iters left: 6 (18 enodes) 590.173 * * [simplify]: iters left: 5 (61 enodes) 590.192 * * [simplify]: iters left: 4 (77 enodes) 590.214 * * [simplify]: iters left: 3 (98 enodes) 590.244 * * [simplify]: iters left: 2 (116 enodes) 590.261 * * [simplify]: iters left: 1 (133 enodes) 590.280 * * [simplify]: Extracting #0: cost 1 inf + 0 590.280 * * [simplify]: Extracting #1: cost 22 inf + 0 590.280 * * [simplify]: Extracting #2: cost 45 inf + 0 590.280 * * [simplify]: Extracting #3: cost 55 inf + 0 590.281 * * [simplify]: Extracting #4: cost 53 inf + 427 590.281 * * [simplify]: Extracting #5: cost 42 inf + 1580 590.282 * * [simplify]: Extracting #6: cost 24 inf + 7710 590.285 * * [simplify]: Extracting #7: cost 5 inf + 16994 590.288 * * [simplify]: Extracting #8: cost 0 inf + 19630 590.293 * [simplify]: Simplified to (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 590.293 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt 1) 1)) (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 590.294 * * * * [progress]: [ 1003 / 2703 ] simplifiying candidate # 590.294 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 590.295 * * [simplify]: iters left: 6 (23 enodes) 590.306 * * [simplify]: iters left: 5 (84 enodes) 590.336 * * [simplify]: iters left: 4 (140 enodes) 590.390 * * [simplify]: iters left: 3 (297 enodes) 590.535 * * [simplify]: Extracting #0: cost 1 inf + 0 590.535 * * [simplify]: Extracting #1: cost 79 inf + 0 590.536 * * [simplify]: Extracting #2: cost 174 inf + 0 590.537 * * [simplify]: Extracting #3: cost 184 inf + 0 590.537 * * [simplify]: Extracting #4: cost 187 inf + 325 590.538 * * [simplify]: Extracting #5: cost 181 inf + 1756 590.539 * * [simplify]: Extracting #6: cost 173 inf + 3006 590.541 * * [simplify]: Extracting #7: cost 148 inf + 13334 590.563 * * [simplify]: Extracting #8: cost 21 inf + 99968 590.613 * * [simplify]: Extracting #9: cost 0 inf + 115465 590.661 * * [simplify]: Extracting #10: cost 0 inf + 115345 590.711 * [simplify]: Simplified to (/ (sqrt (cos th)) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) 590.711 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 590.712 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 590.712 * * [simplify]: iters left: 6 (20 enodes) 590.721 * * [simplify]: iters left: 5 (67 enodes) 590.741 * * [simplify]: iters left: 4 (84 enodes) 590.768 * * [simplify]: iters left: 3 (107 enodes) 590.783 * * [simplify]: iters left: 2 (126 enodes) 590.800 * * [simplify]: iters left: 1 (145 enodes) 590.839 * * [simplify]: Extracting #0: cost 1 inf + 0 590.839 * * [simplify]: Extracting #1: cost 21 inf + 0 590.839 * * [simplify]: Extracting #2: cost 44 inf + 0 590.840 * * [simplify]: Extracting #3: cost 55 inf + 0 590.840 * * [simplify]: Extracting #4: cost 61 inf + 62 590.840 * * [simplify]: Extracting #5: cost 53 inf + 1515 590.841 * * [simplify]: Extracting #6: cost 47 inf + 2443 590.843 * * [simplify]: Extracting #7: cost 29 inf + 8308 590.849 * * [simplify]: Extracting #8: cost 3 inf + 22995 590.853 * * [simplify]: Extracting #9: cost 0 inf + 24544 590.858 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 590.858 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 590.858 * * * * [progress]: [ 1004 / 2703 ] simplifiying candidate # 590.859 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 590.859 * * [simplify]: iters left: 6 (24 enodes) 590.865 * * [simplify]: iters left: 5 (84 enodes) 590.878 * * [simplify]: iters left: 4 (117 enodes) 590.908 * * [simplify]: iters left: 3 (202 enodes) 590.991 * * [simplify]: iters left: 2 (388 enodes) 591.123 * * [simplify]: Extracting #0: cost 1 inf + 0 591.124 * * [simplify]: Extracting #1: cost 68 inf + 0 591.124 * * [simplify]: Extracting #2: cost 136 inf + 0 591.125 * * [simplify]: Extracting #3: cost 150 inf + 0 591.127 * * [simplify]: Extracting #4: cost 155 inf + 264 591.128 * * [simplify]: Extracting #5: cost 152 inf + 851 591.129 * * [simplify]: Extracting #6: cost 141 inf + 2605 591.139 * * [simplify]: Extracting #7: cost 90 inf + 27917 591.170 * * [simplify]: Extracting #8: cost 16 inf + 78854 591.209 * * [simplify]: Extracting #9: cost 0 inf + 90788 591.247 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 591.247 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (sqrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 591.247 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 591.248 * * [simplify]: iters left: 6 (21 enodes) 591.258 * * [simplify]: iters left: 5 (70 enodes) 591.278 * * [simplify]: iters left: 4 (87 enodes) 591.304 * * [simplify]: iters left: 3 (110 enodes) 591.336 * * [simplify]: iters left: 2 (129 enodes) 591.359 * * [simplify]: iters left: 1 (148 enodes) 591.382 * * [simplify]: Extracting #0: cost 1 inf + 0 591.382 * * [simplify]: Extracting #1: cost 22 inf + 0 591.382 * * [simplify]: Extracting #2: cost 45 inf + 0 591.383 * * [simplify]: Extracting #3: cost 57 inf + 0 591.383 * * [simplify]: Extracting #4: cost 64 inf + 62 591.383 * * [simplify]: Extracting #5: cost 59 inf + 1011 591.384 * * [simplify]: Extracting #6: cost 50 inf + 2443 591.386 * * [simplify]: Extracting #7: cost 34 inf + 7443 591.390 * * [simplify]: Extracting #8: cost 9 inf + 21203 591.394 * * [simplify]: Extracting #9: cost 0 inf + 26132 591.399 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))) 591.399 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (sqrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))))) 591.399 * * * * [progress]: [ 1005 / 2703 ] simplifiying candidate # 591.399 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 591.399 * * [simplify]: iters left: 6 (22 enodes) 591.405 * * [simplify]: iters left: 5 (77 enodes) 591.419 * * [simplify]: iters left: 4 (110 enodes) 591.447 * * [simplify]: iters left: 3 (195 enodes) 591.487 * * [simplify]: iters left: 2 (382 enodes) 591.617 * * [simplify]: Extracting #0: cost 1 inf + 0 591.618 * * [simplify]: Extracting #1: cost 67 inf + 0 591.619 * * [simplify]: Extracting #2: cost 135 inf + 0 591.620 * * [simplify]: Extracting #3: cost 147 inf + 0 591.621 * * [simplify]: Extracting #4: cost 151 inf + 224 591.622 * * [simplify]: Extracting #5: cost 148 inf + 851 591.623 * * [simplify]: Extracting #6: cost 136 inf + 3488 591.628 * * [simplify]: Extracting #7: cost 93 inf + 24354 591.647 * * [simplify]: Extracting #8: cost 6 inf + 80838 591.678 * * [simplify]: Extracting #9: cost 0 inf + 84540 591.715 * * [simplify]: Extracting #10: cost 0 inf + 84500 591.734 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 591.735 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 591.735 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 591.735 * * [simplify]: iters left: 6 (20 enodes) 591.741 * * [simplify]: iters left: 5 (67 enodes) 591.762 * * [simplify]: iters left: 4 (84 enodes) 591.787 * * [simplify]: iters left: 3 (107 enodes) 591.818 * * [simplify]: iters left: 2 (126 enodes) 591.852 * * [simplify]: iters left: 1 (145 enodes) 591.876 * * [simplify]: Extracting #0: cost 1 inf + 0 591.876 * * [simplify]: Extracting #1: cost 21 inf + 0 591.876 * * [simplify]: Extracting #2: cost 44 inf + 0 591.876 * * [simplify]: Extracting #3: cost 55 inf + 0 591.877 * * [simplify]: Extracting #4: cost 61 inf + 62 591.877 * * [simplify]: Extracting #5: cost 53 inf + 1515 591.877 * * [simplify]: Extracting #6: cost 47 inf + 2443 591.878 * * [simplify]: Extracting #7: cost 29 inf + 8228 591.881 * * [simplify]: Extracting #8: cost 3 inf + 22235 591.885 * * [simplify]: Extracting #9: cost 0 inf + 23664 591.889 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 591.889 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 591.889 * * * * [progress]: [ 1006 / 2703 ] simplifiying candidate # 591.889 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) 591.889 * * [simplify]: iters left: 6 (23 enodes) 591.896 * * [simplify]: iters left: 5 (82 enodes) 591.914 * * [simplify]: iters left: 4 (107 enodes) 591.948 * * [simplify]: iters left: 3 (170 enodes) 591.996 * * [simplify]: iters left: 2 (300 enodes) 592.132 * * [simplify]: Extracting #0: cost 1 inf + 0 592.132 * * [simplify]: Extracting #1: cost 57 inf + 0 592.133 * * [simplify]: Extracting #2: cost 99 inf + 1 592.133 * * [simplify]: Extracting #3: cost 108 inf + 1 592.133 * * [simplify]: Extracting #4: cost 111 inf + 265 592.134 * * [simplify]: Extracting #5: cost 109 inf + 650 592.135 * * [simplify]: Extracting #6: cost 103 inf + 2883 592.136 * * [simplify]: Extracting #7: cost 92 inf + 5824 592.141 * * [simplify]: Extracting #8: cost 40 inf + 32761 592.160 * * [simplify]: Extracting #9: cost 2 inf + 57872 592.186 * * [simplify]: Extracting #10: cost 0 inf + 59320 592.214 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) 592.214 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 592.215 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 592.215 * * [simplify]: iters left: 6 (19 enodes) 592.224 * * [simplify]: iters left: 5 (64 enodes) 592.237 * * [simplify]: iters left: 4 (81 enodes) 592.250 * * [simplify]: iters left: 3 (104 enodes) 592.265 * * [simplify]: iters left: 2 (123 enodes) 592.282 * * [simplify]: iters left: 1 (142 enodes) 592.311 * * [simplify]: Extracting #0: cost 1 inf + 0 592.311 * * [simplify]: Extracting #1: cost 21 inf + 0 592.311 * * [simplify]: Extracting #2: cost 44 inf + 0 592.311 * * [simplify]: Extracting #3: cost 56 inf + 0 592.311 * * [simplify]: Extracting #4: cost 62 inf + 123 592.312 * * [simplify]: Extracting #5: cost 50 inf + 1095 592.312 * * [simplify]: Extracting #6: cost 29 inf + 7344 592.315 * * [simplify]: Extracting #7: cost 4 inf + 20107 592.319 * * [simplify]: Extracting #8: cost 0 inf + 22460 592.323 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 592.323 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 1))) (* (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 592.323 * * * * [progress]: [ 1007 / 2703 ] simplifiying candidate # 592.323 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 592.324 * * [simplify]: iters left: 6 (22 enodes) 592.329 * * [simplify]: iters left: 5 (77 enodes) 592.347 * * [simplify]: iters left: 4 (110 enodes) 592.383 * * [simplify]: iters left: 3 (195 enodes) 592.440 * * [simplify]: iters left: 2 (382 enodes) 592.636 * * [simplify]: Extracting #0: cost 1 inf + 0 592.636 * * [simplify]: Extracting #1: cost 67 inf + 0 592.637 * * [simplify]: Extracting #2: cost 135 inf + 0 592.638 * * [simplify]: Extracting #3: cost 147 inf + 0 592.639 * * [simplify]: Extracting #4: cost 151 inf + 224 592.640 * * [simplify]: Extracting #5: cost 148 inf + 851 592.642 * * [simplify]: Extracting #6: cost 136 inf + 3488 592.648 * * [simplify]: Extracting #7: cost 93 inf + 24354 592.681 * * [simplify]: Extracting #8: cost 6 inf + 80838 592.703 * * [simplify]: Extracting #9: cost 0 inf + 84540 592.728 * * [simplify]: Extracting #10: cost 0 inf + 84500 592.768 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) 592.768 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 592.769 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 592.769 * * [simplify]: iters left: 6 (20 enodes) 592.778 * * [simplify]: iters left: 5 (67 enodes) 592.798 * * [simplify]: iters left: 4 (84 enodes) 592.821 * * [simplify]: iters left: 3 (107 enodes) 592.836 * * [simplify]: iters left: 2 (126 enodes) 592.859 * * [simplify]: iters left: 1 (145 enodes) 592.901 * * [simplify]: Extracting #0: cost 1 inf + 0 592.901 * * [simplify]: Extracting #1: cost 21 inf + 0 592.902 * * [simplify]: Extracting #2: cost 44 inf + 0 592.902 * * [simplify]: Extracting #3: cost 55 inf + 0 592.902 * * [simplify]: Extracting #4: cost 61 inf + 62 592.903 * * [simplify]: Extracting #5: cost 53 inf + 1515 592.903 * * [simplify]: Extracting #6: cost 47 inf + 2443 592.905 * * [simplify]: Extracting #7: cost 29 inf + 8228 592.911 * * [simplify]: Extracting #8: cost 3 inf + 22235 592.919 * * [simplify]: Extracting #9: cost 0 inf + 23664 592.926 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 592.926 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 592.927 * * * * [progress]: [ 1008 / 2703 ] simplifiying candidate # 592.927 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 592.927 * * [simplify]: iters left: 6 (22 enodes) 592.938 * * [simplify]: iters left: 5 (77 enodes) 592.963 * * [simplify]: iters left: 4 (112 enodes) 592.989 * * [simplify]: iters left: 3 (188 enodes) 593.053 * * [simplify]: iters left: 2 (328 enodes) 593.230 * * [simplify]: Extracting #0: cost 1 inf + 0 593.231 * * [simplify]: Extracting #1: cost 49 inf + 0 593.231 * * [simplify]: Extracting #2: cost 89 inf + 1 593.231 * * [simplify]: Extracting #3: cost 98 inf + 1 593.232 * * [simplify]: Extracting #4: cost 101 inf + 265 593.232 * * [simplify]: Extracting #5: cost 99 inf + 650 593.233 * * [simplify]: Extracting #6: cost 93 inf + 2905 593.234 * * [simplify]: Extracting #7: cost 81 inf + 5927 593.238 * * [simplify]: Extracting #8: cost 41 inf + 27199 593.249 * * [simplify]: Extracting #9: cost 4 inf + 50362 593.269 * * [simplify]: Extracting #10: cost 0 inf + 52599 593.294 * [simplify]: Simplified to (/ (sqrt (cos th)) (* (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 593.295 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 593.295 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 593.295 * * [simplify]: iters left: 6 (19 enodes) 593.304 * * [simplify]: iters left: 5 (64 enodes) 593.325 * * [simplify]: iters left: 4 (81 enodes) 593.349 * * [simplify]: iters left: 3 (104 enodes) 593.377 * * [simplify]: iters left: 2 (123 enodes) 593.406 * * [simplify]: iters left: 1 (142 enodes) 593.427 * * [simplify]: Extracting #0: cost 1 inf + 0 593.427 * * [simplify]: Extracting #1: cost 21 inf + 0 593.427 * * [simplify]: Extracting #2: cost 44 inf + 0 593.427 * * [simplify]: Extracting #3: cost 56 inf + 0 593.427 * * [simplify]: Extracting #4: cost 62 inf + 123 593.427 * * [simplify]: Extracting #5: cost 50 inf + 1095 593.428 * * [simplify]: Extracting #6: cost 29 inf + 7344 593.433 * * [simplify]: Extracting #7: cost 4 inf + 20107 593.440 * * [simplify]: Extracting #8: cost 0 inf + 22460 593.448 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 593.449 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (* (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 593.449 * * * * [progress]: [ 1009 / 2703 ] simplifiying candidate # 593.449 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 593.450 * * [simplify]: iters left: 6 (22 enodes) 593.457 * * [simplify]: iters left: 5 (77 enodes) 593.469 * * [simplify]: iters left: 4 (109 enodes) 593.491 * * [simplify]: iters left: 3 (183 enodes) 593.564 * * [simplify]: iters left: 2 (348 enodes) 593.702 * * [simplify]: Extracting #0: cost 1 inf + 0 593.702 * * [simplify]: Extracting #1: cost 62 inf + 0 593.703 * * [simplify]: Extracting #2: cost 133 inf + 0 593.704 * * [simplify]: Extracting #3: cost 144 inf + 0 593.705 * * [simplify]: Extracting #4: cost 148 inf + 224 593.707 * * [simplify]: Extracting #5: cost 146 inf + 810 593.708 * * [simplify]: Extracting #6: cost 137 inf + 1941 593.712 * * [simplify]: Extracting #7: cost 106 inf + 14709 593.737 * * [simplify]: Extracting #8: cost 24 inf + 66307 593.767 * * [simplify]: Extracting #9: cost 0 inf + 82013 593.786 * [simplify]: Simplified to (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) 593.786 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 593.786 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 593.786 * * [simplify]: iters left: 6 (20 enodes) 593.791 * * [simplify]: iters left: 5 (67 enodes) 593.801 * * [simplify]: iters left: 4 (84 enodes) 593.814 * * [simplify]: iters left: 3 (107 enodes) 593.829 * * [simplify]: iters left: 2 (126 enodes) 593.847 * * [simplify]: iters left: 1 (145 enodes) 593.868 * * [simplify]: Extracting #0: cost 1 inf + 0 593.868 * * [simplify]: Extracting #1: cost 21 inf + 0 593.869 * * [simplify]: Extracting #2: cost 44 inf + 0 593.869 * * [simplify]: Extracting #3: cost 55 inf + 0 593.869 * * [simplify]: Extracting #4: cost 61 inf + 62 593.869 * * [simplify]: Extracting #5: cost 53 inf + 1435 593.870 * * [simplify]: Extracting #6: cost 47 inf + 2243 593.870 * * [simplify]: Extracting #7: cost 29 inf + 7948 593.874 * * [simplify]: Extracting #8: cost 3 inf + 22115 593.878 * * [simplify]: Extracting #9: cost 0 inf + 23584 593.882 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 593.882 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 593.882 * * * * [progress]: [ 1010 / 2703 ] simplifiying candidate # 593.882 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 593.883 * * [simplify]: iters left: 6 (23 enodes) 593.888 * * [simplify]: iters left: 5 (79 enodes) 593.900 * * [simplify]: iters left: 4 (103 enodes) 593.930 * * [simplify]: iters left: 3 (148 enodes) 593.980 * * [simplify]: iters left: 2 (200 enodes) 594.032 * * [simplify]: iters left: 1 (263 enodes) 594.092 * * [simplify]: Extracting #0: cost 1 inf + 0 594.092 * * [simplify]: Extracting #1: cost 41 inf + 0 594.092 * * [simplify]: Extracting #2: cost 78 inf + 0 594.093 * * [simplify]: Extracting #3: cost 91 inf + 0 594.093 * * [simplify]: Extracting #4: cost 98 inf + 62 594.093 * * [simplify]: Extracting #5: cost 94 inf + 750 594.094 * * [simplify]: Extracting #6: cost 85 inf + 1941 594.096 * * [simplify]: Extracting #7: cost 52 inf + 16939 594.105 * * [simplify]: Extracting #8: cost 4 inf + 44537 594.117 * * [simplify]: Extracting #9: cost 0 inf + 47191 594.129 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cos th))))) 594.129 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cos th))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 594.129 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 594.129 * * [simplify]: iters left: 6 (21 enodes) 594.134 * * [simplify]: iters left: 5 (70 enodes) 594.145 * * [simplify]: iters left: 4 (87 enodes) 594.166 * * [simplify]: iters left: 3 (110 enodes) 594.190 * * [simplify]: iters left: 2 (129 enodes) 594.208 * * [simplify]: iters left: 1 (148 enodes) 594.234 * * [simplify]: Extracting #0: cost 1 inf + 0 594.234 * * [simplify]: Extracting #1: cost 22 inf + 0 594.235 * * [simplify]: Extracting #2: cost 45 inf + 0 594.235 * * [simplify]: Extracting #3: cost 57 inf + 0 594.235 * * [simplify]: Extracting #4: cost 64 inf + 62 594.236 * * [simplify]: Extracting #5: cost 59 inf + 971 594.236 * * [simplify]: Extracting #6: cost 50 inf + 2243 594.238 * * [simplify]: Extracting #7: cost 34 inf + 7123 594.243 * * [simplify]: Extracting #8: cost 9 inf + 20403 594.252 * * [simplify]: Extracting #9: cost 0 inf + 25132 594.260 * [simplify]: Simplified to (/ (* (sqrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2))))) 594.260 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (* (sqrt (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cbrt (sqrt 2))))))) 594.261 * * * * [progress]: [ 1011 / 2703 ] simplifiying candidate # 594.261 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 594.261 * * [simplify]: iters left: 6 (21 enodes) 594.274 * * [simplify]: iters left: 5 (72 enodes) 594.296 * * [simplify]: iters left: 4 (96 enodes) 594.323 * * [simplify]: iters left: 3 (141 enodes) 594.361 * * [simplify]: iters left: 2 (193 enodes) 594.414 * * [simplify]: iters left: 1 (256 enodes) 594.479 * * [simplify]: Extracting #0: cost 1 inf + 0 594.479 * * [simplify]: Extracting #1: cost 41 inf + 0 594.479 * * [simplify]: Extracting #2: cost 77 inf + 0 594.480 * * [simplify]: Extracting #3: cost 88 inf + 0 594.480 * * [simplify]: Extracting #4: cost 94 inf + 62 594.480 * * [simplify]: Extracting #5: cost 91 inf + 709 594.481 * * [simplify]: Extracting #6: cost 82 inf + 1780 594.483 * * [simplify]: Extracting #7: cost 41 inf + 20263 594.497 * * [simplify]: Extracting #8: cost 4 inf + 41390 594.518 * * [simplify]: Extracting #9: cost 0 inf + 43903 594.536 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cos th))))) 594.536 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cos th))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 594.537 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 594.537 * * [simplify]: iters left: 6 (20 enodes) 594.546 * * [simplify]: iters left: 5 (67 enodes) 594.566 * * [simplify]: iters left: 4 (84 enodes) 594.591 * * [simplify]: iters left: 3 (107 enodes) 594.616 * * [simplify]: iters left: 2 (126 enodes) 594.634 * * [simplify]: iters left: 1 (145 enodes) 594.668 * * [simplify]: Extracting #0: cost 1 inf + 0 594.668 * * [simplify]: Extracting #1: cost 21 inf + 0 594.668 * * [simplify]: Extracting #2: cost 44 inf + 0 594.668 * * [simplify]: Extracting #3: cost 55 inf + 0 594.669 * * [simplify]: Extracting #4: cost 61 inf + 62 594.669 * * [simplify]: Extracting #5: cost 53 inf + 1435 594.670 * * [simplify]: Extracting #6: cost 47 inf + 2243 594.672 * * [simplify]: Extracting #7: cost 29 inf + 7868 594.678 * * [simplify]: Extracting #8: cost 3 inf + 21355 594.684 * * [simplify]: Extracting #9: cost 0 inf + 22704 594.690 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 594.690 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 594.691 * * * * [progress]: [ 1012 / 2703 ] simplifiying candidate # 594.691 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) 594.691 * * [simplify]: iters left: 6 (22 enodes) 594.702 * * [simplify]: iters left: 5 (77 enodes) 594.725 * * [simplify]: iters left: 4 (93 enodes) 594.753 * * [simplify]: iters left: 3 (122 enodes) 594.796 * * [simplify]: iters left: 2 (163 enodes) 594.835 * * [simplify]: iters left: 1 (226 enodes) 594.908 * * [simplify]: Extracting #0: cost 1 inf + 0 594.908 * * [simplify]: Extracting #1: cost 27 inf + 0 594.908 * * [simplify]: Extracting #2: cost 47 inf + 1 594.908 * * [simplify]: Extracting #3: cost 56 inf + 1 594.908 * * [simplify]: Extracting #4: cost 61 inf + 63 594.909 * * [simplify]: Extracting #5: cost 55 inf + 932 594.909 * * [simplify]: Extracting #6: cost 54 inf + 1699 594.910 * * [simplify]: Extracting #7: cost 47 inf + 2950 594.911 * * [simplify]: Extracting #8: cost 44 inf + 3073 594.912 * * [simplify]: Extracting #9: cost 31 inf + 8935 594.917 * * [simplify]: Extracting #10: cost 5 inf + 22989 594.923 * * [simplify]: Extracting #11: cost 0 inf + 25947 594.929 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 594.929 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 594.929 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 594.930 * * [simplify]: iters left: 6 (19 enodes) 594.934 * * [simplify]: iters left: 5 (64 enodes) 594.950 * * [simplify]: iters left: 4 (81 enodes) 594.973 * * [simplify]: iters left: 3 (104 enodes) 594.990 * * [simplify]: iters left: 2 (123 enodes) 595.007 * * [simplify]: iters left: 1 (142 enodes) 595.040 * * [simplify]: Extracting #0: cost 1 inf + 0 595.040 * * [simplify]: Extracting #1: cost 21 inf + 0 595.040 * * [simplify]: Extracting #2: cost 44 inf + 0 595.041 * * [simplify]: Extracting #3: cost 56 inf + 0 595.041 * * [simplify]: Extracting #4: cost 62 inf + 123 595.042 * * [simplify]: Extracting #5: cost 50 inf + 1055 595.043 * * [simplify]: Extracting #6: cost 29 inf + 6984 595.049 * * [simplify]: Extracting #7: cost 4 inf + 19267 595.056 * * [simplify]: Extracting #8: cost 0 inf + 21500 595.063 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 595.063 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt 1))) (* (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 595.064 * * * * [progress]: [ 1013 / 2703 ] simplifiying candidate # 595.064 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 595.064 * * [simplify]: iters left: 6 (21 enodes) 595.074 * * [simplify]: iters left: 5 (72 enodes) 595.095 * * [simplify]: iters left: 4 (96 enodes) 595.118 * * [simplify]: iters left: 3 (141 enodes) 595.141 * * [simplify]: iters left: 2 (193 enodes) 595.183 * * [simplify]: iters left: 1 (256 enodes) 595.255 * * [simplify]: Extracting #0: cost 1 inf + 0 595.255 * * [simplify]: Extracting #1: cost 41 inf + 0 595.255 * * [simplify]: Extracting #2: cost 77 inf + 0 595.256 * * [simplify]: Extracting #3: cost 88 inf + 0 595.256 * * [simplify]: Extracting #4: cost 94 inf + 62 595.256 * * [simplify]: Extracting #5: cost 91 inf + 709 595.257 * * [simplify]: Extracting #6: cost 82 inf + 1780 595.259 * * [simplify]: Extracting #7: cost 41 inf + 20263 595.268 * * [simplify]: Extracting #8: cost 4 inf + 41390 595.277 * * [simplify]: Extracting #9: cost 0 inf + 43903 595.291 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cos th))))) 595.291 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (cos th))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 595.292 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 595.292 * * [simplify]: iters left: 6 (20 enodes) 595.305 * * [simplify]: iters left: 5 (67 enodes) 595.325 * * [simplify]: iters left: 4 (84 enodes) 595.350 * * [simplify]: iters left: 3 (107 enodes) 595.375 * * [simplify]: iters left: 2 (126 enodes) 595.392 * * [simplify]: iters left: 1 (145 enodes) 595.428 * * [simplify]: Extracting #0: cost 1 inf + 0 595.429 * * [simplify]: Extracting #1: cost 21 inf + 0 595.429 * * [simplify]: Extracting #2: cost 44 inf + 0 595.429 * * [simplify]: Extracting #3: cost 55 inf + 0 595.429 * * [simplify]: Extracting #4: cost 61 inf + 62 595.430 * * [simplify]: Extracting #5: cost 53 inf + 1435 595.431 * * [simplify]: Extracting #6: cost 47 inf + 2243 595.433 * * [simplify]: Extracting #7: cost 29 inf + 7868 595.438 * * [simplify]: Extracting #8: cost 3 inf + 21355 595.446 * * [simplify]: Extracting #9: cost 0 inf + 22704 595.454 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))) 595.454 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))))))) 595.454 * * * * [progress]: [ 1014 / 2703 ] simplifiying candidate # 595.455 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) 1)) 595.455 * * [simplify]: iters left: 6 (21 enodes) 595.466 * * [simplify]: iters left: 5 (72 enodes) 595.489 * * [simplify]: iters left: 4 (90 enodes) 595.517 * * [simplify]: iters left: 3 (120 enodes) 595.558 * * [simplify]: iters left: 2 (166 enodes) 595.605 * * [simplify]: iters left: 1 (234 enodes) 595.693 * * [simplify]: Extracting #0: cost 1 inf + 0 595.694 * * [simplify]: Extracting #1: cost 24 inf + 0 595.694 * * [simplify]: Extracting #2: cost 46 inf + 1 595.694 * * [simplify]: Extracting #3: cost 55 inf + 1 595.695 * * [simplify]: Extracting #4: cost 60 inf + 63 595.695 * * [simplify]: Extracting #5: cost 54 inf + 852 595.696 * * [simplify]: Extracting #6: cost 51 inf + 2303 595.697 * * [simplify]: Extracting #7: cost 46 inf + 2950 595.699 * * [simplify]: Extracting #8: cost 44 inf + 3032 595.702 * * [simplify]: Extracting #9: cost 27 inf + 9684 595.711 * * [simplify]: Extracting #10: cost 2 inf + 24015 595.724 * * [simplify]: Extracting #11: cost 0 inf + 25243 595.735 * [simplify]: Simplified to (/ (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) 595.736 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 595.736 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (sqrt (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) 595.736 * * [simplify]: iters left: 6 (19 enodes) 595.745 * * [simplify]: iters left: 5 (64 enodes) 595.764 * * [simplify]: iters left: 4 (81 enodes) 595.789 * * [simplify]: iters left: 3 (104 enodes) 595.819 * * [simplify]: iters left: 2 (123 enodes) 595.845 * * [simplify]: iters left: 1 (142 enodes) 595.868 * * [simplify]: Extracting #0: cost 1 inf + 0 595.869 * * [simplify]: Extracting #1: cost 21 inf + 0 595.869 * * [simplify]: Extracting #2: cost 44 inf + 0 595.869 * * [simplify]: Extracting #3: cost 56 inf + 0 595.869 * * [simplify]: Extracting #4: cost 62 inf + 123 595.870 * * [simplify]: Extracting #5: cost 50 inf + 1055 595.871 * * [simplify]: Extracting #6: cost 29 inf + 6984 595.877 * * [simplify]: Extracting #7: cost 4 inf + 19267 595.883 * * [simplify]: Extracting #8: cost 0 inf + 21500 595.886 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 595.886 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (sqrt 2))) 1)) (* (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 595.887 * * * * [progress]: [ 1015 / 2703 ] simplifiying candidate # 595.887 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) 595.887 * * [simplify]: iters left: 6 (22 enodes) 595.892 * * [simplify]: iters left: 5 (79 enodes) 595.908 * * [simplify]: iters left: 4 (109 enodes) 595.946 * * [simplify]: iters left: 3 (169 enodes) 595.995 * * [simplify]: iters left: 2 (324 enodes) 596.158 * * [simplify]: iters left: 1 (492 enodes) 596.440 * * [simplify]: Extracting #0: cost 1 inf + 0 596.440 * * [simplify]: Extracting #1: cost 35 inf + 0 596.440 * * [simplify]: Extracting #2: cost 97 inf + 1 596.441 * * [simplify]: Extracting #3: cost 106 inf + 1 596.441 * * [simplify]: Extracting #4: cost 108 inf + 589 596.442 * * [simplify]: Extracting #5: cost 112 inf + 792 596.442 * * [simplify]: Extracting #6: cost 105 inf + 1159 596.444 * * [simplify]: Extracting #7: cost 64 inf + 17814 596.458 * * [simplify]: Extracting #8: cost 7 inf + 50395 596.485 * * [simplify]: Extracting #9: cost 0 inf + 54055 596.511 * [simplify]: Simplified to (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (sqrt (cos th))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) 596.511 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (sqrt (cos th))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 596.511 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 596.511 * * [simplify]: iters left: 6 (19 enodes) 596.516 * * [simplify]: iters left: 5 (64 enodes) 596.529 * * [simplify]: iters left: 4 (81 enodes) 596.542 * * [simplify]: iters left: 3 (104 enodes) 596.557 * * [simplify]: iters left: 2 (123 enodes) 596.581 * * [simplify]: iters left: 1 (142 enodes) 596.616 * * [simplify]: Extracting #0: cost 1 inf + 0 596.616 * * [simplify]: Extracting #1: cost 21 inf + 0 596.616 * * [simplify]: Extracting #2: cost 44 inf + 0 596.616 * * [simplify]: Extracting #3: cost 55 inf + 0 596.617 * * [simplify]: Extracting #4: cost 53 inf + 488 596.617 * * [simplify]: Extracting #5: cost 50 inf + 1758 596.617 * * [simplify]: Extracting #6: cost 46 inf + 2063 596.618 * * [simplify]: Extracting #7: cost 33 inf + 5533 596.620 * * [simplify]: Extracting #8: cost 6 inf + 19162 596.625 * * [simplify]: Extracting #9: cost 0 inf + 22382 596.629 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 596.629 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 596.629 * * * * [progress]: [ 1016 / 2703 ] simplifiying candidate # 596.630 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) 596.630 * * [simplify]: iters left: 6 (23 enodes) 596.635 * * [simplify]: iters left: 5 (81 enodes) 596.648 * * [simplify]: iters left: 4 (103 enodes) 596.664 * * [simplify]: iters left: 3 (134 enodes) 596.706 * * [simplify]: iters left: 2 (186 enodes) 596.745 * * [simplify]: iters left: 1 (228 enodes) 596.810 * * [simplify]: Extracting #0: cost 1 inf + 0 596.810 * * [simplify]: Extracting #1: cost 20 inf + 0 596.810 * * [simplify]: Extracting #2: cost 42 inf + 1 596.811 * * [simplify]: Extracting #3: cost 53 inf + 1 596.811 * * [simplify]: Extracting #4: cost 60 inf + 63 596.811 * * [simplify]: Extracting #5: cost 60 inf + 792 596.811 * * [simplify]: Extracting #6: cost 50 inf + 1482 596.812 * * [simplify]: Extracting #7: cost 28 inf + 8437 596.816 * * [simplify]: Extracting #8: cost 6 inf + 19730 596.823 * * [simplify]: Extracting #9: cost 0 inf + 23493 596.828 * [simplify]: Simplified to (/ (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (sqrt (cos th)))) 596.828 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2)))) (sqrt (cos th)))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))) 596.828 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) 596.828 * * [simplify]: iters left: 6 (20 enodes) 596.836 * * [simplify]: iters left: 5 (67 enodes) 596.853 * * [simplify]: iters left: 4 (84 enodes) 596.866 * * [simplify]: iters left: 3 (107 enodes) 596.883 * * [simplify]: iters left: 2 (126 enodes) 596.918 * * [simplify]: iters left: 1 (145 enodes) 596.945 * * [simplify]: Extracting #0: cost 1 inf + 0 596.945 * * [simplify]: Extracting #1: cost 21 inf + 0 596.945 * * [simplify]: Extracting #2: cost 44 inf + 0 596.945 * * [simplify]: Extracting #3: cost 56 inf + 0 596.946 * * [simplify]: Extracting #4: cost 56 inf + 507 596.946 * * [simplify]: Extracting #5: cost 53 inf + 1496 596.946 * * [simplify]: Extracting #6: cost 48 inf + 2063 596.947 * * [simplify]: Extracting #7: cost 29 inf + 8495 596.949 * * [simplify]: Extracting #8: cost 20 inf + 12161 596.953 * * [simplify]: Extracting #9: cost 2 inf + 22480 596.957 * * [simplify]: Extracting #10: cost 0 inf + 23266 596.961 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (sqrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))) 596.961 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (sqrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))))))) 596.961 * * * * [progress]: [ 1017 / 2703 ] simplifiying candidate # 596.961 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 596.961 * * [simplify]: iters left: 6 (21 enodes) 596.967 * * [simplify]: iters left: 5 (74 enodes) 596.980 * * [simplify]: iters left: 4 (96 enodes) 596.995 * * [simplify]: iters left: 3 (127 enodes) 597.038 * * [simplify]: iters left: 2 (179 enodes) 597.099 * * [simplify]: iters left: 1 (222 enodes) 597.148 * * [simplify]: Extracting #0: cost 1 inf + 0 597.148 * * [simplify]: Extracting #1: cost 22 inf + 0 597.148 * * [simplify]: Extracting #2: cost 50 inf + 1 597.148 * * [simplify]: Extracting #3: cost 59 inf + 1 597.148 * * [simplify]: Extracting #4: cost 65 inf + 63 597.149 * * [simplify]: Extracting #5: cost 65 inf + 792 597.149 * * [simplify]: Extracting #6: cost 56 inf + 1321 597.150 * * [simplify]: Extracting #7: cost 46 inf + 2859 597.151 * * [simplify]: Extracting #8: cost 29 inf + 8929 597.155 * * [simplify]: Extracting #9: cost 6 inf + 21952 597.163 * * [simplify]: Extracting #10: cost 0 inf + 25694 597.173 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 597.173 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 597.174 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 597.174 * * [simplify]: iters left: 6 (19 enodes) 597.183 * * [simplify]: iters left: 5 (64 enodes) 597.203 * * [simplify]: iters left: 4 (81 enodes) 597.226 * * [simplify]: iters left: 3 (104 enodes) 597.240 * * [simplify]: iters left: 2 (123 enodes) 597.267 * * [simplify]: iters left: 1 (142 enodes) 597.289 * * [simplify]: Extracting #0: cost 1 inf + 0 597.289 * * [simplify]: Extracting #1: cost 21 inf + 0 597.289 * * [simplify]: Extracting #2: cost 44 inf + 0 597.289 * * [simplify]: Extracting #3: cost 55 inf + 0 597.289 * * [simplify]: Extracting #4: cost 53 inf + 488 597.290 * * [simplify]: Extracting #5: cost 50 inf + 1758 597.290 * * [simplify]: Extracting #6: cost 46 inf + 2063 597.291 * * [simplify]: Extracting #7: cost 33 inf + 5453 597.293 * * [simplify]: Extracting #8: cost 6 inf + 18442 597.297 * * [simplify]: Extracting #9: cost 0 inf + 21502 597.303 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 597.303 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 597.303 * * * * [progress]: [ 1018 / 2703 ] simplifiying candidate # 597.304 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt 1))) 597.304 * * [simplify]: iters left: 6 (21 enodes) 597.316 * * [simplify]: iters left: 5 (74 enodes) 597.339 * * [simplify]: iters left: 4 (90 enodes) 597.364 * * [simplify]: iters left: 3 (104 enodes) 597.392 * * [simplify]: iters left: 2 (119 enodes) 597.411 * * [simplify]: iters left: 1 (156 enodes) 597.454 * * [simplify]: Extracting #0: cost 1 inf + 0 597.454 * * [simplify]: Extracting #1: cost 13 inf + 0 597.455 * * [simplify]: Extracting #2: cost 23 inf + 1 597.455 * * [simplify]: Extracting #3: cost 31 inf + 1 597.455 * * [simplify]: Extracting #4: cost 36 inf + 63 597.455 * * [simplify]: Extracting #5: cost 37 inf + 468 597.455 * * [simplify]: Extracting #6: cost 37 inf + 773 597.456 * * [simplify]: Extracting #7: cost 31 inf + 1139 597.456 * * [simplify]: Extracting #8: cost 18 inf + 4067 597.458 * * [simplify]: Extracting #9: cost 5 inf + 10714 597.461 * * [simplify]: Extracting #10: cost 0 inf + 13333 597.465 * [simplify]: Simplified to (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 597.465 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 597.465 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 597.466 * * [simplify]: iters left: 6 (18 enodes) 597.472 * * [simplify]: iters left: 5 (61 enodes) 597.481 * * [simplify]: iters left: 4 (77 enodes) 597.499 * * [simplify]: iters left: 3 (98 enodes) 597.527 * * [simplify]: iters left: 2 (116 enodes) 597.559 * * [simplify]: iters left: 1 (133 enodes) 597.597 * * [simplify]: Extracting #0: cost 1 inf + 0 597.597 * * [simplify]: Extracting #1: cost 22 inf + 0 597.598 * * [simplify]: Extracting #2: cost 45 inf + 0 597.598 * * [simplify]: Extracting #3: cost 55 inf + 0 597.598 * * [simplify]: Extracting #4: cost 53 inf + 427 597.599 * * [simplify]: Extracting #5: cost 42 inf + 1580 597.601 * * [simplify]: Extracting #6: cost 24 inf + 7710 597.609 * * [simplify]: Extracting #7: cost 5 inf + 16994 597.615 * * [simplify]: Extracting #8: cost 0 inf + 19630 597.622 * [simplify]: Simplified to (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 597.622 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt 1))) (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 597.622 * * * * [progress]: [ 1019 / 2703 ] simplifiying candidate # 597.622 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 597.623 * * [simplify]: iters left: 6 (21 enodes) 597.633 * * [simplify]: iters left: 5 (74 enodes) 597.656 * * [simplify]: iters left: 4 (96 enodes) 597.674 * * [simplify]: iters left: 3 (127 enodes) 597.700 * * [simplify]: iters left: 2 (179 enodes) 597.743 * * [simplify]: iters left: 1 (222 enodes) 597.788 * * [simplify]: Extracting #0: cost 1 inf + 0 597.789 * * [simplify]: Extracting #1: cost 22 inf + 0 597.789 * * [simplify]: Extracting #2: cost 50 inf + 1 597.789 * * [simplify]: Extracting #3: cost 59 inf + 1 597.789 * * [simplify]: Extracting #4: cost 65 inf + 63 597.789 * * [simplify]: Extracting #5: cost 65 inf + 792 597.790 * * [simplify]: Extracting #6: cost 56 inf + 1321 597.790 * * [simplify]: Extracting #7: cost 46 inf + 2859 597.791 * * [simplify]: Extracting #8: cost 29 inf + 8929 597.795 * * [simplify]: Extracting #9: cost 6 inf + 21952 597.803 * * [simplify]: Extracting #10: cost 0 inf + 25694 597.810 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 597.810 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))) 597.811 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 597.811 * * [simplify]: iters left: 6 (19 enodes) 597.820 * * [simplify]: iters left: 5 (64 enodes) 597.838 * * [simplify]: iters left: 4 (81 enodes) 597.850 * * [simplify]: iters left: 3 (104 enodes) 597.866 * * [simplify]: iters left: 2 (123 enodes) 597.900 * * [simplify]: iters left: 1 (142 enodes) 597.937 * * [simplify]: Extracting #0: cost 1 inf + 0 597.937 * * [simplify]: Extracting #1: cost 21 inf + 0 597.937 * * [simplify]: Extracting #2: cost 44 inf + 0 597.937 * * [simplify]: Extracting #3: cost 55 inf + 0 597.938 * * [simplify]: Extracting #4: cost 53 inf + 488 597.938 * * [simplify]: Extracting #5: cost 50 inf + 1758 597.938 * * [simplify]: Extracting #6: cost 46 inf + 2063 597.939 * * [simplify]: Extracting #7: cost 33 inf + 5453 597.941 * * [simplify]: Extracting #8: cost 6 inf + 18442 597.945 * * [simplify]: Extracting #9: cost 0 inf + 21502 597.950 * [simplify]: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) 597.950 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 597.950 * * * * [progress]: [ 1020 / 2703 ] simplifiying candidate # 597.950 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 1)) 597.950 * * [simplify]: iters left: 6 (20 enodes) 597.956 * * [simplify]: iters left: 5 (67 enodes) 597.974 * * [simplify]: iters left: 4 (80 enodes) 597.986 * * [simplify]: iters left: 3 (88 enodes) 597.999 * * [simplify]: iters left: 2 (89 enodes) 598.021 * * [simplify]: Extracting #0: cost 1 inf + 0 598.022 * * [simplify]: Extracting #1: cost 7 inf + 0 598.022 * * [simplify]: Extracting #2: cost 12 inf + 1 598.022 * * [simplify]: Extracting #3: cost 20 inf + 1 598.022 * * [simplify]: Extracting #4: cost 26 inf + 2 598.022 * * [simplify]: Extracting #5: cost 30 inf + 63 598.022 * * [simplify]: Extracting #6: cost 28 inf + 489 598.023 * * [simplify]: Extracting #7: cost 22 inf + 855 598.023 * * [simplify]: Extracting #8: cost 13 inf + 2513 598.025 * * [simplify]: Extracting #9: cost 3 inf + 6342 598.027 * * [simplify]: Extracting #10: cost 0 inf + 7993 598.030 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) 598.030 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (cbrt (/ (cbrt (sqrt 2)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 598.030 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 598.031 * * [simplify]: iters left: 6 (18 enodes) 598.041 * * [simplify]: iters left: 5 (61 enodes) 598.056 * * [simplify]: iters left: 4 (77 enodes) 598.068 * * [simplify]: iters left: 3 (98 enodes) 598.083 * * [simplify]: iters left: 2 (116 enodes) 598.114 * * [simplify]: iters left: 1 (133 enodes) 598.135 * * [simplify]: Extracting #0: cost 1 inf + 0 598.135 * * [simplify]: Extracting #1: cost 22 inf + 0 598.135 * * [simplify]: Extracting #2: cost 45 inf + 0 598.135 * * [simplify]: Extracting #3: cost 55 inf + 0 598.135 * * [simplify]: Extracting #4: cost 53 inf + 427 598.135 * * [simplify]: Extracting #5: cost 42 inf + 1580 598.138 * * [simplify]: Extracting #6: cost 24 inf + 7710 598.141 * * [simplify]: Extracting #7: cost 5 inf + 16994 598.148 * * [simplify]: Extracting #8: cost 0 inf + 19630 598.154 * [simplify]: Simplified to (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 598.154 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ 1 1)) (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 598.155 * * * * [progress]: [ 1021 / 2703 ] simplifiying candidate # 598.155 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 1) 598.155 * * [simplify]: iters left: 6 (19 enodes) 598.165 * * [simplify]: iters left: 5 (64 enodes) 598.184 * * [simplify]: iters left: 4 (78 enodes) 598.208 * * [simplify]: iters left: 3 (89 enodes) 598.232 * * [simplify]: Extracting #0: cost 1 inf + 0 598.232 * * [simplify]: Extracting #1: cost 7 inf + 0 598.232 * * [simplify]: Extracting #2: cost 12 inf + 1 598.232 * * [simplify]: Extracting #3: cost 20 inf + 1 598.232 * * [simplify]: Extracting #4: cost 26 inf + 2 598.232 * * [simplify]: Extracting #5: cost 29 inf + 124 598.232 * * [simplify]: Extracting #6: cost 28 inf + 489 598.233 * * [simplify]: Extracting #7: cost 20 inf + 1057 598.233 * * [simplify]: Extracting #8: cost 13 inf + 2070 598.234 * * [simplify]: Extracting #9: cost 3 inf + 6422 598.235 * * [simplify]: Extracting #10: cost 0 inf + 7993 598.236 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 598.236 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 598.236 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) 598.237 * * [simplify]: iters left: 6 (18 enodes) 598.241 * * [simplify]: iters left: 5 (61 enodes) 598.251 * * [simplify]: iters left: 4 (77 enodes) 598.268 * * [simplify]: iters left: 3 (98 enodes) 598.285 * * [simplify]: iters left: 2 (116 enodes) 598.301 * * [simplify]: iters left: 1 (133 enodes) 598.332 * * [simplify]: Extracting #0: cost 1 inf + 0 598.332 * * [simplify]: Extracting #1: cost 22 inf + 0 598.332 * * [simplify]: Extracting #2: cost 45 inf + 0 598.332 * * [simplify]: Extracting #3: cost 55 inf + 0 598.333 * * [simplify]: Extracting #4: cost 53 inf + 427 598.333 * * [simplify]: Extracting #5: cost 42 inf + 1580 598.335 * * [simplify]: Extracting #6: cost 24 inf + 7710 598.341 * * [simplify]: Extracting #7: cost 5 inf + 16994 598.348 * * [simplify]: Extracting #8: cost 0 inf + 19630 598.355 * [simplify]: Simplified to (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 598.355 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) 1) (/ (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 598.355 * * * * [progress]: [ 1022 / 2703 ] simplifiying candidate # 598.356 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2))) 598.356 * * [simplify]: iters left: 6 (18 enodes) 598.365 * * [simplify]: iters left: 5 (61 enodes) 598.387 * * [simplify]: iters left: 4 (75 enodes) 598.409 * * [simplify]: iters left: 3 (90 enodes) 598.435 * * [simplify]: iters left: 2 (92 enodes) 598.460 * * [simplify]: Extracting #0: cost 1 inf + 0 598.460 * * [simplify]: Extracting #1: cost 12 inf + 0 598.460 * * [simplify]: Extracting #2: cost 25 inf + 0 598.460 * * [simplify]: Extracting #3: cost 34 inf + 0 598.460 * * [simplify]: Extracting #4: cost 33 inf + 266 598.461 * * [simplify]: Extracting #5: cost 29 inf + 1234 598.461 * * [simplify]: Extracting #6: cost 32 inf + 1496 598.462 * * [simplify]: Extracting #7: cost 28 inf + 1580 598.463 * * [simplify]: Extracting #8: cost 26 inf + 1662 598.464 * * [simplify]: Extracting #9: cost 19 inf + 3400 598.466 * * [simplify]: Extracting #10: cost 7 inf + 9361 598.470 * * [simplify]: Extracting #11: cost 1 inf + 12621 598.475 * * [simplify]: Extracting #12: cost 0 inf + 13104 598.479 * [simplify]: Simplified to (/ (/ (/ (sqrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) 598.479 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (/ (sqrt (cos th)) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))))) 598.479 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))) 598.480 * * [simplify]: iters left: 6 (19 enodes) 598.489 * * [simplify]: iters left: 5 (66 enodes) 598.509 * * [simplify]: iters left: 4 (81 enodes) 598.523 * * [simplify]: iters left: 3 (96 enodes) 598.542 * * [simplify]: iters left: 2 (124 enodes) 598.560 * * [simplify]: iters left: 1 (145 enodes) 598.587 * * [simplify]: Extracting #0: cost 1 inf + 0 598.587 * * [simplify]: Extracting #1: cost 13 inf + 0 598.587 * * [simplify]: Extracting #2: cost 26 inf + 1 598.588 * * [simplify]: Extracting #3: cost 36 inf + 1 598.588 * * [simplify]: Extracting #4: cost 44 inf + 63 598.588 * * [simplify]: Extracting #5: cost 38 inf + 552 598.589 * * [simplify]: Extracting #6: cost 20 inf + 2983 598.591 * * [simplify]: Extracting #7: cost 10 inf + 6512 598.595 * * [simplify]: Extracting #8: cost 0 inf + 11767 598.601 * [simplify]: Simplified to (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (sqrt (cos th))) 598.601 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (sqrt (cos th))))) 598.601 * * * * [progress]: [ 1023 / 2703 ] simplifiying candidate # 598.601 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))) 598.602 * * [simplify]: iters left: 6 (24 enodes) 598.614 * * [simplify]: iters left: 5 (98 enodes) 598.646 * * [simplify]: iters left: 4 (175 enodes) 598.683 * * [simplify]: iters left: 3 (315 enodes) 598.747 * * [simplify]: Extracting #0: cost 1 inf + 0 598.747 * * [simplify]: Extracting #1: cost 28 inf + 0 598.747 * * [simplify]: Extracting #2: cost 55 inf + 0 598.747 * * [simplify]: Extracting #3: cost 67 inf + 0 598.748 * * [simplify]: Extracting #4: cost 95 inf + 427 598.748 * * [simplify]: Extracting #5: cost 138 inf + 1178 598.750 * * [simplify]: Extracting #6: cost 107 inf + 10044 598.753 * * [simplify]: Extracting #7: cost 56 inf + 28106 598.763 * * [simplify]: Extracting #8: cost 5 inf + 52405 598.781 * * [simplify]: Extracting #9: cost 0 inf + 55391 598.799 * [simplify]: Simplified to (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))))) 598.799 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))) 598.799 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) 598.799 * * [simplify]: iters left: 6 (23 enodes) 598.805 * * [simplify]: iters left: 5 (96 enodes) 598.824 * * [simplify]: iters left: 4 (172 enodes) 598.865 * * [simplify]: iters left: 3 (292 enodes) 598.952 * * [simplify]: iters left: 2 (422 enodes) 599.143 * * [simplify]: Extracting #0: cost 1 inf + 0 599.143 * * [simplify]: Extracting #1: cost 8 inf + 0 599.143 * * [simplify]: Extracting #2: cost 17 inf + 0 599.143 * * [simplify]: Extracting #3: cost 44 inf + 0 599.143 * * [simplify]: Extracting #4: cost 174 inf + 123 599.144 * * [simplify]: Extracting #5: cost 235 inf + 1203 599.147 * * [simplify]: Extracting #6: cost 155 inf + 13148 599.156 * * [simplify]: Extracting #7: cost 19 inf + 38697 599.173 * * [simplify]: Extracting #8: cost 1 inf + 43588 599.191 * * [simplify]: Extracting #9: cost 0 inf + 44271 599.209 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2))))) 599.209 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))))) (cbrt (sqrt 2))) (sqrt (+ (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2))))))) 599.210 * * * * [progress]: [ 1024 / 2703 ] simplifiying candidate # 599.210 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) 599.211 * * [simplify]: iters left: 6 (23 enodes) 599.219 * * [simplify]: iters left: 5 (90 enodes) 599.234 * * [simplify]: iters left: 4 (141 enodes) 599.276 * * [simplify]: iters left: 3 (241 enodes) 599.365 * * [simplify]: iters left: 2 (446 enodes) 599.531 * * [simplify]: Extracting #0: cost 1 inf + 0 599.531 * * [simplify]: Extracting #1: cost 41 inf + 0 599.532 * * [simplify]: Extracting #2: cost 76 inf + 0 599.532 * * [simplify]: Extracting #3: cost 132 inf + 0 599.534 * * [simplify]: Extracting #4: cost 228 inf + 548 599.537 * * [simplify]: Extracting #5: cost 250 inf + 8029 599.547 * * [simplify]: Extracting #6: cost 130 inf + 34166 599.575 * * [simplify]: Extracting #7: cost 7 inf + 75356 599.604 * * [simplify]: Extracting #8: cost 0 inf + 79268 599.631 * [simplify]: Simplified to (* (/ (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1))))) 599.631 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a2 a2) (* a1 a1))))) (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))))) 599.631 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (- (* a1 a1) (* a2 a2)))) 599.632 * * [simplify]: iters left: 6 (19 enodes) 599.636 * * [simplify]: iters left: 5 (67 enodes) 599.647 * * [simplify]: iters left: 4 (89 enodes) 599.664 * * [simplify]: iters left: 3 (111 enodes) 599.694 * * [simplify]: iters left: 2 (152 enodes) 599.721 * * [simplify]: iters left: 1 (235 enodes) 599.798 * * [simplify]: Extracting #0: cost 1 inf + 0 599.799 * * [simplify]: Extracting #1: cost 8 inf + 0 599.799 * * [simplify]: Extracting #2: cost 17 inf + 0 599.799 * * [simplify]: Extracting #3: cost 46 inf + 0 599.799 * * [simplify]: Extracting #4: cost 85 inf + 62 599.799 * * [simplify]: Extracting #5: cost 84 inf + 368 599.800 * * [simplify]: Extracting #6: cost 36 inf + 5413 599.803 * * [simplify]: Extracting #7: cost 7 inf + 11458 599.806 * * [simplify]: Extracting #8: cost 1 inf + 14237 599.809 * * [simplify]: Extracting #9: cost 0 inf + 15021 599.812 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (sqrt (* (+ a2 a1) (- a1 a2)))) (cbrt (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))) 599.812 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (cbrt (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))) (/ (/ (sqrt (cos th)) (sqrt (* (+ a2 a1) (- a1 a2)))) (cbrt (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))))))) 599.813 * * * * [progress]: [ 1025 / 2703 ] simplifiying candidate # 599.814 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) 599.814 * * [simplify]: iters left: 6 (20 enodes) 599.819 * * [simplify]: iters left: 5 (67 enodes) 599.831 * * [simplify]: iters left: 4 (80 enodes) 599.855 * * [simplify]: iters left: 3 (90 enodes) 599.871 * * [simplify]: iters left: 2 (93 enodes) 599.884 * * [simplify]: Extracting #0: cost 1 inf + 0 599.884 * * [simplify]: Extracting #1: cost 10 inf + 0 599.884 * * [simplify]: Extracting #2: cost 23 inf + 0 599.884 * * [simplify]: Extracting #3: cost 33 inf + 0 599.884 * * [simplify]: Extracting #4: cost 37 inf + 62 599.884 * * [simplify]: Extracting #5: cost 39 inf + 325 599.884 * * [simplify]: Extracting #6: cost 42 inf + 326 599.884 * * [simplify]: Extracting #7: cost 33 inf + 1015 599.885 * * [simplify]: Extracting #8: cost 19 inf + 4589 599.886 * * [simplify]: Extracting #9: cost 15 inf + 6021 599.887 * * [simplify]: Extracting #10: cost 4 inf + 12279 599.890 * * [simplify]: Extracting #11: cost 0 inf + 14794 599.894 * [simplify]: Simplified to (/ (/ (/ (sqrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) 599.894 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (/ (sqrt (cos th)) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))))) (/ (/ (sqrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))))) 599.894 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 599.894 * * [simplify]: iters left: 6 (19 enodes) 599.905 * * [simplify]: iters left: 5 (62 enodes) 599.916 * * [simplify]: iters left: 4 (70 enodes) 599.926 * * [simplify]: iters left: 3 (73 enodes) 599.936 * * [simplify]: Extracting #0: cost 1 inf + 0 599.936 * * [simplify]: Extracting #1: cost 8 inf + 0 599.936 * * [simplify]: Extracting #2: cost 17 inf + 0 599.936 * * [simplify]: Extracting #3: cost 25 inf + 0 599.936 * * [simplify]: Extracting #4: cost 29 inf + 62 599.936 * * [simplify]: Extracting #5: cost 31 inf + 325 599.937 * * [simplify]: Extracting #6: cost 31 inf + 609 599.937 * * [simplify]: Extracting #7: cost 25 inf + 1015 599.937 * * [simplify]: Extracting #8: cost 16 inf + 2593 599.938 * * [simplify]: Extracting #9: cost 6 inf + 6544 599.941 * * [simplify]: Extracting #10: cost 0 inf + 9886 599.943 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))) 599.943 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (/ (/ (sqrt (cos th)) (sqrt (* (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))))) 599.944 * * * * [progress]: [ 1026 / 2703 ] simplifiying candidate # 599.944 * [simplify]: Simplifying (/ (/ (sqrt (cos th)) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) 599.944 * * [simplify]: iters left: 6 (19 enodes) 599.953 * * [simplify]: iters left: 5 (62 enodes) 599.973 * * [simplify]: iters left: 4 (70 enodes) 599.992 * * [simplify]: iters left: 3 (73 enodes)